Zeitschrift für angewandte Mathematik und Physik最新文献_第9页

Riemann problem for longitudinal–torsional waves in nonlinear elastic rods 非线性弹性杆中纵向扭转波的黎曼问题

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-05-07 DOI: 10.1007/s00033-024-02243-6

A. P. Chugainova

引用次数: 0

Boundedness of classical solutions to a chemotaxis consumption model with signal-dependent motility 具有信号依赖性的趋化消耗模型经典解的有界性

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-05-07 DOI: 10.1007/s00033-024-02253-4

Khadijeh Baghaei, Ali Khelghati

{"title":"Boundedness of classical solutions to a chemotaxis consumption model with signal-dependent motility","authors":"Khadijeh Baghaei, Ali Khelghati","doi":"10.1007/s00033-024-02253-4","DOIUrl":"https://doi.org/10.1007/s00033-024-02253-4","url":null,"abstract":"This paper deals with the following chemotaxis system: $$begin{aligned} left{ begin{array}{ll} u_{t}=nabla cdot big (gamma (v) nabla u-u ,xi (v) nabla vbig )+mu , u,(1-u), &{} xin Omega , t>0, v_{t}=Delta v-uv, &{} xin Omega , t>0, end{array} right. end{aligned}$$under homogeneous Neumann boundary conditions in a bounded domain ( Omega subset {mathbb {R}}^{n}, nge 2,) with smooth boundary. Here, the positive function (gamma in C ^{2}([0, +infty )) ) satisfies (gamma '(s)<0) and ( gamma ''(s)ge 0) for all (sge 0,) also (xi (s)= -(1-alpha ),gamma '(s) ) with (alpha in (0, 1)). For the above system, we prove that the corresponding initial boundary value problem admits a unique global classical solution which is uniformly in time bounded. This result is obtained for small initial data without any restriction on (mu .) The obtained result improves a recent result by Li and Lu (J Math Anal Appl 521:126902, 2023), which asserts the global existence of bounded classical solutions, provided that ( frac{(gamma '(s))^{2}}{gamma ''(s)} le frac{n}{2(n+1)^{3}}) and some conditions on initial data and (mu .) We should mention that in the special cases (gamma (s)=(1+s)^{-k},(k>0)) and (gamma (s)=textit{e}^{-chi s}, (chi >0),) the result in Li and Lu (2023) is obtained under conditions on k and (chi .) But, our result is without any restriction on k and (chi .)","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"2016 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140940344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Construction of infinitely many solutions for fractional Schrödinger equation with double potentials 构建具有双电势的分数薛定谔方程的无穷多个解

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-05-03 DOI: 10.1007/s00033-024-02240-9

Ting Liu

引用次数: 0

Existence and regularity of solutions for semilinear fractional Rayleigh–Stokes equations 半线性分数雷利-斯托克斯方程解的存在性和正则性

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-05-03 DOI: 10.1007/s00033-024-02251-6

Yiming Jiang, Jingchuang Ren, Yawei Wei

引用次数: 0

Threshold for existence, non-existence and multiplicity of positive solutions with prescribed mass for an NLS with a pure power nonlinearity in the exterior of a ball 球外部纯功率非线性 NLS 正解存在、不存在和具有规定质量的多重性阈值

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-05-03 DOI: 10.1007/s00033-024-02247-2

Linjie Song, Hichem Hajaiej

{"title":"Threshold for existence, non-existence and multiplicity of positive solutions with prescribed mass for an NLS with a pure power nonlinearity in the exterior of a ball","authors":"Linjie Song, Hichem Hajaiej","doi":"10.1007/s00033-024-02247-2","DOIUrl":"https://doi.org/10.1007/s00033-024-02247-2","url":null,"abstract":"We obtain threshold results for the existence, non-existence and multiplicity of normalized solutions for semi-linear elliptic equations in the exterior of a ball. To the best of our knowledge, it is the first result in the literature addressing this problem for the (L^2) supercritical case. In particular, we show that the prescribed mass can affect the number of normalized solutions and has a stabilizing effect in the mass supercritical case. Furthermore, in the threshold we find a new exponent (p = 6) when (N = 2), which does not seem to have played a role for this equation in the past. Moreover, our findings are “quite surprising” and completely different from the results obtained on the entire space and on balls. We will also show that the nature of the domain is crucial for the existence and stability of standing waves. As a foretaste, it is well-known that in the supercritical case these waves are unstable in (mathbb {R}^N.) In this paper, we will show that in the exterior domain they are strongly stable.","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140882178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Compressible Navier–Stokes equations without heat conduction in $$L^p$$ -framework 在 $$L^p$$ 框架内无热传导的可压缩 Navier-Stokes 方程

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-05-03 DOI: 10.1007/s00033-024-02250-7

Juanzi Cai, Zhigang Wu, Mengqian Liu

引用次数: 0

Global attractivity for reaction–diffusion equations with periodic coefficients and time delays 具有周期性系数和时间延迟的反应扩散方程的全局吸引力

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-30 DOI: 10.1007/s00033-024-02236-5

Alfonso Ruiz-Herrera, Tarik Mohammed Touaoula

引用次数: 0

Coupled linear Schrödinger equations: control and stabilization results 耦合线性薛定谔方程：控制和稳定结果

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-28 DOI: 10.1007/s00033-024-02242-7

K. Bhandari, R. de A. Capistrano-Filho, S. Majumdar, T. Y. Tanaka

引用次数: 0

Stochastic second-gradient continuum theory for particle-based materials: part II 颗粒材料的随机第二梯度连续理论：第二部分

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-26 DOI: 10.1007/s00033-024-02232-9

Gabriele La Valle, Christian Soize

引用次数: 0

Simple and high-order N-solitons of the nonlocal generalized Sasa–Satsuma equation via an improved Riemann–Hilbert method 通过改进的黎曼-希尔伯特方法研究非局部广义萨萨摩方程的简单和高阶 N-孑子

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-26 DOI: 10.1007/s00033-024-02235-6

Guixian Wang, Xiu-Bin Wang, Haie Long, Bo Han

{"title":"Simple and high-order N-solitons of the nonlocal generalized Sasa–Satsuma equation via an improved Riemann–Hilbert method","authors":"Guixian Wang, Xiu-Bin Wang, Haie Long, Bo Han","doi":"10.1007/s00033-024-02235-6","DOIUrl":"https://doi.org/10.1007/s00033-024-02235-6","url":null,"abstract":"In this paper, we investigate the nonlocal generalized Sasa–Satsuma (ngSS) equation based on an improved Riemann–Hilbert method (RHM). Different from the traditional RHM, the t-part of the Lax pair plays a more important role rather than the x-part in analyzing the spectral problems. So we start from the t-part of the spectral problems. In the process of dealing with the symmetry reductions, we are surprised to find that the computation is much less than the traditional RHM. We can more easily derive the compact expression of N-soliton solution of the ngSS equation under the reflectionless condition. In addition, the general high-order N-soliton solution of the ngSS equation is also deduced by means of the perturbed terms and limiting techniques. We not only demonstrate different cases for the dynamics of these solutions in detail in theory, but also exhibit the remarkable features of solitons and breathers graphically by demonstrating their 3D, projection profiles and wave propagations. Our results should be significant to understand the nonlocal nonlinear phenomena and provide a foundation for fostering more innovative research that advances the theory.\u0000","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"101 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140799149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0