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A review on the improved regularity for the primitive equations
(2005)
In this work we will study, some types of regularity properties of solutions for the geophysical model of hydrostatic Navier-Stokes equations, so-called the Primitive Equations (P E). Also, we will present some results ...
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An exponential growth condition in H^2 for the pullback attractor of a non-autonomous reaction-diffusion equation
(2001)
Some exponential growth results for the pullback attractor of a reaction-diffusion when time goes to ¡1 are proved in this paper. First, a general result about Lp\H1 0 exponential growth is established. Then, under ...
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Stochastic shell models driven by a multiplicative fractional Brownian-motion
(Elsevier, 2016-04-15)
We prove existence and uniqueness of the solution of a stochastic shell--model. The equation is driven by an infinite dimensional fractional Brownian--motion with Hurst--parameter H∈(1/2,1), and contains a non--trivial ...
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Attractors for a random evolution equation with infinite memory: Theoretical results
(American Institute of Mathematical Sciences, 2017-07)
The long-time behavior of solutions (more precisely, the existence of random pullback attractors) for an integro-differential parabolic equation of diffusion type with memory terms, more particularly with terms containing ...
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Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
(World Scientific Publishing, 2009-07)
We consider the finite element discretization of the Navier–Stokes equations locally coupled with the equation for the turbulent kinetic energy through an eddy viscosity. We prove a posteriori error estimates which allow ...
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Existence and regularity of the pressure for the stochastic Navier-Stokes equations
(Springer, 2003-10)
We prove, on one hand, that for a convenient body force with values in the distribution space (H−1(D))d, where D is the geometric domain of the fluid, there exist a velocity u and a pressure p solution of the stochastic ...
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Local and global strong solution by the semi-Galerkin method for the model of mass diffusion
(Sociedade Brasileira de Matemática, 2006)
In this work, we present some results for local and global in time solutions (defined in the time interval (0, T) with T < +∞ or T = +∞) for the model of mass diffusion by using the spectral semi-Galerkin approximations. ...
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Structure of the pullback attractor for a non-autonomous scalar differential inclusion
(American Institute of Mathematical Sciences, 2016-08)
The structure of attractors for differential equations is one of the main topics in the qualitative theory of dynamical systems. However, the theory is still in its infancy in the case of multivalued dynamical systems. ...
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Existence and uniqueness of solutions, and pullback attractor for a system of globally modified 3D-Navier-Stokes equations with finite delay
(Sociedad Española de Matemática Aplicada, 2010)
We first study the existence and uniqueness of strong solutions of a three dimensional system of globally modified Navier-Stokes equations with finite delay in the locally Lipschitz case. The asymptotic behaviour of ...
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Refuge versus dispersion in the logistic equation
(Elsevier, 2017-06-05)
In this paper we consider a logistic equation with nonlinear diffusion arising in population dynamics. In this model, there exists a refuge where the species grows following a Malthusian law and, in addition, there exists ...