论一类边界数据不均匀的可压缩非牛顿流体的全局存在性

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL Russian Journal of Mathematical Physics Pub Date : 2024-06-28 DOI:10.1134/S1061920824020109

J. Muhammad

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引用次数: 0

摘要

摘要本文主要研究三维有界域中一类可压缩非牛顿流体的弱解的全局存在性。更确切地说，我们考虑了具有绝热常数（\gamma>\frac{3}{2}\）的等熵可压缩非牛顿流体。我们通过构建近似方案、能量估计和弱收敛方法，研究了具有非均质 Dirichlet 边界条件的初始边界值问题的全局存在性。

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On the Global Existence for a Class of Compressible Non-Newtonian Fluids with Inhomogeneous Boundary Data

This paper is concerned to the study of global existence of weak solutions to a class of compressible non-Newtonian fluids in three-dimensional bounded domain. More precisely, we consider an isentropic compressible non-Newtonian fluid with adiabatic constant \(\gamma>\frac{3}{2}\). We study the global existence of an initial boundary value problem with nonhomogeneous Dirichlet boundary conditions by constructing an approximation scheme, energy estimates, and a weak convergence method.

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.