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This paper is concerned with a generalized 2D parabolic equation with a nonautonomous perturbation −△ut + α2△2ut + μ△2u + ∇ · F→ (u) + B(u, u) = ǫg(x, t). Under some proper assumptions on the external force term g, the up- per semicontinuity of pullback attractors is proved. More precisely, it is shown that the pullback attractor {Aǫ(t)}t∈R of the equation with ǫ > 0 converges to the global attractor A of the equation with ǫ = 0.
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참고문헌 (14)
참고문헌 신청
A. N. Carvalho / 2009 / On the continuity of pullback attractors for evolution processes / Nonlinear Anal 71 (5-6) : 1812 ~ 1824
A. Pazy / 1983 / Semigroups of Linear Operators and Applications to Partial Differential Equa-tions / Springer-Verlag
A. V. Babin / 1992 / Attractors of Evolution Equations
B. Wang / 1999 / Attractors for reaction-diffusion equations in unbounded domains / Phys. D 128 (1) : 41 ~ 52
C. M. Elliot / 1996 / Lower semicontinuity of a nonhyperbolic attractor for the viscous Cahn-Hilliard equation / Nonlinearity 9 : 678 ~ 702
A. Pazy / 1983 / Semigroups of Linear Operators and Applications to Partial Differential Equa-tions / Springer-Verlag
A. V. Babin / 1992 / Attractors of Evolution Equations
B. Wang / 1999 / Attractors for reaction-diffusion equations in unbounded domains / Phys. D 128 (1) : 41 ~ 52
C. M. Elliot / 1996 / Lower semicontinuity of a nonhyperbolic attractor for the viscous Cahn-Hilliard equation / Nonlinearity 9 : 678 ~ 702
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