Pub Date : 2019-04-12DOI: 10.18273/REVINT.V37N1-2019001
L. Cioletti, L. Ferreira, M. Furtado
espanolEstamos interesados en una ecuacion eliptica no homogenea con potencial aleatorio y no linealidad supercritica. Obtenemos la existencia de solucion casi seguramente para una clase de potenciales que incluye continuos y discretos. Ademas, proporcionamos una ley de grandes numeros para las soluciones obtenidas por conjuntos independientes y estimamos el valor esperado para sus normas L∞. EnglishWe are concerned with a nonhomogeneous elliptic equation with random potential and supercritical nonlinearity. Existence of solution is obtained almost surely for a class of potentials that includes continuum and discrete ones. Also, we provide a law of larger numbers for the obtained solutions by independent ensembles and estimate the expected value for their L∞-norms.
我们对一个具有随机势和超临界非线性的非齐次椭圆方程感兴趣。我们得到了一类势的解的存在性，其中包括连续的和离散的。此外，我们给出了独立集解的大数定律，并估计了它们的L∞范数的期望值。有关EnglishWe are with a nonhomogeneous elliptic equation with random的潜力和supercritical nonlinearity。= =地理= =根据美国人口普查，这个县的面积为。此外，我们给出了独立集得到的解的大数定律，并估计了它们的L∞-范数的期末值。
{"title":"An elliptic equation with random potential and supercritical nonlinearity","authors":"L. Cioletti, L. Ferreira, M. Furtado","doi":"10.18273/REVINT.V37N1-2019001","DOIUrl":"https://doi.org/10.18273/REVINT.V37N1-2019001","url":null,"abstract":"espanolEstamos interesados en una ecuacion eliptica no homogenea con potencial aleatorio y no linealidad supercritica. Obtenemos la existencia de solucion casi seguramente para una clase de potenciales que incluye continuos y discretos. Ademas, proporcionamos una ley de grandes numeros para las soluciones obtenidas por conjuntos independientes y estimamos el valor esperado para sus normas L∞. EnglishWe are concerned with a nonhomogeneous elliptic equation with random potential and supercritical nonlinearity. Existence of solution is obtained almost surely for a class of potentials that includes continuum and discrete ones. Also, we provide a law of larger numbers for the obtained solutions by independent ensembles and estimate the expected value for their L∞-norms.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121397257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-04-12DOI: 10.18273/REVINT.V37N1-2019005
R. Pardo
espanolContinuamos estudiando la existencia de cotas uniformes a priori para soluciones positivas de equaciones elipticas subcriticas (P)p − Delta_pu = f(u), en Omega, u = 0, sobre ∂Omega, Proporcionamos condiciones suficientes para que las soluciones positivas en C1,μ (overline{Omega }) de una clase de problemas elipticos subcriticos tengan cotas a-priori L∞ en dominios acotados, convexos, y de clase C2. En esta parte II, extendemos nuestros resultados a sistemas elipticos Hamiltonianos −Delta u = f(v), −Delta v = g(u), en Omega , u = v = 0 sobre ∂ Omega, cuando f(v) = vp/[ln(e + v)]α, g(u) = uq/[ln(e + u)]β, con α, β > 2/(N − 2), y p, q varian sobre la hiperbola critica de Sobolev 1/p+1 + 1/q+1 = N−2/N . Para ecuaciones elipticas cuasilineales que involucran al operador p-Laplacian, existen cotas a-priori para soluciones positivas de (P)p en el espacio C1,μ(overline {Omega }), μ ∈ (0, 1), cuando f(u) = up⋆−1/[ln(e + u)]α, con p∗ = Np/(N − p), y α > p/(N − p). Tambien estudiamos el comportamiento asintotico de soluciones radialmente simetric uα = uα(r) de (P)2 cuando α → 0. EnglishWe continue studying the existence of uniform L∞ a priori bounds for positive solutions of subcritical elliptic equations(P)p − Delta_pu = f(u), in Omega, u = 0, on ∂Omega,We provide sufficient conditions for having a-priori L∞ bounds for C1,μ (overline{Omega }) positive solutions to a class of subcritical elliptic problems in bounded, convex, C2 domains. In this part II, we extend our results to Hamiltonian elliptic systems −Delta u = f(v),−Deltav = g(u), in Omega, u = v = 0 on ∂Omega, when f(v) = vp /[ln(e + v)]α, g(u) = uq/[ln(e + u)]β, with α, β > 2/(N − 2), and p, q are lying in the critical Sobolev hyperbolae 1/p+1 + 1/q+1 = N−2/N . For quasilinear elliptic equations involving the p-Laplacian, there exists a-priori bounds for positive solutions of (P)p when f(u) = up⋆−1/[ln(e + u)]α, with p∗ = Np/(N−p), and α > p/(N−p). We also study the asymptotic behavior of radially symmetric solutions uα = uα(r) of (P)2 as α → 0.
