Journal of Mathematical Fluid Mechanics最新文献_第4页

A Regularity Criterion for the Angular Component of Velocity in the norm (L_q(0,T;L_p(Omega )),;frac{3}{p} +frac{2}{q}<1,;q< infty ), in Axisymmetric Navier-Stokes Equations in a Cylinder 柱体轴对称Navier-Stokes方程中范数(L_q(0,T;L_p(Omega )),;frac{3}{p} +frac{2}{q}<1,;q< infty )中速度角分量的正则性判据

IF 1.5 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-06-16 DOI: 10.1007/s00021-026-01022-9

Wiesław J. Grygierzec, Wojciech M. Zaja̧czkowski

{"title":"A Regularity Criterion for the Angular Component of Velocity in the norm (L_q(0,T;L_p(Omega )),;frac{3}{p} +frac{2}{q}<1,;q< infty ), in Axisymmetric Navier-Stokes Equations in a Cylinder","authors":"Wiesław J. Grygierzec, Wojciech M. Zaja̧czkowski","doi":"10.1007/s00021-026-01022-9","DOIUrl":"10.1007/s00021-026-01022-9","url":null,"abstract":"<div><p>We consider the axisymmetric Navier-Stokes equations in a finite cylinder <span>(Omega subset mathbb {R}^3)</span>. We assume that <span>(v_r)</span>, <span>(v_varphi )</span>, <span>(omega _varphi )</span> vanish on the lateral part of boundary <span>(partial Omega )</span> of the cylinder, and that <span>(v_z)</span>, <span>(omega _varphi )</span>, <span>(partial _zv_varphi )</span> vanish on the top and bottom parts of the boundary <span>(partial Omega )</span>, where we used standard cylindrical coordinates, and we denoted by <span>(omega =operatorname {curl}v)</span> the vorticity field. We use <span>(H^3)</span> Sobolev estimates for the modified stream function (stream function divided by radius) and energy type estimates for gradient of swirl to derive two order reduction estimates. Finally, using the estimate </p><div><div><span>$$ Vert v_varphi Vert _{L_q(0,T;L_p(Omega ))} le A, $$</span></div></div><p>where <i>A</i> is a given number and <span>(frac{3}{p} + frac{2}{q} < 1)</span>, <span>(q<infty )</span> we prove the existence of global regular axially-symmetric solutions.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 3","pages":""},"PeriodicalIF":1.5,"publicationDate":"2026-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00021-026-01022-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281172","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

Global Existence and Blow-Up for the Euler-Poincaré Equations with a Class of Initial Data 一类初始数据的euler - poincar<e:1>方程的整体存在性与爆破

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-06-10 DOI: 10.1007/s00021-026-01035-4

Jinlu Li, Yanghai Yu, Weipeng Zhu

引用次数: 0

Local Well-Posedness for Barotropic Compressible Fluid–Viscoelastic Shell Interactions 正压可压缩流体-粘弹性壳相互作用的局部适定性

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-06-09 DOI: 10.1007/s00021-026-01031-8

Pierre Marie Ngougoue Ngougoue

{"title":"Local Well-Posedness for Barotropic Compressible Fluid–Viscoelastic Shell Interactions","authors":"Pierre Marie Ngougoue Ngougoue","doi":"10.1007/s00021-026-01031-8","DOIUrl":"10.1007/s00021-026-01031-8","url":null,"abstract":"<div><p>We study a three-dimensional barotropic compressible Navier–Stokes flow interacting with a viscoelastic shell that occupies a portion of the fluid boundary. The analysis is entirely Eulerian and the moving interface is parametrised by a localised Hanzawa transform supported near the shell patch, which preserves the transport structure of the continuity equation and avoids a global Lagrangian map. We prove local-in-time existence and uniqueness of strong solutions for compatible data and without imposing a vanishing initial shell displacement. The proof combines a well-posedness theory for the continuity equation, solved by the method of characteristics in the Hanzawa frame, with an analysis of the momentum–structure subproblem carried out by the classical linearisation–energy estimate–fixed-point scheme on a fixed reference domain. A Banach fixed point then couples the two steps and closes the argument on a short time interval. We work with a viscosity-weighted energy that makes the scaling in the shear and bulk viscosities explicit. This yields bounds whose constants grow at most linearly in these parameters. In particular, the estimates are inviscid-limit compatible. The result complements the global finite-energy weak theory for compressible fluid–shell interaction by providing a local strong well-posedness statement in the same geometric configuration. It also extends strong boundary results beyond beams and plates to bending shells, and addresses the wave-to-bending direction suggested in the literature on compressible fluid–structure interaction at structural boundaries, while remaining fully Eulerian.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00021-026-01031-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236608","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

