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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 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 ...
Capítulo de Libro
Remarks on the Control of Family of b–Equations
(Elsevier, 2019)
Presents cutting-edge results in the areas of control theory and PDEs, giving a broad picture of recent advances Contains contributions from leading experts Includes theoretical studies and models for applications
Capítulo de Libro
Attracting complex networks
(Springer, 2016)
Real phenomena from different areas of Life Sciences can be described by complex networks, whose structure is usually determining their intrinsic dynamics. On the other hand, Dynamical Systems Theory is a powerful tool for ...