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Zeitschrift fur Angewandte Mathematik und Physik最新文献

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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
Critical mass curves for a short-ranged chemical signaling loop 短程化学信号环路的临界质量曲线
IF 2 3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-04 DOI: 10.1007/s00033-023-02087-6
Hao Yu, Bingqian Xue, Lifen Zhao
{"title":"Critical mass curves for a short-ranged chemical signaling loop","authors":"Hao Yu, Bingqian Xue, Lifen Zhao","doi":"10.1007/s00033-023-02087-6","DOIUrl":"https://doi.org/10.1007/s00033-023-02087-6","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":"46333487","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
Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels 具有截断张量核的非局部周动力方程的正则性和收敛性
IF 2 3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-02 DOI: 10.1007/s00033-023-02078-7
Mengna Yang, Yufeng Nie
{"title":"Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels","authors":"Mengna Yang, Yufeng Nie","doi":"10.1007/s00033-023-02078-7","DOIUrl":"https://doi.org/10.1007/s00033-023-02078-7","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43305649","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 the nonlocal diffusive vector-disease model with delay and spatial heterogeneity 具有时滞和空间异质性的非局部扩散矢量疾病模型的动力学
IF 2 3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-02 DOI: 10.1007/s00033-023-02077-8
Quanli Ji, Ranchao Wu, Zhaosheng Feng
{"title":"Dynamics of the nonlocal diffusive vector-disease model with delay and spatial heterogeneity","authors":"Quanli Ji, Ranchao Wu, Zhaosheng Feng","doi":"10.1007/s00033-023-02077-8","DOIUrl":"https://doi.org/10.1007/s00033-023-02077-8","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43181209","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
Energy conservation and well-posedness of the Camassa–Holm equation in Sobolev spaces Sobolev空间中Camassa-Holm方程的能量守恒和适定性
IF 2 3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-02 DOI: 10.1007/s00033-023-02081-y
Yingying Guo, Weikui Ye
{"title":"Energy conservation and well-posedness of the Camassa–Holm equation in Sobolev spaces","authors":"Yingying Guo, Weikui Ye","doi":"10.1007/s00033-023-02081-y","DOIUrl":"https://doi.org/10.1007/s00033-023-02081-y","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48495042","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
Uniform elastic field within an imperfectly bonded isotropic or anisotropic ellipsoidal inhomogeneity 非完全结合各向同性或各向异性椭球不均匀性内的均匀弹性场
IF 2 3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-09-02 DOI: 10.1007/s00033-023-02071-0
Xu Wang, P. Schiavone
{"title":"Uniform elastic field within an imperfectly bonded isotropic or anisotropic ellipsoidal inhomogeneity","authors":"Xu Wang, P. Schiavone","doi":"10.1007/s00033-023-02071-0","DOIUrl":"https://doi.org/10.1007/s00033-023-02071-0","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41802043","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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