7 papers · 1 filter
Existence for a free boundary problem describing a propagating disturbance
Gabriela Marinoschi
We prove the existence of a solution to an 1-D free boundary problem which describes the propagation of disturbances of shock type, modeled by a non standard variational inequality…
Solvability and sliding mode control for the viscous Cahn-Hilliard system with a possibly singular potential
Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi
In the present contribution we study a viscous Cahn-Hilliard system where a further leading term in the expression for the chemical potential is present. This term consists of…
Exact controllability in minimal time of the Navier-Stokes periodic flow in a 2D-channel
Gabriela Marinoschi
This work is concerned with the necessary conditions of optimality for a minimal time control problem for the linearized Navier-Stokes periodic flow in a 2D-channel, subject…
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
Pierluigi Colli, Hector Gomez, Guillermo Lorenzo +3
Cytotoxic chemotherapy is a common treatment for advanced prostate cancer. These tumors are also known to rely on angiogenesis, i.e., the growth of local microvasculature via chemi…
Minimal time sliding mode control for evolution equations in Hilbert spaces
Gabriela Marinoschi
This work is concerned with the time optimal control problem for evolution equations in Hilbert spaces. The attention is focused on the maximum principle for the time optimal contr…
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…