We study the time-asymptotic behavior of solutions to the general Navier-Stokes equations in odd multi-dimensions. Through the pointwise estimates of the Green’s function of the linearized system, we obtain explicit expressions of the time-asymptotic behavior of the solutions and exhibit the weak Huygen’s principle.
Publié le : 2005-09-14
Classification:
Compressible flow,
conservation laws,
general Navier-Stokes equation,
multi-dimensions,
Green’s function,
pointwise estimate,
35L65,
76N15
@article{1175797446,
author = {Wang, Weike},
title = {The Pointwise Estimates of Solutions for General Navier-Stokes Systems in Odd Multi-Dimensions},
journal = {Methods Appl. Anal.},
volume = {12},
number = {1},
year = {2005},
pages = { 279-290},
language = {en},
url = {http://dml.mathdoc.fr/item/1175797446}
}
Wang, Weike. The Pointwise Estimates of Solutions for General Navier-Stokes Systems in Odd Multi-Dimensions. Methods Appl. Anal., Tome 12 (2005) no. 1, pp. 279-290. http://gdmltest.u-ga.fr/item/1175797446/