[图书][B] Long-time behavior of second order evolution equations with nonlinear damping
I Chueshov, I Lasiecka - 2008 - books.google.com
The authors consider abstract nonlinear second order evolution equations with a nonlinear
damping. Questions related to long time behavior, existence and structure of global …
damping. Questions related to long time behavior, existence and structure of global …
[PDF][PDF] Global attractors for damped semilinear wave equations
JM Ball - Discrete and Continuous Dynamical Systems, 2004 - people.maths.ox.ac.uk
The existence of a global attractor in the natural energy space is proved for the semilinear
wave equation utt+ βut−∆ u+ f (u)= 0 on a bounded domain Ω⊂ Rn with Dirichlet boundary …
wave equation utt+ βut−∆ u+ f (u)= 0 on a bounded domain Ω⊂ Rn with Dirichlet boundary …
[图书][B] Global attractors in abstract parabolic problems
JW Cholewa, T Dlotko - 2000 - books.google.com
Dissipative equations have attracted substantial attention over many years. Much progress
has been achieved in this area using a combination of both finite dimensional and infinite …
has been achieved in this area using a combination of both finite dimensional and infinite …
On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation
Long time behavior of a semilinear wave equation with nonlinear boundary dissipation and
critical exponent is considered. It is shown that weak solutions generated by the wave …
critical exponent is considered. It is shown that weak solutions generated by the wave …
Finite dimensional exponential attractor for the phase field model
D Brochet, D Hilhorst, X Chen - Applicable Analysis, 1993 - Taylor & Francis
Finite dimensional exponential attractor for the phase field model Page 1 Applicnble Amlysis,
Vo1.49, pp. 197-212 Repnnts available directly from the publisher Photocopying permitted by …
Vo1.49, pp. 197-212 Repnnts available directly from the publisher Photocopying permitted by …
Existence of a global attractor for semilinear dissipative wave equations on RN
NI Karachalios, NM Stavrakakis - journal of differential equations, 1999 - Elsevier
We consider the semilinear hyperbolic problem utt+ δut− φ (x) Δu+ λf (u)= η (x), x∈ RN, t> 0,
with the initial conditions u (x, 0)= u0 (x) and ut (x, 0)= u1 (x) in the case where N⩾ 3 and (φ …
with the initial conditions u (x, 0)= u0 (x) and ut (x, 0)= u1 (x) in the case where N⩾ 3 and (φ …
Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects
G Liu, AÖ Özer, M Wang - Nonlinear Analysis: Real World Applications, 2022 - Elsevier
In this work, a novel fully-dynamic piezoelectric beam model is considered. Electromagnetic
and thermal effects are taken into consideration by Maxwell's equations and the Coleman …
and thermal effects are taken into consideration by Maxwell's equations and the Coleman …
Exponential attractors for extensible beam equations
A Eden, AJ Milani - Nonlinearity, 1993 - iopscience.iop.org
The authors establish a global fast dynamics for a class of equations that include the beam
equations as studied by Ball (1973) and von Karman equations for a thin plate. They …
equations as studied by Ball (1973) and von Karman equations for a thin plate. They …
Global attractors for von Karman evolutions with a nonlinear boundary dissipation
I Chueshov, I Lasiecka - Journal of Differential equations, 2004 - Elsevier
Dynamic von Karman equations with a nonlinear boundary dissipation are considered.
Questions related to long time behaviour, existence and structure of global attractors are …
Questions related to long time behaviour, existence and structure of global attractors are …