ABOUT COMPRESSIBLE VISCOUS FLUID FLOW IN A BOUNDED REGION
ABOUT COMPRESSIBLE VISCOUS FLUID FLOW IN A BOUNDED REGION
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DOI：
10.2140/pjm.1990.143.359
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发表时间：
1990-06
影响因子：
0.6
通讯作者：
Gerhard Ströhmer
中科院分区：
文献类型：
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作者：
Gerhard Ströhmer
本文讨论了一类微分方程在小初值条件下解的存在性及其渐近性态。这类方程包含描述粘性可压缩流体流动的不同模型，即使在磁场的影响下。1.导论.考虑有界区域Ωcl”上的初边值问题，Dirichlet边界条件（n）表示相关的物理变量对空间和时间的依赖性.为了简单起见，我们假设Ω ic Rm+1是一个包含X的所有物理合理值的凸域。该集合可以例如，仅包括密度（通常是X的第（ra +1）部分）和温度的正值。那么我们的方程具有形式（E）X1 + f（X，VX）= L1 xX + g1（x，t）（f = 1，.，m），
This paper deals with the question of existence for all times of the solutions of a certain class of differential equations for small initial values, and with the asymptotic behavior of these solutions. This class of equations contains different models describing the flow of viscous compressible fluids, even under the influence of a magnetic field. 1. Introduction. We consider the initial-boundary value problem on a bounded domain Ωcl" with Dirichlet boundary conditions ( n) representing the relevant physical variables in their dependence on space and time. For the sake of simplicity we assume that Ωi c Rm+1 is a convex domain containing all physically reasonable values of X. The set might, e.g., include only positive values for density (which is usually the (ra +1) st component of X), and temperature. Then our equations have the form (E) X/ + /(X, VX) = LιxX + gι{x, t) (/ = 1, ... , m) ,