Abstract
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 → ∞.
Original language | English |
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Pages (from-to) | 939-967 |
Number of pages | 29 |
Journal | Mathematical Models and Methods in Applied Sciences |
Volume | 19 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2009 Jun |
Keywords
- Asymptotic profiles.
- Decay of solution
- Drift-diffusion system
- Fractional order derivatives
- Keller-Segel equations
- Large data global solutions
ASJC Scopus subject areas
- Modelling and Simulation
- Applied Mathematics