A NOTE ON THE EVOLUTION NAVIER-STOKES EQUATIONS WITH A PRESSURE-DEPENDENT VISCOSITY

Authors
GAZZOLA F
Citation
F. Gazzola, A NOTE ON THE EVOLUTION NAVIER-STOKES EQUATIONS WITH A PRESSURE-DEPENDENT VISCOSITY, Zeitschrift fur angewandte Mathematik und Physik, 48(5), 1997, pp. 760-773
Citations number
16
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Physik → ACNP
ISSN journal
00442275
Volume
48
Issue
5
Year of publication
1997
Pages
760 - 773
Database
ISI
SICI code
0044-2275(1997)48:5<760:ANOTEN>2.0.ZU;2-4
Abstract
We consider Navier-Stokes equations with a pressure-dependent viscosit y. Under suitable assumptions on the external force and on the initial data, we prove that the Cauchy-Dirichlet problem for the evolution eq uations admits a unique solution.