数学物理学报(英文版) ›› 1986, Vol. 6 ›› Issue (4): 463-474.

• 论文 • 上一篇    

SOME FUNDAMENTAL CONCEPTS ABOUT SYSTEM OF TWO SPATIAL DIMENSIONAL CONSERVATION LAWS

张同, 陈贵强   

  1. Institute of Mathematics, Academia Sinica, Beijing, China
  • 收稿日期:1985-04-30 出版日期:1986-12-25 发布日期:1986-12-25

SOME FUNDAMENTAL CONCEPTS ABOUT SYSTEM OF TWO SPATIAL DIMENSIONAL CONSERVATION LAWS

Chang Tong, Chen Guiqiang   

  1. Institute of Mathematics, Academia Sinica, Beijing, China
  • Received:1985-04-30 Online:1986-12-25 Published:1986-12-25

摘要: 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.

Abstract: 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.