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Zeitschrift fur Angewandte Mathematik und Physik最新文献

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Spatial propagation phenomena for a diffusive epidemic model with vaccination 带有疫苗的弥漫性流行病模型的空间传播现象
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-27 DOI: 10.1007/s00033-023-02098-3
Liang Zhang
{"title":"Spatial propagation phenomena for a diffusive epidemic model with vaccination","authors":"Liang Zhang","doi":"10.1007/s00033-023-02098-3","DOIUrl":"https://doi.org/10.1007/s00033-023-02098-3","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135535872","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 3-wave resonant interaction model: spectra and instabilities of plane waves 三波共振相互作用模型:平面波的谱和不稳定性
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-27 DOI: 10.1007/s00033-023-02104-8
Marzia Romano
{"title":"The 3-wave resonant interaction model: spectra and instabilities of plane waves","authors":"Marzia Romano","doi":"10.1007/s00033-023-02104-8","DOIUrl":"https://doi.org/10.1007/s00033-023-02104-8","url":null,"abstract":"Abstract The three wave resonant interaction model (3WRI) is a non-dispersive system with quadratic coupling between the components that finds application in many areas, including nonlinear optics, fluids and plasma physics. Using its integrability, and in particular its Lax Pair representation, we carry out the linear stability analysis of the plane wave solutions interacting under resonant conditions when they are perturbed via localised perturbations. A topological classification of the so-called stability spectra is provided with respect to the physical parameters appearing both in the system itself and in its plane wave solution. Alongside the stability spectra, we compute the corresponding gain function, from which we deduce that this system is linearly unstable for any generic choice of the physical parameters. In addition to stability spectra of the same kind observed in the system of two coupled nonlinear Schrödinger equations, whose non-vanishing gain functions detect the occurrence of the modulational instability, the stability spectra of the 3WRI system possess new topological components, whose associated gain functions are different from those characterising the modulational instability. By drawing on a recent link between modulational instability and the occurrence of rogue waves, we speculate that linear instability of baseband-type can be a necessary condition for the onset of rogue wave types in the 3WRI system, thus providing a tool to predict the subsequent nonlinear evolution of the perturbation.","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135476202","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 bifurcation of coexistence states for a prey-taxis system with homogeneous Dirichlet boundary conditions 具有齐次Dirichlet边界条件的猎物趋向性系统共存状态的全局分岔
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-27 DOI: 10.1007/s00033-023-02100-y
Shanbing Li, Mingxin Wang
{"title":"Global bifurcation of coexistence states for a prey-taxis system with homogeneous Dirichlet boundary conditions","authors":"Shanbing Li, Mingxin Wang","doi":"10.1007/s00033-023-02100-y","DOIUrl":"https://doi.org/10.1007/s00033-023-02100-y","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"483 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135536559","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
Wave propagation for a non-cooperative system with nonlocal dispersal and a cyclic structure 具有非局部扩散和循环结构的非合作系统的波传播
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-26 DOI: 10.1007/s00033-023-02095-6
Bing-Er Jiang, Fei-Ying Yang, Wan-Yue Tang
{"title":"Wave propagation for a non-cooperative system with nonlocal dispersal and a cyclic structure","authors":"Bing-Er Jiang, Fei-Ying Yang, Wan-Yue Tang","doi":"10.1007/s00033-023-02095-6","DOIUrl":"https://doi.org/10.1007/s00033-023-02095-6","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134887096","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
Continuity of periodic solutions for Lotka–Volterra equations in coefficient functions 系数函数中Lotka-Volterra方程周期解的连续性
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-26 DOI: 10.1007/s00033-023-02096-5
Yaru Dou, Gang Meng, Zhe Zhou
{"title":"Continuity of periodic solutions for Lotka–Volterra equations in coefficient functions","authors":"Yaru Dou, Gang Meng, Zhe Zhou","doi":"10.1007/s00033-023-02096-5","DOIUrl":"https://doi.org/10.1007/s00033-023-02096-5","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134887194","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
Interface potential in composites with general imperfect transmission conditions 一般不完全透射条件下复合材料的界面电位
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-20 DOI: 10.1007/s00033-023-02094-7
