Journal of Mathematical Fluid Mechanics最新文献_第6页

Solitary Electrohydrodynamic Waves with Submerged Point Vortices 具有淹没点涡的孤立电水动力波

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-03-03 DOI: 10.1007/s00021-026-01011-y

Tingting Feng, Haihan Yang

引用次数: 0

Explicit Two-Dimensional Solution for a Model of the Antarctic Circumpolar Current 南极绕极流模式的显式二维解

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-03-02 DOI: 10.1007/s00021-026-01008-7

Shan Li, Fei Chen, JinRong Wang

引用次数: 0

Determination of Time Dependent Source Terms for Stokes Systems in Unbounded Domains 无界域上Stokes系统时相关源项的确定

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-02-19 DOI: 10.1007/s00021-025-00996-2

Adel Blouza, Léo Glangetas, Yavar Kian, Van-Sang Ngo

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Optimal Control of a Navier–Stokes–Cahn–Hilliard System for Membrane-fluid Interaction 膜-流体相互作用Navier-Stokes-Cahn-Hilliard系统的最优控制

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-02-12 DOI: 10.1007/s00021-026-01004-x

Andrea Signori, Hao Wu

引用次数: 0

Forward Self-similar Solutions to the MHD Type System in the Half Space 提出半空间MHD型系统的自相似解

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-02-10 DOI: 10.1007/s00021-026-01007-8

Yifan Yang

引用次数: 0

(L^infty ) Bounds Under Optimal Conditions on Integrability of Forces in the Two-dimensional Navier-Stokes System (L^infty ) 二维Navier-Stokes系统力可积性最优条件下的界

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-02-05 DOI: 10.1007/s00021-026-01005-w

Taiki Takeuchi, Michael Winkler

{"title":"(L^infty ) Bounds Under Optimal Conditions on Integrability of Forces in the Two-dimensional Navier-Stokes System","authors":"Taiki Takeuchi, Michael Winkler","doi":"10.1007/s00021-026-01005-w","DOIUrl":"10.1007/s00021-026-01005-w","url":null,"abstract":"<div><p>The two-dimensional Navier-Stokes system </p><div><div><span>$$begin{aligned} left{ begin{array}{l} u_t + (ucdot nabla ) u =Delta u+nabla P + f(x,t), nabla cdot u=0, end{array} right. qquad qquad (star ) end{aligned}$$</span></div></div><p>is considered along with homogeneous Dirichlet boundary conditions in a smoothly bounded planar domain <span>(Omega subset mathbb {R}^2)</span>. By assuming that the initial fluid velocity <span>(u_0)</span> and the external force <i>f</i> are smooth and satisfy <span>(Vert u_0Vert _{L^{infty }(Omega )}+Vert {mathcal {P}}fVert _{L^q( ((t-1)_+,t);L^p(Omega ))})</span><span>( le M)</span> for all <span>(t in (0,T))</span>, and that (<i>u</i>, <i>P</i>) is a classical solution of (<span>(star )</span>) on <span>(Omega times (0,T))</span>, it is shown that <span>(Vert uVert _{L^{infty }(Omega times (0,T))}<infty )</span> under the condition that <span>(p in (1,infty ])</span> and <span>(q in [1,infty ])</span> fulfill either </p><div><div><span>$$begin{aligned} q>1 qquad text{ and } qquad frac{1}{p} + frac{1}{q} <1, end{aligned}$$</span></div></div><p>or </p><div><div><span>$$begin{aligned} q=1 qquad text{ and } qquad p=infty . end{aligned}$$</span></div></div><p>In addition, given any <span>(x_0 in Omega )</span> and <span>(T>0)</span>, certain smooth <i>f</i> and <span>(u=(u_1,u_2))</span> are constructed which are such that <span>(Vert fVert _{L^q((0,T);L^p(Omega ))}<infty )</span> for any <span>(p in [1,infty ))</span> and <span>(q in (1,infty ])</span> fulfilling </p><div><div><span>$$begin{aligned} frac{1}{p}+frac{1}{q} ge 1, end{aligned}$$</span></div></div><p>that <i>u</i> solves (<span>(star )</span>) in <span>(Omega times (0,T))</span> with some suitable <i>P</i>, but that </p><div><div><span>$$begin{aligned} u_1(x_0,t)rightarrow + infty qquad text{ as } tnearrow T. end{aligned}$$</span></div></div></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147337458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Global Stability and Non-Vanishing Vacuum States of the 3D Full Compressible Navier–Stokes equations 三维全可压缩Navier-Stokes方程的全局稳定性和非消失真空态

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-02-03 DOI: 10.1007/s00021-026-01003-y

Yang Liu, Guochun Wu, Xin Zhong

{"title":"Global Stability and Non-Vanishing Vacuum States of the 3D Full Compressible Navier–Stokes equations","authors":"Yang Liu, Guochun Wu, Xin Zhong","doi":"10.1007/s00021-026-01003-y","DOIUrl":"10.1007/s00021-026-01003-y","url":null,"abstract":"<div><p>We are concerned with the global stability and non-vanishing vacuum states of large strong solutions to the full compressible Navier–Stokes equations on the torus <span>({mathbb {T}}^3)</span>, and the main goal of this work is twofold. First, it is shown that the global strong solutions converge to an equilibrium state exponentially in <span>(L^2)</span> in the presence of vacuum provided that the density <span>(rho )</span> and the temperature <span>(theta )</span> are bounded uniformly in <span>(L^infty )</span>. This improves the previous related works in (Ann. Inst. H. Poincaré C Anal. Non Linéaire, 37 (2020), no. 2, 457–488) and (J. Math. Fluid Mech., 24 (2022), no. 2, Paper No. 31), where both <span>(rho (x, t))</span> and <span>(theta (x, t))</span> possess uniform-in-time positive lower and upper bounds, and <span>(rho (x,t))</span> is bounded uniformly in the Hölder space <span>(C^alpha )</span> for some <span>(0<alpha <1)</span>. Moreover, we remove the extra restriction <span>(2mu >lambda )</span> in their results. Second, by employing some new ideas, we show that the density and temperature converge to their equilibrium states exponentially in the <span>(L^infty )</span>-norm if additionally the initial density has positive lower bound, which extends the isentropic case in (SIAM J. Math. Anal., 55 (2023), no. 2, 882–899) to the non-isentropic case. As a by-product, we get that the vacuum state will persist for any time as long as the initial density contains vacuum.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146099148","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Global Well-Posedness and Exponential Decay for the Two-Phase Model with a Magnetic Field 带磁场的两相模型的全局适定性和指数衰减

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-02-02 DOI: 10.1007/s00021-025-00989-1

Xueyuan Qi

引用次数: 0

The Dispersion Relation of Tollmien-Schlichting Waves toll - schlichting波的色散关系

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-02-02 DOI: 10.1007/s00021-026-01006-9

Dongfen Bian, Shouyi Dai, Emmanuel Grenier

引用次数: 0

Effect of Weak Elasticity on the Kelvin-Helmholtz Instability 弱弹性对开尔文-亥姆霍兹不稳定性的影响