Results 21 to 30 of about 217 (41)

Robustness of time-dependent attractors in H1-norm for nonlocal problems [PDF]

open access: yes, 2018
In this paper, the existence of regular pullback attractors as well as their upper semicontinuous behaviour in H1-norm are analysed for a parameterized family of non-autonomous nonlocal reaction-diffusion equations without uniqueness, improving previous ...
Caraballo Garrido, Tomás   +2 more
core   +1 more source

Determining modes for the surface Quasi-Geostrophic equation

open access: yes, 2018
We introduce a determining wavenumber for the surface quasi-geostrophic (SQG) equation defined for each individual trajectory and then study its dependence on the force.
Cheskidov, Alexey, Dai, Mimi
core   +1 more source

Embedding of global attractors and their dynamics [PDF]

open access: yes, 2010
Using shape theory and the concept of cellularity, we show that if $A$ is the global attractor associated with a dissipative partial differential equation in a real Hilbert space $H$ and the set $A-A$ has finite Assouad dimension $d$, then there is an ...
de Moura, Eleonora Pinto   +2 more
core   +1 more source

Establishment of clinical criteria for the diagnosis of adverse food reactions in dogs with atopic dermatitis

open access: yesVeterinary Dermatology, Volume 35, Issue 4, Page 418-431, August 2024.
Background – Diagnosis of canine adverse food reactions (AFRs) is based on vague criteria, such as ‘>50% improvement’ during elimination diet trial (EDT) followed by ‘deterioration’ during provocation test (PT). Objective – The objective of the study was to use predefined criteria to evaluate response during EDT [i.e., Owner Global Assessment of ...
Evi I. Sofou   +4 more
wiley   +1 more source

The conflict interaction between two complex systems. Cyclic migration [PDF]

open access: yes, 2008
We construct and study a discrete time model describing the conflict interaction between two complex systems with non-trivial internal structures. The external conflict interaction is based on the model of alternative interaction between a pair of non ...
Albeverio, S.   +2 more
core   +1 more source

Bilinear Fractal Interpolation and Box Dimension

open access: yes, 2014
In the context of general iterated function systems (IFSs), we introduce bilinear fractal interpolants as the fixed points of certain Read-Bajraktarevi\'{c} operators.
Barnsley, Michael F.   +1 more
core   +1 more source

The conflict triad dynamical system

open access: yes, 2010
A dynamical model of the natural conflict triad is investigated. The conflict interacting substances of the triad are: some biological population, a living resource, and a negative factor (e.g., infection diseases).
Koshmanenko, Volodymyr, Samoilenko, Igor
core   +1 more source

A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics [PDF]

open access: yes, 2018
The purpose of this paper is to give a characterization of the structure of non-autonomous attractors of the problem $u_t= u_{xx} + \lambda u - \beta(t)u^3$ when the parameter $\lambda > 0$ varies.
Broche, Rita de Cássia D. S.   +2 more
core   +2 more sources

On the existence of an inertial manifold for a deconvolution model of the 2D mean Boussinesq equations

open access: yes, 2017
We show the existence of an inertial manifold (i.e. a globally invariant, exponentially attracting, finite-dimensional manifold) for the approximate deconvolution model of the 2D mean Boussinesq equations.
Adams   +26 more
core   +1 more source

Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction

open access: yes, 2017
In this paper we study the long-time behavior of a nonlocal Cahn-Hilliard system with singular potential, degenerate mobility, and a reaction term. In particular, we prove the existence of a global attractor with finite fractal dimension, the existence ...
Iuorio, Annalisa, Melchionna, Stefano
core   +2 more sources

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