ON THE EXISTENCE AND UNIQUENESS OF A SOLUTION FOR 2ND OR 3RD GRADE FLUIDS

Authors
BRESCH D LEMOINE J
Citation
D. Bresch et J. Lemoine, ON THE EXISTENCE AND UNIQUENESS OF A SOLUTION FOR 2ND OR 3RD GRADE FLUIDS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(5), 1997, pp. 605-610
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
324
Issue
5
Year of publication
1997
Pages
605 - 610
Database
ISI
SICI code
0764-4442(1997)324:5<605:OTEAUO>2.0.ZU;2-D
Abstract
In the nonstationary case for the third grade fluids and in the statio nary case for the second grade fluids, we present some existence and u niqueness results. We obtain the results in L-r, where r > 3 is a real number for open sets of class only C-2. The proof is Based on a fixed point method By introducing a new uncoupled system.