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Euler evolution for singular initial data and vortex theory: A global solution

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Abstract

We study the evolution of a two-dimensional, incompressible, ideal fluid in a case in which the vorticity is concentrated in small disjoint regions and we prove, globally in time, its connection with the vortex model.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma I “La Sapienza”, Piazzale A. Moro 2, I-00185, Roma, Italy

    Carlo Marchioro

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  1. Carlo Marchioro
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Additional information

Communicated by J. L. Lebowitz

Research partially supported by CNR and Ministero della Pubblica Istruzione

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Marchioro, C. Euler evolution for singular initial data and vortex theory: A global solution. Commun.Math. Phys. 116, 45–55 (1988). https://doi.org/10.1007/BF01239024

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  • DOI: https://doi.org/10.1007/BF01239024

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