ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO DRIFT-DIFFUSION SYSTEM WITH GENERALIZED DISSIPATION
ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO DRIFT-DIFFUSION SYSTEM WITH GENERALIZED DISSIPATION
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DOI：
10.1142/s021820250900367x
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发表时间：
2009-06
影响因子：
3.5
通讯作者：
T. Ogawa;M. Yamamoto
中科院分区：
文献类型：
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作者：
T. Ogawa;M. Yamamoto
我们展示了由半导体模型产生的非线性抛物线和椭圆系统的柯西问题解的全局存在性和渐近行为。我们的系统具有由拉普拉斯分数阶给出的广义耗散。证明了大初始数据方程解的时间全局存在性和衰减性。我们还展示了解到第二项的渐近展开，即 t → ∞。
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 → ∞.