Results 11 to 20 of about 211 (42)
The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors [PDF]
, 2017 We prove an estimation of the Kolmogorov ε-entropy in H of the unitary ball in the space V, where H is a Hilbert space and V is a Sobolev-like subspace of H. Then, by means of Zelik’s result, an estimate of the fractal dimension of the attractors of some
Anguiano Moreno, María, Haraux, Alain
core +2 more sources
, 2007 We obtain a logarithmically sharp estimate for the space-analyticity radius of the solutions of the damped-driven 2D Navier-Stokes equations with periodic boundary conditions and relate this to the small scales in this system.
Ilyin, Alexei A., Titi, Edriss S.
core +3 more sources
Robustness of time-dependent attractors in H1-norm for nonlocal problems [PDF]
, 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
Asymptotic Behavior of the Newton-Boussinesq Equation in a Two-Dimensional Channel [PDF]
, 2007 We prove the existence of a global attractor for the Newton-Boussinesq equation defined in a two-dimensional channel. The asymptotic compactness of the equation is derived by the uniform estimates on the tails of solutions.
Fucci, Guglielmo +2 more
core +2 more sources
Bilinear Fractal Interpolation and Box Dimension
, 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
Determining modes for the surface Quasi-Geostrophic equation
, 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
A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics [PDF]
, 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
Veterinary 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]
, 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
Embedding of global attractors and their dynamics [PDF]
, 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