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STABLE ERGODICITY FOR PARTIALLY HYPERBOLIC ATTRACTORS WITH NEGATIVE CENTRAL EXPONENTS
PARTIALLY HYPERBOLIC STABLE ERGODICITY
2015/9/29
We establish stable ergodicity of diffeomorphisms with
partially hyperbolic attractors whose Lyapunov exponents along
the central direction are all negative with respect to invariant SRBmeasur...
Continuity of attractors for a nonlinear parabolic problem with terms concentrating in the boundary
Partial differential equations on infinite-dimensional spaces asymptotic behavior of solutions attractors singular perturbations concentrating terms
2012/4/17
We analyze the dynamics of the flow generated by a nonlinear parabolic problem when some reaction and potential terms are concentrated in a neighborhood of the boundary. We assume that this neighborho...
Global and trajectory attractors for a nonlocal Cahn-Hilliard-Navier-Stokes system
Navier-Stokes equations nonlocal Cahn-Hilliard equations incompressible binary fluids global attractors
2011/9/23
Abstract: The Cahn-Hilliard-Navier-Stokes system is based on a well-known diffuse interface model and describes the evolution of an incompressible isothermal mixture of binary fluids. A nonlocal varia...
Dimension of attractors and invariant sets of damped wave equations in unbounded domains
damped wave equation invariant set attractor dimension
2011/9/5
Abstract: Under fairly general assumptions, we prove that every compact invariant set $\mathcal I$ of the semiflow generated by the semilinear damped wave equation u_{tt}+\alpha u_t+\beta(x)u-\Deltau ...
Pullback attractors for a singularly nonautonomous plate equation
pullback attractors nonautonomous plate equation upper-semicontinuity
2011/2/24
We consider the family of singularly nonautonomous plate equation with structural damping
utt + a(t, x)ut + (−)ut + (−)2u + u = f(u),in a bounded domain ⊂ Rn, with Navier bounda...
Global Attractors for a Nonclassical Diffusion Equation
nonclassical diffusion equation critical exponent polynomial growth of arbitrary order global attractor asymptotic a priori estimate
2007/12/10
We prove the existence of global attractors in $H_0^1(\Omega)$ for a nonclassical diffusion equation. Two types of nonlinearity $f$ are considered: one is the critical exponent, and the other is the p...