40 citations · 151 across the 9 of their papers we have counts for
12 papers
On the uniform-in-time propagation of chaos for the Motsch-Tadmor model
Tamari Kldiashvili, Stefano Rossi, Lara Trussardi
We consider the Motsch-Tadmor model, a modification of the Cucker-Smale model for flocking dynamics that incorporates asymmetric communication weights. In the case of uniformly pos…
Local asymptotics for the nonlocal Swift-Hohenberg equation
Elisa Davoli, Christian Kuehn, Luca Scarpa +1
The nonlocal-to-local asymptotics investigation for evolutionary problems is a central topic both in the theory of PDEs and in functional analysis. More recently, it became the mai…
Local asymptotics and optimal control for a viscous Cahn-Hilliard-Reaction-Diffusion model for tumor growth
Elisa Davoli, Elisabetta Rocca, Luca Scarpa +1
In this paper we study nonlocal-to-local asymptotics for a tumor-growth model coupling a viscous Cahn-Hilliard equation describing the tumor proportion with a reaction-diffusion eq…
On the rate of convergence of Yosida approximation for the nonlocal Cahn-Hilliard equation
Piotr Gwiazda, Jakub Skrzeczkowski, Lara Trussardi
It is well-known that one can construct solutions to the nonlocal Cahn-Hilliard equation with singular potentials via Yosida approximation with parameter . The usual method…
A minimizing-movements approach to GENERIC systems
Ansgar Jüngel, Ulisse Stefanelli, Lara Trussardi
We present a new time discretization scheme adapted to the structure of GENERIC systems. The scheme is variational in nature and is based on a conditional incremental minimization.…
Local asymptotics for nonlocal convective Cahn-Hilliard equations with W^{1,1} kernel and singular potential
Elisa Davoli, Luca Scarpa, Lara Trussardi
We prove existence of solutions and study the nonlocal-to-local asymptotics for nonlocal, convective, Cahn-Hilliard equations in the case of a W^{1,1} convolution kernel and under…
Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms
Elisa Davoli, Luca Scarpa, Lara Trussardi
We consider a class of nonlocal viscous Cahn-Hilliard equations with Neumann boundary conditions for the chemical potential. The double-well potential is allowed to be singular (e.…
Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics
Elisa Davoli, Helene Ranetbauer, Luca Scarpa +1
Existence and uniqueness of solutions for nonlocal Cahn-Hilliard equations with degenerate potential is shown. The nonlocality is described by means of a symmetric singular kernel…
Two structure-preserving time discretizations for gradient flows
Ansgar Jüngel, Ulisse Stefanelli, Lara Trussardi
The equality between dissipation and energy drop is a structural property of gradient-flow dynamics. The classical implicit Euler scheme fails to reproduce this equality at the dis…
From nonlocal to local Cahn-Hilliard equation
Stefano Melchionna, Helene Ranetbauer, Luca Scarpa +1
In this paper we prove the convergence of a nonlocal version of the Cahn-Hilliard equation to its local counterpart as the nonlocal convolution kernel is scaled using suitable appr…
A kinetic equation for economic value estimation with irrationality and herding
Bertram Düring, Ansgar Jüngel, Lara Trussardi
A kinetic inhomogeneous Boltzmann-type equation is proposed to model the dynamics of the number of agents in a large market depending on the estimated value of an asset and the rat…
A meeting point of entropy and bifurcations in cross-diffusion herding
Ansgar Jüngel, Christian Kuehn, Lara Trussardi
A cross-diffusion system modeling the information herding of individuals is analyzed in a bounded domain with no-flux boundary conditions. The variables are the species' density an…