发布求助
文献互助 智能选刊 最新文献

Applied Mathematics and Optimization最新文献

筛选
英文 中文
Well-Posedness of 3D MHD Equations with Damping on Time-Varying Domains 时变域上具有阻尼的三维多流体力学方程的良好拟合
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-04-02 DOI: 10.1007/s00245-025-10253-7
Xiaoya Song
{"title":"Well-Posedness of 3D MHD Equations with Damping on Time-Varying Domains","authors":"Xiaoya Song","doi":"10.1007/s00245-025-10253-7","DOIUrl":"10.1007/s00245-025-10253-7","url":null,"abstract":"<div><p>In the present paper, we consider the well-posedness of 3D MHD equations with the damping terms <span>(|u|^{alpha -1}u)</span> and <span>(|B|^{beta -1}B)</span> (<span>(alpha ,beta ge 1)</span>) defined on time-varying domains with homogeneous Dirichlet boundary conditions. We show that the damped 3D MHD system has global weak solutions for any <span>(1le alpha ,beta le 5)</span> and the weak solution is unique for any <span>(4le alpha ,beta le 5)</span>.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143761695","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
Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization 通过数值形状优化改进对布拉什克-桑塔洛图的描述
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-04-02 DOI: 10.1007/s00245-025-10250-w
Ilias Ftouhi
{"title":"Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization","authors":"Ilias Ftouhi","doi":"10.1007/s00245-025-10250-w","DOIUrl":"10.1007/s00245-025-10250-w","url":null,"abstract":"<div><p>We propose a method based on the combination of theoretical results on Blaschke–Santaló diagrams and numerical shape optimization techniques to obtain improved description of Blaschke–Santaló diagrams in the class of planar convex sets. To illustrate our approach, we study three relevant diagrams involving the perimeter <i>P</i>, the diameter <i>d</i>, the area <i>A</i> and the first eigenvalue of the Laplace operator with Dirichlet boundary condition <span>(lambda _1)</span>. The first diagram is a purely geometric one involving the triplet (<i>P</i>, <i>d</i>, <i>A</i>) and the two other diagrams involve geometric and spectral functionals, namely <span>((P,lambda _1,A))</span> and <span>((d,lambda _1,A))</span> where a strange phenomenon of non-continuity of the extremal shapes is observed.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00245-025-10250-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143761694","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
General Duality and Dual Attainment for Adapted Transport 适应性运输的一般双重性和双重实现
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-21 DOI: 10.1007/s00245-025-10240-y
Daniel Kršek, Gudmund Pammer
{"title":"General Duality and Dual Attainment for Adapted Transport","authors":"Daniel Kršek,&nbsp;Gudmund Pammer","doi":"10.1007/s00245-025-10240-y","DOIUrl":"10.1007/s00245-025-10240-y","url":null,"abstract":"<div><p>We investigate duality and existence of dual optimizers for several adapted optimal transport problems under minimal assumptions. This includes the causal and bicausal transport, the causal and bicausal barycenter problem, and a multimarginal problem incorporating causality constraints. Moreover, we characterize polar sets in the causal and bicausal setting and discuss applications of our results in robust finance. We consider a non-dominated model of several financial markets where stocks are traded dynamically, but the joint stock dynamics are unknown. We show that a no-arbitrage assumption naturally leads to sets of multicausal couplings. Consequently, computing the robust superhedging price is equivalent to solving an adapted transport problem, and finding a superhedging strategy means solving the corresponding dual.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00245-025-10240-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143667864","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
Lévy Driven Stochastic Heat Equation with Logarithmic Nonlinearity: Well-Posedness and Large Deviation Principle 具有对数非线性的lsamvy驱动随机热方程：适定性和大偏差原理
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-19 DOI: 10.1007/s00245-025-10247-5
R. Kavin, Ananta K. Majee
