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20082023
most citedOptimal distributed control of a diffuse interface model of tumor growth

86 citations · 484 across the 53 of their papers we have counts for

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Showing 2014Show all

9 papers · 1 filter

math.AP2014★ 16 cited

Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in 2D

Sergio Frigeri, Elisabetta Rocca, Jürgen Sprekels

We study a diffuse interface model for incompressible isothermal mixtures of two immiscible fluids coupling the Navier--Stokes system with a convective nonlocal Cahn--Hilliard equa…

math.AP2014

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

Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi +1

In this paper we study a distributed control problem for a phase field system of Caginalp type with logarithmic potential. The main aim of this work would be to force the location…

math.AP2014

On asymptotic isotropy for a hydrodynamic model of liquid crystals

Mimi Dai, Eduard Feireisl, Elisabetta Rocca +2

We study a PDE system describing the motion of liquid crystals by means of the tensor description for the crystals coupled with the incompressible Navier-Stokes system. Using t…

math.AP2014

Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids

Michela Eleuteri, Elisabetta Rocca, Giulio Schimperna

We consider a thermodynamically consistent diffuse interface model describing two-phase flows of incompressible fluids in a non-isothermal setting. This model was recently introduc…

math.AP2014

On a diffuse interface model of tumor growth

Sergio Frigeri, Maurizio Grasselli, Elisabetta Rocca

We consider a diffuse interface model of tumor growth proposed by A.~Hawkins-Daruud et al. This model consists of the Cahn-Hilliard equation for the tumor cell fraction nonline…

math.AP2014★ 1 cited

Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in 3D

Elisabetta Rocca, Juergen Sprekels

In this paper we study a distributed optimal control problem for a nonlocal convective Cahn--Hilliard equation with degenerate mobility and singular potential in three dimensions o…