Results 281 to 290 of about 6,906 (308)

Global Attractors and a Lubrication Problem

2016
We start this chapter from necessary background on the theory of fractal dimension. Next, we formulate and study a problem which models the two-dimensional boundary driven shear flow in lubrication theory. After the derivation of the energy dissipation rate estimate and a version of Lieb–Thirring inequality we provide an estimate from above on the ...
Grzegorz Łukaszewicz, Piotr Kalita
openaire   +1 more source

Global attractors and approximate inertial

Applicable Analysis, 1993
An abstract nonautonomous differential equation, u' + Au + F(u) = f ( t ) , is considered using assumptions appropriate for systems of reaction-diffusion equations on multi-dimensional spatial domains. A priori estimates establish the existence of absorbing balls in relevant function spaces, and nonsequently the existence of a global attractor is ...
openaire   +1 more source

Attractor-repeller approach for global placement

1999 IEEE/ACM International Conference on Computer-Aided Design. Digest of Technical Papers (Cat. No.99CH37051), 2003
Hussein Etawil, Shawki Areibi, Anthony Vannelli   +2 more
openaire   +1 more source

The Global Attractor Under Discretisation

1990
The effect of temporal discretisation on dissipative differential equations is analysed. We discuss the effect of discretisation on the global attractor and survey some recent results in the area. The advantage of concentrating on ω and α limit sets (which are contained in the global attractor) is described.
openaire   +2 more sources

Gromov–Hausdorff stability of global attractors for 3D Brinkman–Forchheimer equations

Mathematical Methods in the Applied Sciences, 2022
Chengfei Ai, Zhong Tan
exaly  

Global Attractors and Basic Turbulence

1994
We consider a dynamical system defined by a nonlinear partial differential equation (PDE) on a Banach space X. If for reasonably smooth initial data there exist unique solutions exhibiting complex nonlocal irregular behaviour, we say that the system is turbulent.
openaire   +1 more source

Global attractors for porous-elasticity system from second spectrum viewpoint

Nonlinear Analysis: Real World Applications, 2023
Baowei Feng, Mirelson M Freitas, A J A Ramos   +2 more
exaly  

Global and exponential attractors for a nonlinear porous elastic system with delay term

Discrete and Continuous Dynamical Systems - Series B, 2021
M J Dos Santos, Baowei Feng, D S Almeida Junior   +2 more
exaly  

Global Attractors and Steady States for Uniformly Persistent Dynamical Systems

SIAM Journal on Mathematical Analysis, 2005
Pierre MAGAL
exaly  

A result on the existence of global attractors for semigroups of closed operators

Communications on Pure and Applied Analysis, 2007
Sergey Zelik
exaly