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On Global and Decay Solution of Viscous Compressible MHD Equations 关于粘性可压缩 MHD 方程的全局和衰减解法
IF 2.6 2区 数学
Studies in Applied Mathematics Pub Date : 2024-12-12 DOI: 10.1111/sapm.12794
Rachid Benabidallah, François Ebobisse, Mohamed Azouz
{"title":"On Global and Decay Solution of Viscous Compressible MHD Equations","authors":"Rachid Benabidallah,&nbsp;François Ebobisse,&nbsp;Mohamed Azouz","doi":"10.1111/sapm.12794","DOIUrl":"https://doi.org/10.1111/sapm.12794","url":null,"abstract":"<p>We consider in an infinite horizontal layer, the equations of the viscous compressible magnetohydrodynamic flows subject to the gravitational force. On the upper and lower planes of the layer, we consider homogeneous Dirichlet conditions on the velocity while a large constant vector field is prescribed on the magnetic field. The existence of the global strong solution with small initial data and its asymptotic behavior as time goes to infinity are established.</p>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.12794","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142860887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability Analysis of Nondifferentiable Systems 不可微系统的稳定性分析
IF 2.6 2区 数学
Studies in Applied Mathematics Pub Date : 2024-12-11 DOI: 10.1111/sapm.12801
Jiwoon Sim, Tianxu Wang, Hao Wang
{"title":"Stability Analysis of Nondifferentiable Systems","authors":"Jiwoon Sim,&nbsp;Tianxu Wang,&nbsp;Hao Wang","doi":"10.1111/sapm.12801","DOIUrl":"https://doi.org/10.1111/sapm.12801","url":null,"abstract":"<p>Differential equations with right-hand side functions that are not everywhere differentiable are referred to as nondifferentiable systems. This paper introduces three novel methods to address stability issues in nondifferentiable systems. The first method extends the linearization method as it fails when the equilibrium is in a nondifferentiable region. We find that the stability of a piecewise differentiable system aligns with the behavior of its subsystems as long as the “distance” between these subsystems is sufficiently small. The second method is to examine the eigenvalues of the symmetric part of the Jacobian matrix in the vicinity of the equilibrium. This method applies to functions with even weaker regularity conditions, and does not require the eigenvalues to have a negative upper bound (or positive lower bound) over the domain. The third method establishes a connection between nondifferentiable systems and their approximate counterparts, revealing that their stability can be consistent under certain conditions. Additionally, we reaffirm the first two results via the approximation method. Examples are provided to illustrate the applications of our main results, including piecewise differentiable systems, general nondifferentiable systems, and realistic scenarios.</p>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.12801","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142860816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Numerical and Bi-directional Study of the Blackstock and Diaz–Solovchuk–Sheu Models for Approximating the Euler System 近似欧拉系统的Blackstock和Diaz-Solovchuk-Sheu模型的数值和双向研究
IF 2.6 2区 数学
Studies in Applied Mathematics Pub Date : 2024-12-10 DOI: 10.1111/sapm.12802
Anzhelika Vasilyeva, James V. Lambers
{"title":"A Numerical and Bi-directional Study of the Blackstock and Diaz–Solovchuk–Sheu Models for Approximating the Euler System","authors":"Anzhelika Vasilyeva,&nbsp;James V. Lambers","doi":"10.1111/sapm.12802","DOIUrl":"https://doi.org/10.1111/sapm.12802","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper is a revisitation of a prior analytical and numerical study of two competing finite-amplitude models of one-dimensional acoustic propagation in perfect gases, due to Blackstock and Diaz et al., through comparison with the Euler system specialized to this case. In this study, we consider alternative time-stepping approaches, to validate the findings of the prior numerical study, and refined numerical boundary conditions. We also investigate whether the approximate models can be described as nearly equivalent to the Euler system with modified parameters, and the behavior of reflected waves produced by all three models.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142860976","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Numerical Approaches in Nonlinear Fourier Transform-Based Signal Processing for Telecommunications 基于非线性傅立叶变换的电信信号处理的数值方法
IF 2.6 2区 数学
Studies in Applied Mathematics Pub Date : 2024-12-06 DOI: 10.1111/sapm.12795
Egor Sedov, Igor Chekhovskoy, Mikhail Fedoruk, Sergey Turitsyn
