Pub Date : 2024-08-05DOI: 10.1080/03605302.2024.2380696
Nilasis Chaudhuri, Muhammed Ali Mehmood, Charlotte Perrin, Ewelina Zatorska
We introduce the notion of duality solution for the hard-congestion model on the real line, and additionally prove an existence result for this class of solutions. Our study revolves around the ana...
我们为实线上的硬拥塞模型引入了对偶解的概念，并证明了这类解的存在性结果。我们的研究围绕...
{"title":"Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system","authors":"Nilasis Chaudhuri, Muhammed Ali Mehmood, Charlotte Perrin, Ewelina Zatorska","doi":"10.1080/03605302.2024.2380696","DOIUrl":"https://doi.org/10.1080/03605302.2024.2380696","url":null,"abstract":"We introduce the notion of duality solution for the hard-congestion model on the real line, and additionally prove an existence result for this class of solutions. Our study revolves around the ana...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":"159 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-17DOI: 10.1080/03605302.2024.2374568
Jianfeng Lu, Felix Otto, Lihan Wang
We are interested in numerical algorithms for computing the electrical field generated by a charge distribution localized on scale l in an infinite heterogeneous medium, in a situation where the m...
我们对计算无限异质介质中局部尺度为 l 的电荷分布所产生的电场的数值算法很感兴趣。
{"title":"Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media","authors":"Jianfeng Lu, Felix Otto, Lihan Wang","doi":"10.1080/03605302.2024.2374568","DOIUrl":"https://doi.org/10.1080/03605302.2024.2374568","url":null,"abstract":"We are interested in numerical algorithms for computing the electrical field generated by a charge distribution localized on scale l in an infinite heterogeneous medium, in a situation where the m...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":"34 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-08DOI: 10.1080/03605302.2024.2348047
Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla
Consider a Conservation Law and a Hamilton-Jacobi equation with a flux/Hamiltonian depending also on the space variable. We characterize first the attainable set of the two equations and, second, t...
{"title":"Initial data identification in space dependent conservation laws and Hamilton-Jacobi equations","authors":"Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla","doi":"10.1080/03605302.2024.2348047","DOIUrl":"https://doi.org/10.1080/03605302.2024.2348047","url":null,"abstract":"Consider a Conservation Law and a Hamilton-Jacobi equation with a flux/Hamiltonian depending also on the space variable. We characterize first the attainable set of the two equations and, second, t...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":"23 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141612511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-01DOI: 10.1080/03605302.2024.2358500
Claudia García, Luis Vega
In this paper we use bifurcation methods to construct a new family of solutions of the binormal flow, also known as the vortex filament equation, which do not change their form. Our examples are co...
{"title":"Steady solutions for the Schrödinger map equation","authors":"Claudia García, Luis Vega","doi":"10.1080/03605302.2024.2358500","DOIUrl":"https://doi.org/10.1080/03605302.2024.2358500","url":null,"abstract":"In this paper we use bifurcation methods to construct a new family of solutions of the binormal flow, also known as the vortex filament equation, which do not change their form. Our examples are co...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":"42 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141612509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-27DOI: 10.1080/03605302.2024.2366226
Roberta Bianchini, Vincent Duchêne
This article is concerned with rigorously justifying the hydrostatic limit for continuously stratified incompressible fluids under the influence of gravity. The main distinction of this work compar...
{"title":"On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity","authors":"Roberta Bianchini, Vincent Duchêne","doi":"10.1080/03605302.2024.2366226","DOIUrl":"https://doi.org/10.1080/03605302.2024.2366226","url":null,"abstract":"This article is concerned with rigorously justifying the hydrostatic limit for continuously stratified incompressible fluids under the influence of gravity. The main distinction of this work compar...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":"28 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141612510","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-27DOI: 10.1080/03605302.2024.2346942
Mihajlo Cekić, Thibault Lefeuvre
On a Riemannian manifold (M, g) with Anosov geodesic flow, the problem of recovering a connection from the knowledge of traces of its holonomies along primitive closed geodesics is known as the hol...
{"title":"Stability estimates for the holonomy inverse problem","authors":"Mihajlo Cekić, Thibault Lefeuvre","doi":"10.1080/03605302.2024.2346942","DOIUrl":"https://doi.org/10.1080/03605302.2024.2346942","url":null,"abstract":"On a Riemannian manifold (M, g) with Anosov geodesic flow, the problem of recovering a connection from the knowledge of traces of its holonomies along primitive closed geodesics is known as the hol...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":"96 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141510810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-27DOI: 10.1080/03605302.2024.2338534
Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone
We study a class of two-dimensional nonlinear Schrödinger equations with point-like singular perturbation and Hartree non-linearity. The point-like singular perturbation of the free Laplacian induc...
{"title":"Standing waves and global well-posedness for the 2d Hartree equation with a point interaction","authors":"Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone","doi":"10.1080/03605302.2024.2338534","DOIUrl":"https://doi.org/10.1080/03605302.2024.2338534","url":null,"abstract":"We study a class of two-dimensional nonlinear Schrödinger equations with point-like singular perturbation and Hartree non-linearity. The point-like singular perturbation of the free Laplacian induc...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":"14 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141150635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-26DOI: 10.1080/03605302.2024.2341070
Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
In this paper, we prove new results on the validity of the limiting amplitude principle (LAP) for the wave equation with nonconstant coefficients, not necessarily in divergence form. Under suitable...
{"title":"On the limiting amplitude principle for the wave equation with variable coefficients","authors":"Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev","doi":"10.1080/03605302.2024.2341070","DOIUrl":"https://doi.org/10.1080/03605302.2024.2341070","url":null,"abstract":"In this paper, we prove new results on the validity of the limiting amplitude principle (LAP) for the wave equation with nonconstant coefficients, not necessarily in divergence form. Under suitable...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":"131 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141150621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-25DOI: 10.1080/03605302.2024.2337637
Serena Dipierro, Nicola Soave, Enrico Valdinoci
In this paper we prove some results on the boundary behavior of solutions to fractional elliptic problems. Firstly, we establish a Hopf Lemma for solutions to some integro-differential equations. T...
{"title":"A fractional Hopf Lemma for sign-changing solutions","authors":"Serena Dipierro, Nicola Soave, Enrico Valdinoci","doi":"10.1080/03605302.2024.2337637","DOIUrl":"https://doi.org/10.1080/03605302.2024.2337637","url":null,"abstract":"In this paper we prove some results on the boundary behavior of solutions to fractional elliptic problems. Firstly, we establish a Hopf Lemma for solutions to some integro-differential equations. T...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":"41 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141150743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-25DOI: 10.1080/03605302.2024.2346146
Alexis F. Vasseur, Jincheng Yang
We provide an unconditional L2 upper bound for the boundary layer separation of Leray–Hopf solutions in a smooth bounded domain. By layer separation, we mean the discrepancy between a (turbulent) l...
{"title":"Layer separation of the 3D incompressible Navier–Stokes equation in a bounded domain","authors":"Alexis F. Vasseur, Jincheng Yang","doi":"10.1080/03605302.2024.2346146","DOIUrl":"https://doi.org/10.1080/03605302.2024.2346146","url":null,"abstract":"We provide an unconditional L2 upper bound for the boundary layer separation of Leray–Hopf solutions in a smooth bounded domain. By layer separation, we mean the discrepancy between a (turbulent) l...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":"43 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141150607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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