Journal of Mathematical Fluid Mechanics最新文献_第2页

Incompressible Navier–Stokes–Fourier Limit of the Steady Boltzmann Equation with Linear Boundary Condition in an Exterior Domain 外域线性边界条件下稳定Boltzmann方程的不可压缩Navier-Stokes-Fourier极限

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2025-08-11 DOI: 10.1007/s00021-025-00965-9

Weijun Wu, Fujun Zhou, Yongsheng Li

引用次数: 0

Stability of Strong Solutions to the Full Compressible Magnetohydrodynamic System with Non-Conservative Boundary Conditions 非保守边界条件下全可压缩磁流体动力系统强解的稳定性

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2025-08-06 DOI: 10.1007/s00021-025-00967-7

Hana Mizerová

引用次数: 0

The Pressureless Damped Euler-Riesz System in the Critical Regularity Framework 临界正则框架下的无压阻尼Euler-Riesz系统

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2025-08-05 DOI: 10.1007/s00021-025-00964-w

Meiling Chi, Ling-Yun Shou, Jiang Xu

{"title":"The Pressureless Damped Euler-Riesz System in the Critical Regularity Framework","authors":"Meiling Chi, Ling-Yun Shou, Jiang Xu","doi":"10.1007/s00021-025-00964-w","DOIUrl":"10.1007/s00021-025-00964-w","url":null,"abstract":"<div><p>We are concerned with a system governing the evolution of the pressureless compressible Euler equations with Riesz interaction and damping in <span>(mathbb {R}^{d})</span> (<span>(dge 1)</span>), where the interaction force is given by <span>(nabla (-Delta )^{(alpha -d)/2}rho )</span> with <span>(d-2<alpha <d)</span>. It is observed by the eigenvalue analysis that the density exhibits fractional heat diffusion behavior at low frequencies, which enables us to establish the global existence and large-time behavior of solutions to the Cauchy problem in the critical <span>(L^p)</span> framework. Precisely, the density and its <span>(sigma )</span>-order derivative converge to the equilibrium at the <span>(L^p)</span>-rate <span>((1+t)^{-(sigma -sigma _1)/(alpha -d+2)})</span> with <span>(-d/p-1le sigma _1< d/p-1)</span>, consistent with the rate of solutions for the frictional heat equation. A non-local hypercoercivity argument and the effective unknown <span>(z=u+nabla Lambda ^{alpha -d}rho )</span> associated with the Darcy law are introduced to overcome the difficulty from the absence of hyperbolic symmetrization for first-order dissipative systems.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"27 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162037","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

Three-Dimensional Flow of Ideal Fluid with Precessing Vortex Lines (Exact Solutions) 带涡线的理想流体三维流动（精确解）

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2025-07-30 DOI: 10.1007/s00021-025-00962-y

A. A. Abrashkin

引用次数: 0

Weak Solution of One Navier’s Problem for the Stokes Resolvent System Stokes可解系统单Navier问题的弱解

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2025-07-27 DOI: 10.1007/s00021-025-00959-7

Dagmar Medková

引用次数: 0

Global Large Strong Solutions of Radially Symmetric Compressible MHD Equations in 2D Discs 二维圆盘上径向对称可压缩MHD方程的全局大强解

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2025-07-24 DOI: 10.1007/s00021-025-00955-x

Xiangdi Huang, Weili Meng, Anchun Ni

引用次数: 0

The Existence and Non-Uniqueness of Global Weak Solution to a New Integrable System in (H^1(mathbb {R})) 一类新的可积系统整体弱解的存在性与非唯一性 (H^1(mathbb {R}))

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2025-07-18 DOI: 10.1007/s00021-025-00963-x

Pei Zheng, Zhaoyang Yin

引用次数: 0

Global Weak Solutions in a Three-dimensional Keller–Segel–Navier–Stokes System with Flux Limitation and Superlinear Production 具有通量限制和超线性产生的三维Keller-Segel-Navier-Stokes系统的全局弱解

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2025-07-11 DOI: 10.1007/s00021-025-00958-8

Jiyuan Guo, Shohei Kohatsu, Tomomi Yokota

{"title":"Global Weak Solutions in a Three-dimensional Keller–Segel–Navier–Stokes System with Flux Limitation and Superlinear Production","authors":"Jiyuan Guo, Shohei Kohatsu, Tomomi Yokota","doi":"10.1007/s00021-025-00958-8","DOIUrl":"10.1007/s00021-025-00958-8","url":null,"abstract":"<div><p>This paper is concerned with a three-dimensional Keller–Segel–Navier–Stokes system incorporating singular flux limitation and superlinear production. The primary goal is to establish global existence of weak solutions under conditions ensuring that flux limitations suppress the blow-up tendencies induced by superlinear growth. More precisely, this paper focuses on the system </p><div><figure><div><div><picture><img></picture></div></div></figure></div><p> in a bounded domain <span>(Omega subset mathbb {R}^3)</span> with smooth boundary, where <span>(0< alpha < 1)</span> and <span>(beta ge 1)</span>. Under the assumption <span>(alpha > 1 - frac{1}{3beta -1})</span>, we prove global existence of weak solutions to the Neumann problem for <span>((*))</span>. This study extends the previous work by Winkler [27], in which the corresponding system with the regular sensitivity <span>((|nabla c|^2+1)^{-frac{alpha }{2}})</span> and the linear production <span>((beta =1))</span> was considered, and highlights how strong flux limitation can control the effects of superlinear growth.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"27 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164481","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 Strong Solutions to the Cauchy Problem of Three-dimensional Isentropic Magnetohydrodynamics Equations with Large Initial Data 具有大初始数据的三维等熵磁流体动力学方程Cauchy问题的全局强解

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2025-07-07 DOI: 10.1007/s00021-025-00960-0

Yachun Li, Peng Lu, Zhaoyang Shang

引用次数: 0

Inhomogenous Navier–Stokes Equations with Unbounded Density 密度无界的非齐次Navier-Stokes方程

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2025-07-07 DOI: 10.1007/s00021-025-00956-w

Jean-Paul Adogbo, Piotr B. Mucha, Maja Szlenk

{"title":"Inhomogenous Navier–Stokes Equations with Unbounded Density","authors":"Jean-Paul Adogbo, Piotr B. Mucha, Maja Szlenk","doi":"10.1007/s00021-025-00956-w","DOIUrl":"10.1007/s00021-025-00956-w","url":null,"abstract":"<div><p>In the current state of the art regarding the Navier–Stokes equations, the existence of unique solutions for incompressible flows in two spatial dimensions is already well-established. Recently, these results have been extended to models with variable density, maintaining positive outcomes for merely bounded densities, even in cases with large vacuum regions. However, the study of incompressible Navier-Stokes equations with unbounded densities remains incomplete. Addressing this gap is the focus of the present paper. Our main result demonstrates the global existence of a unique solution for flows initiated by unbounded density, whose regularity/integrability is characterized within a specific subset of the Yudovich class of unbounded functions. The core of our proof lies in the application of Desjardins’ inequality, combined with a blow-up criterion for ordinary differential equations. Furthermore, we derive time-weighted estimates that guarantee the existence of a <span>(C^1)</span> velocity field and ensure the equivalence of Eulerian and Lagrangian formulations of the equations. Finally, by leveraging results from Danchin, R., Mucha, P.B.: The incompressible Navier-Stokes equations in vacuum. Comm. Pure Appl. Math <b>72</b>(7), 1351–1385 (2019), we conclude the uniqueness of the solution.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"27 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00021-025-00956-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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