{"title":"Numerical Approaches in Nonlinear Fourier Transform-Based Signal Processing for Telecommunications","authors":"Egor Sedov,&nbsp;Igor Chekhovskoy,&nbsp;Mikhail Fedoruk,&nbsp;Sergey Turitsyn","doi":"10.1111/sapm.12795","DOIUrl":"https://doi.org/10.1111/sapm.12795","url":null,"abstract":"<p>We discuss applications of the inverse scattering transform, also known as the nonlinear Fourier transform (NFT) in telecommunications, both for nonlinear optical fiber communication channel equalization and time-domain signal processing techniques. Our main focus is on the challenges and recent progress in the development of efficient numerical algorithms and approaches to NFT implementation.</p>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.12795","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142860195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Invariant Manifolds in a Class-Structured Model From Adaptive Dynamics 自适应动力学类结构模型中的不变量流形
IF 2.6 2区 数学
Studies in Applied Mathematics Pub Date : 2024-11-29 DOI: 10.1111/sapm.12797
Nikola Popović
{"title":"Invariant Manifolds in a Class-Structured Model From Adaptive Dynamics","authors":"Nikola Popović","doi":"10.1111/sapm.12797","DOIUrl":"https://doi.org/10.1111/sapm.12797","url":null,"abstract":"<p>We consider a family of structured population models from adaptive dynamics in which cells transition through a number of growth states, or classes, before division. We prove the existence and global asymptotic stability of invariant (‘resident') manifolds in that family; furthermore, we re-derive conditions under which scarce mutants can invade established resident populations, and we show the existence of corresponding ‘invasion’ manifolds that are obtained as critical manifolds under the additional assumption that resident has attained quasi-steady state, which induces a separation of scales. Our analysis is based on standard phase space techniques for ordinary differential equations, in combination with the geometric singular perturbation theory due to Fenichel.</p>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.12797","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142749275","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Thermal Convection in a Linearly Viscous Fluid Overlying a Bidisperse Porous Medium 双分散多孔介质上线性粘性流体的热对流
IF 2.6 2区 数学
Studies in Applied Mathematics Pub Date : 2024-11-29 DOI: 10.1111/sapm.12799
P. Dondl, B. Straughan
{"title":"Thermal Convection in a Linearly Viscous Fluid Overlying a Bidisperse Porous Medium","authors":"P. Dondl,&nbsp;B. Straughan","doi":"10.1111/sapm.12799","DOIUrl":"https://doi.org/10.1111/sapm.12799","url":null,"abstract":"<p>A bidisperse porous medium is one with two porosity scales. There are the usual pores known as macropores but also cracks or fissures in the skeleton which give rise to micropores. In this article, we develop and analyze a model for thermal convection where a layer of viscous incompressible fluid overlies a layer of bidisperse porous medium. Care has to be taken with the boundary conditions at the interface of the fluid and the porous material, and this aspect is investigated. We propose two Beavers–Joseph conditions at the interface and we argue that the parameters in these relations should be different since they depend on the macro or micro permeability, and these parameters are estimated from the original experiments of Beavers and Joseph. The situation is one in a layer which is heated from below and under appropriate conditions bimodal neutral curves are found. These can depend on the relative permeability between the macro and micropores, the Beavers–Joseph conditions appropriate to the macro or micropores, the ratio <span></span><math>\u0000 <semantics>\u0000 <mover>\u0000 <mi>d</mi>\u0000 <mo>̂</mo>\u0000 </mover>\u0000 <annotation>${hat{d}}$</annotation>\u0000 </semantics></math> of the depth <span></span><math>\u0000 <semantics>\u0000 <mi>d</mi>\u0000 <annotation>$d$</annotation>\u0000 </semantics></math> of the fluid layer to the depth <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>d</mi>\u0000 <mi>m</mi>\u0000 </msub>\u0000 <annotation>$d_m$</annotation>\u0000 </semantics></math> of the porous layer, or generally the nature of the bidisperse medium.</p>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.12799","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142749274","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics for a Diffusive Epidemic Model With a Free Boundary: Spreading Speed 具有自由边界的扩散性流行病模型的动力学：传播速度
IF 2.6 2区 数学
Studies in Applied Mathematics Pub Date : 2024-11-27 DOI: 10.1111/sapm.12796
Xueping Li, Lei Li, Mingxin Wang
