CONSTRUCTION AND QUALITATIVE BEHAVIOR OF SOLUTIONS FOR A MODEL EQUATION FOR FLUID FLOW IN A PIPE

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (1): 51-59.

CONSTRUCTION AND QUALITATIVE BEHAVIOR OF SOLUTIONS FOR A MODEL EQUATION FOR FLUID FLOW IN A PIPE

李玉鉴¹, 肖玲²

1. Dept. of Neurobiology, Inst. of Biophysics, Academia Sinica, Beijing 100101, China;
2. Inst. of Math., Academia Sinica, Beijing 100050, China

收稿日期:1993-11-25 修回日期:1994-12-05 出版日期:1996-03-25 发布日期:1996-03-25

CONSTRUCTION AND QUALITATIVE BEHAVIOR OF SOLUTIONS FOR A MODEL EQUATION FOR FLUID FLOW IN A PIPE

Li Yujian¹, Hsiao Lin²

1. Dept. of Neurobiology, Inst. of Biophysics, Academia Sinica, Beijing 100101, China;
2. Inst. of Math., Academia Sinica, Beijing 100050, China

Received:1993-11-25 Revised:1994-12-05 Online:1996-03-25 Published:1996-03-25

摘要/Abstract

摘要： This paper investigates the following model equation:
v_t-u_x=0 u_t+p(v)_x+Avu=0
where A>0 and p'(v)<0.It proves that the equation admits a unique global discontinuous solution on in t > 0 class of piecewise continuous and piecewise smooth functions with a backward rarefaction wave and a forward shock wave under certain conditions.

关键词: Construction, qualitative behavior, rarefaction wave, shock wave

Abstract: This paper investigates the following model equation:
v_t-u_x=0 u_t+p(v)_x+Avu=0
where A>0 and p'(v)<0.It proves that the equation admits a unique global discontinuous solution on in t > 0 class of piecewise continuous and piecewise smooth functions with a backward rarefaction wave and a forward shock wave under certain conditions.

Key words: Construction, qualitative behavior, rarefaction wave, shock wave

李玉鉴, 肖玲. CONSTRUCTION AND QUALITATIVE BEHAVIOR OF SOLUTIONS FOR A MODEL EQUATION FOR FLUID FLOW IN A PIPE[J]. 数学物理学报(英文版), 1996, 16(1): 51-59.

Li Yujian, Hsiao Lin. CONSTRUCTION AND QUALITATIVE BEHAVIOR OF SOLUTIONS FOR A MODEL EQUATION FOR FLUID FLOW IN A PIPE[J]. Acta mathematica scientia,Series B, 1996, 16(1): 51-59.

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CONSTRUCTION AND QUALITATIVE BEHAVIOR OF SOLUTIONS FOR A MODEL EQUATION FOR FLUID FLOW IN A PIPE

CONSTRUCTION AND QUALITATIVE BEHAVIOR OF SOLUTIONS FOR A MODEL EQUATION FOR FLUID FLOW IN A PIPE

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