247 citations · 278 across the 26 of their papers we have counts for
4 papers · 1 filter
Relative entropy in hyperbolic relaxation for balance laws
Alexey Miroshnikov, Konstantina Trivisa
We present a general framework for the approximation of systems of hyperbolic balance laws. The novelty of the analysis lies in the construction of suitable relaxation systems and…
On a nonlinear model for tumor growth with drug application
Donatella Donatelli, Konstantina Trivisa
We investigate the dynamics of a nonlinear system modeling tumor growth with drug application. The tumor is viewed as a mixture consisting of proliferating, quiescent and dead cell…
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…
Stability and Convergence of Relaxation Schemes to Hyperbolic Balance Laws via a Wave Operator
Alexey Miroshnikov, Konstantina Trivisa
This article deals with relaxation approximations of nonlinear systems of hyperbolic balance laws. We introduce a class of relaxation schemes and establish their stability and conv…