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Global attractor for the Cahn-Hilliard system with fast growing nonlinearity. (English) Zbl 0912.35029
It is studied the system of Cahn-Hilliard equations: \[ u_t-\Delta (-\Gamma\Delta u=\nabla_u\varphi(u))= 0\quad\text{on }\mathbb{R}_+\times\Omega, \] supplied with homogeneous boundary conditions and initial conditions. The authors prove that the system possess a global attractor.

35B40 Asymptotic behavior of solutions to PDEs
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
Full Text: DOI
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