espanolContinuamos探索解决方案的台阶制服事先存在积极的equaciones elipticas subcriticas (P) P− Delta_pu = f (u),ω,u = 0,关于∂ω足够提供条件,积极解决C1,μ(overline{欧米茄})类问题elipticos subcriticos有台阶a-priori升∞有限域、、类和C2。在第二部分中,扩展我们的发现系统elipticos Hamiltonianos− Delta u = f (v),− Delta v = g (u)、ω,u ' = v = 0∂ω,当f (v) = vp /[还好吗(e + v)]α,g (u) = uq /[这里吗(e + u)]β、α,β> 2 / (N−2),而p, q varian hiperbola批评Sobolev 1 / p / q + 1 + 1 + 1 = N−2 / N。为方程式elipticas cuasilineales涉及接线员p-Laplacian积极的解决方案,有台阶a-priori C1,μ空间(P) P (overline{欧米茄})、μ∈(0,1),当f (u) = up⋆−1 /[这里吗(e + u)]α,P .∗= Np / (N−(P)和α> P / (N−P)亦被检查行为asintotico解决径向非simetric或α= uα(r) (P) 2当α→0。EnglishWe继续学习制品和事先对L∞bounds for积极solutions of亚临界elliptic equations (P) P−Delta_pu = f (u), in ω,u = 0,∂ω上,我们提供sufficient conditions for L已经a-priori∞bounds for C1,μ(overline{ω})积极solutions to class of亚临界elliptic problems in bounded convex、C2域名。In this part II,我们扩展我们的结果to Hamiltonian elliptic systems− Delta u = f (v),−Deltav = g (u), In ω、u = v = 0 on∂ω,当f (v) = vp /[这里吗(e + v)α,g (u) = uq] /[这里吗(e + u)]β、α、β> 2 / (N−2),and p, q are lying In the critical Sobolev hyperbolae 1 / q / p + 1 + 1 + 1 = N−2 / N。对于涉及P -拉普拉斯的拟线性椭圆方程，当f(u) = up—1/[ln(e + u)]α时，存在(P) P的正解的a先验边界，且P∗= Np/(N−P)，且α > P /(N−P)。我们还研究了(P)2 as α→0的径向对称解uα = uα(r)的渐近行为。
{"title":"On the existence of a priori bounds for positive solutions of elliptic problems, I","authors":"R. Pardo","doi":"10.18273/REVINT.V37N1-2019005","DOIUrl":"https://doi.org/10.18273/REVINT.V37N1-2019005","url":null,"abstract":"espanolContinuamos estudiando la existencia de cotas uniformes a priori para soluciones positivas de equaciones elipticas subcriticas (P)p − Delta_pu = f(u), en Omega, u = 0, sobre ∂Omega, Proporcionamos condiciones suficientes para que las soluciones positivas en C1,μ (overline{Omega }) de una clase de problemas elipticos subcriticos tengan cotas a-priori L∞ en dominios acotados, convexos, y de clase C2. En esta parte II, extendemos nuestros resultados a sistemas elipticos Hamiltonianos −Delta u = f(v), −Delta v = g(u), en Omega , u = v = 0 sobre ∂ Omega, cuando f(v) = vp/[ln(e + v)]α, g(u) = uq/[ln(e + u)]β, con α, β > 2/(N − 2), y p, q varian sobre la hiperbola critica de Sobolev 1/p+1 + 1/q+1 = N−2/N . Para ecuaciones elipticas cuasilineales que involucran al operador p-Laplacian, existen cotas a-priori para soluciones positivas de (P)p en el espacio C1,μ(overline {Omega }), μ ∈ (0, 1), cuando f(u) = up⋆−1/[ln(e + u)]α, con p∗ = Np/(N − p), y α > p/(N − p). Tambien estudiamos el comportamiento asintotico de soluciones radialmente simetric uα = uα(r) de (P)2 cuando α → 0. EnglishWe continue studying the existence of uniform L∞ a priori bounds for positive solutions of subcritical elliptic equations(P)p − Delta_pu = f(u), in Omega, u = 0, on ∂Omega,We provide sufficient conditions for having a-priori L∞ bounds for C1,μ (overline{Omega }) positive solutions to a class of subcritical elliptic problems in bounded, convex, C2 domains. In this part II, we extend our results to Hamiltonian elliptic systems −Delta u = f(v),−Deltav = g(u), in Omega, u = v = 0 on ∂Omega, when f(v) = vp /[ln(e + v)]α, g(u) = uq/[ln(e + u)]β, with α, β > 2/(N − 2), and p, q are lying in the critical Sobolev hyperbolae 1/p+1 + 1/q+1 = N−2/N . For quasilinear elliptic equations involving the p-Laplacian, there exists a-priori bounds for positive solutions of (P)p when f(u) = up⋆−1/[ln(e + u)]α, with p∗ = Np/(N−p), and α > p/(N−p). We also study the asymptotic behavior of radially symmetric solutions uα = uα(r) of (P)2 as α → 0.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"130 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133973572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-04-12DOI: 10.18273/REVINT.V37N1-2019003
