THE POINTWISE ESTIMATES OF DIFFUSION WAVE FOR THE NAVIER-STOKES SYSTEMS IN ODD MULTIDIMENSIONS

Authors
LIU TP WANG W
Citation
Tp. Liu et W. Wang, THE POINTWISE ESTIMATES OF DIFFUSION WAVE FOR THE NAVIER-STOKES SYSTEMS IN ODD MULTIDIMENSIONS, Communications in Mathematical Physics, 196(1), 1998, pp. 145-173
Citations number
7
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
196
Issue
1
Year of publication
1998
Pages
145 - 173
Database
ISI
SICI code
0010-3616(1998)196:1<145:TPEODW>2.0.ZU;2-W
Abstract
We study the dissipation of solutions of the isentropic Navier-Stokes equations in odd multi-dimensions. Pointwise estimates of the time-asy mptotic shape of the solutions are obtained and shown to exhibit the g eneralized Huygen's principle. Our approach is based on the detailed a nalysis of the Green function of the linearized system. This is used t o study the coupling of nonlinear diffusion waves.