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Local Existence and Blow-up Criterion of the Inhomogeneous Euler Equations

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Abstract.

We prove local in time existence and uniqueness of solution of the inhomogeneous Euler equations in the critical Besov spaces. We also obtain the finite time blow-up criterion of the local solution.

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Authors and Affiliations

  1. Department of Mathematics, Seoul National University, Seoul 151-747, Korea. E-mail: dhchae@math.snu.ac.kr, , , , , , KR

    D. Chae

  2. Department of Mathematics, Seoul National University, Seoul 151-747, Korea. E-mail: zhlee@math.snu.ac.kr, , , , , , KR

    J. Lee

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  1. D. Chae
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  2. J. Lee
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Accepted: February 23, 2002

RID="h1"

ID="h1"Communicated by H. Beirão da Veiga

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Chae, D., Lee, J. Local Existence and Blow-up Criterion of the Inhomogeneous Euler Equations. J. math. fluid mech. 5, 144–165 (2003). https://doi.org/10.1007/s00021-003-0073-7

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  • DOI: https://doi.org/10.1007/s00021-003-0073-7

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