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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

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.，

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2005年03月29日

【期刊论文】Quasineutral limit of a standard drift diflusion model for semiconductors

王术， XIAO Ling (Hsiao Ling肖玲)， Peter A. Markowich & WANG Shu (王术)

SCIENCE IN CHINA (Senes A) 45, 1，-0001，（）：

-1年11月30日

摘要

The limit of vanishing Debye length (charge neutral limit) in a nonlinear bipolar driftdiffusion model for semiconductors without pn-junction (i.e. without a bipolar background charge) is studled. The quasineutral limit (zero-Debye-length limit) is performed rigorously by using the weak compactness argument and the so-called entropy functional which yields appropriate unifOrm estimates.

quasineutral limit,， nonlinear drift-diffusion equations,， entropy method.，

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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

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2005年03月29日

【期刊论文】Reaction diffusion systems with nonlinear boundary conditions*

王术， Shu Wang， Mingxin Wang and Chunhong Xie

Z. angew. Math. Phys. 48(1997)994-1001，-0001，（）：

-1年11月30日

摘要

This paper deals with the existence and nonexistence of global positive solutions of reaction di usion systems with nonlinear boundary conditions. Necessary and su cient conditions on the global existence of all positive solutions are obtained.

Reaction diffusion systems,， nonlinear boundary conditions,， global solutions,， nite time blow-up.，

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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.，

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