M. Amar, D. Andreucci, C. Timofte
{"title":"Interface potential in composites with general imperfect transmission conditions","authors":"M. Amar, D. Andreucci, C. Timofte","doi":"10.1007/s00033-023-02094-7","DOIUrl":"https://doi.org/10.1007/s00033-023-02094-7","url":null,"abstract":"Abstract The model analyzed in this paper has its origins in the description of composites made by a hosting medium containing a periodic array of inclusions coated by a thin layer consisting of sublayers of two different materials. This two-phase coating material is such that the external part has a low diffusivity in the orthogonal direction, while the internal one has high diffusivity along the tangential direction. In a previous paper (Amar in IFB 21:41–59, 2019), by means of a concentration procedure, the internal layer was replaced by an imperfect interface. The present paper is concerned with the concentration of the external coating layer and the homogenization, via the periodic unfolding method, of the resulting model, which is far from being a standard one. Despite the fact that the limit problem looks like a classical Dirichlet problem for an elliptic equation, in the construction of the homogenized matrix and of the source term, a very delicate analysis is required.","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"100 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136310088","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
Traveling waves of predator–prey system with a sedentary predator 捕食者-猎物系统的行波与静止捕食者
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-20 DOI: 10.1007/s00033-023-02092-9
Hongliang Li, Yang Wang, Rong Yuan, Zhaohai Ma
{"title":"Traveling waves of predator–prey system with a sedentary predator","authors":"Hongliang Li, Yang Wang, Rong Yuan, Zhaohai Ma","doi":"10.1007/s00033-023-02092-9","DOIUrl":"https://doi.org/10.1007/s00033-023-02092-9","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136310081","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 numerical study of the de Broglie gravitational wave of the electron 电子的德布罗意引力波的数值研究
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-20 DOI: 10.1007/s00033-023-02091-w
Luca D’Errico
{"title":"A numerical study of the de Broglie gravitational wave of the electron","authors":"Luca D’Errico","doi":"10.1007/s00033-023-02091-w","DOIUrl":"https://doi.org/10.1007/s00033-023-02091-w","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136310093","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-in-time well-posedness of the one-dimensional hydrodynamic Gross–Pitaevskii equations without vacuum 无真空的一维水动力Gross-Pitaevskii方程的全局时适性
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-15 DOI: 10.1007/s00033-023-02089-4
Robert Wegner
{"title":"Global-in-time well-posedness of the one-dimensional hydrodynamic Gross–Pitaevskii equations without vacuum","authors":"Robert Wegner","doi":"10.1007/s00033-023-02089-4","DOIUrl":"https://doi.org/10.1007/s00033-023-02089-4","url":null,"abstract":"Abstract We establish global-in-time well-posedness of the one-dimensional hydrodynamic Gross–Pitaevskii equations in the absence of vacuum in $$(1 + H^s) times H^{s-1}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:msup> <mml:mi>H</mml:mi> <mml:mi>s</mml:mi> </mml:msup> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>×</mml:mo> <mml:msup> <mml:mi>H</mml:mi> <mml:mrow> <mml:mi>s</mml:mi> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> with $$s ge 1$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>s</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> . We achieve this by a reduction via the Madelung transform to the previous global-in-time well-posedness result for the Gross–Pitaevskii equation in Koch and Liao (Adv Math 377, 2021; Adv Math 420, 2023). Our core result is a local bilipschitz equivalence of the relevant function spaces, which enables the transfer of results between the two equations.","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135435619","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
Existence of solution for a class of integro-differential sublinear problems with strong singularity 一类强奇异的积分-微分次线性问题解的存在性
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-15 DOI: 10.1007/s00033-023-02085-8
Gelson C. G. dos Santos, Natan de Assis Lima, Romildo N. de Lima
{"title":"Existence of solution for a class of integro-differential sublinear problems with strong singularity","authors":"Gelson C. G. dos Santos, Natan de Assis Lima, Romildo N. de Lima","doi":"10.1007/s00033-023-02085-8","DOIUrl":"https://doi.org/10.1007/s00033-023-02085-8","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135397102","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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