02-36

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

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

 

Preprint series: 02-36, Preprints

MSC:
35M10 PDE of mixed type
35K55 Nonlinear PDE of parabolic type
35K65 Parabolic partial differential equations of degenerate type
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


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Letzte Änderung: 01.03.2018 - Ansprechpartner: Webmaster