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20152026
most citedWell-posedness and exponential decay estimates for a Korteweg-de Vries-Burgers equation with time-delay

19 citations · 25 across the 13 of their papers we have counts for

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9 papers · 1 filter

math.OC2024

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…

math.OC2024

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…

math.OC2024

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…

math.OC2023

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…

math.OC2023

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…

math.OC2023

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…