activity
20122022
most citedOn a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities

12 citations · 18 across the 15 of their papers we have counts for

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Showing 2017Show all

6 papers · 1 filter

math.AP2017

Optimal control for a conserved phase field system with a possibly singular potential

P. Colli, G. Gilardi, G. Marinoschi +1

In this paper we study a distributed control problem for a phase-field system of conserved type with a possibly singular potential. We mainly handle two cases: the case of a viscou…

math.AP2017

On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials

Sergio Frigeri, Kei Fong Lam, Elisabetta Rocca +1

We consider a model describing the evolution of a tumor inside a host tissue in terms of the parameters , (proliferating and dead cells, respectively), (cell velocit…

math.AP2017

Sliding mode control for a phase field system related to tumor growth

Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi +1

In the present contribution we study the sliding mode control (SMC) problem for a diffuse interface tumor growth model coupling a viscous Cahn-Hilliard type equation for the phase…

math.AP2017

Collisions in shape memory alloys

Michel Frémond, Michele Marino, Elisabetta Rocca

We present here a model for instantaneous collisions in a solid made of shape memory alloys (SMA) by means of a predictive theory which is based on the introduction not only of mac…

math.AP2017

Unsaturated deformable porous media flow with phase transition

Pavel Krejci, Elisabetta Rocca, Juergen Sprekels

In the present paper, a continuum model is introduced for fluid flow in a deformable porous medium, where the fluid may undergo phase transitions. Typically, such problems arise in…

math.AP201712 cited

On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities

Sergio Frigeri, Kei Fong Lam, Elisabetta Rocca

We study a non-local variant of a diffuse interface model proposed by Hawkins--Darrud et al. (2012) for tumour growth in the presence of a chemical species acting as nutrient. The…