The dimension of attractors of nonautonomous partial differential equations

DOI10.1017/S1446181100013274zbMath1047.35024MaRDI QIDQ4458292

Valero, José, Tomás Caraballo Garrido, José Antonio Langa

Publication date: 17 March 2004

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

pullback attractorcocycle attractordimension of attractornon-autonomous attractor

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)

Related Items (18)

Pullback attractors for nonautonomous reaction-diffusion equations in unbounded domains ⋮ Finite fractal dimension of pullback attractors for non-autonomous 2D Navier--Stokes equations in some unbounded domains ⋮ FINITE DIMENSIONALITY OF ATTRACTORS FOR NON-AUTONOMOUS DYNAMICAL SYSTEMS GIVEN BY PARTIAL DIFFERENTIAL EQUATIONS ⋮ Asymptotic dynamics of non-autonomous fractional reaction-diffusion equations on bounded domains ⋮ On the existence of pullback attractors for non-autonomous reaction–diffusion equations ⋮ A global solution for a reaction-diffusion equation on bounded domains ⋮ Numerical investigation on global dynamics for nonlinear stochastic heat conduction via global random attractors theory ⋮ Pullback exponential attractors with admissible exponential growth in the past ⋮ Pullback attractors for the non-autonomous quasi-linear complex Ginzburg-Landau equation with \(p\)-Laplacian ⋮ Pullback attractors of the two-dimensional non-autonomous simplified Ericksen-Leslie system for nematic liquid crystal flows ⋮ On pullback attractors for a class of two-dimensional turbulent shear flows ⋮ On pullback attractors in \(L^p\) for nonautonomous reaction-diffusion equations ⋮ Pullback attractors for a class of extremal solutions of the 3D Navier-Stokes system ⋮ Pullback attractors of non-autonomous reaction-diffusion equations in \(H^1_0\) ⋮ ON PULLBACK ATTRACTORS IN $H^1_0$ FOR NONAUTONOMOUS REACTION–DIFFUSION EQUATIONS ⋮ EXISTENCE OF PULLBACK ATTRACTOR FOR A REACTION–DIFFUSION EQUATION IN SOME UNBOUNDED DOMAINS WITH NON-AUTONOMOUS FORCING TERM IN H^-1 ⋮ Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian ⋮ Stochastic Euler-Bernoulli beam driven by additive white noise: global random attractors and global dynamics

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