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SOME FUNDAMENTAL CONCEPTS ABOUT SYSTEM OF TWO SPATIAL DIMENSIONAL CONSERVATION LAWS
Chang Tong, Chen Guiqiang
Acta mathematica scientia,Series B. 1986, 6 (4):
463-474.
Lax, Gel'fand, Oleinik and others have established some fundamental concepts about system of one spatial dimensional conservation laws, such as hyperbolicity, genuine nonlinearity (convexity), linear degenerate, Rankine-Hugoniot condition, stability condition (entropy condition), stability condition(E) and so on. We extend these concepts to system of two spatial dimension case in this note It is a necessary preliminary for advance study.
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