SHEN Zhen. On the Well Posedness of Initial Value Problem for Euler Equations of Incompressible Inviscid Fluid(Ⅱ)[J]. Applied Mathematics and Mechanics, 2003, 24(5): 493-504.
Citation: SHEN Zhen. On the Well Posedness of Initial Value Problem for Euler Equations of Incompressible Inviscid Fluid(Ⅱ)[J]. Applied Mathematics and Mechanics, 2003, 24(5): 493-504.

On the Well Posedness of Initial Value Problem for Euler Equations of Incompressible Inviscid Fluid(Ⅱ)

  • Received Date: 2001-11-27
  • Rev Recd Date: 2002-12-28
  • Publish Date: 2003-05-15
  • The solvability of the Euler equations about imcompressible inviscid flow based on the stratification theory is discussed.And the conditions for the existence of formal solutions and the methods are presented for calculating all kinds of ill-posed initial value problems.Two examples are given as the evidence that the initial problems at the hyper surface does not exist any unique solution.
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