Global attractor for the perturbed viscous Cahn-Hilliard equation

• Autorzy: Maria B. Kania
• Języki publikacji: EN

Abstrakty

EN

We consider the initial-boundary value problem for the perturbed viscous Cahn-Hilliard equation in space dimension n ≤ 3. Applying semigroup theory, we formulate this problem as an abstract evolutionary equation with a sectorial operator in the main part. We show that the semigroup generated by this problem admits a global attractor in the phase space (H²(Ω)∩ H¹₀(Ω)) × L²(Ω) and characterize its structure.

Kategorie tematyczne

• 35L70: Nonlinear second-order hyperbolic equations
• 35B41: Attractors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 109
• Numer: 2
• Strony: 217-229

Daty

wydano

2007

Twórcy

autor

Maria B. Kania

• Institute of Mathematics, Silesian University, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/cm109-2-4