Zurück zu den Preprints des Jahres 2002


2002-36

Smooth Solution and Its Large Time Behavior to Multi-Dimensional Lyumkis Energy Transport Model in Semiconductor Science

by Chen, L., Hsiao, L., Warnecke, G..


Series: 2002-36, Preprints

MSC:
35M10 Equations of mixed type
35K55 Nonlinear parabolic equations
35K65 Degenerate parabolic equations
78A35 Motion of charged particles

Abstract:
The global existence and large time behavior of smooth solution to the initial boundary
value problem for the multi -dimensional Lyumkis energy transport model in semiconductor
science are discussed in this paper. Under the insulating boundary condition, when the initial
data are a small pertubation of an isothermal stationary solution, the smooth solution of
the problem converges to that stationary solution exponentially fast as time goes to infinity.

Keywords:
Lyumkis energy transport model, globel existence, asymptotic behavior, strong