Dynamics of nonlinear Reissner–Mindlin–Timoshenko plate systems
Copyright policy )Dynamics of nonlinear Reissner–Mindlin–Timoshenko plate systems
AbstractThe problem of Reissner–Mindlin–Timoshenko plate systems with nonlinear damping terms is considered. The main result is the existence of global attractors. By showing the system is gradient and asymptotic smoothness via a stabilizability inequality, we establish the existence of global attractors with finite fractal dimension. The continuity of global attractors regarding the parameter in a residual dense set is also proved. The above results allow the damping terms with polynomial growth.
- Southwestern University of Finance and Economics China (People's Republic of)
- Universidade Estadual do Maranhão Brazil
- Universidade Federal do Pará Brazil
Second-order semilinear hyperbolic equations, nonlinear damping, quasi-stable systems, Attractors, Reissner-Mindlin-Timoshenko, global attractor, Long-time behavior of solutions for dynamical problems in solid mechanics, Plates, Initial-boundary value problems for second-order hyperbolic systems
Second-order semilinear hyperbolic equations, nonlinear damping, quasi-stable systems, Attractors, Reissner-Mindlin-Timoshenko, global attractor, Long-time behavior of solutions for dynamical problems in solid mechanics, Plates, Initial-boundary value problems for second-order hyperbolic systems
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