Decay estimates and large time behavior of solutions to the Drift-Diffusion system

Ryo Kobayashi, Shuichi Kawashima

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We study the drift-diffusion system arising in the semiconductor device simulation and the plasma physics. We consider the initial value problem for this system and derive the optimal Lp decay estimate of solutions by applying the time weighted Lp energy method. Furthermore, we show that the solutions approach the corresponding heat kernels as time tends to infinity. This asymptotic result is based on the optimal Lp -Lq decay estimate for the linearized problem.

Original languageEnglish
Pages (from-to)371-394
Number of pages24
JournalFunkcialaj Ekvacioj
Volume51
Issue number3
DOIs
Publication statusPublished - Dec 1 2008

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Drift-diffusion
Lp Estimates
Decay Estimates
Large Time Behavior
Behavior of Solutions
Semiconductor Device Simulation
Plasma Physics
Energy Method
Heat Kernel
Initial Value Problem
Infinity
Tend

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

Cite this

Decay estimates and large time behavior of solutions to the Drift-Diffusion system. / Kobayashi, Ryo; Kawashima, Shuichi.

In: Funkcialaj Ekvacioj, Vol. 51, No. 3, 01.12.2008, p. 371-394.

Research output: Contribution to journalArticle

Kobayashi, Ryo ; Kawashima, Shuichi. / Decay estimates and large time behavior of solutions to the Drift-Diffusion system. In: Funkcialaj Ekvacioj. 2008 ; Vol. 51, No. 3. pp. 371-394.
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