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Zeitschrift fur Angewandte Mathematik und Physik最新文献

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Shooting for collinear periodic orbits in the Helium model 在氦模型中寻找共线周期轨道
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-17 DOI: 10.1007/s00033-023-02120-8
Lei Zhao
{"title":"Shooting for collinear periodic orbits in the Helium model","authors":"Lei Zhao","doi":"10.1007/s00033-023-02120-8","DOIUrl":"https://doi.org/10.1007/s00033-023-02120-8","url":null,"abstract":"Abstract The frozen-planet periodic orbit of the classical collinear Helium model with negative energy is shown to exist by a simple shooting argument. This simplifies the approach established in Cieliebak et al. (Ann Inst H Poincaré Anal Non Linéaire 40:379–455, 2022). With this argument, it also follows that the algebraic count of the number of such orbits with a given negative energy is 1, as recently established in Cieliebak et al. (Nondegeneracy and integral count of frozen-planet orbits in helium, 2022. arXiv:2209.12634 ). The same argument also leads to the existence of other collinear periodic orbits of the classical collinear Helium model.","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135994550","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
Multiplicity of solutions for Brezis–Oswald-type problems with indefinite Kirchhoff operators 具有不定Kirchhoff算子的brezis - oswald型问题解的多重性
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-17 DOI: 10.1007/s00033-023-02122-6
Kaye Silva, Steffânio Moreno de Sousa, Carlos Alberto Santos, Minbo Yang
{"title":"Multiplicity of solutions for Brezis–Oswald-type problems with indefinite Kirchhoff operators","authors":"Kaye Silva, Steffânio Moreno de Sousa, Carlos Alberto Santos, Minbo Yang","doi":"10.1007/s00033-023-02122-6","DOIUrl":"https://doi.org/10.1007/s00033-023-02122-6","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135994226","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
Finite-time blow-up of solution for a chemotaxis model with singular sensitivity and logistic source 具有奇异灵敏度和logistic源的趋化性模型解的有限时间爆破
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-17 DOI: 10.1007/s00033-023-02125-3
Jing Zhang, Chunlai Mu, Xinyu Tu
{"title":"Finite-time blow-up of solution for a chemotaxis model with singular sensitivity and logistic source","authors":"Jing Zhang, Chunlai Mu, Xinyu Tu","doi":"10.1007/s00033-023-02125-3","DOIUrl":"https://doi.org/10.1007/s00033-023-02125-3","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135994065","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 and large time behavior for Cahn–Hilliard–Oono equation Cahn-Hilliard-Oono方程的适定性和大时性
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-16 DOI: 10.1007/s00033-023-02119-1
Ning Duan, Jing Wang, Xiaopeng Zhao
{"title":"Well-posedness and large time behavior for Cahn–Hilliard–Oono equation","authors":"Ning Duan, Jing Wang, Xiaopeng Zhao","doi":"10.1007/s00033-023-02119-1","DOIUrl":"https://doi.org/10.1007/s00033-023-02119-1","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136079843","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 nonlinear perturbations of a periodic integrodifferential Kirchhoff equation with critical exponential growth 具有临界指数增长的周期积分微分Kirchhoff方程的非线性摄动
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-16 DOI: 10.1007/s00033-023-02117-3
Eudes Barboza, Yane Araújo, Gilson de Carvalho
{"title":"On nonlinear perturbations of a periodic integrodifferential Kirchhoff equation with critical exponential growth","authors":"Eudes Barboza, Yane Araújo, Gilson de Carvalho","doi":"10.1007/s00033-023-02117-3","DOIUrl":"https://doi.org/10.1007/s00033-023-02117-3","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136079468","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 vanishing pressure limits of Riemann solutions to the isothermal two-phase flow model under the external force 等温两相流模型在外力作用下Riemann解的消失压力极限
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-14 DOI: 10.1007/s00033-023-02115-5
Meina Sun, Zhijian Wei
{"title":"The vanishing pressure limits of Riemann solutions to the isothermal two-phase flow model under the external force","authors":"Meina Sun, Zhijian Wei","doi":"10.1007/s00033-023-02115-5","DOIUrl":"https://doi.org/10.1007/s00033-023-02115-5","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135800299","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 robust way to justify the derivative NLS approximation 一种证明导数NLS近似的鲁棒方法
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-14 DOI: 10.1007/s00033-023-02121-7
Max Heß, Guido Schneider
{"title":"A robust way to justify the derivative NLS approximation","authors":"Max Heß, Guido Schneider","doi":"10.1007/s00033-023-02121-7","DOIUrl":"https://doi.org/10.1007/s00033-023-02121-7","url":null,"abstract":"Abstract The derivative nonlinear Schrödinger (DNLS) equation can be derived as an amplitude equation via multiple scaling perturbation analysis for the description of the slowly varying envelope of an underlying oscillating and traveling wave packet in dispersive wave systems. It appears in the degenerated situation when the cubic coefficient of the similarly derived NLS equation vanishes. It is the purpose of this paper to prove that the DNLS approximation makes correct predictions about the dynamics of the original system under rather weak assumptions on the original dispersive wave system if we assume that the initial conditions of the DNLS equation are analytic in a strip of the complex plane. The method is presented for a Klein–Gordon model with a cubic nonlinearity.","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135800947","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
Global boundedness of weak solutions to a chemotaxis–haptotaxis model with p-Laplacian diffusion 一类p- laplace扩散趋化-趋合模型弱解的全局有界性
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-14 DOI: 10.1007/s00033-023-02113-7
Jinhuan Wang, Haomeng Chen, Mengdi Zhuang
{"title":"Global boundedness of weak solutions to a chemotaxis–haptotaxis model with p-Laplacian diffusion","authors":"Jinhuan Wang, Haomeng Chen, Mengdi Zhuang","doi":"10.1007/s00033-023-02113-7","DOIUrl":"https://doi.org/10.1007/s00033-023-02113-7","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135800514","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
An existence theorem for a class of wrinkling models for highly stretched elastic sheets 一类高拉伸弹性薄板起皱模型的存在性定理
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-14 DOI: 10.1007/s00033-023-02111-9
Timothy J. Healey
{"title":"An existence theorem for a class of wrinkling models for highly stretched elastic sheets","authors":"Timothy J. Healey","doi":"10.1007/s00033-023-02111-9","DOIUrl":"https://doi.org/10.1007/s00033-023-02111-9","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135801429","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 boundedness and large time behavior in a chemotaxis system with indirect signal consumption 具有间接信号消耗的趋化系统的全局有界性和大时间行为
3区 数学
Zeitschrift fur Angewandte Mathematik und Physik Pub Date : 2023-10-14 DOI: 10.1007/s00033-023-02093-8
Quanyong Zhao, Zhongping Li
{"title":"Global boundedness and large time behavior in a chemotaxis system with indirect signal consumption","authors":"Quanyong Zhao, Zhongping Li","doi":"10.1007/s00033-023-02093-8","DOIUrl":"https://doi.org/10.1007/s00033-023-02093-8","url":null,"abstract":"","PeriodicalId":54401,"journal":{"name":"Zeitschrift fur Angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135803344","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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