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【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.,
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【期刊论文】Quasineutral Limit of Euler-Poisson System with and without Viscosity
王术, Shu Wang* #
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS Vol. 29, Nos. 3 & 4, pp. 419-456, 2004,-0001,():
-1年11月30日
The quasineutral limit of Euler-Poisson system with and without viscosity in plasma physics in the torusΤd, d ≥ 1 is studied. That quasineutral regimes are the incompressible Euler or Navier-Stokes equations is proven. In the mean time, long-time existence for large amplitude smooth solutions of Euler-Poisson system in torus Τd, d ≥ 1, with or without viscosity as the Debye length λ→ 0 is also obtained provided that the smooth solution of incompressible Euler or Navier-Stokes equations exists globally for nearby initial data. In particular, the existence of large amplitude smooth solutions of Euler-Poisson system in torus Τ2 with or without viscosity and with sufficiently small Debye length is obtained on any arbitrary time interval. The proof of these results is based on a straightforward extension of the classical energy method, the modulated energy method, the iteration techniques and the standard compactness argument.
Euler-Poisson system, Viscosity, Incompressible Euler equations, Incompressible Navier-Stokes equations, Quasineutral limit.,
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【期刊论文】CONVERGENCE OF NONLINEAR SCHR
王术, Ansgar J
,-0001,():
-1年11月30日
The combined semi-classical and quasineutral limit in the bipolar defocusing nonlinear Schr
Bipolar defocusing nonlinear Schr
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【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
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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【期刊论文】Finite traveling waves for a nonlinear degenerate reaction-diffusion system☆
王术, Shu Wang*
Nonlinear Analysis 41(2000)15-31,-0001,():
-1年11月30日
Finite traveling waves, Degenerate reactiond-iffusion system, Schauder', s fixed point theorem, Global solution, Blow up, Upper and lower solutions method
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