Pub Date : 2023-10-14DOI: 10.1007/s00033-023-02115-5
Meina Sun, Zhijian Wei
{"title":"The vanishing pressure limits of Riemann solutions to the isothermal two-phase flow model under the external force","authors":"Meina Sun, Zhijian Wei","doi":"10.1007/s00033-023-02115-5","DOIUrl":"https://doi.org/10.1007/s00033-023-02115-5","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135800299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-14DOI: 10.1007/s00033-023-02121-7
Max Heß, Guido Schneider
Abstract The derivative nonlinear Schrödinger (DNLS) equation can be derived as an amplitude equation via multiple scaling perturbation analysis for the description of the slowly varying envelope of an underlying oscillating and traveling wave packet in dispersive wave systems. It appears in the degenerated situation when the cubic coefficient of the similarly derived NLS equation vanishes. It is the purpose of this paper to prove that the DNLS approximation makes correct predictions about the dynamics of the original system under rather weak assumptions on the original dispersive wave system if we assume that the initial conditions of the DNLS equation are analytic in a strip of the complex plane. The method is presented for a Klein–Gordon model with a cubic nonlinearity.
{"title":"A robust way to justify the derivative NLS approximation","authors":"Max Heß, Guido Schneider","doi":"10.1007/s00033-023-02121-7","DOIUrl":"https://doi.org/10.1007/s00033-023-02121-7","url":null,"abstract":"Abstract The derivative nonlinear Schrödinger (DNLS) equation can be derived as an amplitude equation via multiple scaling perturbation analysis for the description of the slowly varying envelope of an underlying oscillating and traveling wave packet in dispersive wave systems. It appears in the degenerated situation when the cubic coefficient of the similarly derived NLS equation vanishes. It is the purpose of this paper to prove that the DNLS approximation makes correct predictions about the dynamics of the original system under rather weak assumptions on the original dispersive wave system if we assume that the initial conditions of the DNLS equation are analytic in a strip of the complex plane. The method is presented for a Klein–Gordon model with a cubic nonlinearity.","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135800947","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-14DOI: 10.1007/s00033-023-02113-7
Jinhuan Wang, Haomeng Chen, Mengdi Zhuang
{"title":"Global boundedness of weak solutions to a chemotaxis–haptotaxis model with p-Laplacian diffusion","authors":"Jinhuan Wang, Haomeng Chen, Mengdi Zhuang","doi":"10.1007/s00033-023-02113-7","DOIUrl":"https://doi.org/10.1007/s00033-023-02113-7","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135800514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-14DOI: 10.1007/s00033-023-02111-9
Timothy J. Healey
{"title":"An existence theorem for a class of wrinkling models for highly stretched elastic sheets","authors":"Timothy J. Healey","doi":"10.1007/s00033-023-02111-9","DOIUrl":"https://doi.org/10.1007/s00033-023-02111-9","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135801429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-14DOI: 10.1007/s00033-023-02093-8
Quanyong Zhao, Zhongping Li
{"title":"Global boundedness and large time behavior in a chemotaxis system with indirect signal consumption","authors":"Quanyong Zhao, Zhongping Li","doi":"10.1007/s00033-023-02093-8","DOIUrl":"https://doi.org/10.1007/s00033-023-02093-8","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135803344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-13DOI: 10.1007/s00033-023-02110-w
Abhishek Chaudhary, Guy Vallet
Abstract In this article, we study the inviscid limit of the stochastic incompressible Navier–Stokes equations in three-dimensional space. We prove that a subsequence of weak martingale solutions of the stochastic incompressible Navier–Stokes equations converges strongly to a weak martingale solution of the stochastic incompressible Euler equations in the periodic domain under the well-accepted hypothesis, namely Kolmogorov hypothesis ( K41 ).
{"title":"A short remark on inviscid limit of the stochastic Navier–Stokes equations","authors":"Abhishek Chaudhary, Guy Vallet","doi":"10.1007/s00033-023-02110-w","DOIUrl":"https://doi.org/10.1007/s00033-023-02110-w","url":null,"abstract":"Abstract In this article, we study the inviscid limit of the stochastic incompressible Navier–Stokes equations in three-dimensional space. We prove that a subsequence of weak martingale solutions of the stochastic incompressible Navier–Stokes equations converges strongly to a weak martingale solution of the stochastic incompressible Euler equations in the periodic domain under the well-accepted hypothesis, namely Kolmogorov hypothesis ( K41 ).","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135854826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-13DOI: 10.1007/s00033-023-02108-4
Jaime E. Muñoz Rivera, Maria Grazia Naso
Abstract Bresse system over the interval (0, L ) with pointwise dissipation at $$xi in (0,{L})$$ ξ∈(0,L) is analyzed. The exponential stability of the related semigroup is shown provided the dissipative points are of the form $$xi in mathbb {Q}{L}$$ ξ∈QL and $$xi ne frac{n}{2m+1}L$$ ξ≠n2m+1L , where $$n,min mathbb {N}$$ n,m∈N and n , and $$2m+1$$ 2m+1 are co-prime.
