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Zeitschrift fur Angewandte Mathematik und Physik最新文献

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Shear-induced wrinkling in accelerating thin elastic discs 加速薄弹性圆盘剪切引起的起皱
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-11-09 DOI: 10.1007/s00033-023-02131-5
Ciprian D. Coman
{"title":"Shear-induced wrinkling in accelerating thin elastic discs","authors":"Ciprian D. Coman","doi":"10.1007/s00033-023-02131-5","DOIUrl":"https://doi.org/10.1007/s00033-023-02131-5","url":null,"abstract":"Abstract The wrinkling instabilities produced by in-plane angular accelerations in a rotating disc are discussed here in a particular limit of relevance to very thin plates. By coupling the classical linear elasticity solution for this configuration with the Föppl–von Kármán plate buckling equation, a fourth-order boundary-value problem with variable coefficients is obtained. The singular-perturbation character of the resulting problem arises from a combination of factors encompassing both the pre-stress (due to the spinning motion) and the geometry of the annular domain. With the help of a simplified multiple-scale perturbation method in conjunction with matched asymptotics, we succeed in capturing the dependence of the critical (wrinkling) acceleration on the instantaneous speed of the disc as well as other physical parameters. We show that the asymptotic predictions compare well with the results of direct numerical simulations of the original bifurcation problem. The limitations of the formulae obtained are also considered, and some practical suggestions for improving their accuracy are suggested.","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135240992","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 dynamics in a chemotaxis system involving nonlinear indirect signal secretion and logistic source 涉及非线性间接信号分泌和逻辑源的趋化系统的全局动力学
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-11-09 DOI: 10.1007/s00033-023-02126-2
Chang-Jian Wang, Pengyan Wang, Xincai Zhu
{"title":"Global dynamics in a chemotaxis system involving nonlinear indirect signal secretion and logistic source","authors":"Chang-Jian Wang, Pengyan Wang, Xincai Zhu","doi":"10.1007/s00033-023-02126-2","DOIUrl":"https://doi.org/10.1007/s00033-023-02126-2","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135241003","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
Sign-changing solutions to critical Schrödinger equation with Hartree-type nonlinearity 具有hartree型非线性的临界Schrödinger方程的变符号解
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-11-09 DOI: 10.1007/s00033-023-02133-3
Cui Zhang, Fuyi Li
{"title":"Sign-changing solutions to critical Schrödinger equation with Hartree-type nonlinearity","authors":"Cui Zhang, Fuyi Li","doi":"10.1007/s00033-023-02133-3","DOIUrl":"https://doi.org/10.1007/s00033-023-02133-3","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135241708","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
Poisson structure and action–angle variables for the Hirota equation Hirota方程的泊松结构和作用角变量
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-11-06 DOI: 10.1007/s00033-023-02129-z
Yu Zhang, Shou-Fu Tian
{"title":"Poisson structure and action–angle variables for the Hirota equation","authors":"Yu Zhang, Shou-Fu Tian","doi":"10.1007/s00033-023-02129-z","DOIUrl":"https://doi.org/10.1007/s00033-023-02129-z","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135635333","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 solutions near homogeneous steady states in a fully cross-diffusive predator–prey system with density-dependent motion 具有密度依赖运动的完全交叉扩散捕食-食饵系统齐次稳态附近的全局解
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-11-06 DOI: 10.1007/s00033-023-02127-1
Zhoumeng Xie, Yuxiang Li
{"title":"Global solutions near homogeneous steady states in a fully cross-diffusive predator–prey system with density-dependent motion","authors":"Zhoumeng Xie, Yuxiang Li","doi":"10.1007/s00033-023-02127-1","DOIUrl":"https://doi.org/10.1007/s00033-023-02127-1","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135635947","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 simple flattening lower bound for solutions to some linear integro-differential equations 一类线性积分微分方程解的简单平坦化下界
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-28 DOI: 10.1007/s00033-023-02118-2
Emeric Bouin, Jérôme Coville, Guillaume Legendre
{"title":"A simple flattening lower bound for solutions to some linear integro-differential equations","authors":"Emeric Bouin, Jérôme Coville, Guillaume Legendre","doi":"10.1007/s00033-023-02118-2","DOIUrl":"https://doi.org/10.1007/s00033-023-02118-2","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136158975","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
Well-posedness of strong solutions for the Vlasov equation coupled to non-Newtonian fluids in dimension three 三维非牛顿流体耦合Vlasov方程强解的适定性
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-27 DOI: 10.1007/s00033-023-02130-6
Kyungkeun Kang, Hwa Kil Kim, Jae Myoung Kim
{"title":"Well-posedness of strong solutions for the Vlasov equation coupled to non-Newtonian fluids in dimension three","authors":"Kyungkeun Kang, Hwa Kil Kim, Jae Myoung Kim","doi":"10.1007/s00033-023-02130-6","DOIUrl":"https://doi.org/10.1007/s00033-023-02130-6","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136233435","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
Existence and asymptotic behavior of solutions for Kirchhoff equations with general Choquard-type nonlinearities 具有一般choquard型非线性的Kirchhoff方程解的存在性和渐近性
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-26 DOI: 10.1007/s00033-023-02123-5
Dengfeng Lü, Shu-Wei Dai
{"title":"Existence and asymptotic behavior of solutions for Kirchhoff equations with general Choquard-type nonlinearities","authors":"Dengfeng Lü, Shu-Wei Dai","doi":"10.1007/s00033-023-02123-5","DOIUrl":"https://doi.org/10.1007/s00033-023-02123-5","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136382257","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
Dirac cones of guided waves in isotropic functionally graded plates: the Wiechert case 各向同性功能梯度板中导波的狄拉克锥:Wiechert情况
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-24 DOI: 10.1007/s00033-023-02107-5
S. V. Kuznetsov
{"title":"Dirac cones of guided waves in isotropic functionally graded plates: the Wiechert case","authors":"S. V. Kuznetsov","doi":"10.1007/s00033-023-02107-5","DOIUrl":"https://doi.org/10.1007/s00033-023-02107-5","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135315429","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 time-periodic competition model with nonlocal dispersal and bistable nonlinearity: propagation dynamics and stability 非局部扩散双稳非线性的时间周期竞争模型:传播动力学与稳定性
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-24 DOI: 10.1007/s00033-023-02124-4
Manjun Ma, Wentao Meng, Chunhua Ou
{"title":"A time-periodic competition model with nonlocal dispersal and bistable nonlinearity: propagation dynamics and stability","authors":"Manjun Ma, Wentao Meng, Chunhua Ou","doi":"10.1007/s00033-023-02124-4","DOIUrl":"https://doi.org/10.1007/s00033-023-02124-4","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135266804","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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