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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie


IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2018: 1.55

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1435-5345
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Volume 2006, Issue 596

Issues

L p-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle

Matthias Geissert
  • Darmstadt; Technische Universität Darmstadt, Fachbereich Mathematik, Schlossgartenstr. 7, 64289 Darmstadt, Germany.
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/ Horst Heck
  • Darmstadt; Technische Universität Darmstadt, Fachbereich Mathematik, Schlossgartenstr. 7, 64289 Darmstadt, Germany.
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/ Matthias Hieber
  • Darmstadt; Technische Universität Darmstadt, Fachbereich Mathematik, Schlossgartenstr. 7, 64289 Darmstadt, Germany.
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Published Online: 2006-08-16 | DOI: https://doi.org/10.1515/CRELLE.2006.051

Abstract

Consider the equations of Navier-Stokes in the exterior of a rotating domain. It is shown that, after rewriting the problem on a fixed domain Ω, the solution of the corresponding Stokes equation is governed by a C 0-semigroup on L σ p(Ω), 1 < p < ∞, with generator . Moreover, for and initial data u 0L σ p(Ω), we prove the existence of a unique local mild solution to the Navier-Stokes problem.

About the article

Received: 2004-10-20

Published Online: 2006-08-16

Published in Print: 2006-07-01


Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2006, Issue 596, Pages 45–62, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/CRELLE.2006.051.

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