{"title":"Lévy Driven Stochastic Heat Equation with Logarithmic Nonlinearity: Well-Posedness and Large Deviation Principle","authors":"R. Kavin,&nbsp;Ananta K. Majee","doi":"10.1007/s00245-025-10247-5","DOIUrl":"10.1007/s00245-025-10247-5","url":null,"abstract":"<div><p>In this article, we study the well-posedness theory for solutions of the stochastic heat equations with logarithmic nonlinearity perturbed by multiplicative Lévy noise. By using Aldous tightness criteria and Jakubowski’s version of the Skorokhod theorem on non-metric spaces along with the standard <span>(L^2)</span>-method, we establish the existence of a path-wise unique strong solution. Moreover, by using a weak convergence method, we establish a large deviation principle for the strong solution of the underlying problem. Due to the lack of linear growth and locally Lipschitzness of the term <span>( u log (|u|))</span> present in the underlying problem, the logarithmic Sobolev inequality and the nonlinear versions of Gronwall’s inequalities play a crucial role.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143645648","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
Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations 探索性Hamilton-Jacobi-Bellman方程的策略迭代
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-17 DOI: 10.1007/s00245-025-10249-3
Hung Vinh Tran, Zhenhua Wang, Yuming Paul Zhang
{"title":"Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations","authors":"Hung Vinh Tran,&nbsp;Zhenhua Wang,&nbsp;Yuming Paul Zhang","doi":"10.1007/s00245-025-10249-3","DOIUrl":"10.1007/s00245-025-10249-3","url":null,"abstract":"<div><p>We study the policy iteration algorithm (PIA) for entropy-regularized stochastic control problems on an infinite time horizon with a large discount rate, focusing on two main scenarios. First, we analyze PIA with bounded coefficients where the controls applied to the diffusion term satisfy a smallness condition. We demonstrate the convergence of PIA based on a uniform <span>({{mathcal {C}}}^{2,alpha })</span> estimate for the value sequence generated by PIA, and provide a quantitative convergence analysis for this scenario. Second, we investigate PIA with unbounded coefficients but no control over the diffusion term. In this scenario, we first provide the well-posedness of the exploratory Hamilton–Jacobi–Bellman equation with linear growth coefficients and polynomial growth reward function. By such a well-posedess result we achieve PIA’s convergence by establishing a quantitative locally uniform <span>({{mathcal {C}}}^{1,alpha })</span> estimates for the generated value sequence.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143632500","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 Delay Nonlocal Quasilinear Chafee–Infante Problem: An Approach via Semigroup Theory 一类时滞非局部拟线性Chafee-Infante问题：基于半群理论的方法
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-10 DOI: 10.1007/s00245-025-10241-x
Tomás Caraballo, A. N. Carvalho, Yessica Julio
{"title":"A Delay Nonlocal Quasilinear Chafee–Infante Problem: An Approach via Semigroup Theory","authors":"Tomás Caraballo,&nbsp;A. N. Carvalho,&nbsp;Yessica Julio","doi":"10.1007/s00245-025-10241-x","DOIUrl":"10.1007/s00245-025-10241-x","url":null,"abstract":"<div><p>In this work we study a dissipative one dimensional scalar parabolic problem with non-local nonlinear diffusion with delay. We consider the general situation in which the functions involved are only continuous and solutions may not be unique. We establish conditions for global existence and prove the existence of global attractors. All results are presented only in the autonomous since the non-autonomous case follows in the same way, including the existence of pullback attractors. A particularly interesting feature is that there is a semilinear problem (nonlocal in space and in time) from which one can obtain all solutions of the associated quasilinear problem and that for this semilinear problem the delay depends on the initial function making its study more involved.\u0000</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143583402","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
Entropic Mean-Field Min–Max Problems via Best Response Flow 基于最佳响应流的熵平均场最小-最大问题
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-09 DOI: 10.1007/s00245-025-10246-6
Razvan-Andrei Lascu, Mateusz B. Majka, Łukasz Szpruch
{"title":"Entropic Mean-Field Min–Max Problems via Best Response Flow","authors":"Razvan-Andrei Lascu,&nbsp;Mateusz B. Majka,&nbsp;Łukasz Szpruch","doi":"10.1007/s00245-025-10246-6","DOIUrl":"10.1007/s00245-025-10246-6","url":null,"abstract":"<div><p>We investigate the convergence properties of a continuous-time optimization method, the <i>Mean-Field Best Response</i> flow, for solving convex-concave min-max games with entropy regularization. We introduce suitable Lyapunov functions to establish exponential convergence to the unique mixed Nash equilibrium. Additionally, we demonstrate the convergence of the fictitious play flow as a by-product of our analysis.\u0000</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00245-025-10246-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581128","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
