Studies in Applied Mathematics最新文献

{"title":"Global Solvability for 3D Incompressible Inhomogeneous Micropolar System in Critical Spaces","authors":"Yelei Guo, Chenyin Qian, Ting Zhang, Xiaole Zheng","doi":"10.1111/sapm.70086","DOIUrl":"https://doi.org/10.1111/sapm.70086","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we investigate the 3D inhomogeneous incompressible micropolar system with the initial density <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>ρ</mi>\u0000 <mn>0</mn>\u0000 </msub>\u0000 <annotation>$rho _0$</annotation>\u0000 </semantics></math> being discontinuous and the initial velocity <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <msub>\u0000 <mi>u</mi>\u0000 <mn>0</mn>\u0000 </msub>\u0000 <mo>,</mo>\u0000 <msub>\u0000 <mi>ω</mi>\u0000 <mn>0</mn>\u0000 </msub>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$(u_0,omega _0)$</annotation>\u0000 </semantics></math> possessing critical regularity. Assuming that <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>ρ</mi>\u0000 <mn>0</mn>\u0000 </msub>\u0000 <annotation>$rho _0$</annotation>\u0000 </semantics></math> is close to a positive constant, we obtain the global existence and uniqueness of the solution if <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <msub>\u0000 <mi>u</mi>\u0000 <mn>0</mn>\u0000 </msub>\u0000 <mo>,</mo>\u0000 <msub>\u0000 <mi>ω</mi>\u0000 <mn>0</mn>\u0000 </msub>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$(u_0,omega _0)$</annotation>\u0000 </semantics></math> is small in <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msubsup>\u0000 <mover>\u0000 <mi>B</mi>\u0000 <mo>̇</mo>\u0000 </mover>\u0000 <mrow>\u0000 <mi>p</mi>\u0000 <mo>,</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 <mrow>\u0000 <mo>−</mo>\u0000 <mn>1</mn>\u0000 <mo>+</mo>\u0000 <mn>3</mn>\u0000 <mo>/</mo>\u0000 <mi>p</mi>\u0000 </mrow>\u0000 </msubsup>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <msup>\u0000 <mrow>\u0000 <mi>R</mi>\u0000 <mspace></mspace>\u0000 </mrow>\u0000 <mn>3</mn>\u0000 </msup>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mn>1</mn>\u0000 <mo><</mo>\u0000 <mi>p</mi>\u0000 <mo>&","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"155 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144705635","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}

{"title":"On Ocean Currents with Constant Vorticity: Explicit Solutions and an Application to the ACC","authors":"Anna Geyer,&nbsp;Ronald Quirchmayr","doi":"10.1111/sapm.70081","DOIUrl":"https://doi.org/10.1111/sapm.70081","url":null,"abstract":"<p>We study the three-dimensional, divergence-free, incompressible Euler equations in the <span></span><math>\u0000 <semantics>\u0000 <mi>f</mi>\u0000 <annotation>$f$</annotation>\u0000 </semantics></math>-plane approximation for off-equatorial oceanic flows of constant vorticity, where the fluid domain is bounded by a free surface and a flat bed. The major difference, compared to related earlier works, is that we refrain from any global restrictions on solutions with respect to the latitudinal coordinate <span></span><math>\u0000 <semantics>\u0000 <mi>y</mi>\u0000 <annotation>$y$</annotation>\u0000 </semantics></math>, which we justify by the <span></span><math>\u0000 <semantics>\u0000 <mi>f</mi>\u0000 <annotation>$f$</annotation>\u0000 </semantics></math>-plane approximation's locality. The resulting flows are necessarily steady (despite the time dependence of the governing equations), zonal, independent of the zonal coordinate <span></span><math>\u0000 <semantics>\u0000 <mi>x</mi>\u0000 <annotation>$x$</annotation>\u0000 </semantics></math>, and fully explicit; the corresponding free surface exhibits a nontrivial parabolic structure in <span></span><math>\u0000 <semantics>\u0000 <mi>y</mi>\u0000 <annotation>$y$</annotation>\u0000 </semantics></math>. We also provide an application to the Antarctic Circumpolar Current (ACC) for which we compare the sea surface height predicted by our constant vorticity model with satellite altimetry measurements available in the literature.</p>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"155 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.70081","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144606551","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}

