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

Ryo Kobayashi, Shuichi Kawashima

研究成果: ジャーナルへの寄稿記事

18 引用 (Scopus)

抄録

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.

元の言語英語
ページ(範囲)371-394
ページ数24
ジャーナルFunkcialaj Ekvacioj
51
発行部数3
DOI
出版物ステータス出版済み - 12 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

これを引用

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

:: Funkcialaj Ekvacioj, 巻 51, 番号 3, 01.12.2008, p. 371-394.

研究成果: ジャーナルへの寄稿記事

Kobayashi, Ryo ; Kawashima, Shuichi. / Decay estimates and large time behavior of solutions to the Drift-Diffusion system. :: Funkcialaj Ekvacioj. 2008 ; 巻 51, 番号 3. pp. 371-394.
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