Strong Convergence of Solutions and Attractors for Reaction-Diffusion Equations Governed by a Fractional Laplacian 分数阶拉普拉斯控制的反应扩散方程解和吸引子的强收敛性
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-08 DOI: 10.1007/s00245-025-10242-w
Jiaohui Xu, Tomás Caraballo, José Valero
{"title":"Strong Convergence of Solutions and Attractors for Reaction-Diffusion Equations Governed by a Fractional Laplacian","authors":"Jiaohui Xu,&nbsp;Tomás Caraballo,&nbsp;José Valero","doi":"10.1007/s00245-025-10242-w","DOIUrl":"10.1007/s00245-025-10242-w","url":null,"abstract":"<div><p>A nonlocal reaction-diffusion equation governed by a fractional Laplace operator on a bounded domain is studied in this paper. First, the strong convergence of solutions of the equations governed by fractional Laplacian to the solutions of the classical equations governed by a standard Laplace operator is proved, when the fractional parameter grows to <span>(1)</span>. Second, for the autonomous case, the upper semicontinuity of global attractors with respect to the attractors of the limit problem is established. Apparently, these are the first results for this kind of problems on bounded domains.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00245-025-10242-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581009","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
Convergence of Random Attractors for Stochastic Delay p-Laplacian Equation Driven by Nonlinear Colored Noise on Unbounded Thin Domains 无界薄域上非线性有色噪声驱动的随机延迟p-拉普拉斯方程随机吸引子的收敛性
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-08 DOI: 10.1007/s00245-025-10244-8
Fuzhi Li, Mirelson M. Freitas
{"title":"Convergence of Random Attractors for Stochastic Delay p-Laplacian Equation Driven by Nonlinear Colored Noise on Unbounded Thin Domains","authors":"Fuzhi Li,&nbsp;Mirelson M. Freitas","doi":"10.1007/s00245-025-10244-8","DOIUrl":"10.1007/s00245-025-10244-8","url":null,"abstract":"<div><p>We study the limiting behavior of solutions for stochastic delay <i>p</i>-Laplacian equation with nonlinear multiplicative colored noise on unbounded thin domains. There are three major ingredients. The first ingredient is to prove the existence and uniqueness of tempered random attractors for these equations. Secondly, the upper semi-continuity of these attractors when a family of <span>((n+1))</span>-dimensional thin domains degenerates onto an <i>n</i>-dimensional domain as the thinness measure approaches zero is established. The final ingredient is to show the upper semi-continuity of these delay random attractors when the length of time delay tends to zero.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00245-025-10244-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581008","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
Observability of the Linear Zakharov–Kuznetsov Equation 线性Zakharov-Kuznetsov方程的可观测性
IF 1.6 2区 数学
Applied Mathematics and Optimization Pub Date : 2025-03-08 DOI: 10.1007/s00245-025-10248-4
Roberto de A. Capistrano–Filho, Vilmos Komornik, Ademir F. Pazoto
{"title":"Observability of the Linear Zakharov–Kuznetsov Equation","authors":"Roberto de A. Capistrano–Filho,&nbsp;Vilmos Komornik,&nbsp;Ademir F. Pazoto","doi":"10.1007/s00245-025-10248-4","DOIUrl":"10.1007/s00245-025-10248-4","url":null,"abstract":"<div><p>We study the linear Zakharov–Kuznetsov equation with periodic boundary conditions. Employing some tools from the nonharmonic Fourier series we obtain several internal observability theorems. Then we prove various exact controllability and rapid uniform stabilization results by applying a duality principle and a general feedback construction. The method presented here introduces a new insight into the control of dispersive equations in two-dimensional cases and may be adapted to more general equations.</p></div>","PeriodicalId":55566,"journal":{"name":"Applied Mathematics and Optimization","volume":"91 2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00245-025-10248-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581007","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信