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Zbl 0820.35111
Gamblin, Pascal
Incompressible Euler system and analytic microlocal regularity. (Système d'Euler incompressible et régularité microlocale analytique.) (French)
[J] Ann. Inst. Fourier 44, No.5, 1449-1475 (1994). ISSN 0373-0956; ISSN 1777-5310/e

Summary: In this paper we study the analytic or Gevrey regularity of the integral curves of non necessarily Lipschitzian solutions of the Euler equation. We deduce that the analytic or Gevrey wave front set of these solutions is contained in the characteristic set of the linearized operator.

MSC 2000:: *35Q35 Other equations arising in fluid mechanics
35L60 First-order nonlinear hyperbolic equations
76B47 Vortex flows

Keywords: incompressible Euler system; Gevrey regularity; Gevrey wave front

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