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The Journal of Geometric Analysis

, Volume 3, Issue 4, pp 343–401 | Cite as

An inviscid flow with compact support in space-time

  • Vladimir Scheffer
Article

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.

Keywords

Euler Equation Compact Support Nonnegative Number Inviscid Flow Lebesgue Dominate Convergence Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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

Copyright information

© Mathematica Josephina, Inc. 1993

Authors and Affiliations

  • Vladimir Scheffer
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew Brunswick

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