Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (6): 2305-2312.doi: 10.1016/S0252-9602(11)60402-5

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NONEXISTENCE OF PSEUDO-SELF-SIMILAR SOLUTIONS TO INCOMPRESSIBLE EULER EQUATIONS

Maria Schonbek   

  1. Department of Mathematics, University of California, Santa Cruz, CA 95064, USA
  • Received:2011-10-10 Online:2011-11-20 Published:2011-11-20
  • Supported by:

    The work was partially supported by NSF Grant DMS-0900909.

Abstract:

In this paper we study a generalization of self-similar solutions. We show that just as for the solutions to the Navier-Stokes equations these supposedly singular solution reduce to the zero solution.

Key words: Euler equations, pseudo-self-similar solutions

CLC Number: 

  • 35Q35
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