Journal of Mathematical Fluid Mechanics最新文献_第7页

From Bipolar Euler-Poisson System to Unipolar Euler-Poisson One in the Perspective of Mass 质量视角下从双极欧拉-泊松系统到单极欧拉-泊松系统

IF 1.2 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-01-16 DOI: 10.1007/s00021-023-00838-z

Shuai Xi, Liang Zhao

引用次数: 0

Data Assimilation to the Primitive Equations with (L^p)-(L^q)-based Maximal Regularity Approach 采用基于 $$L^p$$ - $$L^q$$ 的最大正则性方法对原始方程进行数据同化

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-01-04 DOI: 10.1007/s00021-023-00843-2

Ken Furukawa

引用次数: 0

The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions 三维带远场真空的非保守可压缩双流体模型的考奇问题

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-01-03 DOI: 10.1007/s00021-023-00844-1

Huanyao Wen, Xingyang Zhang

{"title":"The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions","authors":"Huanyao Wen, Xingyang Zhang","doi":"10.1007/s00021-023-00844-1","DOIUrl":"10.1007/s00021-023-00844-1","url":null,"abstract":"<div><p>In this paper, we study the wellposedness of the Cauchy problem for a non-conservative compressible two-fluid model with density-dependent viscosity coefficients vanishing at far field in three dimensions. The non-conservative pressure term (an implicit function) and the degenerate viscosity coefficients due to the vanishing of the volume fractions and the densities are the main issues. To overcome the difficulties, we construct iteration sequences in terms of the average densities and the velocities, and explore some new connections between the pressure term (including its gradients) and some other terms of the average densities. Those estimates are uniform for the positive lower bound of the average densities, and they are not trivial in particular when the adiabatic indexes are close to 1. Moreover, to get the strong convergence for the full sequences, one can not use the mean value theorem in the pressure term to get the desired estimates of the difference between the average densities due to the possible vanishing of the densities. Instead, we introduce some equations in terms of some new quantities associated with the volume fractions, the densities, and the average densities. Compared with the existing results on the same model, this work can be viewed as the first result on the wellposedness of regular solutions that allow the volume fraction and the density to vanish.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139090590","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

Feedback Stabilization of a Two-Fluid Surface Tension System Modeling the Motion of a Soap Bubble at Low Reynolds Number: The Two-Dimensional Case 模拟低雷诺数肥皂泡运动的双流体表面张力系统的反馈稳定：二维情况

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2023-12-31 DOI: 10.1007/s00021-023-00841-4

Sébastien Court

{"title":"Feedback Stabilization of a Two-Fluid Surface Tension System Modeling the Motion of a Soap Bubble at Low Reynolds Number: The Two-Dimensional Case","authors":"Sébastien Court","doi":"10.1007/s00021-023-00841-4","DOIUrl":"10.1007/s00021-023-00841-4","url":null,"abstract":"<div><p>The aim of this paper is to design a feedback operator for stabilizing in infinite time horizon a system modeling the interactions between a viscous incompressible fluid and the deformation of a soap bubble. The latter is represented by an interface separating a bounded domain of <span>(mathbb {R}^2)</span> into two connected parts filled with viscous incompressible fluids. The interface is a smooth perturbation of the 1-sphere, and the surrounding fluids satisfy the incompressible Stokes equations in time-dependent domains. The mean curvature of the surface defines a surface tension force which induces a jump of the normal trace of the Cauchy stress tensor. The response of the fluids is a velocity trace on the interface, governing the time evolution of the latter, via the equality of velocities. The data are assumed to be sufficiently small, in particular the initial perturbation, that is the initial shape of the soap bubble is close enough to a circle. The control function is a surface tension type force on the interface. We design it as the sum of two feedback operators: one is explicit, the second one is finite-dimensional. They enable us to define a control operator that stabilizes locally the soap bubble to a circle with an arbitrary exponential decay rate, up to translations, and up to non-contact with the outer boundary.\u0000</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00021-023-00841-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139072053","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

Exact Solutions Modelling Nonlinear Atmospheric Gravity Waves 非线性大气重力波建模的精确解法

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2023-12-20 DOI: 10.1007/s00021-023-00842-3

David Henry

引用次数: 0

Microscopic Expression of Anomalous Dissipation in Passive Scalar Transport 被动标量传输中反常耗散的微观表达

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2023-12-11 DOI: 10.1007/s00021-023-00834-3

Tomonori Tsuruhashi, Tsuyoshi Yoneda

引用次数: 0

Well-Posedness of Solutions to Stochastic Fluid–Structure Interaction 随机流固耦合解的适定性

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2023-11-16 DOI: 10.1007/s00021-023-00839-y

Jeffrey Kuan, Sunčica Čanić

{"title":"Well-Posedness of Solutions to Stochastic Fluid–Structure Interaction","authors":"Jeffrey Kuan, Sunčica Čanić","doi":"10.1007/s00021-023-00839-y","DOIUrl":"10.1007/s00021-023-00839-y","url":null,"abstract":"<div><p>In this paper we introduce a constructive approach to study well-posedness of solutions to stochastic fluid–structure interaction with stochastic noise. We focus on a benchmark problem in stochastic fluid–structure interaction, and prove the existence of a unique weak solution in the probabilistically strong sense. The benchmark problem consists of the 2D time-dependent Stokes equations describing the flow of an incompressible, viscous fluid interacting with a linearly elastic membrane modeled by the 1D linear wave equation. The membrane is stochastically forced by the time-dependent white noise. The fluid and the structure are linearly coupled. The constructive existence proof is based on a time-discretization via an operator splitting approach. This introduces a sequence of approximate solutions, which are random variables. We show the existence of a subsequence of approximate solutions which converges, almost surely, to a weak solution in the probabilistically strong sense. The proof is based on uniform energy estimates in terms of the <i>expectation</i> of the energy norms, which are the backbone for a weak compactness argument giving rise to a weakly convergent subsequence of <i>probability measures</i> associated with the approximate solutions. Probabilistic techniques based on the Skorohod representation theorem and the Gyöngy–Krylov lemma are then employed to obtain almost sure convergence of a subsequence of the random approximate solutions to a weak solution in the probabilistically strong sense. The result shows that the deterministic benchmark FSI model is robust to stochastic noise, even in the presence of rough white noise in time. To the best of our knowledge, this is the first well-posedness result for stochastic fluid–structure interaction.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134796764","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: 2

Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier–Stokes Equations 线性化无旋流可压缩Navier-Stokes方程解衰减估计的最优性

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2023-11-14 DOI: 10.1007/s00021-023-00837-0

Tsukasa Iwabuchi, Dáithí Ó hAodha

引用次数: 2

A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates 拉格朗日坐标系下二维和三维Euler-Boussinesq方程精确解的一种方法

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2023-11-14 DOI: 10.1007/s00021-023-00835-2

Tomi Saleva, Jukka Tuomela

引用次数: 0

Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations Euler方程Gavrilov解驱动下流体粒子的近环面、周期和准周期运动

IF 1.3 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2023-11-07 DOI: 10.1007/s00021-023-00836-1

Pietro Baldi

引用次数: 1