Exponential attractors for a class of evolution equations by a decomposition method
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Publication:4238023
DOI10.1016/S0764-4442(99)80153-0zbMath1101.35334MaRDI QIDQ4238023
Publication date: 1999
Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)
Attractors (35B41) Abstract parabolic equations (35K90) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Partial differential equations of mathematical physics and other areas of application (35Q99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Related Items (11)
Robust exponential attractors for a parabolic-hyperbolic phase-field system ⋮ Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature ⋮ Global and exponential attractors for a Caginalp type phase-field problem ⋮ Hausdorff and fractal dimensions of attractors for functional differential equations in Banach spaces ⋮ Attractors for Nonautonomous Navier–Stokes System and Other Partial Differential Equations ⋮ The Cahn–Hilliard equation as limit of a conserved phase-field system ⋮ On a Caginalp phase-field system with a logarithmic nonlinearity. ⋮ Long-time behavior of some models of Cahn-Hilliard equations in deformable continua ⋮ Robust exponential attractors for singularly perturbed conserved phase-field systems with no growth assumption on the nonlinear term ⋮ Some models of Cahn-Hilliard equations in nonisotropic media ⋮ Study of the dissipativity, global attractor and exponential attractor for a hyperbolic relaxation of the Caginalp phase-field system with singular nonlinear terms
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