Gerbes singulières et singularités du problème de Cauchy hyperbolique
Global attractor for the perturbed viscous Cahn-Hilliard equation
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.
Global Classical Solutions of Nonlinear Wave Equations.
Global existence and nonlinear boundary stabilization of an elastic system. (Existence globale et stabilisation frontière non linéaire d'un système d'élasticité.)
Global solutions and finite time blow up for damped semilinear wave equations