Exponential attractors of the nonlinear wave equations
Copyright policy )Exponential attractors of the nonlinear wave equations
This paper is devoted to the exponential attractors of nonlinear wave equations of the form: \[ \begin{cases} u_{tt}+ \alpha u_t-\Delta u+g(u)= f(x), (x,t) \in\Omega \times\mathbb{R}_+,\\ u|_{\partial \Omega}=0,\;u(x,0)=u_0(x),\;u_t(x,0)= u_1(x).\end{cases} \] The authors prove \(H^1_0(\Omega)\times L^2 (\Omega)\)-type exponential attractors using both the squeezing property and the decomposition of operators with finite covering method.
- Yunnan Open University China (People's Republic of)
decomposition of operators, Asymptotic behavior of solutions to PDEs, Attractors and repellers of smooth dynamical systems and their topological structure, Attractors, squeezing property, Initial-boundary value problems for second-order hyperbolic equations, Second-order nonlinear hyperbolic equations
decomposition of operators, Asymptotic behavior of solutions to PDEs, Attractors and repellers of smooth dynamical systems and their topological structure, Attractors, squeezing property, Initial-boundary value problems for second-order hyperbolic equations, Second-order nonlinear hyperbolic equations
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