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Capítulo de Libro
Well-balanced Finite Volume schemes: some stability and convergence results
(Universidad de Zaragoza, 2003)
We report a stability and convergence analysis for some simplified well-balanced Finite Volume solvers of Hyperbolic Systems of Conservation Laws. These are specific solvers, recently introduced, that balance all steady ...
Capítulo de Libro
The control of PDEs: some basic concepts, recent results and open problems
(Jindřich Nečas Center for Mathematical Modeling, 2012)
These Notes deal with the control of systems governed by some PDEs. I will mainly consider time-dependent problems. The aim is to present some fundamental results, some applications and some open problems related to the ...
Capítulo de Libro
The sub-supersolution method for Kirchhoff systems: applications
(Springer, 2015)
In this paper we prove that the sub-supersolution method works for general Kirchhoff systems. We apply the cited method to prove the existence of positive solutions for some specific models.
Capítulo de Libro
Low rank approximation of multidimensional data
(Springer, 2019)
In the last decades, numerical simulation has experienced tremendous improvements driven by massive growth of computing power. Exascale computing has been achieved this year and will allow solving ever more complex problems. ...
Capítulo de Libro
Some indefinite nonlinear eigenvalue problems
(World Scientific, 2004)
In this work we study the structure of the set of positive solutions of a nonlinear eigenvalue problem with a weight changing sign. Specifically, the reaction term arises from a population dynamic model. We use mainly ...
Capítulo de Libro
Some properties on the Q-Tensor system
(Universidad de Zaragoza, 2014)
We study the coupled Navier-Stokes and Q-Tensor system (analyzed in cf. [Paicu, M., and Zarnescu, A. Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system. Arch. Ration. Mech. Anal. 203 (2012), ...
Capítulo de Libro
Some aspects concerning the dynamics of stochastic chemostats
(Springer, 2016)
In this paper we study a simple chemostat model influenced by white noise which makes this kind of models more realistic. We use the theory of random attractors and, to that end, we first perform a change of variable using ...
Capítulo de Libro
A random model for immune response to virus in fluctuating environments
(Springer, 2016)
In this work we study a model for virus dynamics with a random immune response and a random production rate of susceptible cells from cell proliferation. In traditional models for virus dynamics, the rate at which the ...
Capítulo de Libro
Lévy-areas of Ornstein-Uhlenbeck processes in Hilbert-spaces
(Springer, 2015)
In this paper we investigate the existence and some useful properties of the Lévy areas of Ornstein-Uhlenbeck processes associated to Hilbert-space-valued fractional Brownian-motions with Hurst parameter H ∈ (1/3, 1/2]. ...
Capítulo de Libro
On the regularity of the Q-Tensor depending on the data
(Universidad de Zaragoza, 2015)
The coupled Navier-Stokes and Q-Tensor system is one of the models used to describe the behavior of the nematic liquid crystals, an intermediate phase between crystalline solids and isotropic fluids. These equations model ...