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

Authors
Pang, T
Citation
T. Pang, Global smooth solution and large time behavior of the one-dimensional Navier-Stokes equations, J MATH ANAL, 236(1), 1999, pp. 148-170
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
236
Issue
1
Year of publication
1999
Pages
148 - 170
Database
ISI
SICI code
0022-247X(19990801)236:1<148:GSSALT>2.0.ZU;2-L
Abstract
The system of balance laws of mass, momentum, and energy for a viscous, hea t-conductive, one-dimensional real gas (Navier-Stokes equations) is conside red. The existence of globally defined smooth solution to an initial bounda ry value problem is established. Because of the boundary conditions' effect , vacuum is developed as time tends to infinity. (C) 1999 Academic Press.