Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models

Authors

Igor Chueshov, Kharkov State Univ
Irena Lasiecka, University of VirginiaFollow

Abstract

We study dynamics of a class of nonlinear Kirchhoff-Boussinesq plate models. The main results of the paper are: (i) existence and uniqueness of weak (finite energy) solutions, (ii) existence of weakly compact attractors.

Publication Title

Discrete and Continuous Dynamical Systems

Recommended Citation

Chueshov, I., & Lasiecka, I. (2006). Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models. Discrete and Continuous Dynamical Systems, 15 (3), 777-809. https://doi.org/10.3934/dcds.2006.15.777