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March  2008, 7(2): 277-291. doi: 10.3934/cpaa.2008.7.277

Isentropic approximation of the steady Euler system in two space dimensions

Chong Liu 1, and  Yongqian Zhang 1,

1. 

School of Mathematical Sciences and Institute of Mathematics, Fudan University, Shanghai 200433, China, China

Received  March 2007 Revised  August 2007 Published  December 2007

On the assumption that the initial data are isentropic and of sufficiently small total variation, we can prove that the difference between the solutions of the steady full Euler system and steady isentropic Euler system with the same initial data can be bounded by the cube of the total variation of the initial perturbation.
Keywords: Isentropic approximation, semigroup method., steady Euler system.
Mathematics Subject Classification: Primary: 76N15, 76L05; Secondary: 35L65, 35L6.
Citation: Chong Liu, Yongqian Zhang. Isentropic approximation of the steady Euler system in two space dimensions. Communications on Pure & Applied Analysis, 2008, 7 (2) : 277-291. doi: 10.3934/cpaa.2008.7.277
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