ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO DRIFT-DIFFUSION SYSTEM WITH GENERALIZED DISSIPATION

被引：33
|
作者：
Ogawa, Takayoshi [1 ]
Yamamoto, Masakazu [1 ]
机构：
[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2009年 / 19卷 / 06期
关键词：
Drift-diffusion system; Keller-Segel equations; large data global solutions; decay of solution; fractional order derivatives; asymptotic profiles; NAVIER-STOKES EQUATIONS; LARGE-TIME BEHAVIOR; PARTIAL-DIFFERENTIAL-EQUATIONS; GLOBAL EXISTENCE; WHOLE SPACE; CHEMOTAXIS; MODEL;
D O I：
10.1142/S021820250900367X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the global existence and asymptotic behavior of solutions for the Cauchy problem of a nonlinear parabolic and elliptic system arising from semiconductor model. Our system has generalized dissipation given by a fractional order of the Laplacian. It is shown that the time global existence and decay of the solutions to the equation with large initial data. We also show the asymptotic expansion of the solution up to the second terms as t ->infinity.
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页码：939 / 967
页数：29
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