82 citations · 270 across the 15 of their papers we have counts for
15 papers
Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensitivity
Juan Campos, Claudia García, Carlos Pulido +1
This paper investigates the existence of traveling--wave--type patterns in the Keller--Segel model with logarithmic sensitivity. We consider both the linear diffusion case and the…
Hydrodynamic limit of a coupled Cucker-Smale system with strong and weak internal variable relaxation
Jeongho Kim, David Poyato, Juan Soler
In this paper, we present the hydrodynamic limit of a multiscale system describing the dynamics of two populations of agents with alignment interactions and the effect of an intern…
Global weak solutions to the relativistic BGK equation
Juan Calvo, Pierre-Emmanuel Jabin, Juan Soler
In this paper the global existence of weak solutions to the relativistic BGK model for the relativistic Boltzmann equation is analyzed. The proof relies on the strong compactness o…
Cross-diffusion and traveling waves in porous-media flux-saturated Keller-Segel models
Margarita Arias, Juan Campos, Juan Soler
This paper deals with the analysis of qualitative properties involved in the dynamics of Keller-Segel type systems in which the diffusion mechanisms of the cells are driven by poro…
Filippov trajectories and clustering in the Kuramoto model with singular couplings
Jinyeong Park, David Poyato, Juan Soler
We study the synchronization of a generalized Kuramoto system in which the coupling weights are determined by the phase differences between oscillators. We employ the fast-learning…
Non uniform rotating vortices and periodic orbits for the two-dimensional Euler Equations
Claudia García, Taoufik Hmidi, Juan Soler
This paper concerns the study of some special ordered structures in turbulent flows. In particular, a systematic and relevant methodology is proposed to construct non trivial and n…
Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker-Smale models
David Poyato, Juan Soler
This paper deals with the derivation and analysis of a compressible Euler-type equation with singular commutator, which is derived from a hyperbolic limit of the kinetic descriptio…
Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge
Yukimi Goto
We consider bosonic Coulomb systems with -particles and static nuclei. Let denote the ground state energy of a bosonic molecule of the total nuclear charge . We p…
From a systems theory of sociology to modeling the onset and evolution of criminality
N. Bellomo, F. Colasuonno, D. Knopoff +1
This paper proposes a systems theory approach to the modeling of onset and evolution of criminality in a territory, which aims at capturing the complexity features of social system…
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…
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…
On the relativistic BGK-Boltzmann model: asymptotics and hydrodynamics
Abdel Bellouquid, Juan Calvo, Juanjo Nieto +1
The generalization of the BGK relaxation model to the special relativity setting is revisited here. We deal with several issues related to this relativistic kinetic model which see…
On a nonlinear flux--limited equation arising in the transport of morphogens
Fuensanta Andreu, Juan Calvo, José M. Mazón +1
Motivated by a mathematical model for the transport of morphogenes in biological systems, we study existence and uniqueness of entropy solutions for a mixed initial-boundary value…
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…