Vanishing Viscosity Limit for the Compressible Navier-Stokes Equations with Non-Linear Density Dependent Viscosities 具有非线性密度相关黏度的可压缩Navier-Stokes方程的消失黏度极限

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-06-08 DOI: 10.1007/s00021-026-01030-9

Luca Bisconti, Matteo Caggio, Filippo Dell’Oro

引用次数: 0

Some Rigorous Remarks on Migdal’s Momentum Loop Equation 关于米格达尔动量环方程的一些严格注释

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-06-03 DOI: 10.1007/s00021-026-01023-8

Elia Brué, Camillo De Lellis

引用次数: 0

Mathematical Justification of a Baer–Nunziato Model for a Compressible Viscous Fluid with Phase Transition 具有相变的可压缩粘性流体Baer-Nunziato模型的数学证明

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-05-27 DOI: 10.1007/s00021-026-01028-3

Christian Rohde, Florian Wendt

{"title":"Mathematical Justification of a Baer–Nunziato Model for a Compressible Viscous Fluid with Phase Transition","authors":"Christian Rohde, Florian Wendt","doi":"10.1007/s00021-026-01028-3","DOIUrl":"10.1007/s00021-026-01028-3","url":null,"abstract":"<div><p>In this work, we justify a Baer–Nunziato system including appropriate closure terms as the macroscopic description of a compressible viscous fluid that can occur in a liquid or a vapor phase in the isothermal framework. As a mathematical model for the two-phase fluid on the detailed scale we chose a non-local version of the Navier–Stokes–Korteweg equations in the one-dimensional and periodic setting. Our justification relies on anticipating the macroscopic description of the two-phase fluid as the limit system for a sequence of solutions with highly oscillating initial densities. Interpreting the density as a parametrized measure, we extract a limit system consisting of a kinetic equation for the parametrized measure and a momentum equation for the velocity. Under the assumption that the initial density distributions converge in the limit to a convex combination of Dirac-measures, we show by a uniqueness result that the parametrized measure also has to be a convex combination of Dirac-measures and, that the limit system reduces to the Baer–Nunziato system. This work extends existing results concerning the justification of Baer–Nunziato models as the macroscopic description of multi-fluid models in the sense, that we allow for phase transition effects on the detailed scale. This work also includes a new global-in-time well-posedness result for the Cauchy problem of the non-local Navier–Stokes–Korteweg equations.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00021-026-01028-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148173471","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

Weak Solutions for a Dense Granular Model with Drucker-Prager Plasticity and Bagnold Viscosity Scaling 具有Drucker-Prager塑性和Bagnold黏度缩放的致密颗粒模型的弱解

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-05-26 DOI: 10.1007/s00021-026-01029-2

Laurent Chupin, Thierry Dubois

引用次数: 0

Wave breaking for the Fornberg-Whitham-Degasperis-Procesi equation Fornberg-Whitham-Degasperis-Procesi方程的破波

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-04-28 DOI: 10.1007/s00021-026-01020-x

Runjie Han, Jian Li, Shaojie Yang

引用次数: 0

Well-Posedness of a Generalized Stokes Operator on Smooth Bounded Domains via Layer-Potentials 光滑有界域上基于层势的广义Stokes算子的适定性