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Mostrando ítems 11-18 de 18
Artículo
Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
(Elsevier, 2008)
The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption ...
Artículo
Artículo
Attractors for non-autonomous retarded lattice dynamical systems
(De Gruyter Open, 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 ...
Artículo
Pullback attractor for a non-autonomous reaction-diffusion equation in some unbounded domains
(Sociedad Española de Matemática Aplicada, 2010)
The existence of a pullback attractor in L2(Ω) for the following nonautonomous reaction-di usion equation ∂u ∂t − △u = f(u) + h(t), in Ω × (τ, +∞), u = 0, on ∂Ω × (τ, +∞), u(x, τ ) = uτ (x), x ∈ Ω, is proved in this ...
Artículo
Pullback, forward and chaotic dynamics in 1-D non-autonomous linear-dissipative equations
(IOP Publishing, 2017-01)
The global attractor of a skew product semiflow for a non-autonomous differential equation describes the asymptotic behaviour of the model. This attractor is usually characterized as the union, for all the parameters in ...
Artículo
Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on in nite lattices
(Elsevier, 2021-04-05)
We first verify the global well-posedness of the impulsive reaction-diffusion equations on infinite lattices. Then we establish that the generated process by the solution operators has a pullback attractor and a family of ...
Artículo
Pullback attractors for reaction-diffusion equations in some unbounded domains with an H-1 -valued non-autonomous forcing term and without uniqueness of solutions
(2010)
The existence of a pullback attractor for a reaction-diffusion equations in an unbounded domain containing a non-autonomous forcing term taking values in the space H−1, and with a continuous nonlinearity which does not ...
Artículo
Structure of the pullback attractor for a non-autonomous scalar differential inclusion
(American Institute of Mathematical Sciences, 2016-08)
The structure of attractors for differential equations is one of the main topics in the qualitative theory of dynamical systems. However, the theory is still in its infancy in the case of multivalued dynamical systems. ...