Journal of Mathematical Fluid Mechanics最新文献_第3页

Existence of Local Solutions to a Free Boundary Problem for Incompressible Viscous Magnetohydrodynamics 不可压缩粘性磁流体力学自由边界问题局部解的存在性

IF 1.2 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-07-04 DOI: 10.1007/s00021-024-00879-y

Piotr Kacprzyk, Wojciech M. Zaja̧czkowski

引用次数: 0

A Priori Error Analysis and Finite Element Approximations for a Coupled Model Under Nonlinear Slip Boundary Conditions 非线性滑动边界条件下耦合模型的先验误差分析和有限元近似值

IF 1.2 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-06-10 DOI: 10.1007/s00021-024-00882-3

Dania Ati, Rahma Agroum, Jonas Koko

引用次数: 0

A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations 带电液滴运动的先验估计：通过自由边界欧拉方程的动态方法

IF 1.2 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-06-07 DOI: 10.1007/s00021-024-00883-2

Vesa Julin, Domenico Angelo La Manna

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引用次数: 0

On the Steady Flows of Viscous Compressible Magnetohydrodynamic Equations in an Infinite Horizontal Layer 论无限水平层中粘性可压缩磁流体动力学方程的稳定流动

IF 1.2 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-06-05 DOI: 10.1007/s00021-024-00881-4

Rachid Benabidallah, François Ebobisse

引用次数: 0

The Optimal ({{varvec{L}}^2}) Decay Rate of the Velocity for the General FENE Dumbbell Model 一般 FENE 哑铃模型的最优 ${{varvec{L}}^2}$ 速度衰减率

IF 1.2 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-05-23 DOI: 10.1007/s00021-024-00880-5

Zhaonan Luo, Wei Luo, Zhaoyang Yin

引用次数: 0

Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity 粘性可变的等熵可压缩纳维-斯托克斯方程的局部弱解

IF 1.2 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-05-19 DOI: 10.1007/s00021-024-00871-6

Qin Duan, Xiangdi Huang

引用次数: 0

Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application 具有完全局部单调系数的一类 SPDE 的 Wong-Zakai 近似算法及其应用

IF 1.2 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-05-17 DOI: 10.1007/s00021-024-00878-z

Ankit Kumar, Kush Kinra, Manil T. Mohan

{"title":"Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application","authors":"Ankit Kumar, Kush Kinra, Manil T. Mohan","doi":"10.1007/s00021-024-00878-z","DOIUrl":"10.1007/s00021-024-00878-z","url":null,"abstract":"<div><p>In this article, we establish the <i>Wong–Zakai approximation</i> result for a class of stochastic partial differential equations (SPDEs) with fully local monotone coefficients perturbed by a multiplicative Wiener noise. This class of SPDEs encompasses various fluid dynamic models and also includes quasi-linear SPDEs, the convection–diffusion equation, the Cahn–Hilliard equation, and the two-dimensional liquid crystal model. It has been established that the class of SPDEs in question is well-posed, however, the existence of a unique solution to the associated approximating system cannot be inferred from the solvability of the original system. We employ a Faedo–Galerkin approximation method, compactness arguments, and Prokhorov’s and Skorokhod’s representation theorems to ensure the existence of a <i>probabilistically weak solution</i> for the approximating system. Furthermore, we also demonstrate that the solution is pathwise unique. Moreover, the classical Yamada–Watanabe theorem allows us to conclude the existence of a <i>probabilistically strong solution</i> (analytically weak solution) for the approximating system. Subsequently, we establish the Wong–Zakai approximation result for a class of SPDEs with fully local monotone coefficients. We utilize the Wong–Zakai approximation to establish the topological support of the distribution of solutions to the SPDEs with fully local monotone coefficients. Finally, we explore the physically relevant stochastic fluid dynamics models that are covered by this work’s functional framework.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141063272","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

On the Mass Transfer in the 3D Pitaevskii Model 论三维皮塔耶夫斯基模型中的质量传递

IF 1.2 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-05-14 DOI: 10.1007/s00021-024-00877-0

Juhi Jang, Pranava Chaitanya Jayanti, Igor Kukavica

引用次数: 0

A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations 基于纳维-斯托克斯方程 Grad-Div 稳定的并行有限元离散化算法

IF 1.2 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-05-04 DOI: 10.1007/s00021-024-00868-1

Yueqiang Shang, Jiali Zhu, Bo Zheng

{"title":"A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations","authors":"Yueqiang Shang, Jiali Zhu, Bo Zheng","doi":"10.1007/s00021-024-00868-1","DOIUrl":"10.1007/s00021-024-00868-1","url":null,"abstract":"<div><p>We present and study a parallel grad-div stabilized finite element discretization algorithm based on entire-overlapping domain decomposition for the numerical simulation of Navier–Stokes equations. The algorithm is easy to implement on top of existing sequential software, in which each subproblem used to calculate a local solution in its designated subregion is actually a global problem with vast of degrees of freedom coming from its own subregion, and hence, can be solved independently with other subproblems. We derive error bounds of the approximate solution by employing the technical tool of local a priori estimate, and investigate the effect of grad-div stabilization term on the approximation solutions. Numerical comparisons, with both inf-sup stable and unstable mixed finite elements pairs for the velocity and pressure, show that our present algorithm has an amazing superiority to its counterpart without stabilization in the sense that accuracy of the approximate velocities could be improved by two orders of magnitude when the viscosity <span>(nu )</span> is small. While compared with the usual standard serial grad-div stabilized finite element method, our algorithm saves lots of CPU time in computing a solution with comparable accuracy.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140882088","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 of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains 三维有界域中带有滑动边界条件的可压缩纳维-斯托克斯-泊松方程经典解的全局良好假设性

IF 1.2 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2024-05-02 DOI: 10.1007/s00021-024-00875-2

Yazhou Chen, Bin Huang, Xiaoding Shi

引用次数: 0