Finite dimensionality and compactness of attractors for von Karman equations with nonlinear dissipation
Abstract
Asymptotic behaviour of dynamics governed by PDE system describing nonlinear vibrations of a shell immersed in a supersonic gas is considered. The undelying dynamics is modeled by a nonlinear hyperbolillike shell equation with a nonlinear dissipation. It is shown that all finite energy ("weak") solutions converge to a global, compact attractor which is also finite-dimensional.
Publication Title
Nonlinear Differential Equations and Applications
Recommended Citation
Lasiecka, I. (1999). Finite dimensionality and compactness of attractors for von Karman equations with nonlinear dissipation. Nonlinear Differential Equations and Applications, 6 (4), 437-472. https://doi.org/10.1007/s000300050012
COinS
