Global smooth solutions and large time behavior of the one-dimensional Navier-Stokes equations

Authors
Tao, P
Citation
P. Tao, Global smooth solutions and large time behavior of the one-dimensional Navier-Stokes equations, J MATH ANAL, 235(2), 1999, pp. 395-417
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
235
Issue
2
Year of publication
1999
Pages
395 - 417
Database
ISI
SICI code
0022-247X(19990715)235:2<395:GSSALT>2.0.ZU;2-1
Abstract
The system of balance laws of mass, momentum and energy for a viscous, heat -conductive, one-dimensional real gas (Navier-Stokes equations) is consider ed. The existence of globally defined smooth solution to an initial boundar y value problem is established. Because of the boundary conditions' effect, vacuum will be developed as time tends to infinity. (C) 1999 Academic Pres s.