Initial values of solutions of the Navier-Stokes equations-Reference-Cited by-同舟云学术

Initial values of solutions of the Navier-Stokes equations

Published:1993 Issue:3 Volume:117 Page:761-766
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Calderón Calixto P.

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 ) {L^p}({R^n}) , for p p greater than or equal to the dimension n n .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-117-03/S0002-9939-1993-1116254-9/S0002-9939-1993-1116254-9.pdf

Reference5 articles.

1. The space 𝐿^{𝑝}, with mixed norm;Benedek, A.;Duke Math. J.,1961

2. Existence of weak solutions for the Navier-Stokes equations with initial data in 𝐿^{𝑝};Calderón, Calixto P.;Trans. Amer. Math. Soc.,1990

3. Addendum to the paper: “Existence of weak solutions for the Navier-Stokes equations with initial data in 𝐿^{𝑝}” [Trans. Amer. Math. Soc. 318 (1990), no. 1, 179–200; MR0968416 (90k:35199)];Calderón, Calixto P.;Trans. Amer. Math. Soc.,1990

4. Singular integrals with mixed homogeneity;Fabes, E. B.;Studia Math.,1966

5. The initial value problem for the Navier-Stokes equations with data in 𝐿^{𝑝};Fabes, E. B.;Arch. Rational Mech. Anal.,1972

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