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Artículo
Cooperative systems with any number of species
(Brown University, 2003-12)
In this paper we study the positive solutions of a cooperative system of any number of equations which considers the case of the slow diffusion and includes the Lotka-Volterra model. We determine conditions of existence of ...
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On the singular times of fluids with nonlinear viscosity
(Elsevier, 2001-11-15)
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Stability and uniqueness for cooperative degenerate Lotka-Volterra model
(Elsevier, 2002-06)
In this work we deal with the existence, stability and uniqueness of positive solution of the symbiotic Lotka-Volterra degenerate model. We study and characterize the existence of the principal eigenvalue for weakly coupled ...
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On the uniqueness of weak solutions of the two-dimensional primitive equations
(Ohio University Press, 2003-01)
The uniqueness of weak solutions of the primitive equations with Dirichlet boundary conditions at the bottom is an open problem even in the two dimensional case. The aim of this paper is to prove the uniqueness of weak ...
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Analysis of an augmented mixed-FEM for the Navier-Stokes problem
(American Mathematical Society, 2016)
In this paper we propose and analyze a new augmented mixed finite element method for the Navier-Stokes problem. Our approach is based on the introduction of a “nonlinearpseudostress” tensor linking the pseudostress tensor ...
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Anisotropic estimates and strong solutions of the primitive equations
(Ohio University Press, 2001-01)
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Asymptotic derivation of a Navier condition for the primitive equations
(IOS Press, 2003-03)
This paper is devoted to the establishment of a friction boundary condition associated with hydrostatic Navier-Stokes equations (also called primitive equations). Usually the Navier boundary condition is used, as a wall ...
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Pullback permanence in a non-autonomous competitive Lotka-Volterra model
(Elsevier, 2003-05-01)
The goal of this work is to study in some detail the asymptotic behaviour of a non-autonomous Lotka-Volterra model, both in the conventional sense (as t → ∞) and in the “pullback” sense (starting a fixed initial condition ...
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Nonnegative solutions for the degenerate logistic indefinite sublinear equation
(Elsevier, 2003-01)
The goal of this paper is to study the nonnegative steady-states solutions of the degenerate logistic indefinite sublinear problem. We combine bifurcation method and linking local subsupersolution technique to show the ...
Artículo
A corrector for the Sverdrup solution for a domain with islands
(Taylor & Francis, 2004-03)
In this paper we look at the influence of the Coriolis force on the quasi-geostrophic equations on a domain with islands. We prove that asymptotically we obtain the solution of the Sverdrup equation with homogeneous Dirichlet ...