Results 61 to 70 of about 1,961 (190)
Advances in Difference Equations, 2020 This paper is concerned with the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with additive white noise, for which the nonlinear damping has a critical cubic growth rate.
Huazhen Yao, Jianwen Zhang
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Pullback and uniform exponential attractors for non-autonomous Oregonator systems
Open MathematicsWe consider the long-time global dynamics of non-autonomous Oregonator systems. This system is a coupled system of three reaction-diffusion equations, that arises from the Belousov-Zhabotinskii reaction.
Liu Na, Yu Yang-Yang
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Abstract and Applied Analysis, 2012 Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
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Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains
Abstract and Applied Analysis, 2014 We prove the existence of a pullback attractor in L2(ℝn) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝn.
Qiuying Lu, Guifeng Deng, Weipeng Zhang
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Pullback attractors for a singularly nonautonomous plate equation
Electronic Journal of Differential Equations, 2010 We consider the family of singularly nonautonomous plate equation with structural damping \[ u_{tt} + a(t,x)u_{t} + (- ) u_{t} + (- )^{2} u + u = f(u), \] in a bounded domain $ \subset \R^n$, with Navier boundary conditions. When the nonlinearity $f$ is dissipative we show that this problem is globally well posed in $H^2_0( ) \times L^2( )$ and
Carbone, Vera Lucia +3 more
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Convergences of asymptotically autonomous pullback attractors towards semigroup attractors
Discrete & Continuous Dynamical Systems - B, 2019 For pullback attractors of asymptotically autonomous dynamical systems we study the convergences of their components towards the global attractors of the limiting semigroups. We use some conditions of uniform boundedness of pullback attractors, instead of uniform compactness conditions used in the literature.
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Pullback attractors for non-autonomous Bresse systems
Electronic Journal of Differential Equations, 2022 This article concerns the asymptotic behavior of solutions of non-autonomous Bresse systems. We establish the existence of pullback attractor and upper semicontinuity of attractors as a non-autonomous perturbations tend to zero. In addition we study the continuity of attractors with respect to a parameter in a residual dense set.
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Attractors for non-autonomous retarded lattice dynamical systems
Nonautonomous Dynamical Systems, 2015 In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence of a pullback attractor for such ...
Caraballo Tomás +2 more
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Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space
Discrete Dynamics in Nature and Society, 2020 In this paper, we focus on the asymptotic behavior of solutions to stochastic delay lattice equations with additive noise and deterministic forcing. We first show the existence of a continuous random dynamical system for the equations.
Yijin Zhang, Zongbing Lin
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On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions
, 2019 We study the non-autonomously forced Burgers equation $$ u_t(x,t) + u(x,t)u_x(x,t) - u_{xx}(x,t) = f(x,t) $$ on the space interval $(0,1)$ with two sets of the boundary conditions: the Dirichlet and periodic ones.
Kalita, Piotr, Zgliczyński, Piotr
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