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【期刊论文】Quasi-neutral Limit of a Nonlinear Drift Diffusion Model for Semiconductors
王术, Ingenuin Gasser, Ling Hsiao, , Peter A. Markowich, and Shu Wang
Journal of Mathematical Analysis and Applications 268, 184199 (2002),-0001,():
-1年11月30日
(zero-Debye-length limit) is determined rigorously by using the so-called entropy functional which yields appropriate uniform estimates.
Quasi-neutral limit, nonlinear drift-diffusion equations, entropy method.,
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【期刊论文】Quasilinear Parabolic Systems with Nonlinear Boundary Conditions
王术, Shu Wang, Mingxin Wang, Chunhong Xie
Journal of Differential Equations 166, 251-265 (2000),-0001,():
-1年11月30日
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【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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【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
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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【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
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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