scispace - formally typeset
Open AccessJournal ArticleDOI

An Lq-approach to Stokes and Navier-Stokes equations in general domains

Reinhard Farwig, +2 more
- 01 Jan 2005 - 
- Vol. 195, Iss: 1, pp 21-53
About: 
This article is published in Acta Mathematica.The article was published on 2005-01-01 and is currently open access. It has received 162 citations till now. The article focuses on the topics: Navier–Stokes equations.

read more

Content maybe subject to copyright    Report

Citations
More filters
DOI

Hermann Sohr: The Navier–Stokes Equations ——An Elementary Functional Analytic Approach, Birkhäuser Adv. Texts Basler Lehrbucher, Birkhäuser, 2001年，x+367ページ．

靖 谷内

書評 Hermann Sohr : The Navier-Stokes Equations : An Elementary Functional Analytic Approach

靖 谷内
Book

The Three-Dimensional Navier-Stokes Equations: Classical Theory

James C. Robinson, +2 more
TL;DR: A rigorous but accessible introduction to the mathematical theory of the Navier-Stokes equations can be found in this article, which provides self-contained proofs of someof the most significant results in the area.
Journal ArticleDOI

Analyticity of the Stokes semigroup in spaces of bounded functions

Ken Abe, +1 more
- 22 Oct 2013 - 
TL;DR: In this article, the analyticity of the Stokes semigroup with the Dirichlet boundary condition is established in spaces of bounded functions when the domain occupied with fluid is bounded or more generally admissible which admits a special estimate for the Helmholtz decomposition.
Journal ArticleDOI

On the $\mathcal{R}$-Sectoriality and the Initial Boundary Value Problem for the Viscous Compressible Fluid Flow

Yuko Enomoto, +1 more
References
More filters
Book

Partial Differential Equations

Lawrence C. Evans
TL;DR: In this paper, the authors present a theory for linear PDEs: Sobolev spaces Second-order elliptic equations Linear evolution equations, Hamilton-Jacobi equations and systems of conservation laws.
Book

Methods of Modern Mathematical Physics

Michael C. Reed, +1 more
Book

Interpolation Theory, Function Spaces, Differential Operators

Hans Triebel
Book

Navier-Stokes Equations

Roger Temam
TL;DR: Schiff's base dichloroacetamides having the formula OR2 PARALLEL HCCl2-C-N ANGLE R1 in which R1 is selected from the group consisting of alkenyl, alkyl, alkynyl and alkoxyalkyl; and R2 is selected by selecting R2 from the groups consisting of lower alkylimino, cyclohexenyl-1 and lower alkynyl substituted cycloenenyl -1 as discussed by the authors.
Book

Functional Analysis And Semi-Groups

Einar Hille, +1 more
TL;DR: The theory of semi-groups has been studied extensively in the literature, see as discussed by the authors for a survey of some of the main applications of semi groups in the context of functional analysis.