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.

doi:10.1090/S0002-9947-1990-1018571-1

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)]
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Trans. Amer. Math. Soc. 318 (1990), 201-207 Request permission

Abstract:

This paper considers the existence of global weak solutions for the Navier-Stokes equations in the infinite cylinder ${{\mathbf {R}}^n} \times {{\mathbf {R}}_ + }$ with initial data in ${L^r}$, $n \geq 3$, $1 < r < \infty$. An imbedding theorem as well as related initial value problems are also studied, thus completing results in [2].

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Neuere Methoden und Ergebnisse in der Hydrodinamik

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