Approximate Inertial Manifold of Strongly Damped Wave Equation
نویسندگان
چکیده
منابع مشابه
Inertial manifolds of damped semilinear wave equations
© AFCET, 1989, tous droits réservés. L’accès aux archives de la revue « Modélisation mathématique et analyse numérique » implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de cop...
متن کاملStochastic inertial manifolds for damped wave equations ∗
In this paper, stochastic inertial manifold for damped wave equations subjected to additive white noise is constructed by the Lyapunov-Perron method. It is proved that when the intensity of noise tends to zero the stochastic inertial manifold converges to its deterministic counterpart almost surely.
متن کاملNumerical approximation of the LQR problem in a strongly damped wave equation
The aim of this work is to obtain optimal-order error estimates for the LQR (Linear-quadratic regulator) problem in a strongly damped 1-D wave equation. We consider a finite element discretization of the system dynamics and a control law constant in the spatial dimension, which is studied in both point and distributed case. To solve the LQR problem, we seek a feedback control which depends on t...
متن کاملAsymptotic Behavior of Stochastic Strongly Damped Wave Equation with Multiplicative Noise
In this paper we study the asymptotic dynamics of the stochastic strongly damped wave equation with multiplicative noise under homogeneous Dirichlet boundary condition. We investigate the existence of a compact random attractor for the random dynamical system associated with the equation.
متن کاملGlobal Existence of Ε−regular Solutions for the Strongly Damped Wave Equation
In this paper, we deal with the semilinear wave equation with strong damping. By choosing a suitable state space, we characterize the interpolation and extrapolation spaces of the operator matrix Aθ, analysis the criticality of the ε-regular nonlinearity with critical growth. Finally, we investigate the global existence of the ε-regular solutions which have bounded X ×X norms on their existence...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pure Mathematics
سال: 2015
ISSN: 2160-7583,2160-7605
DOI: 10.12677/pm.2015.56040