{"title":"Preface: Modeling Wave Propagation: Mathematical Theory and Numerical Analysis, in Memory of Prof. Vassilios Dougalis","authors":"Georgios Akrivis,&nbsp;Jerry Bona,&nbsp;Angel Durán,&nbsp;Ohannes Karakashian,&nbsp;Dimitrios Mitsotakis,&nbsp;Beatrice Pelloni,&nbsp;Jean-Claude Saut","doi":"10.1111/sapm.70082","DOIUrl":"https://doi.org/10.1111/sapm.70082","url":null,"abstract":"","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"155 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144589897","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}

{"title":"Weak Solutions to the Riccati Equation and the Application in the Closed-Loop Control","authors":"Deqin Su,&nbsp;Xiaoying Wang,&nbsp;Yong Li","doi":"10.1111/sapm.70078","DOIUrl":"https://doi.org/10.1111/sapm.70078","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we establish the existence of a weak solution to the Riccati equation via the canonical Hamiltonian formulation and Ekeland variational principle and present an application in the closed-loop control. It is well-known that the general Riccati equation admits no classical solution due to its blow-up behavior. Nevertheless, by introducing a residual <span></span><math>\u0000 <semantics>\u0000 <mi>μ</mi>\u0000 <annotation>$mu$</annotation>\u0000 </semantics></math> through the combined application of the canonical Hamiltonian formulation and the Ekeland variational principle, we observe that under appropriate conditions, the weak solution to the Riccati equation exists. Initially, we derive the Hamilton–Jacobi equation from the Riccati equation incorporating the residual <span></span><math>\u0000 <semantics>\u0000 <mi>μ</mi>\u0000 <annotation>$mu$</annotation>\u0000 </semantics></math>, utilizing the canonical Hamiltonian formalism. Subsequently, we elucidate the relationship between the viscosity solution <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>S</mi>\u0000 <mo>∗</mo>\u0000 </msup>\u0000 <annotation>$mathcal {S}^*$</annotation>\u0000 </semantics></math> of the Hamilton–Jacobi equation and the residual <span></span><math>\u0000 <semantics>\u0000 <mi>μ</mi>\u0000 <annotation>$mu$</annotation>\u0000 </semantics></math>, thereby justifying the introduction of <span></span><math>\u0000 <semantics>\u0000 <mi>μ</mi>\u0000 <annotation>$mu$</annotation>\u0000 </semantics></math> and establishing the existence of the weak solution. Finally, we present the application of the Riccati equation with the residual <span></span><math>\u0000 <semantics>\u0000 <mi>μ</mi>\u0000 <annotation>$mu$</annotation>\u0000 </semantics></math> in a closed-loop control setting, thereby further substantiating the existence of the weak solution.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"155 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144550863","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}

{"title":"Dynamic Analysis of an Indirect Prey-Taxis Model With Singular Sensitivity","authors":"Zhuzhen Liao,&nbsp;Zhi-Cheng Wang","doi":"10.1111/sapm.70076","DOIUrl":"https://doi.org/10.1111/sapm.70076","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we consider an indirect prey-taxis model with singular sensitivity. One of the main obstacles in the research is the possible singularity of the system. We first study the global existence of the unique classical solution of the system in a bounded convex region with smooth boundary and Neumann boundary conditions. We further investigate the global boundedness of the solutions. Then, by constructing some proper Lyapunov functionals, we show the global asymptotic stability of the steady states and give the rate of convergence of the solution. In addition, we discuss the local stability of the predator-free steady state and positive constant steady state by using the corresponding characteristic equations. And adopting the indirect prey-taxis coefficient as the bifurcation parameter, we analyze the occurrence of Hopf bifurcation and steady-state bifurcation. Our results reveal that indirect prey-taxis can destroy the stability, with higher chemotactic intensities making the system more likely to exhibit time-periodic patterns, while lower chemotactic intensities make the system more likely to display steady-state patterns. Among other things, we conduct a comparative analysis with the nonsingular indirect prey-taxis system. Finally, several numerical simulations are presented to illustrate the findings.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"155 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144551271","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}

