THE CONVERGENCE IN WEAK TOPOLOGIES OF APPROXIMATE METHODS FOR AN ISENTROPIC GAS-DYNAMIC SYSTEM

被引：0
|
作者：
TUPCHIYEV, VA
机构：
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 1994年 / 34卷 / 10期
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暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Cauchy problem for an isentropic gas-dynamic system is considered. Theorems on the convergence of the viscosity and smoothing methods are established. It is proved that subsequences of approximate solutions converge to a functional solution of the initial-value Cauchy problem in weak topologies by means of uniform estimates of the approximate solutions in L1(loc) and L2(loc). The discrepancies of the methods are estimated.
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页码：1299 / 1312
页数：14
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