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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 25
  3. Acta Mathematica Sinica, English Series : Volume 25, Issue 4, April 2009
  4. The bipolar quantum drift-diffusion model
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 25, Issue 12, December 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 11, November 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 10, October 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 9, September 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 8, August 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 7, July 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 6, June 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 5, May 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 4, April 2009
Fourier analysis with respect to bilinear maps
Irreducible weight modules over the twisted Schrödinger-Virasoro algebra
Sharp criterion of global existence for nonlinear Schrödinger equation with a harmonic potential
General A-P iterative algorithm in shift-invariant spaces
Viscosity approximations by generalized contractions for resolvents of accretive operators in Banach spaces
Multidimensional local central limit theorem of some non-uniformly hyperbolic systems
Convergence of the Cesàro mean for rational orthonormal bases
Parametrization of the quadratic function fields whose divisor class numbers are divisible by three
Semiparametric quantile modelling of hierarchical data
The bipolar quantum drift-diffusion model
Additive preservers of idempotence and Jordan homorphisms between rings of square matrices
Minor and minimum cycle bases of a 3-connected planar graph
On the Blaschke isoparametric hypersurfaces in the unit sphere
On the index of Fredholm pairs of idempotents
Exponential sums over primes formed with coefficients of primitive cusp forms
Acta Mathematica Sinica, English Series : Volume 25, Issue 3, March 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 2, February 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 1, January 2009
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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The bipolar quantum drift-diffusion model

Content Provider SpringerLink
Author Chen, Xiu Qing Chen, Li
Copyright Year 2009
Abstract A fourth order parabolic system, the bipolar quantum drift-diffusion model in semiconductor simulation, with physically motivated Dirichlet-Neumann boundary condition is studied in this paper. By semidiscretization in time and compactness argument, the global existence and semiclassical limit are obtained, in which semiclassical limit describes the relation between quantum and classical drift-diffusion models. Furthermore, in the case of constant doping, we prove the weak solution exponentially approaches its constant steady state as time increases to infinity.
Ending Page 638
Page Count 22
Starting Page 617
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 4
Volume Number 25
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2009-03-25
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Initial-boundary value problems for higher-order parabolic equations Stability and convergence of numerical methods fourth order parabolic system weak solution exponential decay Method of lines Mathematics semiclassical limit Nonlinear elliptic equations quantum drift-diffusion
Content Type Text
Resource Type Article
Subject Applied Mathematics
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