{"title":"Dynamics for a Diffusive Epidemic Model With a Free Boundary: Spreading Speed","authors":"Xueping Li,&nbsp;Lei Li,&nbsp;Mingxin Wang","doi":"10.1111/sapm.12796","DOIUrl":"https://doi.org/10.1111/sapm.12796","url":null,"abstract":"<div>\u0000 \u0000 <p>We study the spreading speed of a diffusive epidemic model proposed by Li et al. [Dynamics for a diffusive epidemic model with a free boundary: spreading-vanishing dichotomy, Zeitschrift für Angewandte Mathematik und Physik 75 (2024): Article No. 202], where the Stefan boundary condition is imposed at the right boundary, and the left boundary is subject to the homogeneous Dirichlet and Neumann condition, respectively. A spreading-vanishing dichotomy and some sharp criteria were obtained in Li et al. In this paper, when spreading happens, we not only obtain the exact spreading speed of the spreading front described by the right boundary, but derive some sharp estimates on the asymptotical behavior of solution component <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>u</mi>\u0000 <mo>,</mo>\u0000 <mi>v</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$(u,v)$</annotation>\u0000 </semantics></math>. Our arguments depend crucially on some detailed understandings for a corresponding semi-wave problem and a steady-state problem.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714673","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 the Equations of Compressible Fluid Dynamics With Cattaneo-Type Extensions for the Heat Flux: Symmetrizability and Relaxation Structure 关于热通量的卡塔尼奥式扩展的可压缩流体力学方程：对称性和松弛结构
IF 2.6 2区 数学
Studies in Applied Mathematics Pub Date : 2024-11-27 DOI: 10.1111/sapm.12790
Felipe Angeles
{"title":"On the Equations of Compressible Fluid Dynamics With Cattaneo-Type Extensions for the Heat Flux: Symmetrizability and Relaxation Structure","authors":"Felipe Angeles","doi":"10.1111/sapm.12790","DOIUrl":"https://doi.org/10.1111/sapm.12790","url":null,"abstract":"<div>\u0000 \u0000 <p>The aim of this work is twofold. From a mathematical point of view, we show the existence of a hyperbolic system of equations that is not symmetrizable in the sense of Friedrichs. Such system appears in the theory of compressible fluid dynamics with Cattaneo-type extensions for the heat flux. In contrast, the linearizations of such system around constant equilibrium solutions have Friedrichs symmetrizers. Then, from a physical perspective, we aim to understand the relaxation term appearing in this system. By noticing the violation of the Kawashima–Shizuta condition, locally and smoothly, with respect to the Fourier frequencies, we construct persistent waves, that is, solutions preserving the <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>L</mi>\u0000 <mn>2</mn>\u0000 </msup>\u0000 <annotation>$L^{2}$</annotation>\u0000 </semantics></math> norm for all times that are not dissipated by the relaxation terms.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142724193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction 以热传导引起的耗散为重点的可压缩流拉格朗日模型
IF 2.6 2区 数学
Studies in Applied Mathematics Pub Date : 2024-11-27 DOI: 10.1111/sapm.12791
M. Scholle, S. Ismail-Sutton, P. H. Gaskell
{"title":"A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction","authors":"M. Scholle,&nbsp;S. Ismail-Sutton,&nbsp;P. H. Gaskell","doi":"10.1111/sapm.12791","DOIUrl":"https://doi.org/10.1111/sapm.12791","url":null,"abstract":"<p>With the aim of describing compressible viscous flows by means of a variational principle that takes into account heat conduction, a recently proposed Lagrangian is subjected to a detailed linear wave analysis that stems directly from the Lagrangian. The accompanying thermodynamic equation of state employed leads to a natural decomposition of the conduction term into three contributions, with the importance of each accessed through a detailed analysis employing a recently developed perturbation methodology giving rise to a favorable system of governing Jacobi equations. In addition to the model Lagrangian itself, three potential model scenarios—based on different combinations of the contributions forming the Lagrangian—are rigorously evaluated and appraised, regarding the occurrence, or otherwise, of dissipation recognizable by an attenuation of harmonic waves. Results reveal that two of the four models are suitable candidates, and suggest one in particular.</p>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.12791","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics of a Nonlocal Dispersal Population Model With Annually Synchronized Emergence of Adults 成体每年同步出现的非本地散布种群模型的动态变化
IF 2.6 2区 数学
Studies in Applied Mathematics Pub Date : 2024-11-27 DOI: 10.1111/sapm.12798
Zhenzhen Li, Binxiang Dai, Xingfu Zou
{"title":"Dynamics of a Nonlocal Dispersal Population Model With Annually Synchronized Emergence of Adults","authors":"Zhenzhen Li,&nbsp;Binxiang Dai,&nbsp;Xingfu Zou","doi":"10.1111/sapm.12798","DOIUrl":"https://doi.org/10.1111/sapm.12798","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper is devoted to studying the spatial dynamics of a nonlocal dispersal species model with annually synchronized emergence of adults. In the situation of a bounded domain, we show threshold dynamics of the adult population, and provide exact persistence criterion. In the situation of a spatially homogeneous unbounded domain, we obtain the existence and computation formula of spreading speeds, which coincide with the minimal wave speed for the traveling waves. The above results are obtained in both monotone and nonmonotone cases of maturation impulse function. Numerical simulations are carried out to demonstrate the theoretical results.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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