Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations
SM Bruschi, AN Carvalho, JW Cholewa… - Journal of Dynamics and …, 2006 - Springer
For η\geqslant 0, we consider a family of damped wave equations u_ tt+ η Λ^ 1 2 u_t+ a u_t+
Λ u= f (u),\quad t> 0,\quad x ∈ Ω ⊂ R^ N, where− Λ denotes the Laplacian with zero …
Λ u= f (u),\quad t> 0,\quad x ∈ Ω ⊂ R^ N, where− Λ denotes the Laplacian with zero …
Regularity of solutions on the global attractor for a semilinear damped wave equation
AN Carvalho, JW Cholewa - Journal of mathematical analysis and …, 2008 - Elsevier
We consider attractors Aη, η∈[0, 1], corresponding to a singularly perturbed damped wave
equation in H01 (Ω)× L2 (Ω), where Ω is a bounded smooth domain in R3. For dissipative …
equation in H01 (Ω)× L2 (Ω), where Ω is a bounded smooth domain in R3. For dissipative …
Attractors for strongly damped wave equations with critical nonlinearities
AN Carvalho, JW Cholewa - Pacific Journal of Mathematics, 2002 - msp.org
In this paper we obtain global well-posedness results for the strongly damped wave
equation u tt+(− Δ) 𝜃 ut= Δ u+ f (u), for 𝜃∈[1, 1] 2, in H 0 1 (Ω)× L 2 (Ω) when Ω is a bounded …
equation u tt+(− Δ) 𝜃 ut= Δ u+ f (u), for 𝜃∈[1, 1] 2, in H 0 1 (Ω)× L 2 (Ω) when Ω is a bounded …
Bounded, locally compact global attractors for semilinear damped wave equations on
E Feireisl - 1996 - projecteuclid.org
BOUNDED, LOCALLY COMPACT GLOBAL ATTRACTORS FOR SEMILINEAR DAMPED
WAVE EQUATIONS ON RN Eduard Feireisl (Submitted by: JA Goldst Page 1 Differential and …
WAVE EQUATIONS ON RN Eduard Feireisl (Submitted by: JA Goldst Page 1 Differential and …
Attractors for singularly perturbed damped wave equations on unbounded domains
M Prizzi, KP Rybakowski - 2008 - projecteuclid.org
For an arbitrary unbounded domain Ω⊂\mathbbR^3 and for ε>0, we consider the damped
hyperbolic equations ε u_ tt+ u_t+ β (x) u-ij (a_ ij (x) u_ x_j) _ x_i= f (x, u), (\rmH_ε) with …
hyperbolic equations ε u_ tt+ u_t+ β (x) u-ij (a_ ij (x) u_ x_j) _ x_i= f (x, u), (\rmH_ε) with …
Attractors for semilinear damped wave equations on arbitrary unbounded domains
M Prizzi, KP Rybakowski - 2008 - projecteuclid.org
ATTRACTORS FOR SEMILINEAR DAMPED WAVE EQUATIONS ON ARBITRARY
UNBOUNDED DOMAINS Martino Prizzi — Krzysztof P. Rybakowski 1. Int Page 1 Topological …
UNBOUNDED DOMAINS Martino Prizzi — Krzysztof P. Rybakowski 1. Int Page 1 Topological …
On the regularity of global attractors
This note is focused on a novel technique in order to establish the boundedness in more
regular spaces for global attractors of dissipative dynamical systems, without appealing to …
regular spaces for global attractors of dissipative dynamical systems, without appealing to …
Exponential attractors for singularly perturbed damped wave equations: a simple construction
This note is concerned with the damped wave equation ε 2 ottu+ otu−∆ u+ f (u)= g
depending on a small parameter ε and with the corresponding parabolic equation otu−∆ u+ f …
depending on a small parameter ε and with the corresponding parabolic equation otu−∆ u+ f …
[图书][B] Attractors and their regularity for 2-D wave equations with nonlinear damping
We address the study of a weakly damped wave equation in space-dimension two, with a
damping coefficient depending on the displacement. The equation is shown to generate a …
damping coefficient depending on the displacement. The equation is shown to generate a …
Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent
E Feireisl, E Zuazua - Communications in partial differential …, 1993 - Taylor & Francis
It is well known that the solution operator St (uO, ul)=(~(t), ut (t)), t 2 0 generates a Co-
semigroup on the associated energy space X= HA (0) x L2 (S1). Moreover, if d= const> 0, p< …
semigroup on the associated energy space X= HA (0) x L2 (S1). Moreover, if d= const> 0, p< …