17 citations · 41 across the 21 of their papers we have counts for
26 papers
-control problem for a singular parabolic system with convection
Cristian Cazacu, Gabriela Marinoschi, Teodor Rugină
We study the control problem for an infinite dimensional parabolic system, with a convection term, perturbed by a singular inverse-square potential with control distribu…
An operatorial approach of the well-posedness of an algebraic Riccati equation
Gabriela Marinoschi
Finding the state feedback control in an -optimal control problem involves a challenging approach of the associated algebraic Riccati equation of the generic form $A…
Optimal epidemic control by social distancing and vaccination of an infection structured by time since infection: the covid-19 case study
Alberto d'Onofrio, Mimmo Iannelli, Piero Manfredi +1
Motivated by the issue of COVID-19 mitigation, in this work we tackle the general problem of optimally controlling an epidemic outbreak of a communicable disease structured by time…
Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations
Pierluigi Colli, Gabriela Marinoschi, Elisabetta Rocca +1
Partial differential equation (PDE) models for infectious disease have received renewed interest in recent years. Most models of this type extend classical compartmental formulatio…
Global solution and optimal control of an epidemic propagation with a heterogeneous diffusion
Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi
In this paper, we explore the solvability and the optimal control problem for a compartmental model based on reaction-diffusion partial differential equations describing a transmis…
Optimal control of a reaction-diffusion model related to the spread of COVID-19
Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi +1
This paper is concerned with the well-posedness and optimal control problem of a reaction-diffusion system for an epidemic Susceptible-Infected-Recovered-Susceptible (SIRS) mathema…
The -control problem for parabolic systems with singular Hardy potentials
Gabriela Marinoschi
We solve the -control problem with state feedback for infinite dimensional boundary control systems of parabolic type with distributed disturbances and apply the result…
Identification and control of SARS-CoV-2 epidemic model parameters
Gabriela Marinoschi
We propose a mathematical model with five compartments for the SARS-CoV-2 transmission: susceptible , undetected infected asymptomatic , undetected infected symptomatic ,…
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth
Pierluigi Colli, Hector Gomez, Guillermo Lorenzo +3
Prostate cancer can be lethal in advanced stages, for which chemotherapy may become the only viable therapeutic option. While there is no clear clinical management strategy fitting…
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…
Sliding mode control of the Hodgkin-Huxley mathematical model
Cecilia Cavaterra, Denis Enachescu, Gabriela Marinoschi
In this paper we deal with a feedback control design for the action potential of a neuronal membrane in relation with the non-linear dynamics of the Hodgkin-Huxley mathematical mod…
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…