EMIS ELibM Electronic Journals Journal of Applied Analysis
Vol. 1, No. 1, pp. 47-69 (1995)

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The existence and uniqueness of solutions of equations

K. Kantiem and W.M. Zajaczkowski

K. Kantiem
Institute of Applied 		W.M. Zajaczkowski
Institute of Mathematics
Mathematics and Mechanics
Warsaw University
Banacha 2
02-097 Warsaw, Poland 		Polish Academy of Sciences
{S}niadeckich 8
02-350 Warsaw, Poland

Abstract: The local existence of classical solutions for a characteristic initial boundary value problem for the equations of ideal compressible polytropic fluids is proved. The problem is replaced by a system of well--posed problems and then the method of successive approximations is used.

Keywords: Euler equations, local existence, ideal polytropic compressible fluid

Classification (MSC2000): 35L50, 35L65, 35Q35

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Electronic fulltext finalized on: 28 May 2002. This page was last modified: 21 Dec 2002.

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