17 citations · 41 across the 21 of their papers we have counts for
16 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…
Rescaling approach for a stochastic population dynamics equation perturbed by a linear multiplicative Gaussian noise
Gabriela Marinoschi
We are concerned with a nonlinear nonautonomous model represented by an equation describing the dynamics of an age-structured population diffusing in a space habitat governed…
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…
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…
Feedback stabilization of the Cahn-Hilliard type system for phase separation
Viorel Barbu, Pierluigi Colli, Gianni Gilardi +1
This article is concerned with the internal feedback stabilization of the phase field system of Cahn-Hilliard type, modeling the phase separation in a binary mixture. Under suitabl…
Sliding mode control for a nonlinear phase-field system
Viorel Barbu, Pierluigi Colli, Gianni Gilardi +2
In the present contribution the sliding mode control (SMC) problem for a phase-field model of Caginalp type is considered. First we prove the well-posedness and some regularity res…
A boundary control problem for a possibly singular phase field system with dynamic boundary conditions
Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi
This paper deals with an optimal control problem related to a phase field system of Caginalp type with a dynamic boundary condition for the temperature. The control placed in the d…
Nonlinear parabolic flows with dynamic flux on the boundary
Viorel Barbu, Angelo Favini, Gabriela Marinoschi
A nonlinear divergence parabolic equation with dynamic boundary conditions of Wentzell type is studied. The existence and uniqueness of a strong solution is obtained as the limit o…
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…
Sharp interface control in a Penrose-Fife model
Pierluigi Colli, Gabriela Marinoschi, Elisabetta Rocca
In this paper we study a singular control problem for a system of PDEs describing a phase-field model of Penrose-Fife type. The main novelty of this contribution consists in the id…
Identification of a diffusion coefficient in strongly degenerate parabolic equations with interior degeneracy
Genni Fragnelli, Gabriela Marinoschi, Rosa Maria Mininni +1
We study two identification problems in relation with a strongly degenerate parabolic diffusion equation characterized by a vanishing diffusion coefficient wit…
Existence for weakly coercive nonlinear diffusion equations via a variational principle
Gabriela Marinoschi
We are concerned with the study of the well-posedness of a nonlinear diffusion equation with a monotonically increasing multivalued time-dependent nonlinearity derived from a conve…