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Mostrando ítems 11-20 de 38
Artículo
Regularity of pullback attractors and attraction in H1 in arbitrarily large finite intervals for 2D Navier-Stokes equations with infinite delay
(American Institute of Mathematical Sciences, 2014)
In this paper we strengthen some results on the existence and properties of pullback attractors for a non-autonomous 2D Navier-Stokes model with infinite delay. Actually we prove that under suitable assumptions, and thanks ...
Artículo
Probabilistic Representation of Solutions for Quasi-Linear Parabolic Pde Via Fbsde with Reflecting Boundary Conditions
(, 2010)
A probabilistic representation of the solution (in the viscosity sense) of a quasi-linear parabolic PDE system with non-lipschitz terms and a Neumann boundary condition is given via a fully coupled forward-backward stochastic ...
Artículo
Global Attractor and Omega-Limit Sets Structure for a Phase-Field Model of Thermal Alloys
(Elsevier, 2012)
In this paper, the existence of weak solutions is established for a phase-field model of thermal alloys supplemented with Dirichlet boundary conditions. After that, the existence of global attractors for the associated ...
Artículo
Solutions of The 3D Navier-Stokes Equations for Initial Data In H¿1/2: Robustness of Regularity and Numerical Verification of Regularity for Bounded Sets of Initial Data In H¿1
(Elsevier, 2013)
We consider the three-dimensional Navier–Stokes equations on a periodic domain. We give a simple proof of the local existence of solutions in View the MathML source, and show that the existence of a regular solution on a ...
Artículo
Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results
(Nicolaus Copernicus University in Torun, Juliusz Schauder Centre for Nonlinear Studies, 2015-06)
In this work we study several questions concerning to abstract fractional Cauchy problems of order α ∈ (0, 1). Concretely, we analyze the existence of local mild solutions for the problem, and its possible continuation ...
Artículo
Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing
(American Institute of Mathematical Sciences, 2014)
This paper treats the existence of pullback attractors for the non-autonomous 2D Navier--Stokes equations in two different spaces, namely L^2 and H^1. The non-autonomous forcing term is taken in L^2_{\rm loc}(\mathbb ...
Artículo
Dynamics of wave equations with moving boundary
(Elsevier, 2017-03-05)
This paper is concerned with long-time dynamics of weakly damped semilinear wave equations defined on domains with moving boundary. Since the boundary is a function of the time variable the problem is intrinsically ...
Artículo
Negatively Invariant Sets and Entire Solutions
(Springer Verlag (Germany), 2011)
Negatively invariant compact sets of autonomous and nonautonomous dynamical systems on a metric space, the latter formulated in terms of processes, are shown to contain a strictly invariant set and hence entire solutions. ...
Artículo
The Envelope Attractor of Non-Strict Multivalued Dynamical Systems with Application To The 3D Navier-Stokes and Reaction-Diffusion Equations
(Springer Verlag (Germany), 2013)
Multivalued semiflows generated by evolution equations without uniqueness sometimes satisfy a semigroup set inclusion rather than equality because, for example, the concatentation of solutions satisfying an energy inequality ...
Artículo
Pullback Attractors for Globally Modified Navier-Stokes Equations with Infinite Delays
(American Institute of Mathematical Sciences (AIMS), 2011)
Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay terms are established. Moreover, we also analyze the stationary problem and, under suitable additional ...