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The existence and uniqueness of solutions of equations for ideal compressible polytropic fluids. (English) Zbl 0859.35086

Summary: 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.

MSC:

35Q05 Euler-Poisson-Darboux equations
35Q35 PDEs in connection with fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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