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On the Euler flow in ℝ2

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Abstract

We give a global existence and uniqueness theorem for the Euler flow in ℝ2 for suitable initial velocity fields, possibly diverging at infinity.

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References

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Authors and Affiliations

  1. Dipartimento di Matematica Pura ed Applicata, Università dell'Aquila, 67100, L'Aquila, Italy

    D. Benedetto, C. Marchioro & M. Pulvirenti

  2. Dipartimento di Matematica, Università di Roma “La Sapienza”, 00185, Roma

    D. Benedetto, C. Marchioro & M. Pulvirenti

Authors
  1. D. Benedetto
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  2. C. Marchioro
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  3. M. Pulvirenti
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Communicated by L. Arkeryd

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Benedetto, D., Marchioro, C. & Pulvirenti, M. On the Euler flow in ℝ2 . Arch. Rational Mech. Anal. 123, 377–386 (1993). https://doi.org/10.1007/BF00375585

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  • DOI: https://doi.org/10.1007/BF00375585

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