A remark on the Glimm scheme for inhomogeneous hyperbolic systems of balance laws

被引：3
作者：
Christoforou, Cleopatra [1 ]
机构：
[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus
来源：
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2015年 / 12卷 / 04期
关键词：
balance laws; global existence; inhomogeneity; bounded variation; random choice method; VANISHING VISCOSITY; DISSIPATION; UNIQUENESS;
D O I：
10.1142/S021989161550023X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
General hyperbolic systems of balance laws with inhomogeneous flux and source are studied. Global existence of entropy weak solutions to the Cauchy problem is established for small BV data under appropriate assumptions on the decay of the flux and the source with respect to space and time. There is neither a hypothesis about equilibrium solution nor about the dependence of the source on the state vector as previous results have assumed.
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页码：787 / 797
页数：11
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