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Zeitschrift für angewandte Mathematik und Physik最新文献

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Solution for nonvariational fractional elliptic system with concave and convex nonlinearities 具有凹凸非线性的非变量分数椭圆系统的解法
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-07-02 DOI: 10.1007/s00033-024-02269-w
Gelson C. G. dos Santos, Aldo H. S. Medeiros, Tarcyana S. Figueiredo Sousa
{"title":"Solution for nonvariational fractional elliptic system with concave and convex nonlinearities","authors":"Gelson C. G. dos Santos, Aldo H. S. Medeiros, Tarcyana S. Figueiredo Sousa","doi":"10.1007/s00033-024-02269-w","DOIUrl":"https://doi.org/10.1007/s00033-024-02269-w","url":null,"abstract":"<p>In this paper, we obtain the existence of a positive solution for a class of nonvariational fractional elliptic system with concave and convex nonlinearities in two cases. The paper is divided in two parts: In the first one, for general nonlinearity with subcritical or critical growth, we use Galerkin’s method and an approximation argument to show the existence of a solution for the system considered. In the second part, for special cases (which include the power case), we remove the restriction on the growth of the nonlinearity and use sub-supersolution, monotone iteration and a comparison argument to obtain a solution for the system considered.\u0000</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515510","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
Ulam–Hyers stability of Caputo–Hadamard fractional stochastic differential equations with time-delays and impulses 带有时间延迟和脉冲的 Caputo-Hadamard 分数随机微分方程的 Ulam-Hyers 稳定性
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-07-02 DOI: 10.1007/s00033-024-02274-z
Pusen Tang, Lin Chen, Dongdong Gao
{"title":"Ulam–Hyers stability of Caputo–Hadamard fractional stochastic differential equations with time-delays and impulses","authors":"Pusen Tang, Lin Chen, Dongdong Gao","doi":"10.1007/s00033-024-02274-z","DOIUrl":"https://doi.org/10.1007/s00033-024-02274-z","url":null,"abstract":"<p>In this article, a class of Caputo–Hadamard fractional stochastic differential equation (FSDEs) with time-delays and impulses is considered. With the help of contraction mapping principle, we derive the existence and uniqueness of the solutions to the purposed system. Subsequently, by virtue of the stochastic analysis techniques and generalized Gr<span>(ddot{o})</span>nwall inequality, the Ulam–Hyers stability (U–Hs) of the addressed system is established. Finally, we present an example to illustrate the theoretical results.\u0000</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"87 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502811","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
Stability of solitary wave solutions in the Lugiato–Lefever equation 卢嘉图-勒弗尔方程中孤波解的稳定性
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-06-27 DOI: 10.1007/s00033-024-02273-0
Lukas Bengel
{"title":"Stability of solitary wave solutions in the Lugiato–Lefever equation","authors":"Lukas Bengel","doi":"10.1007/s00033-024-02273-0","DOIUrl":"https://doi.org/10.1007/s00033-024-02273-0","url":null,"abstract":"<p>We analyze the spectral and dynamical stability of solitary wave solutions to the Lugiato–Lefever equation on <span>(mathbb {R})</span>. Our interest lies in solutions that arise through bifurcations from the phase-shifted bright soliton of the nonlinear Schrödinger equation. These solutions are highly nonlinear, localized, far-from-equilibrium waves, and are the physical relevant solutions to model Kerr frequency combs. We show that bifurcating solitary waves are spectrally stable when the phase angle satisfies <span>(theta in (0,pi ))</span>, while unstable waves are found for angles <span>(theta in (pi ,2pi ))</span>. Furthermore, we establish asymptotic orbital stability of spectrally stable solitary waves against localized perturbations. Our analysis exploits the Lyapunov–Schmidt reduction method, the instability index count developed for linear Hamiltonian systems, and resolvent estimates.</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502813","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
Nonlocal numerical simulation of thermoelectric coupling field by using peridynamic differential operator 利用周动态微分算子对热电耦合场进行非局部数值模拟
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-06-27 DOI: 10.1007/s00033-024-02283-y
Hongji Zhu, Jia Yu, Qingshan Zhu, Yang Li
{"title":"Nonlocal numerical simulation of thermoelectric coupling field by using peridynamic differential operator","authors":"Hongji Zhu, Jia Yu, Qingshan Zhu, Yang Li","doi":"10.1007/s00033-024-02283-y","DOIUrl":"https://doi.org/10.1007/s00033-024-02283-y","url":null,"abstract":"<p>This study developed a novel nonlocal numerical model based on the peridynamic differential operator to analyze the thermoelectric coupling field. The thermoelectric coupling equations and boundary conditions are transformed from the classical partial differential form to the nonlocal integral form. By introducing the peridynamic function, a one-dimensional nonlocal model is established. This model can accurately capture the spatial distributions of the temperature field and material parameters when considering temperature-dependent thermoelectric material parameters. The numerical solutions from this nonlocal peridynamic model were found to agree well with those from the homotopy analysis method. Using this model, the influence of temperature boundary conditions and structure length on output performance is studied. The intrinsic relationship between the material parameters and the output properties within the structure is revealed. This presented nonlocal model provides an accurate mathematical tool to solve the thermoelectric coupling field for thermoelectric structures performance analysis.</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"97 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515511","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
Multi-bump solutions to Kirchhoff type equations with exponential critical growth in $$mathbb {R}^2$$ 在 $$mathbb {R}^2$ 中具有指数临界增长的基尔霍夫型方程的多凸块解决方案
