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An inviscid flow with compact support in space-time

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Abstract

There exists a nonzero weak solution to the Euler equations of time-dependent incompressible fluid flow in the plane such that this solution has compact support in space-time.

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References

  1. Scheffer, V. Regularity and irregularity of solutions to nonlinear second order elliptic systems of partial differential equations and inequalities. Doctoral dissertation, Princeton University, 1974.

  2. Scheffer, V. Nearly one dimensional singularities of solutions to the Navier-Stokes inequality.Commun. Math. Phys. 110, 525–551 (1987).

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ

    Vladimir Scheffer

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  1. Vladimir Scheffer
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Scheffer, V. An inviscid flow with compact support in space-time. J Geom Anal 3, 343–401 (1993). https://doi.org/10.1007/BF02921318

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  • DOI: https://doi.org/10.1007/BF02921318

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