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Convergence of compressible Euler-Poisson equations to incompressible type Euler equations. (English) Zbl 1072.35139

The authors study the convergence of time-dependent Euler-Poison equations to incompressible type Euler equations via the quasi-neutral limit. The local existence of smooth solutions to the limit equations is proved by an interactive scheme. The method of asymptotic expansion and the symmetric hyperbolic property of the systems are used to justify the convergence of the limit.

MSC:

35Q05 Euler-Poisson-Darboux equations
35Q35 PDEs in connection with fluid mechanics
76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids
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