1 citations · 3 across the 5 of their papers we have counts for
5 papers
On a nonlinear model for tumor growth in a cellular medium
Donatella Donatelli, Konstantina Trivisa
We investigate the dynamics of a nonlinear model for tumor growth within a cellular medium. In this setting the "tumor" is viewed as a multiphase flow consisting of cancerous cells…
Hydrodynamic limit of the kinetic Cucker-Smale flocking model
Trygve Karper, Antoine Mellet, Konstantina Trivisa
The hydrodynamic limit of a kinetic Cucker-Smale model is investigated. In addition to the free-transport of individuals and the Cucker-Smale alignment operator, the model under co…
Existence of weak solutions to kinetic flocking models
Trygve Karper, Antoine Mellet, Konstantina Trivisa
We establish the global existence of weak solutions to a class of kinetic flocking equations. The models under consideration include the kinetic Cucker-Smale equation with possibly…
On strong local alignment in the kinetic Cucker-Smale model
Trygve Karper, Antoine Mellet, Konstantina Trivisa
In two recent papers the authors study the existence of weak solutions and the hydrodynamic limit of kinetic flocking equations with strong local alignment. The introduction of a s…
On the Dynamics of a Fluid-Particle Interaction Model: The Bubbling Regime
Jose A. Carrillo, Trygve Karper, Konstantina Trivisa
This article deals with the issues of global-in-time existence and asymptotic analysis of a fluid-particle interaction model in the so-called bubbling regime. The mixture occupies…