About lifespan of regular solutions of equations related to viscoelastic fluids

Authors
Chemin, JY Masmoudi, N
Citation
Jy. Chemin et N. Masmoudi, About lifespan of regular solutions of equations related to viscoelastic fluids, SIAM J MATH, 33(1), 2001, pp. 84-112
Citations number
21
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN journal
00361410 → ACNP
Volume
33
Issue
1
Year of publication
2001
Pages
84 - 112
Database
ISI
SICI code
0036-1410(20010614)33:1<84:ALORSO>2.0.ZU;2-Q
Abstract
We prove existence and uniqueness of local and global solutions for a syste m of equations concerning an incompressible viscoelastic fluid of the Oldro yd type. We also show a new a priori estimate for the two-dimensional Navie r Stokes system and a losing estimate for the transport equations that allo w us to give a sufficient condition of non-breakdown.