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Journal of Mathematical Fluid Mechanics最新文献

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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 1.3 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
{"title":"Existence of Local Solutions to a Free Boundary Problem for Incompressible Viscous Magnetohydrodynamics","authors":"Piotr Kacprzyk, Wojciech M. Zaja̧czkowski","doi":"10.1007/s00021-024-00879-y","DOIUrl":"https://doi.org/10.1007/s00021-024-00879-y","url":null,"abstract":"<p>We consider the motion of an incompressible magnetohydrodynamics with resistivity in a domain bounded by a free surface which is coupled through the free surface with an electromagnetic field generated by a magnetic field prescribed on an exterior fixed boundary. On the free surface, transmission conditions for the electromagnetic field are imposed. As transmission condition we assume jumps of tangent components of magnetic and electric fields on the free surface. We prove local existence of solutions such that velocity and magnetic fields belong to <span>(H^{2+alpha ,1+alpha /2})</span>, <span>(alpha &gt;5/8)</span>.</p>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141549165","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
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 1.3 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
{"title":"A Priori Error Analysis and Finite Element Approximations for a Coupled Model Under Nonlinear Slip Boundary Conditions","authors":"Dania Ati, Rahma Agroum, Jonas Koko","doi":"10.1007/s00021-024-00882-3","DOIUrl":"https://doi.org/10.1007/s00021-024-00882-3","url":null,"abstract":"","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141361955","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
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 1.3 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
{"title":"A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations","authors":"Vesa Julin, Domenico Angelo La Manna","doi":"10.1007/s00021-024-00883-2","DOIUrl":"https://doi.org/10.1007/s00021-024-00883-2","url":null,"abstract":"","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141375105","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 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 1.3 3区 数学
Journal of Mathematical Fluid Mechanics Pub Date : 2024-06-05 DOI: 10.1007/s00021-024-00881-4
R. Benabidallah, F. Ebobisse
{"title":"On the Steady Flows of Viscous Compressible Magnetohydrodynamic Equations in an Infinite Horizontal Layer","authors":"R. Benabidallah, F. Ebobisse","doi":"10.1007/s00021-024-00881-4","DOIUrl":"https://doi.org/10.1007/s00021-024-00881-4","url":null,"abstract":"","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141381761","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
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 1.3 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
{"title":"The Optimal $${{varvec{L}}^2}$$ Decay Rate of the Velocity for the General FENE Dumbbell Model","authors":"Zhaonan Luo, Wei Luo, Zhaoyang Yin","doi":"10.1007/s00021-024-00880-5","DOIUrl":"https://doi.org/10.1007/s00021-024-00880-5","url":null,"abstract":"","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141105303","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
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 1.3 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
{"title":"Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity","authors":"Qin Duan, Xiangdi Huang","doi":"10.1007/s00021-024-00871-6","DOIUrl":"https://doi.org/10.1007/s00021-024-00871-6","url":null,"abstract":"<p>In this paper, we consider the 3-D compressible isentropic Navier–Stokes equations with constant shear viscosity <span>(mu )</span> and the bulk one <span>(lambda =brho ^beta )</span>, here <i>b</i> is a positive constant, <span>(beta ge 0)</span>. This model was first introduced and well studied by Vaigant and Kazhikhov (Sib Math J 36(6):1283–1316, 1995) in 2D domain. In this paper, under the assumption that <span>(gamma &gt;1)</span>, the local existence of weak solutions with higher regularity for the 3D periodic domain is established in the presence of vacuum without any smallness on the initial data. This generalize the previous paper (Desjardins in Commun Partial Differ Equ 22(5):977–1008, 1997; Huang and Yan in J Math Phys 62(11):111504, 2021) to variable viscosity coefficients. Also this is the first result concerning the local weak solution with high regularity for the Kazhikhov model in 3D case.\u0000</p>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141064015","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
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 1.3 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":"https://doi.org/10.1007/s00021-024-00878-z","url":null,"abstract":"<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>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"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 1.3 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
{"title":"On the Mass Transfer in the 3D Pitaevskii Model","authors":"Juhi Jang, Pranava Chaitanya Jayanti, Igor Kukavica","doi":"10.1007/s00021-024-00877-0","DOIUrl":"https://doi.org/10.1007/s00021-024-00877-0","url":null,"abstract":"<p>We examine a micro-scale model of superfluidity derived by Pitaevskii (Sov. Phys. JETP 8:282-287, 1959) which describes the interacting dynamics between superfluid He-4 and its normal fluid phase. This system consists of the nonlinear Schrödinger equation and the incompressible, inhomogeneous Navier-Stokes equations, coupled to each other via a bidirectional nonlinear relaxation mechanism. The coupling permits mass/momentum/energy transfer between the phases, and accounts for the conversion of superfluid into normal fluid. We prove the existence of global weak solutions in <span>({mathbb {T}}^3)</span> for a power-type nonlinearity, beginning from small initial data. The main challenge is to control the inter-phase mass transfer in order to ensure the strict positivity of the normal fluid density, while obtaining time-independent a priori estimates.</p>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141063271","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
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 1.3 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":"https://doi.org/10.1007/s00021-024-00868-1","url":null,"abstract":"<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>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"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 1.3 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
{"title":"Global Well-Posedness of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains","authors":"Yazhou Chen, Bin Huang, Xiaoding Shi","doi":"10.1007/s00021-024-00875-2","DOIUrl":"https://doi.org/10.1007/s00021-024-00875-2","url":null,"abstract":"<p>We consider the initial-boundary-value problem of the isentropic compressible Navier–Stokes–Poisson equations subject to large and non-flat doping profile in 3D bounded domain with slip boundary condition and vacuum. The global well-posedness of classical solution is established with small initial energy but possibly large oscillations and vacuum. The steady state (except velocity) and the doping profile are allowed to be of large variation.</p>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140836157","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
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