W. Ingram, Rolla MissouriUSA. Emeritus
espanolEn los anos desde su introduccion en 2004, casi 100 articulos y libros han sido escritos sobre limites inversos con funciones multivaluadas. Aunque tales limites inversos no siempre producen continuos, muchos aspectosde la teoria clasica de los continuos aparecen en las investigaciones de estos objetos interesantes. En este articulo discutimos varios de los temas tradicionales que han surgido en el estudio de este tema. EnglishIn the years since their introduction in 2004, almost 100 articles and books have been written on the subject of inverse limits with set-valued functions. Although such inverse limits do not always produce continua, much traditional continuum theory arises in investigations of these interesting objects. In this survey article we discuss several tradtional topics that have arisen in research into the subject.
{"title":"Traditional continuum theory arising in inverse limits with set-valued functions","authors":"W. Ingram, Rolla MissouriUSA. Emeritus","doi":"10.18273/REVINT.V37N1-2019003","DOIUrl":"https://doi.org/10.18273/REVINT.V37N1-2019003","url":null,"abstract":"espanolEn los anos desde su introduccion en 2004, casi 100 articulos y libros han sido escritos sobre limites inversos con funciones multivaluadas. Aunque tales limites inversos no siempre producen continuos, muchos aspectosde la teoria clasica de los continuos aparecen en las investigaciones de estos objetos interesantes. En este articulo discutimos varios de los temas tradicionales que han surgido en el estudio de este tema. EnglishIn the years since their introduction in 2004, almost 100 articles and books have been written on the subject of inverse limits with set-valued functions. Although such inverse limits do not always produce continua, much traditional continuum theory arises in investigations of these interesting objects. In this survey article we discuss several tradtional topics that have arisen in research into the subject.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134335228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-04-12DOI: 10.18273/REVINT.V37N1-2019007
D. Bellamy
espanolEl teorema demostrado es que todo continuo metrico es imagen continua de algun continuo metrico hereditariamente indescomponible. EnglishThe theorem proven here is that every compact metric continuum is a continuous image of some hereditarily indecomposable metric continuum.
证明的定理是，每一个度量连续体都是某些遗传不可分解的度量连续体的连续象。EnglishThe theorem可靠here is that每一个契约metric自始至终是continuous image of some hereditarily indecomposable metric自始至终。
{"title":"Continuous images of hereditarily indecomposable continua","authors":"D. Bellamy","doi":"10.18273/REVINT.V37N1-2019007","DOIUrl":"https://doi.org/10.18273/REVINT.V37N1-2019007","url":null,"abstract":"espanolEl teorema demostrado es que todo continuo metrico es imagen continua de algun continuo metrico hereditariamente indescomponible. EnglishThe theorem proven here is that every compact metric continuum is a continuous image of some hereditarily indecomposable metric continuum.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129084110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-04-12DOI: 10.18273/REVINT.V37N1-2019002
S. Macías
espanolEstudiamos a los continuos de Hausdorff con la propiedad de Kelley. Presentamos la version para continuos de Hausdorff de varios resultados conocidos en el caso metrico. Establecemos una version debil de Hausdorff del Teorema de Descomposicion Aposindetica de Jones. EnglishWe study Hausdorff continua with the property of Kelley. We present Hausdorff version of several results known in the metric case. We also establish a weak Hausdorff version of Jones’ Aposyndetic Decomposition Theorem.
