6 citations · 15 across the 26 of their papers we have counts for
29 papers
Flux solutions for stochastic chemical systems with sources and sinks
E. Franco, J. J. L. Velázquez
In this paper we study a class of stochastic chemical systems that, in general, do not satisfy the property of detailed balance nor the property of complex balance. These systems a…
Instability estimates for the recovery of absorption in the diffusive regime of radiative transfer
Elena Demattè, Alessandro Felisi, Angkana Rüland +1
We revisit the instability properties of the recovery of the absorption coefficient for the radiative transfer equation in the diffusive regime. To this end, we develop a rather ro…
Delay periodic Lyapunov equation
Irina V. Aleksandrova, Juan J. L. Velázquez
For linear periodic finite-dimensional systems, it is well-known that, first, exponential stability is equivalent to the existence of a unique periodic positive definite solution t…
Analysis of a three-dimensional fluid flow in rotating cylinders
Juri Joussen, Janne Laudien, Christina Lienstromberg +1
Subject of consideration is the modelling and analysis of a capillary-driven three-dimensional rimming-flow problem. We present the derivation of a fourth-order quasilinear degener…
A note on instantaneous gelation for coagulation kernels vanishing on the diagonal
Iulia Cristian, Barbara Niethammer, Juan J. L. Velázquez
We prove that instantaneous gelation (i.e., instantaneous loss of mass) occurs for coagulation equations with sum-type kernels of homogeneity greater than one which vanish on the d…
Traveling waves for a two-phase Stefan problem with radiation
Elena Demattè, Juan J. L. Velázquez
In this paper we study the existence of traveling wave solutions for a free-boundary problem modeling the phase transition of a material where the heat is transported by both condu…
Asymptotic Velocity Profiles for Homoenergetic Rayleigh-Boltzmann Flows under Dominant Shear
Nicola Miele, Alessia Nota, Juan J. L. Velázquez
In this paper, we study a particular class of solutions to the Rayleigh--Boltzmann equation, known in the nonlinear setting as \emph{homoenergetic solutions}. These solutions take…
Well-posedness for a two-phase Stefan problem with radiation
Elena Demattè, Juan J. L. Velázquez
In this paper we consider a free boundary problem for the melting of ice where we assume that the heat is transported by conduction in both the liquid and the solid part of the mat…
Effective Dynamics and Blow Up in a Model of Magnetic Relaxation
Dimitri Cobb, Daniel Sánchez-Simón del Pino, Juan J. L. Velázquez
In this article we study a one dimensional model for Magnetic Relaxation. This model was introduced by Moffatt and describes a low resistivity viscous plasma, in which the pressure…
The adaptation property in non-equilibrium chemical systems
E. Franco, J. J. L. Velázquez
The goal of this paper is to understand if the property of adaptation, which is a typical property of many biochemical systems, can be achieved only by biological systems that acti…
The detailed balance property and chemical systems out of equilibrium
E. Franco, J. J. L. Velázquez
The detailed balance property is a fundamental property that must be satisfied in all the macroscopic systems with a well defined temperature at each point. On the other hand, many…
Homoenergetic solutions for the Rayleigh-Boltzmann equation: existence of a stationary non-equilibrium solution
Nicola Miele, Alessia Nota, Juan J. L. Velázquez
In this paper we consider a particular class of solutions of the linear Boltzmann-Rayleigh equation, known in the nonlinear setting as Homoenergetic solutions. These solutions desc…
Solvability of MHS equations with Grad-Rubin boundary conditions in general domains
Daniel Sánchez-Simón del Pino, Juan J. L. Velázquez
In this paper we study the solvability of the magnetohydrostatic equations with Grad-Rubin boundary conditions in general domains. Earlier results for this problem were obtained in…
Equilibrium and Non-Equilibrium diffusion approximation for the radiative transfer equation
Elena Demattè, Juan J. L. Velázquez
In this paper we study the distribution of the temperature within a body where the heat is transported only by radiation. Specifically, we consider the situation where both emissio…
Asymptotic Analysis of a bi-monomeric nonlinear Becker-D{ö}ring system
Marie Doumic, Klemens Fellner, Mathieu Mezache +1
To provide a mechanistic explanation of sustained {then} damped oscillations observed in a depolymerisation experiment, a bi-monomeric variant of the seminal Becker-Döring system h…
Multi-parameter Hopf bifurcations of rimming flows
Illya M. Karabash, Christina Lienstromberg, Juan J. L. Velázquez
In order to investigate the emergence of periodic oscillations of rimming flows, we study analytically the stability of steady states for the model of (Benilov, Kopteva, O'Brien, 2…
A stochastic version of the Hopfield-Ninio kinetic proofreading model
Eugenia Franco, Juan J. L. Velázquez
In this paper we study a simple stochastic version of the Hopfield-Ninio kinetic proofreading model. The model is characterized by means of two parameters, the unbinding time, whic…
On an inhomogeneous coagulation model with a differential sedimentation kernel
Iulia Cristian, Barbara Niethammer, Juan J. L. Velázquez
We study an inhomogeneous coagulation equation that contains a transport term in the spatial variable modeling the sedimentation of clusters. We prove local existence of mass conse…
Properties of some dynamical systems for three collapsing inelastic particles
Théophile Dolmaire, Juan J. L. Velázquez
In this article we continue the study of the collapse of three inelastic particles in dimension , complementing the results we obtained in its companion paper. We focus o…
An Alexander-like theorem for a particle model with inelastic collisions
Théophile Dolmaire, Juan J. L. Velázquez
We consider a finite system of hard spheres that collide inelastically according to a particular model, losing a fixed amount of kinetic energy at each collision. We develop the th…
Collapse of inelastic hard spheres in dimension
Théophile Dolmaire, Juan J. L. Velázquez
We investigate the collapse of three inelastic particles in dimension . We obtain general results of convergence and asymptotics concerning the variables of the dynamical…
Characterizing the detailed balance property by means of measurements in chemical networks
Eugenia Franco, Bernhard Kepka, Juan J. L. Velázquez
In this paper we study how to determine if a linear biochemical network satisfies the detailed balance condition, without knowing the details of all the reactions taking place in t…
The three dimensional magneto-hydrostatic equations with Grad-Rubin boundary value
Diego Alonso-Orán, Daniel Sánchez-Simón del Pino, Juan J. L. Velázquez
In this work, we study the well-posedness of the three dimensional magneto-hydrostatic equation under Grad-Rubin boundary value conditions. The proof relies on a fixed point argume…
Interface behavior for the solutions of a mass conserving free boundary problem modeling cell polarization
Anna Logioti, Barbara Niethammer, Matthias Röger +1
We consider a parabolic non-local free boundary problem that has been derived as a limit of a bulk-surface reaction-diffusion system which models cell polarization. In previous pap…