Results 21 to 30 of about 1,961 (190)
Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source
Journal of Applied Mathematics, 2014 We consider the pullback D-attractor for the nonautonomous nonlinear equations of thermoelastic coupled rod with a nonlinear moving heat source. By Galerkin method, the existence and uniqueness of global solutions are proved under homogeneous boundary ...
Danxia Wang, Jianwen Zhang, Yinzhu Wang
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Pullback attraction in H 0 1 $H_{0}^{1}$ for semilinear heat equation in expanding domains
Boundary Value Problems, 2020 In this article, we consider the pullback attraction in H 0 1 $H_{0}^{1}$ of pullback attractor for semilinear heat equation with domains expanding in time. Firstly, we establish higher-order integrability of difference about variational solutions; then,
Yanping Xiao, Yuqin Bai, Huanhuan Zhang
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Weak pullback attractors of setvalued processes
Journal of Mathematical Analysis and Applications, 2003 Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for at least one trajectory rather than all trajectories at each starting point.
Caraballo Garrido, Tomás +2 more
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Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian
Nonlinear Analysis, 2015 In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
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Regularity and structure of pullback attractors for reaction-diffusion type systems without uniqueness [PDF]
, 2016 In this paper, we study the pullback attractor for a general reaction-diffusion system for which the uniqueness of solutions is not assumed. We first establish some general results for a multi-valued dynamical system to have a bi-spatial pullback ...
Cui, Hongyong +2 more
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On the Dimension of the Pullback Attractors for g-Navier-Stokes Equations
Discrete Dynamics in Nature and Society, 2010 We consider the asymptotic behaviour of nonautonomous 2D g-Navier-Stokes equations in bounded domain Ω. Assuming that f∈Lloc2, which is translation bounded, the existence of the pullback attractor is proved in L2(Ω) and H1(Ω).
Delin Wu
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Attractors for processes on time-dependent spaces. Applications to wave equations [PDF]
, 2012 For a process U(t,s) acting on a one-parameter family of normed spaces, we present a notion of time-dependent attractor based only on the minimality with respect to the pullback attraction property. Such an attractor is shown to be invariant whenever the
Conti, Monica +2 more
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Abstract and Applied Analysis, 2013 We consider the existence of -pullback attractor for nonautonomous primitive equations of large-scale ocean and atmosphere dynamics in a three-dimensional bounded cylindrical domain by verifying pullback condition.
Kun Li, Fang Li
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Bulletin of Mathematical Sciences, 2021 This paper deals with the asymptotic behavior of solutions to non-autonomous, fractional, stochastic p-Laplacian equations driven by additive white noise and random terms defined on the unbounded domain ℝN.
Renhai Wang, Bixiang Wang
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Minimality properties of set-valued processes and their pullback attractors [PDF]
, 2014 We discuss the existence of pullback attractors for multivalued dynamical systems on metric spaces. Such attractors are shown to exist without any assumptions in terms of continuity of the solution maps, based only on minimality properties with respect ...
Michele Coti, Piotr Kalita, Zelati
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