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Global Attractors For The Plate Equation With Nonlocal Nonlinearity In Unbounded Domains
(Int Press Boston, Inc, 2014)
We consider the initial value problem for the semilinear plate equation with nonlocal nonlinearity. We prove the existence of global attractor and then establish the regularity and finite dimensionality of this attractor.
Existence Of The Global Attractor For The Plate Equation With Nonlocal Nonlinearity In R-N
(Amer Inst Mathematical Sciences-Aims, 2016)
We consider Cauchy problem for the semilinear plate equation with nonlocal nonlinearity. Under mild conditions on the damping coefficient, we prove that the semigroup generated by this problem possesses a global attractor.