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-06-27 DOI: 10.1007/s00033-024-02282-z
Jian Zhang, Xinyi Zhang
{"title":"Multi-bump solutions to Kirchhoff type equations with exponential critical growth in $$mathbb {R}^2$$","authors":"Jian Zhang, Xinyi Zhang","doi":"10.1007/s00033-024-02282-z","DOIUrl":"https://doi.org/10.1007/s00033-024-02282-z","url":null,"abstract":"<p>In this paper, we study multi-bump solutions of the following Kirchhoff type equation: </p><span>$$begin{aligned} -Mleft( ,,int limits _{mathbb {R}^2}|nabla u|^2 textrm{d} xright) Delta u +left( mu V(x)+h(x)right) u =lambda f(u) textrm{in} mathbb {R}^2, end{aligned}$$</span><p>where <i>M</i> is continuous with <span>(inf _{mathbb {R}^+}M&gt;0)</span>, <span>(V ge 0)</span> and its zero set has several disjoint bounded components, <span>(mu )</span>, <span>(lambda )</span> are positive parameters, <i>f</i> has exponential critical growth. When <i>V</i> decays to zero at infinity, we use variational methods to obtain the existence and concentration behavior of multi-bump solutions.</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502812","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
Correction to: On the two-dimensional Boussinesq equations with temperature-dependent thermal and viscosity diffusions in general Sobolev spaces 更正：关于一般索波列夫空间中温度相关热扩散和粘度扩散的二维布森斯克方程
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-06-24 DOI: 10.1007/s00033-024-02229-4
Zihui He, Xian Liao
{"title":"Correction to: On the two-dimensional Boussinesq equations with temperature-dependent thermal and viscosity diffusions in general Sobolev spaces","authors":"Zihui He, Xian Liao","doi":"10.1007/s00033-024-02229-4","DOIUrl":"https://doi.org/10.1007/s00033-024-02229-4","url":null,"abstract":"","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"36 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515513","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
A nonlocal reaction–diffusion–advection model with free boundaries 具有自由边界的非局部反应-扩散-平流模型
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-06-23 DOI: 10.1007/s00033-024-02272-1
Yaobin Tang, Binxiang Dai
{"title":"A nonlocal reaction–diffusion–advection model with free boundaries","authors":"Yaobin Tang, Binxiang Dai","doi":"10.1007/s00033-024-02272-1","DOIUrl":"https://doi.org/10.1007/s00033-024-02272-1","url":null,"abstract":"<p>A nonlocal diffusion single population model with advection and free boundaries is considered. Our aim is to discuss how the advection rate affects dynamic behaviors of species under the case of small advection. Firstly, the well-posed global solution is obtained. Secondly, we apply the eigenvalue problem of integro-differential operator to obtain the dichotomy and sharp criteria for spreading and vanishing, which is determined by initial habitat and initial density. Further, the asymptotic spreading speed of species is estimated when spreading happens. Namely, we get the exact asymptotic spreading speed and find that if kernel function satisfies the certain condition, then the leftward asymptotic spreading speed is less than the rightward one due to the impact of advection rate. Meanwhile, we also observe that accelerated spreading happens if the certain condition does not be satisfied.</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"80 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502814","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
Blow-up prevention by sub-logistic sources in 2D Keller–Segel chemotaxis systems with superlinear signal production 在具有超线性信号产生的二维凯勒-西格尔趋化系统中通过亚逻辑源防止炸裂
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-06-23 DOI: 10.1007/s00033-024-02270-3
Minh Le
{"title":"Blow-up prevention by sub-logistic sources in 2D Keller–Segel chemotaxis systems with superlinear signal production","authors":"Minh Le","doi":"10.1007/s00033-024-02270-3","DOIUrl":"https://doi.org/10.1007/s00033-024-02270-3","url":null,"abstract":"<p>This paper focuses on studying blow-up prevention by sub-logistic sources in 2D Keller–Segel chemotaxis systems with superlinear signal production. An application of a result on parabolic gradient regularity for parabolic equations in Orlicz spaces shows that the presence of sub-logistic sources is indeed sufficiently strong to ensure the global existence and boundedness of solutions. Our proof also relies on several techniques, including parabolic regularity in Sobolev spaces, variational arguments, interpolation inequalities in Sobolev spaces, and Moser iteration method.\u0000</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"224 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141515512","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
Approximate solutions to the nonlinear hyperbolic population balance equation: convergence, error estimate and numerical simulations 非线性双曲人口平衡方程的近似解：收敛、误差估计和数值模拟
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-06-15 DOI: 10.1007/s00033-024-02264-1
Arijit Das, Jitraj Saha
{"title":"Approximate solutions to the nonlinear hyperbolic population balance equation: convergence, error estimate and numerical simulations","authors":"Arijit Das, Jitraj Saha","doi":"10.1007/s00033-024-02264-1","DOIUrl":"https://doi.org/10.1007/s00033-024-02264-1","url":null,"abstract":"","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"91 22","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141337712","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
Optimization of an architected composite with tailored graded properties 优化具有定制分级特性的建筑复合材料
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-06-15 DOI: 10.1007/s00033-024-02255-2
A. Casalotti, Francesco D’Annibale, Giuseppe Rosi
{"title":"Optimization of an architected composite with tailored graded properties","authors":"A. Casalotti, Francesco D’Annibale, Giuseppe Rosi","doi":"10.1007/s00033-024-02255-2","DOIUrl":"https://doi.org/10.1007/s00033-024-02255-2","url":null,"abstract":"","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"6 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141337387","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
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