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2005年03月29日

【期刊论文】Note on Critical Exponents for a System of Heat Equations Coupled in the Boundary Conditions*

王术， Shu Wang and Chunhong Xie， Mingxin Wang

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 218, 313-324 (1998)，-0001，（）：

-1年11月30日

This note establishes the blow up estimates near the blow up time for a system of heat equations coupled in the boundary conditions. Under certain assumptions, the exact rate of blow up is established. We also prove that the only solution with vanishing initial values when pqG1 is the trivial one.

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2005年03月29日

【期刊论文】Parabolic equation of the m-Laplacian with nonlinear boundary condition

王术， WANG Shu，， WANG Mingxin， XIE Chunhong

Chine se Science Bulletin Vol. 43 No.11 June 1998，-0001，（）：

-1年11月30日

摘要

The existence and nonexistence of global positive weak solutions of parabolic equation of the m-Laplician with nonlinear boundary condition are dealt with. The necessary and sufficient conditions on the existence of all global positive weak solutions are obtained.

nonlinear boundary condition,， parabolic equation of m-Laplacian,， global solution,， blow-up.，

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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.，

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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】QUASINEUTRAL LIMIT OF THE DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS WITH GENERAL INITIAL DATA

王术， CHRISTIAN SCHMEISER， SHU WANG

Mathematical Models and Methods in Applied Sciences Vol. 13, No.4 (2003) 463-470，-0001，（）：

-1年11月30日

摘要

The limit for vanishing Debye length (charge neutral limit) in a bipolar drift-diffusion model for semiconductors with general initial data allowing the presence of an initial layer is studied. The quasineutral limit (zero-Debye-length limit) is performed rigorously by using two dierent entropy functionals which yield appropriate uniform estimates. This investigation extends the results of Refs. 7 and 8 for charge neutral initial data where no initial layer occurs

Quasineutral limit， drift-diffusion equations， unbounded initial entropy.，

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