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Zeitschrift fur Angewandte Mathematik und Physik最新文献

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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
A MGT thermoelastic problem with two relaxation parameters 具有两个松弛参数的MGT热弹性问题
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-15 DOI: 10.1007/s00033-023-02080-z
Noelia Bazarra, José R. Fernández, Ramón Quintanilla
{"title":"A MGT thermoelastic problem with two relaxation parameters","authors":"Noelia Bazarra, José R. Fernández, Ramón Quintanilla","doi":"10.1007/s00033-023-02080-z","DOIUrl":"https://doi.org/10.1007/s00033-023-02080-z","url":null,"abstract":"Abstract In this paper, we consider, from both analytical and numerical viewpoints, a thermoelastic problem. The so-called MGT model, with two different relaxation parameters, is used for both the displacements and the thermal displacement, leading to a linear coupled system made by two third-order in time partial differential equations. Then, using the theory of linear semi-groups the existence and uniqueness to this problem is proved. If we restrict ourselves to the one-dimensional case, the exponential decay of the energy is obtained assuming some conditions on the constitutive parameters. Then, using the classical finite element method and the implicit Euler scheme, we introduce a fully discrete approximation of a variational formulation of the thermomechanical problem. A main a priori error estimates result is shown, from which we conclude the linear convergence under suitable additional regularity conditions. Finally, we present some one-dimensional numerical simulations to demonstrate the convergence of the fully discrete approximation, the behavior of the discrete energy decay and the dependence on a coupling parameter.","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"20 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":"135395731","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
Asymptotic modeling of steady vibrations of thin inclusions in a thermoelastic composite 热弹性复合材料中薄夹杂物稳定振动的渐近模拟
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-15 DOI: 10.1007/s00033-023-02088-5
Alexey I. Furtsev, Irina V. Fankina, Alexander A. Rodionov, Dmitri A. Ponomarev
{"title":"Asymptotic modeling of steady vibrations of thin inclusions in a thermoelastic composite","authors":"Alexey I. Furtsev, Irina V. Fankina, Alexander A. Rodionov, Dmitri A. Ponomarev","doi":"10.1007/s00033-023-02088-5","DOIUrl":"https://doi.org/10.1007/s00033-023-02088-5","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"50 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":"135397356","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
Normalized Solutions to the Critical Choquard-type Equations with Weakly Attractive Potential and Nonlocal Perturbation 具有弱吸引势和非局部摄动的临界弦库型方程的归一化解
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-14 DOI: 10.1007/s00033-023-02090-x
Lei Long, Fuyi Li, Ting Rong
{"title":"Normalized Solutions to the Critical Choquard-type Equations with Weakly Attractive Potential and Nonlocal Perturbation","authors":"Lei Long, Fuyi Li, Ting Rong","doi":"10.1007/s00033-023-02090-x","DOIUrl":"https://doi.org/10.1007/s00033-023-02090-x","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134911463","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
Bv entropy solutions of two-dimensional nonstationary Prandtl boundary layer system 二维非平稳普朗特边界层系统的熵解
IF 2 3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-09 DOI: 10.1007/s00033-023-02079-6
Huashui Zhan
{"title":"Bv entropy solutions of two-dimensional nonstationary Prandtl boundary layer system","authors":"Huashui Zhan","doi":"10.1007/s00033-023-02079-6","DOIUrl":"https://doi.org/10.1007/s00033-023-02079-6","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44619142","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
Dynamics of a critical semilinear Lamé system with memory 具有记忆的临界双线性Lamé系统的动力学
IF 2 3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-04 DOI: 10.1007/s00033-023-02086-7
A. L. C. Costa, M. M. Freitas, E. H. G. Tavares, S. I. Moreira, L. G. R. Miranda
{"title":"Dynamics of a critical semilinear Lamé system with memory","authors":"A. L. C. Costa, M. M. Freitas, E. H. G. Tavares, S. I. Moreira, L. G. R. Miranda","doi":"10.1007/s00033-023-02086-7","DOIUrl":"https://doi.org/10.1007/s00033-023-02086-7","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45747503","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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