41 citations · 103 across the 8 of their papers we have counts for
3 papers · 1 filter
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…