Generalized Riemann Problem for Isentropic Flow with Dissipative Term

Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (2): 185-193.

Generalized Riemann Problem for Isentropic Flow with Dissipative Term

1. Department of Mathematics, North China Institute of Water Conservancy and Hydroelectric Power2. Department of Computer, Shangqiu Vocational and Technical College

Received:2005-05-10 Online:2009-06-30 Published:2023-07-04
About author: LIU Fa-gui(1965-), male, native of Zhengzhou, Henan, a professor of North China Institute of Water Conservancy and Hydroelectric Power, Ph.D., engages in differential equations.
Supported by:
Supported by the NSF of Educational Department of Henan Province(200511051700)； Supported by the NSF of Henan Province(200510078005)； Supported by the NSF of China(10571024)；

Abstract

Abstract: The paper concerns with generalized Riemann problem for isentropic flow with dissipation, and show that if the similarity solution to Riemann problem is composed of a backward centered rarefaction wave and a forward centered rarefaction wave, then general-ized Riemann problem admits a unique global solution on t ≥ 0. This solution is composed of backward centered wave and a forward centered wave with the origin as their center and then continuous for t > 0.

Key words: generalized Riemann problem, centered rarefaction wave, isentropic flow, dissipation

CLC Number:

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LIU Fa-gui, YAN Jie-sheng. Generalized Riemann Problem for Isentropic Flow with Dissipative Term[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 185-193.

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Generalized Riemann Problem for Isentropic Flow with Dissipative Term

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