19 citations · 50 across the 31 of their papers we have counts for
40 papers
The fuzzy Landau equation: global well-posedness and Fisher information
Maria Pia Gualdani, Nestor Guillen, Nataša Pavlović +2
We investigate a fuzzy variant of the inhomogeneous Landau equation and establish global-in-time existence and uniqueness of smooth solutions for a range of soft potentials. The sp…
Fractional cross-diffusion in a bounded domain: existence, weak-strong uniqueness, and long-time asymptotics
Nicola De Nitti, Nicola Zamponi
We study a fractional cross-diffusion system that describes the evolution of multi-species populations in the regime of large-distance interactions in a bounded domain. We prove ex…
A quasilinear Keller-Segel model with saturated discontinuous advection
Maria Gualdani, Mikel Ispizua, Nicola Zamponi
We consider the singular limit of a chemotaxis model of bacterial collective motion recently introduced in arXiv:2009.11048 [math.AP]. The equation models aggregation-diffusion phe…
Global weak solutions for a nonlocal multispecies Fokker-Planck-Landau system
Jingwei Hu, Ansgar Jüngel, Nicola Zamponi
The global-in-time existence of weak solutions to a spatially homogeneous multispecies Fokker-Planck-Landau system for plasmas in the three-dimensional whole space is shown. The Fo…
Partial Hölder Regularity for Solutions of a Class of Cross-Diffusion Systems with Entropy Structure
Marcel Braukhoff, Claudia Raithel, Nicola Zamponi
In this article we show a -partial regularity result for solutions of a certain class of cross-diffusion systems with entropy structure. Under slightly more stringent cond…
Three-species drift-diffusion models for memristors
Clément Jourdana, Ansgar Jüngel, Nicola Zamponi
A system of drift-diffusion equations for the electron, hole, and oxygene vacancy densities in a semiconductor, coupled to the Poisson equation for the electric potential, is analy…
Global weak solutions to the compressible Cucker-Smale-Navier-Stokes system in a bounded domain
Li Chen, Yue Li, Nicola Zamponi
A coupled kinetic-fluid model is investigated, which describes the dynamic behavior of an ensemble of Cucker-Smale flocking particles interacting with a viscous fluid in a three-di…
Analysis of a fractional cross-diffusion system for multi-species populations
Ansgar Jüngel, Nicola Zamponi
The global in time existence of weak solutions to a cross-diffusion system with fractional diffusion in the whole space is proved. The equations describe the evolution of multi-spe…
Connection between a degenerate particle flow model and a free boundary problem
Li Chen, Simone Göttlich, Nicola Zamponi
In this paper a strongly degenerate parabolic equation derived from a density dependent particle flow model is studied. Furthermore, a free boundary problem and its connection to t…
Global weak solutions to the Vlasov-Poisson-Fokker-Planck-Navier-Stokes system
Li Chen, Fucai Li, Yue Li +1
We consider the compressible Vlasov-Poisson-Fokker-Planck-Navier-Stokes system in a three dimensional bounded domain with nonhomogeneous Dirichlet boundary conditions. The system d…
Analysis and mean-field derivation of a porous-medium equation with fractional diffusion
Li Chen, Alexandra Holzinger, Ansgar Jüngel +1
A mean-field-type limit from stochastic moderately interacting many-particle systems with singular Riesz potential is performed, leading to nonlocal porous-medium equations in the…
Existence of smooth solutions to the Landau-Fermi-Dirac equation with Coulomb potential
William Golding, Maria Pia Gualdani, Nicola Zamponi
In this paper, we prove global-in-time existence and uniqueness of smooth solutions to the homogeneous Landau-Fermi-Dirac equation with Coulomb potential. The initial conditions ar…
Nonisothermal Richards flow in porous media with cross diffusion
Esther S. Daus, Josipa Pina Milišić, Nicola Zamponi
The existence of large-data weak entropy solutions to a nonisothermal immiscible compressible two-phase unsaturated flow model in porous media is proved. The model is thermodynamic…
Non-Local Porous Media Equations with Fractional Time Derivative
Esther S. Daus, Maria Pia Gualdani, Jingjing Xu +2
In this paper we investigate existence of solutions for the system: \begin{equation*} \left\{ \begin{array}{l} D^α_tu=\textrm{div}(u \nabla p),\\ D^α_tp=-(-Δ)^{s}p+u^{2}, \end{arra…
Analysis of a cross-diffusion model for rival gangs interaction in a city
Alethea B. T. Barbaro, Nancy Rodriguez, Havva Yoldaş +1
We study a two-species cross-diffusion model that is inspired by a system of convection-diffusion equations derived from an agent-based model on a two-dimensional discrete lattice.…
Existence analysis of a degenerate diffusion system for heat-conducting fluids
Gianluca Favre, Ansgar Jüngel, Christian Schmeiser +1
The existence of global weak solutions to a parabolic energy-transport system in a bounded domain with no-flux boundary conditions is proved. The model can be derived in the diffus…
Partial Hölder Regularity for Bounded Solutions of a Class of Cross-Diffusion Systems with Entropy Structure
Marcel Braukhoff, Claudia Raithel, Nicola Zamponi
In this contribution we obtain partial -regularity for bounded solutions of a certain class of cross-diffusion systems, which are strongly coupled, degenerate quasilinear…
Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures
Miroslav Buliček, Ansgar Jüngel, Milan Pokorný +1
The existence of large-data weak solutions to a steady compressible Navier-Stokes-Fourier system for chemically reacting fluid mixtures is proved. General free energies are conside…
Two spinorial drift-diffusion models for quantum electron transport in graphene
Nicola Zamponi, Ansgar Jüngel
Two drift-diffusion models for the quantum transport of electrons in graphene, which account for the spin degree of freedom, are derived from a spinorial Wigner equation with relax…
Some fluid-dynamic models for quantum electron transport in graphene via entropy minimization
Nicola Zamponi
We derive some fluid-dynamic models for electron transport near a Dirac point in graphene. We start from a kinetic model constituted by a set of spinorial Wigner equations, we make…
Quantum electronic trasport in graphene: a kinetic and fluid-dynamic approach
Nicola Zamponi, Luigi Barletti
We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. The derivation is based on the minimum entropy principle, which is exploited in order to clos…
Global existence for a two-phase flow model with cross diffusion
Esther S. Daus, Josipa-Pina Milišić, Nicola Zamponi
In this work we study a degenerate pseudo-parabolic system with cross diffusion describing the evolution of the densities of an unsaturated two-phase flow mixture with dynamic capi…
Longtime behavior and weak-strong uniqueness for a nonlocal porous media equation
Esther S. Daus, Maria Gualdani, Nicola Zamponi
In this manuscript we consider a non-local porous medium equation with non-local diffusion effects given by a fractional heat operator \begin{equation*} \partial_t u = \mbox{div}(u…
Global martingale solutions for a stochastic population cross-diffusion system
Gaurav Dhariwal, Ansgar Jüngel, Nicola Zamponi
The existence of global nonnegative martingale solutions to a stochastic cross-diffusion system for an arbitrary but finite number of interacting population species is shown. The r…