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CONSTRUCTION AND QUALITATIVE BEHAVIOR OF SOLUTIONS FOR A MODEL EQUATION FOR FLUID FLOW IN A PIPE 被引量:1

CONSTRUCTION AND QUALITATIVE BEHAVIOR OF SOLUTIONS FOR A MODEL EQUATION FOR FLUID FLOW IN A PIPE
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摘要 This paper investigates the following model equation:where A>0 and p'(v)<0.It proves that the equation admits a unique global discontinuous solution on in a class of piecewise continuous and piecewise smooth drictiom with a backward rarefaction wave and a forward shock wave under certain conditions. This paper investigates the following model equation:where A>0 and p'(v)<0.It proves that the equation admits a unique global discontinuous solution on in a class of piecewise continuous and piecewise smooth drictiom with a backward rarefaction wave and a forward shock wave under certain conditions.
作者 李玉鉴 肖玲
出处 《Acta Mathematica Scientia》 SCIE CSCD 1996年第1期51-59,共9页 数学物理学报(B辑英文版)
关键词 CONSTRUCTION qualitative behavior rarefaction wave shock wave. Construction, qualitative behavior,rarefaction wave,shock wave.
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