Results 11 to 20 of about 205 (38)
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
, 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
Quantum Zakharov Model in a Bounded Domain [PDF]
, 2011 We consider an initial boundary value problem for a quantum version of the Zakharov system arising in plasma physics. We prove the global well-posedness of this problem in some Sobolev type classes and study properties of solutions.
A. Babin +23 more
core +1 more source
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
Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations [PDF]
, 2018 In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion equation is proved. Next, the existence of minimal pullback attractors in the L2 -norm in the frameworks of universes of fixed ...
Caraballo Garrido, Tomás +2 more
core +1 more source
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
Strong solutions for two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems [PDF]
, 2013 A well-known diffuse interface model for incompressible isothermal mixtures of two immiscible fluids consists of the Navier-Stokes system coupled with a convective Cahn-Hilliard equation.
Frigeri, Sergio +2 more
core +2 more sources
, 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
Convective nonlocal Cahn-Hilliard equations with reaction terms [PDF]
, 2014 We introduce and analyze the nonlocal variants of two Cahn-Hilliard type equations with reaction terms. The first one is the so-called Cahn-Hilliard-Oono equation which models, for instance, pattern formation in diblock-copolymers as well as in binary ...
Della Porta, Francesco +1 more
core +1 more source
On the Cahn-Hilliard-Brinkman system [PDF]
, 2014 We consider a diffuse interface model for phase separation of an isothermal incompressible binary fluid in a Brinkman porous medium. The coupled system consists of a convective Cahn-Hilliard equation for the phase field $\phi$, i.e., the difference of ...
Bosia, Stefano +2 more
core +2 more sources