TY - JOUR
T1 - Asymptotic behavior of solutions to drift-diffusion system with generalized dissipation
AU - Ogawa, Takayoshi
AU - Yamamoto, Masakazu
PY - 2009/6
Y1 - 2009/6
N2 - 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 → ∞.
AB - 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 → ∞.
KW - Asymptotic profiles.
KW - Decay of solution
KW - Drift-diffusion system
KW - Fractional order derivatives
KW - Keller-Segel equations
KW - Large data global solutions
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U2 - 10.1142/S021820250900367X
DO - 10.1142/S021820250900367X
M3 - Article
AN - SCOPUS:68249118543
SN - 0218-2025
VL - 19
SP - 939
EP - 967
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
IS - 6
ER -