41 citations · 103 across the 8 of their papers we have counts for
8 papers
Qualitative behavior for flux-saturated mechanisms: Traveling waves, waiting time and smoothing effects
Juan Calvo, Juan Campos, Vicent Caselles +2
This paper is devoted to the analysis of qualitative properties of flux-saturated type operators in dimension one. Specifically, we study regularity properties and smoothing effect…
Pattern formation in a flux limited reaction-diffusion of porous media type
J. Calvo, J. Campos, V. Caselles +2
A nonlinear PDE featuring flux limitation effects together with those of the porous media equation (nonlinear Fokker-Planck) is presented in this paper. We analyze the balance of s…
Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle
Isabelle Catto, Jean Dolbeault, Óscar Sánchez +1
This paper is intended to review recent results and open problems concerning the existence of steady states to the Maxwell-Schrödinger system. A combination of tools, proofs and re…
Virial inequalities for steady states in relativistic galactic dynamics
Simone Calogero, Juan Calvo, Óscar Sánchez +1
It is well known that steady states of the Vlasov-Poisson system, a widely used model in non-relativistic galactic dynamics, have negative energy. In this paper we derive the analo…
Dispersive behavior in Galactic Dynamics
Simone Calogero, Juan Calvo, Óscar Sánchez +1
The purpose of this paper is to study the relations between different concepts of dispersive solution for the Vlasov-Poisson system in the gravitational case. Moreover we give nece…
Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity
Simone Calogero, Oscar Sanchez, Juan Soler
The Nordström-Vlasov system is a relativistic Lorentz invariant generalization of the Vlasov-Poisson system in the gravitational case. The asymptotic behavior of solutions and the…