{"title":"Global Existence and Large Time Behavior of Classical Solutions to the Incompressible Inhomogeneous Kinetic-Fluid Model With Energy Exchanges","authors":"Fucai Li,&nbsp;Jinkai Ni,&nbsp;Man Wu","doi":"10.1111/sapm.70077","DOIUrl":"https://doi.org/10.1111/sapm.70077","url":null,"abstract":"&lt;div&gt;\u0000 \u0000 &lt;p&gt;In this paper, we concentrate on a kinetic-fluid model with energy exchanges, which contains a Vlasov–Fokker–Planck equation for the particles and an incompressible inhomogeneous Navier–Stokes system with heat conductivity for the fluid. The two parts in the model twist together via the momentum and energy exchanges revealing the interaction between the fluid and the particles. For the small initial data near the given equilibrium state, we obtain the global existence, uniqueness, and optimal decay rates of classical solutions in the three-dimensional whole space. Furthermore, we obtain the optimal decay rates of the gradients in &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;x&lt;/mi&gt;\u0000 &lt;annotation&gt;$x$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; of solutions. For the periodic domain case, the decay rates are exponential. The proofs of our results are mainly based on the new macro–micro decomposition and modified energy-spectrum method. We also introduce some new ideas and develop a new energy method to enclose the a priori estimates. More precisely, we first exploit the new macro–micro decomposition and the dissipation rate on the gradient of the pressure &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;p&lt;/mi&gt;\u0000 &lt;annotation&gt;$p$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; instead of the density &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 &lt;annotation&gt;$rho$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; in &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;msup&gt;\u0000 &lt;mi&gt;H&lt;/mi&gt;\u0000 &lt;mn&gt;2&lt;/mn&gt;\u0000 &lt;/msup&gt;\u0000 &lt;annotation&gt;$H^2$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; norm to enclose the estimates &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;∥&lt;/mo&gt;\u0000 &lt;mi&gt;f&lt;/mi&gt;\u0000 &lt;mo&gt;∥&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;msubsup&gt;\u0000 &lt;mi&gt;H&lt;/mi&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;x&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ξ&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mn&gt;3&lt;/mn&gt;\u0000 &lt;/msubsup&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mo&gt;+&lt;/mo&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;∥&lt;/mo&gt;\u0000 &lt;mi&gt;u&lt;/mi&gt;\u0000 &lt;mo&gt;∥&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;msubsup&gt;\u0000 &lt;mi&gt;H&lt;/mi&gt;\u0000 &lt;mi&gt;x&lt;/mi&gt;\u0000 &lt;mn&gt;3&lt;/mn&gt;\u0000 &lt;/msubsup&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$Vert fVert _{H^3_{x,xi }} + Vert uVert _{H^3_x}$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;. Then, by applying Gronwall's inequality and establ","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"155 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144551272","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}

