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Nonautonomous chemostats with variable delays
(Society for Industrial and Applied Mathematics, 2015)
The appearance of delay terms in a chemostat model can be fully justified since the future behavior of a dynamical system does not in general depend only on the present but also on its history. Sometimes only a short piece ...
Article
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Existence of positive solution of a nonlocal logistic population model
(Springer, 2015)
In this paper, we study the existence of positive solutions for a class of nonlocal problem arising in population dynamic. Basically, we prove our results via bifurcation theory.
Article
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Sobre la aproximación numérica de un problema de control geométrico
(Universitat de Barcelona, 1982)
The purpose of this paper is to introduce a new method for solving an optimum design problem: determining the aerodynamic body of minimum-drag profile at constant velocity in a viscous incompressible fluid. The stationnary ...
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Unconditionally energy stable fully discrete schemes for a chemo-repulsion model
(American Mathematical Society, 2019-09)
This work is devoted to studying unconditionally energy stable and mass-conservative numerical schemes for the following repulsive-productive chemotaxis model: find u ≥ 0, the cell density, and v ≥ 0, the chemical ...
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Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations
(Elsevier, 2020-01)
The main aim of this letter is to use the strong compact strong trajectory attractor to construct the strong trajectory statistical solutions for two-dimensional dissipative Euler equations. Further, it is established that ...
Presentation
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A domain decomposition method derived from the Primal Hybrid Formulations for 2nd order elliptic problems
(2007-09)
We consider the primal hybrid formulation for second order elliptic problems introduced by Raviart-Thomas and apply the classical iterative method of Uzawa to obtain a non overlapping domain decomposition method that ...
PhD Thesis
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Stochastic differential equations with non-instantaneous impulses driven by a fractional Brownian motion
(American Institute of Mathematical Sciences, 2017-09)
This paper is concerned with the existence and continuous dependence of mild solutions to stochastic differential equations with non-instantaneous impulses driven by fractional Brownian motions. Our approach is based on ...
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Homogenization of non-uniformly bounded periodic diffusion energies in dimension two
(IOP Publishing, 2009)
This paper deals with the homogenization of two-dimensional oscillating convex functionals, the densities of which are equicoercive but not uniformly bounded from above. Using a uniform-convergence result for the minimizers, ...