GLOBAL EXISTENCE OF SOLUTIONS TO REACTION-HYPERBOLIC SYSTEMS IN ONE SPACE DIMENSION

被引：4
|
作者：
CARR, DD
机构：
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1995年 / 26卷 / 02期
关键词：
MATERIAL TRANSPORT; ENERGY NORMS; CHEMICAL KINETICS; HYPERBOLIC EQUATIONS; INITIAL VALUE PROBLEM; INITIAL-BOUNDARY VALUE PROBLEM;
D O I：
10.1137/S0036141093248050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Global existence theorems to the initial value and initial-boundary Value problems are proved for a general class of reaction-hyperbolic systems that arise from the transport of chemically reacting materials. The basic technique of proof is to use the geometrical properties of the equilibrium set of the nonlinear source terms to construct L(p) estimates for each p and to pass to the limit to get an a priori L(infinity) bound.
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页码：399 / 414
页数：16
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