{"title":"Dispersive Revival Phenomena for Two-Dimensional Dispersive Evolution Equations","authors":"Zihan Yin,&nbsp;Jing Kang,&nbsp;Changzheng Qu","doi":"10.1111/sapm.70079","DOIUrl":"https://doi.org/10.1111/sapm.70079","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we investigate dispersive revival phenomena of two-dimensional linear spatially periodic dispersive evolution equations, defined on a rectangle with periodic boundary conditions and discontinuous initial profiles. We begin by studying the periodic initial-boundary value problem for general two-dimensional dispersive evolution equations. We prove that, when posed on a periodic rational torus, two-dimensional linear dispersive equations with homogeneous power integral binary polynomial dispersion relations exhibit the standard dispersive revival effect at rational times. This means that the resulting solution can be expressed as a finite linear combination of translates of the initial data. Next, we explore a novel revival phenomenon in two-dimensional equations with nonpolynomial dispersion relations, in the concrete case of the periodic initial-boundary value problem for the linear Kadomtsev–Petviashvili equation on a square with step function initial data. In this scenario, the revival phenomenon exhibits a novel characteristic that there are radically different qualitative behaviors in the <span></span><math>\u0000 <semantics>\u0000 <mi>x</mi>\u0000 <annotation>$x$</annotation>\u0000 </semantics></math>- and <span></span><math>\u0000 <semantics>\u0000 <mi>y</mi>\u0000 <annotation>$y$</annotation>\u0000 </semantics></math>-directions. We provide an analytic description of this dichotomous revival phenomenon and present illustrative numerical simulations.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"155 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144551215","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}

{"title":"Nonlinear Fourier Transforms for the Sawada–Kotera Equation on the Line","authors":"Lin Huang,&nbsp;Deng-Shan Wang,&nbsp;Xiaodong Zhu","doi":"10.1111/sapm.70075","DOIUrl":"https://doi.org/10.1111/sapm.70075","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper presents a Riemann–Hilbert (RH) problem formalism for the initial value problem of the Sawada–Kotera equation defined on the real line. Assuming the existence of a solution, we establish that this solution can be effectively represented by solving a <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>3</mn>\u0000 <mo>×</mo>\u0000 <mn>3</mn>\u0000 </mrow>\u0000 <annotation>$3 times 3$</annotation>\u0000 </semantics></math> matrix RH problem. Notably, the formulation of this RH problem involves four spectral functions: <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>s</mi>\u0000 <mn>32</mn>\u0000 </msub>\u0000 <annotation>$s_{32}$</annotation>\u0000 </semantics></math>, <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>s</mi>\u0000 <mn>33</mn>\u0000 </msub>\u0000 <annotation>$s_{33}$</annotation>\u0000 </semantics></math>, <span></span><math>\u0000 <semantics>\u0000 <msubsup>\u0000 <mi>s</mi>\u0000 <mn>32</mn>\u0000 <mi>A</mi>\u0000 </msubsup>\u0000 <annotation>$s^A_{32}$</annotation>\u0000 </semantics></math>, and <span></span><math>\u0000 <semantics>\u0000 <msubsup>\u0000 <mi>s</mi>\u0000 <mn>33</mn>\u0000 <mi>A</mi>\u0000 </msubsup>\u0000 <annotation>$s^A_{33}$</annotation>\u0000 </semantics></math>, which are obtained via a nonlinear Fourier transform applied to the initial data. Furthermore, this study conducts a detailed spectral analysis, providing a foundation for the application of the nonlinear steepest descent method to determine the long-time asymptotic behavior of solutions to the Sawada–Kotera equation on the real line.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"155 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144551273","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}

{"title":"Analysis of a Radiotherapy Model for Brain Tumors","authors":"Marina Chugunova,&nbsp;Hangjie Ji,&nbsp;Roman Taranets,&nbsp;Nataliya Vasylyeva","doi":"10.1111/sapm.70074","DOIUrl":"https://doi.org/10.1111/sapm.70074","url":null,"abstract":"<div>\u0000 \u0000 <p>In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors undergoing radiotherapy treatment. Under certain assumptions regarding the given data in the model, we prove the existence and uniqueness of a weak nonnegative (biologically relevant) solution. Then, we show how the additional regularity of initial data affects the regularity of these solutions. Besides, we analyze the optimal control of the advection coefficient which tunes the radiotherapy effect on the tumor cell population. We also complement our analytical results with relevant numerical simulations.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"155 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144550994","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}

{"title":"Issue Information-TOC","authors":"","doi":"10.1111/sapm.70080","DOIUrl":"https://doi.org/10.1111/sapm.70080","url":null,"abstract":"","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"155 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.70080","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144551140","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}