Results 301 to 310 of about 1,323,147 (330)

Global and exponential attractor of the repulsive Keller–Segel model with logarithmic sensitivity

, 2020
We consider a Keller–Segel model that describes the cellular chemotactic movement away from repulsive chemical subject to logarithmic sensitivity function over a confined region in ${{\mathbb{R}}^n},\,n \le 2$ .
Lin Chen, Fanze Kong, Qi Wang
semanticscholar   +1 more source

Exponential attractors for extensible beam equations

Nonlinearity, 1993
The authors transfer ideas and results of the classical theory of dynamical systems for ODE to a class of nonlinear dynamical boundary value problems for PDE which includes equations looking like beam and plate equations. They establish the existence of a compact attractor and some of its properties for this class of systems using energy methods and ...
Albert Milani, Alp Eden, Alp Eden
openaire   +3 more sources

Pullback exponential attractors with admissible exponential growth in the past [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2014
Abstract For an evolution process we prove the existence of a pullback exponential attractor, a positively invariant family of compact subsets which have a uniformly bounded fractal dimension and pullback attract all bounded subsets at an exponential rate.
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Exponential attractors for a partially dissipative reaction system

Asymptotic Analysis, 1996
After having established the existence of smooth absorbing sets, thanks to suitable a priori estimates, we obtain for a class of partially dissipative reaction systems a property known as squeezing property. This last leads to the existence of exponential attractors for which the fractal dimension is finite.
Cédric Galusinski, Pierre Fabrie
openaire   +4 more sources

Exponential attractors for semiconductor equations

2006
This paper studies the asymptotic behaviour of solutions to the classical semiconductor equations due to Shockley. We will construct not only global solutions but also exponential attractors for the dynamical system determined from the Cauchy problem.
FAVINI, ANGELO, A. . LORENZI, A. YAGI
openaire   +3 more sources

Exponential Attractors for the Generalized Ginzburg-Landau Equation

Acta Mathematica Sinica, 2000
Global fast dynamics of the generalized Ginzburg-Landau equation is considered in two spatial dimensions, squeezing property and the existence of finite-dimensional exponential attractors for that equation are presented.
Bixiang Wang, Boling Guo
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Exponential Attractors in Contact Problems

2016
In this chapter we consider two examples of contact problems. First, we study the problem of time asymptotics for a class of two-dimensional turbulent boundary driven flows subject to the Tresca friction law which naturally appears in lubrication theory.
Grzegorz Łukaszewicz, Piotr Kalita
openaire   +2 more sources

Exponential Attractors in Generalized Relativistic Billiards

Communications in Mathematical Physics, 2004
A generalized relativistic billiard is the following dynamical system: a particle moves under the influence of some force fields in the interior of a domain with pseudo-Riemannian metric, and as the particle hits the boundary of the domain, its velocity is transformed as if the particle underwent an elastic collision with a moving wall, considered in ...
L.D. Pustyl’nikov, M.V. Deryabin
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Exponential attractors for semigroups in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 2012
Abstract Let { S ( t ) } t ⩾ 0 be a semigroup on a Banach space X , and A be the global attractor for { S ( t ) } t ⩾ 0 . We assume that there exists a T ∗ such that S ≜ S ( T ∗ ) is of class C 1 on a bounded absorbing set B ϵ 0
Chengkui Zhong, Yansheng Zhong
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A uniformly exponential random forward attractor which is not a pullback attractor

Archiv der Mathematik, 2002
The author constructs an example of a random forward attractor for a random dynamical system (RDS) that is not a pullback attractor which is one of 3 possible notions of an attractor one can naturally define for RDS (and which all coincide for deterministic dynamical systems).
openaire   +3 more sources