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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
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Jimp - Článek v periodiku v databázi Web of Science
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On finite fractal dimension of the global attractor for the wave equation with nonlinear damping
Study the subcritical wave equation with nonlinear damping. We show that the global attractor has finite dimension both in 2 and 3-dimensional setting....
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A finite-dimensional attractor for three-dimensional flow of incompressible fluids
BA - Obecná matematika
- 1996 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Dynamics of trajectories and the finite-dimensional reduction of dissipative evolution equations
We consider a general class of evolution equations with nonlinear dissipation. Under minimal regularity assumptions, we show that the large-time dynamics can be uniquely described by a system of ODEs with infinite, but exponentially decaying memory. ...
BA - Obecná matematika
- 2007 •
- 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
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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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 for finite-time stability of the attractor, with upper estimates for the settling time states that a sweeping process wit...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Converging outer approximations to global attractors using semidefinite programming
attractor via an infinite dimensional linear programming problem (LP) in the space. For systems with polynomial dynamics, a hierarchy of finite-dimensional sum-of-squares for global attractors of continuo...
Automation and control systems
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Subshift attractors in cellular automata
isrecursively enumerable. We prove that a subshift of finite type is an attractorA subshift attractor is a two-sided subshift which is an attractor of a cellular automaton. We prove that each subshift attracto...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Strong solutions for two-dimensional nonlocal Cahn?Hilliard?Navier?Stokes systems
of global attractor for the corresponding dynamical system defined without uniqueness.In fact,even in the two-dimensional case, uniqueness of weak solutions is still show that any weak solution regularizes in finite time u...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Dynamics of second order in time evolution equations with state-dependent delay
and exponential attractors of finite fractal dimension. To obtain this result we adapt...
BD - Teorie informace
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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