286 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of ConcepciónCL74 papers
- Pontificia Universidad Católica de ValparaísoCL33 papers
- Universidad Michoacana de San Nicolás de HidalgoMX20 papers
- Federico Santa María Technical UniversityCL19 papers
- Pontificia Universidad Católica de ChileCL15 papers
- Universidad Nacional Autónoma de MéxicoMX15 papers
- University of ChileCL15 papers
- University of La SerenaCL14 papers
- University of Cape TownZA13 papers
- Universidad de Santiago de ChileCL12 papers
- Universidad Católica de la Santísima ConcepciónCL10 papers
- University of ValparaísoCL10 papers
15 papers · 1 filter
Global attractors for the Signorini problem with pointwise damping
Jaime E. Muñoz Rivera, Maria Grazia Naso
The existence of global attractors is investigated for the Signorini problem with pointwise dissipation. It is shown that both the semilinear Signorini problem and the elastic obst…
On the regularity for thermoelastic systems of phase-lag parabolic type
Jaime Muñoz Rivera, Elena Ochoa Ochoa, Ramón Quintanilla
In this article, we investigate the maximal smoothness (infinite differentiability) of solutions to thermoelastic models, specifically those where the heat equation is of the ``pha…
Thermoelastic plates with type I heat conduction with second gradient
Jaime Muñoz Rivera, Elena Ochoa Ochoa, Ramón Quintanilla
This paper investigates the qualitative properties of thermoelastic plates modeled by the second-gradient theory with a Type I heat equation. We establish the exponential stability…
Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks
Mauricio Sepulveda, Nicolas Torres, Luis Miguel Villada
The elapsed time equation is an age-structured model that describes the dynamics of interconnected spiking neurons through the elapsed time since the last discharge, leading to man…
Well-posedness and stability of a generalized micropolar thermoelastic body with infinite memory
Aissa Guesmia, Jaime Muñoz Rivera, Mauricio Sepúlveda +1
We study in this paper the well-posedness and stability of a linear system of a thermoelastic Cosserat medium with infinite memory, where the Cosserat medium is a continuum in whic…
Laminated Timoshenko beams with interfacial slip and infinite memories
Aissa Guesmia, Jaime Muñoz Rivera, Mauricio Sepúlveda +1
We study in this paper the well-posedness and stability of three structures with interfacial slip and two infinite memories effective on the transverse displacement and the rotatio…
The Initial-boundary value problem for the Lifshitz-Slyozov equation with non-smooth rates at the boundary
Juan Calvo, Erwan Hingant, Romain Yvinec
We prove existence and uniqueness of solutions to the initial-boundary value problem for the Lifshitz--Slyozov equation (a nonlinear transport equation on the half-line), focusing…
Mathematical analysis and numerical solution of models with dynamic Preisach hysteresis
A. Bermúdez, D. Gómez, P. Venegas
Hysteresis is a phenomenon that is observed in a great variety of physical systems, which leads to a nonlinear and multivalued behavior, making their modeling and control difficult…
High order numerical schemes for one-dimension non-local conservation laws
Christophe Chalons, Paola Goatin, Luis Villada
This paper focuses on the numerical approximation of the solutions of non-local conservation laws in one space dimension. These equations are motivated by two distinct applications…
Quasi steady state approximation of the small clusters in Becker-Döring equations leads to boundary conditions in the Lifshitz-Slyozov limit
Julien Deschamps, Erwan Hingant, Romain Yvinec
This papers addresses the connection between two classical models of phase transition phenomena describing different stages of the growth of clusters. The Becker-Döring model (BD)…
Periodic solution and asymptotic stability for the magnetohydrodynamic equations with inhomogeneous boundary condition
Igor Kondrashuk, Eduardo A. Notte-Cuello, Mariano Poblete-Cantellano +1
We show, using the spectral Galerkin method together with compactness arguments, existence and uniqueness of the periodic strong solutions for the magnetohydrodynamics's type equat…
Solution and Asymptotic Behavior for a Nonlocal Coupled System of Reaction-Diffusion
Carlos Alberto Raposo, Mauricio Sepulveda, Octavio Vera +2
This paper concerns with existence, uniqueness and asymptotic behavior of the solutions for a nonlocal coupled system of reaction-diffusion. We prove the existence and uniqueness o…
Gain of Regularity for the KP-I Equation
Julie Levandosky, Mauricio Sepulveda, Octavio Vera
In this paper we study the smoothness properties of solutions to the KP-I equation. We show that the equation's dispersive nature leads to a gain in regularity for the solution. In…
Smoothing properties for the higher order nonlinear Schrödinger equation with constant coefficients
Mauricio Sepulveda, Octavio Vera
We study local and global existence and smoothing properties for the initial value problem associated to a higher order nonlinear Schrödinger equation with constant coefficients wh…
Analycity and smoothing effect for the coupled system of equations of Korteweg - de Vries type with a single point singularity
Mauricio Sepulveda, Octavio Vera
We study that a solution of the initial value problem associated for the coupled system of equations of Korteweg - de Vries type which appears as a model to describe the strong int…