83 citations · 179 across the 36 of their papers we have counts for
39 papers
Well-posedness and exponential stability for abstract evolution equations with delay in the nonlinear source: frictional and viscoelastic cases
Houria Chellaoua, Yamna Boukhatem, Cristina Pignotti
In this paper, we establish the well-posedness and exponential stability of a class of semilinear neutral abstract evolution equations with constant time delay. Two damping mechani…
Consensus and flocking with transmission and reaction delays
Elisa Continelli, Jan Haskovec, Cristina Pignotti
We investigate consensus formation and flocking behavior in multi-agent systems subject to two distinct types of delays: a transmission delay accounting for information exchange be…
Indirect stabilization of nonlinear coupled wave equations in the presence of time delay or indefinite damping
Alhabib Moumni, Cristina Pignotti, Jawad Salhi +1
This paper explores the exponential stability of two nonlinear wave equations coupled through their velocities. The analysis is divided into two main cases. First, we consider a sy…
First and second-order Cucker-Smale models with non-universal interaction, time delay and communication failures
Chiara Cicolani, Elisa Continelli, Cristina Pignotti
In this paper, we deal with first and second-order alignment models with non-universal interaction, time delay and possible lack of connection between the agents. More precisely, w…
Energy decay for semilinear evolution equations with memory and time-dependent time delay feedback
Elisa Continelli, Cristina Pignotti
In this paper, we study well-posedness and exponential stability for semilinear second order evolution equations with memory and time-varying delay feedback. The time delay functio…
Opinion dynamics of two populations with time-delayed coupling
Chiara Cicolani, Cristina Pignotti
We study a Hegselmann-Krause type opinion formation model for a system of two populations. The two groups interact with each other via subsets of individuals, namely the leaders, a…
Exponential decay of solutions to linear evolution equations with time-dependent time delay
Elisa Continelli, Cristina Pignotti
In this note, we analyze an abstract evolution equation with time-dependent time delay and time-dependent delay feedback coefficient. We assume that the operator corresponding to t…
Stability for some classes of degenerate nonlinear hyperbolic equations with time delay
Alessandro Camasta, Genni Fragnelli, Cristina Pignotti
We consider several classes of degenerate hyperbolic equations involving delay terms and suitable nonlinearities. The idea is to rewrite the problems in an abstract way and, using…
Hegselmann-Krause and Cucker-Smale type models with attractive-repulsive interaction
Elisa Continelli, Cristina Pignotti
In this paper, we analyze a Hegselmann-Krause opinion formation model and a Cucker-Smale flocking model with attractive-repulsive interaction. To be precise, we investigate the sit…
Convergence to consensus results for Hegselmann-Krause type models with attractive-lacking interaction
Elisa Continelli, Cristina Pignotti
In this paper, we analyze a Hegselmann-Krause opinion formation model with attractive-lacking interaction. More precisely, we investigate the situation in which the individuals inv…
Semiconcavity for the minimum time problem in presence of time delay effects
Elisa Continelli, Cristina Pignotti
In this paper, we deal with a minimum time problem in presence of a time delay The value function of the considered optimal control problem is no longer defined in a subset of…
Exponential decay estimates for semilinear wave-type equations with time-dependent time delay
Cristina Pignotti
In this paper, we analyze a semilinear damped second order evolution equation with time-dependent time delay and time-dependent delay feedback coefficient. The nonlinear term satis…
Consensus for the Hegselmann-Krause model with time variable time delays
Elisa Continelli, Cristina Pignotti
In this paper, we analyze a Hegselmann-Krause opinion formation model with time-variable time delay and prove that, if the influence function is always positive, then there is expo…
Well-posedness and stability for semilinear wave-type equations with time delay
Alessandro Paolucci, Cristina Pignotti
In this paper we analyze a semilinear abstract damped wave-type equation with time delay. We assume that the delay feedback coefficient is variable in time and belonging to $L^1_{l…
On the control of the Hegselmann-Krause model with leadership and time delay
Alessandro Paolucci, Cristina Pignotti
We analyze Hegselmann-Krause opinion formation models with leadership in presence of time delay effects. In particular, we consider a model with pointwise time variable time delay…
Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback
Alessandro Paolucci, Cristina Pignotti
In this paper we study a class of semilinear wave type equations with viscoelastic damping and delay feedback with time variable coefficient. By combining semigroup arguments, care…
Bifurcation analysis of a coupled system between a transport equation and an ordinary differential equation with time delay
Serge Nicaise, Alessandro Paolucci, Cristina Pignotti
In this paper we analyze a coupled system between a transport equation and an ordinary differential equation with time delay (which is a simplified version of a model for kidney bl…
Local boundedness for weak solutions to some quasilinear elliptic systems
Salvatore Leonardi, Francesco Leonetti, Cristina Pignotti +2
We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi's counterexample. Here we ass…
Exponential synchronization of Kuramoto oscillators with time delayed coupling
Young-Pil Choi, Cristina Pignotti
We discuss the asymptotic frequency synchronization for the non-identical Kuramoto oscillators with time delayed interactions. We provide explicit lower bound on the coupling stren…
Asymptotic behavior of dispersive electromagnetic waves in bounded domains
Serge Nicaise, Cristina Pignotti
We analyze the stability of Maxwell equations in bounded domains taking into account electric and magnetization effects. Well-posedness of the model is obtained by means of semigro…
Consensus of the Hegselmann-Krause opinion formation model with time delay
Young-Pil Choi, Alessandro Paolucci, Cristina Pignotti
In this paper, we study Hegselmann-Krause models with a time-variable time delay. Under appropriate assumptions, we show the exponential asymptotic consensus when the time delay sa…
Well-posedness and exponential decay estimates for a Korteweg-de Vries-Burgers equation with time-delay
Vilmos Komornik, Cristina Pignotti
We consider the KdV-Burgers equation and its linear version in presence of a delay feedback. We prove well-posedness of the models and exponential decay estimates under appropriate…
Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays
Young-Pil Choi, Cristina Pignotti
We study a Cucker-Smale-type flocking model with distributed time delay where individuals interact with each other through normalized communication weights. Based on a Lyapunov fun…
Asymptotic analysis of a Cucker-Smale system with leadership and distributed delay
Cristina Pignotti, Irene Reche Vallejo
We extend the analysis developed in [33] in order to prove convergence to consensus results for a Cucker-Smale type model with hierarchical leadership and distributed delay. Flocki…