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A necessary and sufficient condition for the existence of an exponential attractor
We give a necessary and sufficient condition for the existence of an exponential attractor. The condition captures the quantitative properties of the attractor, i.e., the dimension and the rate of attraction....
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Exponential attractors for abstract parabolic systems with bounded delay
We show that a suitable adaptation of the so-called method of trajectories can be used to construct an exponential attractor for a very general class of nonlinear reaction-diffusion systems with a bounded delay....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Exponential attractor for the delayed logistic equation with nonlinear diffusion
We study the generalized logistic equation where the feedback is captured by the time convolution with a nonnegative measure and the diffusion is the laplacian plus the p-laplacian. We prove that the equation has an exponential attractor...
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
Exponential attractor for a planar shear-thinning flow
of the exponential attractor, using the so-called method of $ell$-trajectories.
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the dimension of the attractor for the wave equation with nonlinear damping
We consider the wave equation in a bounded 2 or 3d domain, where the damping and the lower-order nonlinearity are polynomial functions of certain growth. We estimate the dimension of the exponential attractor explicitly in terms of ...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay
and exponential attractors of finite fractal dimension. Our argument is based on the recently of global attractors for the case of closed evolutions....
BC - Teorie a systémy řízení
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
ON THE UNIQUENESS OF THE SOLUTION AND FINITE-DIMENSIONAL ATTRACTORS FOR THE 3D FLOW WITH DYNAMIC SLIP BOUNDARY CONDITION
also show existence of the global attractor and even a finite-dimensional exponential attractor.
Pure mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Differentiability of the solution operator and the dimension of the attractor for certain power-law fluids
. This enables us to use the Lyapunov exponents to estimate the dimension of the exponential attractor.
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model
We consider the so-called Ladyzhenskaya model of incompressible fluid, with an additional artificial smoothing term E >Delta(3). We establish the global existence, uniqueness, and regularity of solutions. Finally, we show that there exists an exponen...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Formation of a nontrivial finite-time stable attractor in a class of polyhedral sweeping processes with periodic input
, an attractor of a polyhedral sweeping process may be either exponentially stable or finite states that a sweeping process with periodic input has a global attractor which process with periodic input the attractor...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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