Uniqueness of mild solutions of the Navier-Stokes equation and maximal L-P-regularity

Authors
Monniaux, S
Citation
S. Monniaux, Uniqueness of mild solutions of the Navier-Stokes equation and maximal L-P-regularity, CR AC S I, 328(8), 1999, pp. 663-668
Citations number
9
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
328
Issue
8
Year of publication
1999
Pages
663 - 668
Database
ISI
SICI code
0764-4442(19990415)328:8<663:UOMSOT>2.0.ZU;2-P
Abstract
In this Note, we give a new proof of the uniqueness of mild solutions of th e Navier-Stokes equation in C([0, T); (L-3(R-3))(3)). Th,,ain tool of the p roof is the maximal LP-regularity of the Laplacian in (L-3(R-3))(3). (C) Ac ademie des Sciences/Elsevier, Paris.