|
|
| |
| Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity |
| |
Citation： |
Guilong GUI,Ping ZHANG.Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity[J].Chinese Annals of Mathematics B,2009,30(5):607~630 |
| Page view： 1920
Net amount： 2300 |
Authors： |
Guilong GUI; Ping ZHANG; |
Foundation： |
the National Natural Science Foundation of China (Nos. 10525101, 10421101), the
973 project of the Ministry of Science and Technology of China and the innovation grant from Chinese
Academy of Sciences. |
|
|
| Abstract： |
Under the assumptions that the initial density $\rho_0$ is close
enough to $1$ and $\rho_0-1\in H^{s+1}(\R^2),$ $u_0\in H^s(\R^2)\cap
\dot{H}^{-\e}(\R^2)$ for $s>2$ and $0<\e<1,$ the authors prove the
global existence and uniqueness of smooth solutions to
the 2-D inhomogeneous Navier-Stokes equations with the viscous
coefficient depending on the density of the fluid. Furthermore, the
$L^2$ decay rate of the velocity field is obtained. |
Keywords： |
Inhomogeneous Navier-Stokes equations, Littlewood-Paley theory,
Global smooth solutions |
Classification： |
35Q30, 76D03 |
|
|
Download PDF Full-Text
|
|
|
|