{"title":"The property of Kelley and continua","authors":"S. Macías","doi":"10.18273/REVINT.V37N1-2019002","DOIUrl":"https://doi.org/10.18273/REVINT.V37N1-2019002","url":null,"abstract":"espanolEstudiamos a los continuos de Hausdorff con la propiedad de Kelley. Presentamos la version para continuos de Hausdorff de varios resultados conocidos en el caso metrico. Establecemos una version debil de Hausdorff del Teorema de Descomposicion Aposindetica de Jones. EnglishWe study Hausdorff continua with the property of Kelley. We present Hausdorff version of several results known in the metric case. We also establish a weak Hausdorff version of Jones’ Aposyndetic Decomposition Theorem.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123934818","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-04-12DOI: 10.18273/REVINT.V37N1-2019004
E. León-Cardenal, Zacatecas México. Centro de Investigación en Matemáticas, W. A. Zúñiga-Galindo
espanolEn este articulo panoramico brindamos una introduccion a la teoria de las funciones zeta locales p-adicas para principiantes. Tambien se presenta una revision extensiva a la literatura especializada sobre funciones zeta locales y sus conexiones con otros campos de las matematicas y la fisica. EnglishThis survey article aims to provide an introduction to the theory of local zeta functions in the p-adic framework for beginners. We also give an extensive guide to the current literature on local zeta functions and its connections with other fields in mathematics and physics.
在这篇全景文章中，我们为初学者介绍了p-adic局部ζ函数的理论。本文还对局部ζ函数及其与数学和物理其他领域的联系的文献进行了广泛的综述。这篇文章的目的是介绍p-adic框架中的局部ζ函数理论。我们也给an广泛的guide to the current文学on local泽塔and its connections with other fields in数学和履行职务。
{"title":"An Introduction to the Theory of Local Zeta Functions from Scratch","authors":"E. León-Cardenal, Zacatecas México. Centro de Investigación en Matemáticas, W. A. Zúñiga-Galindo","doi":"10.18273/REVINT.V37N1-2019004","DOIUrl":"https://doi.org/10.18273/REVINT.V37N1-2019004","url":null,"abstract":"espanolEn este articulo panoramico brindamos una introduccion a la teoria de las funciones zeta locales p-adicas para principiantes. Tambien se presenta una revision extensiva a la literatura especializada sobre funciones zeta locales y sus conexiones con otros campos de las matematicas y la fisica. EnglishThis survey article aims to provide an introduction to the theory of local zeta functions in the p-adic framework for beginners. We also give an extensive guide to the current literature on local zeta functions and its connections with other fields in mathematics and physics.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"107 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122606303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-04-12DOI: 10.18273/REVINT.V37N1-2019009
Carlos Enrique Uzcátegui Aylwin
espanolUn ideal sobre un conjunto X es una coleccion de subconjuntos de X cerrada bajo las operaciones de tomar uniones finitas y subconjuntos de sus elementos. Los ideales son una nocion muy util en topologia y teoriade conjuntos y han sido estudiados desde hace mucho tiempo. Presentamos una revision de algunos resultados sobre ideales en conjuntos numerables incluyendo preguntas abiertas sobre este tema. EnglishAn ideal on a set X is a collection of subsets of X closed under the operations of taking finite unions and subsets of its elements. Ideals are a very useful notion in topology and set theory and have been studied for a long time. We present a survey of results about ideals on countable sets and include many open questions.
