Initial values of solutions of the Navier-Stokes equations

Calderón, Calixto P.

doi:10.1090/S0002-9939-1993-1116254-9

Initial values of solutions of the Navier-Stokes equations
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Proc. Amer. Math. Soc. 117 (1993), 761-766 Request permission

Abstract:

This paper considers weak solutions to the Navier-Stokes equations in the sense considered in previous papers of the author and of Fabes, Jones, and Rivière. Results concerning pointwise a.e. convergence of the solutions to the initial values are established. The initial values that are considered here are divergence free vector functions belonging to ${L^p}({R^n})$, for $p$ greater than or equal to the dimension $n$.

References

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