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On the irrotational approximation to steady supersonic flow
Authors:Yongqian Zhang
Institution:(1) School of Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, 200433, P. R. China
Abstract:Under the hypothesis that the initial perturbation has small BV norm, we prove that in any bounded domain the L1 norm of the difference between solutions to the isentropic Euler system of steady supersonic flow and the system of steady irrotational supersonic flow with the same initial data can be bounded by the cube of the total variation of the initial perturbation.
Keywords:Primary: 76N15  76L05  Secondary: 35L65  35L67
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