中国科技论文在线

上传时间

2005年03月29日

【期刊论文】Doubly Nonlinear Degenerate Parabolic Systemswith Coupled Nonlinear Boundary Conditions1

王术， Shu Wang

Journal of Differential Equations 182, 431-469 (2002)，-0001，（）：

-1年11月30日

In this paper, we study the global existence and the global nonexistence of doubly nonlinear degenerate parabolic systems with nonlinear boundary conditions. We first prove a local existence result by the regularization method. Next, we construct a weak comparison principle. Then we discuss the large time behavior of solutions by using a modified upper and lower solution methods and constructing various upper and lower solutions. Necessary and sufficient conditions on the global existence of all positive (weak) solutions are obtained.

doubly nonlinear degenerate parabolic systems， nonlinear boundary conditions， non-Newtonian flow， global solution， blow up in finite time.，

54浏览
0点赞
0收藏
0分享
192下载
0

引用

上传时间

2005年03月29日

【期刊论文】The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors

王术， Ling Hsiao， a，， Peter A. Markowich， b， and Shu Wang a， *

J. Differential Equations 192(2003)111-133，-0001，（）：

-1年11月30日

摘要

In this paper we study the asymptotic behavior of globally smooth solutions of the Cauchy problem for the multidimensional isentropic hydrodynamic model for semiconductors in Rd We prove that smooth solutions (close to equilibrium) of the problem converge to a stationary solution exponentially fast as t-→＋∞.

Multidimensional hydrodynamic model， Semiconductors， Asymptotic behavior， Globally smooth solution

57浏览
0点赞
0收藏
0分享
169下载
0

引用

上传时间

2005年03月29日

【期刊论文】A nonlinear degenerate diffusion equation not in divergence form

王术， Wang Shu， Wang Mingxin and Xie Chun-hong

Z. angew. Math. Phys. 51(2000)149-159，-0001，（）：

-1年11月30日

摘要

We consider positive solution of the nonlinear degenerate diusion equation ut=up (△u+u) with Dirichlet boundary condition and p>1. It is proved that all positive solutions exist globally if and only if λ1≥1, where λ1 is the rst eigenvalue of −△on Ω with homogeneous Dirichlet boundary condition.

Degenerate diffusion equation,， global solution,， blow up,， upper and lower solutions method.，

42浏览
0点赞
0收藏
0分享
168下载
0

引用

上传时间

2005年03月29日

【期刊论文】Quasilinear Reaction]Diffusion Systems with Nonlinear Boundary Conditions*

王术， Mingxin Wang and Shu Wang

Journal of Mathematical Analysis and Applications 231, 21-33 (1999)，-0001，（）：

-1年11月30日

摘要

This paper deals with the existence and nonexistence of global positive solutions of quasilinear reaction diffusion systems with nonlinear boundary conditions. Necessary and sufficient conditions on the global existence of all positive solutions are obtained.

quasilinear reaction diffusion systems,， nonlinear boundary conditions,， global solutions,， finite time blow-up.，

39浏览
0点赞
0收藏
0分享
166下载
0

引用

上传时间

2005年03月29日

【期刊论文】ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE FULL 1D HYDRODYNAMIC MODEL FOR SEMICONDUCTORS

王术， LING HSIAO*and SHU WANG†， †shu.wang

Mathematical Models and Methods in Applied Sciences Vol. 12, No.6 (2002) 777-796，-0001，（）：

-1年11月30日

摘要

In this paper, we study the asymptotic behavior of smooth solutions to the initial boundary value problem for the full one-dimensional hydrodynamic model for semiconductors. We prove that the solution to the problem converges to the unique stationary solution time asymptotically exponentially fast.

Full hydrodynamic model， semiconductors， asymptotic behavior,， global smooth solutions.，

57浏览
0点赞
0收藏
0分享
149下载
0

引用