Concepedia

Strong Solutions of the Navier–Stokes System in Lipschitz Bounded Domains

Paul Deuring, Wolf von Wahl

Mathematische Nachrichten · 1995 · 46 citations · 24 references

DOI

Concepts

Abstract

Abstract Let Ω be a bounded domain in ℝ 3 with a connected Lipschitz boundary ∂Ω. Consider the Navier‐Stokes system.

References

24

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1959 · 3.8K citations

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<i>The Mathematical Theory of Viscous Incompressible Flow</i>

O. A. Ladyzhenskaya, Richard A. Silverman, Jacob T. Schwartz et al. · Physics Today · 1964 · 2.9K citations

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On the Navier-Stokes initial value problem. I

Hiroshi Fujita, Tosio Kato · Archive for Rational Mechanics and Analysis · 1964 · 1.3K citations

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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1964 · 1.3K citations

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Boundary Integral Operators on Lipschitz Domains: Elementary Results

Martin Costabel · SIAM Journal on Mathematical Analysis · 1988 · 898 citations

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