摘要分析了区间(0,L)上具有点向耗散($$xi in (0,{L})$$ ξ∈(0,L)的Bresse系统。给出了相关半群的指数稳定性，其耗散点为$$xi in mathbb {Q}{L}$$ ξ∈Q L和$$xi ne frac{n}{2m+1}L$$ ξ≠n 2 m + 1 L，其中$$n,min mathbb {N}$$ n, m∈n和n, $$2m+1$$ 2 m + 1为共素数。
{"title":"Pointwise stabilization of Bresse systems","authors":"Jaime E. Muñoz Rivera, Maria Grazia Naso","doi":"10.1007/s00033-023-02108-4","DOIUrl":"https://doi.org/10.1007/s00033-023-02108-4","url":null,"abstract":"Abstract Bresse system over the interval (0, L ) with pointwise dissipation at $$xi in (0,{L})$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>ξ</mml:mi> <mml:mo>∈</mml:mo> <mml:mo>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>L</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> is analyzed. The exponential stability of the related semigroup is shown provided the dissipative points are of the form $$xi in mathbb {Q}{L}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>ξ</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>Q</mml:mi> <mml:mi>L</mml:mi> </mml:mrow> </mml:math> and $$xi ne frac{n}{2m+1}L$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>ξ</mml:mi> <mml:mo>≠</mml:mo> <mml:mfrac> <mml:mi>n</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>m</mml:mi> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:mfrac> <mml:mi>L</mml:mi> </mml:mrow> </mml:math> , where $$n,min mathbb {N}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>,</mml:mo> <mml:mi>m</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>N</mml:mi> </mml:mrow> </mml:math> and n , and $$2m+1$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>m</mml:mi> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> are co-prime.","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135854842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-06DOI: 10.1007/s00033-023-02097-4
Jinliang Wang, Meiyu Cao, Toshikazu Kuniya
Abstract In this paper, we will revisit the model studied in Lou and Zhao (J Math Biol 62:543–568, 2011), where the model takes the form of a nonlocal and time-delayed reaction–diffusion model arising from the fixed incubation period. We consider the infection age to be a continuous variable but without the limitation of the fixed incubation period, leading to an age-space structured malaria model in a bounded domain. By performing the elementary analysis, we investigate the well-posedness of the model by proving the global existence of the solution, define the explicit formula of basic reproduction number when all parameters remain constant. By analyzing the characteristic equations and designing suitable Lyapunov functions, we also establish the threshold dynamics of the constant disease-free and positive equilibria. Our theoretical results are also validated by numerical simulations for 1-dimensional and 2-dimensional domains.
在本文中，我们将重新审视Lou和Zhao (J Math Biol 62:543-568, 2011)所研究的模型，该模型采用由固定潜伏期引起的非局部延时反应扩散模型的形式。我们认为感染年龄是一个连续变量，但不受固定潜伏期的限制，从而在有界域中得到年龄空间结构的疟疾模型。通过初步分析，通过证明解的整体存在性，研究了模型的适定性，定义了所有参数保持不变时基本再现数的显式公式。通过分析特征方程和设计合适的Lyapunov函数，建立了常无病平衡点和正平衡点的阈值动力学。我们的理论结果也通过一维和二维的数值模拟得到了验证。
{"title":"Dynamical analysis of an age-space structured malaria epidemic model","authors":"Jinliang Wang, Meiyu Cao, Toshikazu Kuniya","doi":"10.1007/s00033-023-02097-4","DOIUrl":"https://doi.org/10.1007/s00033-023-02097-4","url":null,"abstract":"Abstract In this paper, we will revisit the model studied in Lou and Zhao (J Math Biol 62:543–568, 2011), where the model takes the form of a nonlocal and time-delayed reaction–diffusion model arising from the fixed incubation period. We consider the infection age to be a continuous variable but without the limitation of the fixed incubation period, leading to an age-space structured malaria model in a bounded domain. By performing the elementary analysis, we investigate the well-posedness of the model by proving the global existence of the solution, define the explicit formula of basic reproduction number when all parameters remain constant. By analyzing the characteristic equations and designing suitable Lyapunov functions, we also establish the threshold dynamics of the constant disease-free and positive equilibria. Our theoretical results are also validated by numerical simulations for 1-dimensional and 2-dimensional domains.","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"243 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134944299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-06DOI: 10.1007/s00033-023-02105-7
Jean Carlos Nakasato, Igor Pažanin
{"title":"Homogenization of the non-isothermal, non-Newtonian fluid flow in a thin domain with oscillating boundary","authors":"Jean Carlos Nakasato, Igor Pažanin","doi":"10.1007/s00033-023-02105-7","DOIUrl":"https://doi.org/10.1007/s00033-023-02105-7","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135351667","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-06DOI: 10.1007/s00033-023-02112-8
Rong Zhou, Shi-Liang Wu
{"title":"A two-strain malaria transmission model with seasonality and incubation period","authors":"Rong Zhou, Shi-Liang Wu","doi":"10.1007/s00033-023-02112-8","DOIUrl":"https://doi.org/10.1007/s00033-023-02112-8","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135352053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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