THE CAUCHY PROBLEM FOR ONE-DIMENSIONAL FLOW OF A COMPRESSIBLE VISCOUS FLUID: STABILIZATION OF THE SOLUTION

被引：2

作者：

Mujakovic, Nermina ^{[1
]}

Drazic, Ivan ^{[2
]}

机构：

[1] Univ Rijeka, Dept Math, Rijeka 51000, Croatia

[2] Univ Rijeka, Fac Engn, Rijeka 51000, Croatia

来源：

GLASNIK MATEMATICKI | 2011年 / 46卷 / 01期

关键词：

Compressible viscous fluid; the Cauchy problem; stabilization;

D O I：

10.3336/gm.46.1.16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the Cauchy problem for non-stationary 1-D flow of a compressible viscous and heat-conducting fluid, assuming that it is in the thermodynamical sense perfect and polytropic. This problem has a unique generalized solution on R x]0, T[ for each T > 0. Supposing that the initial functions are small perturbations of the constants and using some a priori estimates for the solution independent of T, we prove a stabilization of the solution.

引用

页码：215 / 231

页数：17