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Listar por autor "Lizama, Carlos"

Mostrando ítems 1-8 de 8

Chaotic behaviour of the solutions of the Moore-Gibson-Thompson equation

Conejero, J. Alberto; Lizama, Carlos; Ródenas Escribá, Francisco de Asís (Natural Sciences Publishing, 2015-09)

[EN] We study a third-order partial differential equation in the form $\tau u_{ttt} +\alpha u_{tt} -c^2 u_{xx} -b u_{xxt} =0, (1)$$ that corresponds to the one-dimensional version of the Moore-Gibson-Thompson equation ...
L-p - L-q-Maximal regularity of the Van Wijngaarden-Eringen equation in a cylindrical domain

Lizama, Carlos; Murillo Arcila, Marina (2020-10-20)

[EN] We consider the maximal regularity problem for a PDE of linear acoustics, named the Van Wijngaarden-Eringen equation, that models the propagation of linear acoustic waves in isothermal bubbly liquids, wherein the ...
Linear dynamics of semigroups generated by differential operators

Conejero, J. Alberto; Lizama, Carlos; Murillo Arcila, Marina; Peris Manguillot, Alfredo (De Gruyter Open, 2017-06-09)

[EN] During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the ...
Maximal regularity for time-stepping schemes arising from convolution quadrature of non-local in time equations

Lizama, Carlos; Murillo Arcila, Marina (American Institute of Mathematical Sciences, 2022-08)

[EN] We study discrete time maximal regularity in Lebesgue spaces of sequences for time-stepping schemes arising from Lubich's convolution quadrature method. We show minimal properties on the quadrature weights that ...
Nonlocal operators are chaotic

Lizama, Carlos; Murillo Arcila, Marina; Peris Manguillot, Alfredo (American Institute of Physics, 2020-10)

[EN] We characterize for the first time the chaotic behavior of nonlocal operators that come from a broad class of time-stepping schemes of approximation for fractional differential operators. For that purpose, we use ...
On a connection between the N-dimensional fractional Laplacian and 1-D fractional operators on lattices

Lizama, Carlos; Murillo Arcila, Marina (Elsevier, 2022-07-01)

[EN] We show the remarkable fact that the nonlocal property of the discrete N dimensional fractional Laplacian acting in the second variable of the lattice N x Z(N) can be exchanged with an equivalent memory corresponding ...
On the existence of chaos for the viscous van Wijngaarden-Eringen equation

Conejero Casares, José Alberto; Lizama, Carlos; Murillo Arcila, Marina (Elsevier, 2016)

We study the viscous van Wijngaarden–Eringen equation: ∂2u ∂t2 − ∂2u ∂x2 = (Red)−1 ∂3u ∂t∂x2 + a2 0 ∂4u ∂t2∂x2 (1) which corresponds to the linearized version of the equation that models the acoustic planar propagation ...
Recovering discrete delayed fractional equations from trajectories

Conejero, J. Alberto; Garibo-i-Orts, Óscar; Lizama, Carlos (John Wiley & Sons, 2023-03-26)

[EN] We show how machine learning methods can unveil the fractional and delayed nature of discrete dynamical systems. In particular, we study the case of the fractional delayed logistic map. We show that given a trajectory, ...