集合X上的理想是在取有限并集及其元素子集的运算下封闭的X子集的集合。理想是拓扑和集合理论中非常有用的诺子，人们对它的研究已经有很长时间了。本文回顾了可数集理想的一些结果，包括关于这个主题的开放问题。理想EnglishAn on a集合X is a collection of subsets of X推出under the operations of finite工会采取and subsets of its elements。= =地理= =根据美国人口普查，这个县的面积为。我们目前调查结果about ideals on countable sets and open问题包括许多。
{"title":"Ideals on countable sets: a survey with questions","authors":"Carlos Enrique Uzcátegui Aylwin","doi":"10.18273/REVINT.V37N1-2019009","DOIUrl":"https://doi.org/10.18273/REVINT.V37N1-2019009","url":null,"abstract":"espanolUn ideal sobre un conjunto X es una coleccion de subconjuntos de X cerrada bajo las operaciones de tomar uniones finitas y subconjuntos de sus elementos. Los ideales son una nocion muy util en topologia y teoriade conjuntos y han sido estudiados desde hace mucho tiempo. Presentamos una revision de algunos resultados sobre ideales en conjuntos numerables incluyendo preguntas abiertas sobre este tema. EnglishAn ideal on a set X is a collection of subsets of X closed under the operations of taking finite unions and subsets of its elements. Ideals are a very useful notion in topology and set theory and have been studied for a long time. We present a survey of results about ideals on countable sets and include many open questions.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"210 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128202839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-04-12DOI: 10.18273/REVINT.V37N1-2019008
C. P. Milies
espanolEstudiamos codigos construidos a partir de ideales de algebras de grupo y estamos particularmente interesados en sus dimensiones y pesos. Introducimos inicialmente un tipo especial de idempotentes y estudiamos los ideales que generan. Usamos esta informacion para mostrar que existen grupos abelianos no ciclicos que son mas convenientes que los ciclicos. Finalmente, discutimos brevemente algunos resultados sobre codigos no abelianos. EnglishWe study codes constructed from ideals in group algebras and we are particularly interested in their dimensions and weights. First we introduced a special kind of idempotents and study the ideals they generate.We use this information to show that there exist abelian non-cyclic groups that give codes which are more convenient than the cyclic ones. Finally, we discuss briefly some facts about non-abelian codes.
{"title":"Group algebras and coding theory: a short survey","authors":"C. P. Milies","doi":"10.18273/REVINT.V37N1-2019008","DOIUrl":"https://doi.org/10.18273/REVINT.V37N1-2019008","url":null,"abstract":"espanolEstudiamos codigos construidos a partir de ideales de algebras de grupo y estamos particularmente interesados en sus dimensiones y pesos. Introducimos inicialmente un tipo especial de idempotentes y estudiamos los ideales que generan. Usamos esta informacion para mostrar que existen grupos abelianos no ciclicos que son mas convenientes que los ciclicos. Finalmente, discutimos brevemente algunos resultados sobre codigos no abelianos. EnglishWe study codes constructed from ideals in group algebras and we are particularly interested in their dimensions and weights. First we introduced a special kind of idempotents and study the ideals they generate.We use this information to show that there exist abelian non-cyclic groups that give codes which are more convenient than the cyclic ones. Finally, we discuss briefly some facts about non-abelian codes.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129154788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-02-22DOI: 10.18273/REVINT.V37N2-2019004
Fernando A. Morales
We present the asymptotic analysis of a Darcy-Stokes coupledsystem, modeling the fluid exchange between a narrow channel(Stokes flow)and a porous medium (Darcy flow), coupled through aC2curved interface.The channel is a cylindrical domain between the interface (Γ) and a paralleltranslation of itself (Γ +ǫbeN, ǫ >0). The introduction of a change variable(to fix the domain geometry) and the introduction of two systems of coor-dinates: the Cartesian and a local one (consistent with the geometry of thesurface), permit to find the limiting form of the system when the width of thechannel tends to zero (ǫ→0). The limit problem is a coupled system withDarcy flow in the porous medium and Brinkman flow on the curved interface(Γ).
{"title":"The asymptotic analysis of a Darcy-Stokessystem coupled through a curved interface","authors":"Fernando A. Morales","doi":"10.18273/REVINT.V37N2-2019004","DOIUrl":"https://doi.org/10.18273/REVINT.V37N2-2019004","url":null,"abstract":"We present the asymptotic analysis of a Darcy-Stokes coupledsystem, modeling the fluid exchange between a narrow channel(Stokes flow)and a porous medium (Darcy flow), coupled through aC2curved interface.The channel is a cylindrical domain between the interface (Γ) and a paralleltranslation of itself (Γ +ǫbeN, ǫ >0). The introduction of a change variable(to fix the domain geometry) and the introduction of two systems of coor-dinates: the Cartesian and a local one (consistent with the geometry of thesurface), permit to find the limiting form of the system when the width of thechannel tends to zero (ǫ→0). The limit problem is a coupled system withDarcy flow in the porous medium and Brinkman flow on the curved interface(Γ).","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"106 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121485740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-02-21DOI: 10.18273/revint.v37n1-2019006
R. Pardo
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