Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent | Zendy

Azer Khanmamedov | Zendy

Open Access

Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent

Author(s) -

Azer Khanmamedov

Publication year - 2011

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2011.31.119

Subject(s) - omega , attractor , damped wave , physics , exponent , wave equation , term (time) , nonlinear system , displacement (psychology) , mathematical physics , mathematical analysis , critical exponent , mathematics , quantum mechanics , phase transition , psychology , linguistics , philosophy , psychotherapist

In this paper the long time behaviour of the solutions of 3-D strongly damped wave equation is studied. It is shown that the semigroup generated by this equation possesses a global attractor in H_{0}^{1}(\Omega)\times L_{2}(\Omega) and then it is proved that this global attractor is a bounded subset of H^{2}(\Omega)\times H^{2}(\Omega) and also a global attractor in H^{2}(\Omega)\cap H_{0}^{1}(\Omega)\times H_{0}^{1}(\Omega).

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research