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Zeitschrift fur Angewandte Mathematik und Physik最新文献

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On nonlinear perturbations of a periodic integrodifferential Kirchhoff equation with critical exponential growth 具有临界指数增长的周期积分微分Kirchhoff方程的非线性摄动
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-16 DOI: 10.1007/s00033-023-02117-3
Eudes Barboza, Yane Araújo, Gilson de Carvalho
{"title":"On nonlinear perturbations of a periodic integrodifferential Kirchhoff equation with critical exponential growth","authors":"Eudes Barboza, Yane Araújo, Gilson de Carvalho","doi":"10.1007/s00033-023-02117-3","DOIUrl":"https://doi.org/10.1007/s00033-023-02117-3","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"184 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136079468","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}
引用次数: 0
The vanishing pressure limits of Riemann solutions to the isothermal two-phase flow model under the external force 等温两相流模型在外力作用下Riemann解的消失压力极限
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-14 DOI: 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}
引用次数: 0
A robust way to justify the derivative NLS approximation 一种证明导数NLS近似的鲁棒方法
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-14 DOI: 10.1007/s00033-023-02121-7
Max Heß, Guido Schneider
{"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}
引用次数: 1
Global boundedness of weak solutions to a chemotaxis–haptotaxis model with p-Laplacian diffusion 一类p- laplace扩散趋化-趋合模型弱解的全局有界性
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-14 DOI: 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}
引用次数: 0
An existence theorem for a class of wrinkling models for highly stretched elastic sheets 一类高拉伸弹性薄板起皱模型的存在性定理
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-14 DOI: 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}
引用次数: 0
Global boundedness and large time behavior in a chemotaxis system with indirect signal consumption 具有间接信号消耗的趋化系统的全局有界性和大时间行为
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-14 DOI: 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}
引用次数: 0
A short remark on inviscid limit of the stochastic Navier–Stokes equations 关于随机Navier-Stokes方程的无粘极限
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-13 DOI: 10.1007/s00033-023-02110-w
Abhishek Chaudhary, Guy Vallet
{"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}
引用次数: 0
Pointwise stabilization of Bresse systems Bresse系统的点态稳定
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-13 DOI: 10.1007/s00033-023-02108-4
Jaime E. Muñoz Rivera, Maria Grazia Naso
{"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}
引用次数: 0
Dynamical analysis of an age-space structured malaria epidemic model 年龄空间结构疟疾流行模型的动力学分析
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-06 DOI: 10.1007/s00033-023-02097-4
Jinliang Wang, Meiyu Cao, Toshikazu Kuniya
{"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}
引用次数: 0
Homogenization of the non-isothermal, non-Newtonian fluid flow in a thin domain with oscillating boundary 非等温、非牛顿流体在具有振荡边界的薄域中的均匀化
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-06 DOI: 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}
引用次数: 0
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