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Long Time Behavior Of Stochastic Semi-linear Degenerate Parabolic Model

Posted on:2022-04-04Degree:MasterType:Thesis
Country:ChinaCandidate:M HuangFull Text:PDF
GTID:2480306491481254Subject:mathematics
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In this master paper,we investigate the long-time behaviors of the stochastic semilinear degenerate parabolic equation by using Wong-Zakai approximations.Firstly,we consider the following stochastic semi-linear degenerate parabolic equation:we prove that the Wong-Zakai approximate equation has a pullback random attractor with general nonlinear functions f and ?.Then,for the following stochastic semi-linear degenerate parabolic equation with additive or multiplicative noise:andwe establish the convergence of solutions and the upper semi-continuity of random attractors as (?)?0.
Keywords/Search Tags:Stochastic semi-linear degenerate parabolic equation, Wong-Zakai approximation, Multiplicative noise, Additive noise, Upper semi-continuity, Pullback random attractor
PDF Full Text Request
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