Maximal attractors for the phase-field equations of Penrose-Fife type

DOI10.1016/S0893-9659(02)00079-4zbMath1011.35028MaRDI QIDQ1861842

Weixi Shen, Songmu Zheng

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

absorbing setinfinite-dimensional dynamical systemincomplete metric space

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear parabolic equations (35K55) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)

Related Items (5)

Universal attractor for some singular phase transition systems ⋮ GLOBAL AND EXPONENTIAL ATTRACTORS FOR THE PENROSE–FIFE SYSTEM ⋮ Global attractor for the Ginzburg-Landau thermoviscoelastic systems with hinged boundary conditions ⋮ Asymptotic compactness and attractors for phase-field equations in \(\mathbb R^{3}\) ⋮ Cauchy problem for non-autonomous Navier-Stokes equations in an unbounded domain

Cites Work

• Unnamed Item
• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• Infinite-dimensional dynamical systems in mechanics and physics
• Gobal existence for a thermodynamically consistent model of phase field type
• Maximal attractor for the coupled Cahn-Hilliard equations
• On The Coupled Cahn-hilliard Equations
• A nonlinear boundary value problem involving a nonlocal term
• The Penrose–Fife-type equations: counting the one-dimensional stationary solutions

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