Results 21 to 30 of about 217 (41)
Robustness of time-dependent attractors in H1-norm for nonlocal problems [PDF]
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
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]
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
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]
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
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
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]
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
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
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

