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Zeitschrift fur Angewandte Mathematik und Physik最新文献

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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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
A two-strain malaria transmission model with seasonality and incubation period 具有季节性和潜伏期的两株疟疾传播模型
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-06 DOI: 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":null,"pages":null},"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}
引用次数: 0
Global bounded solution of a forager–exploiter model with logistic sources and different taxis mechanisms 具有物流源和不同运输机制的采集者-剥集者模型的全局有界解
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-06 DOI: 10.1007/s00033-023-02114-6
Changfeng Liu, Shangjiang Guo
{"title":"Global bounded solution of a forager–exploiter model with logistic sources and different taxis mechanisms","authors":"Changfeng Liu, Shangjiang Guo","doi":"10.1007/s00033-023-02114-6","DOIUrl":"https://doi.org/10.1007/s00033-023-02114-6","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135345422","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
On Liouville-type theorems for the stationary nematic liquid crystal equations 关于平稳向列液晶方程的liouville型定理
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-06 DOI: 10.1007/s00033-023-02103-9
Jie Zhang, Shu Wang, Fan Wu
{"title":"On Liouville-type theorems for the stationary nematic liquid crystal equations","authors":"Jie Zhang, Shu Wang, Fan Wu","doi":"10.1007/s00033-023-02103-9","DOIUrl":"https://doi.org/10.1007/s00033-023-02103-9","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135345428","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 existence of solutions for parabolic problem with the limiting case of double phase flux 双相通量极限情况下抛物型问题解的存在性
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-06 DOI: 10.1007/s00033-023-02109-3
Wen-Shuo Yuan, Bin Ge, Qing-Hai Cao, Yu Zhang
{"title":"The existence of solutions for parabolic problem with the limiting case of double phase flux","authors":"Wen-Shuo Yuan, Bin Ge, Qing-Hai Cao, Yu Zhang","doi":"10.1007/s00033-023-02109-3","DOIUrl":"https://doi.org/10.1007/s00033-023-02109-3","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135352267","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
Capillarity-driven Stokes flow: the one-phase problem as small viscosity limit 毛细管驱动的Stokes流:小粘度极限的单相问题
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-06 DOI: 10.1007/s00033-023-02101-x
Bogdan-Vasile Matioc, Georg Prokert
{"title":"Capillarity-driven Stokes flow: the one-phase problem as small viscosity limit","authors":"Bogdan-Vasile Matioc, Georg Prokert","doi":"10.1007/s00033-023-02101-x","DOIUrl":"https://doi.org/10.1007/s00033-023-02101-x","url":null,"abstract":"Abstract We consider the quasistationary Stokes flow that describes the motion of a two-dimensional fluid body under the influence of surface tension effects in an unbounded, infinite-bottom geometry. We reformulate the problem as a fully nonlinear parabolic evolution problem for the function that parameterizes the boundary of the fluid with the nonlinearities expressed in terms of singular integrals. We prove well-posedness of the problem in the subcritical Sobolev spaces $$H^s(mathbb {R})$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:msup> <mml:mi>H</mml:mi> <mml:mi>s</mml:mi> </mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>R</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> up to critical regularity, and establish parabolic smoothing properties for the solutions. Moreover, we identify the problem as the singular limit of the two-phase quasistationary Stokes flow when the viscosity of one of the fluids vanishes.","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135351838","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
Study of the stability to an anisotropic reaction–diffusion equation 各向异性反应扩散方程的稳定性研究
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-03 DOI: 10.1007/s00033-023-02072-z
Huashui Zhan
{"title":"Study of the stability to an anisotropic reaction–diffusion equation","authors":"Huashui Zhan","doi":"10.1007/s00033-023-02072-z","DOIUrl":"https://doi.org/10.1007/s00033-023-02072-z","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135690012","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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