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208 papers · 1 filter
Discrete adjoint gradient computation for multiclass traffic flow models on road networks
Paola Goatin, Axel Klar, Carmen Mezquita-Nieto
This paper applies a discrete adjoint gradient computation method for a multi-class traffic flow model on road networks. Vehicle classes are characterized by their specific velocit…
Structured Continuity Equations in Fibred Wasserstein Spaces
Benoît Bonnet-Weill, Nastassia Pouradier Duteil
In this article, we develop a comprehensive ODE-theory for structured continuity equations in fibred probability spaces, which represent a class of heterogeneous PDEs arising as th…
Two-way Coupling of Fluid--Structure Interaction for Elastic Magneto-Swimmers:A Finite Element ALE Approach
Christophe Prud'Homme, Vincent Chabannes, Laëtitia Giraldi +2
Artificial micro-swimmers actuated by external magnetic fields hold significant promise for targeted biomedical applications, including drug delivery and micro-robot-assisted thera…
Analysis of linear Boussinesq-type models coupled with static interfaces
José Galaz, Maria Kazolea, Antoine Rousseau
We derive a new approach to analyze the coupling of linear Boussinesq and Saint-Venant shallow water wave equations in the case where the interface remains at a constant position i…
Well-posedness and regularity of solutions to neural field problems with dendritic processing
Daniele Avitabile, Nikolai V. Chemetov, Pedro M. Lima
We study solutions to a recently proposed neural field model in which dendrites are modelled as a continuum of vertical fibres stemming from a somatic layer. Since voltage propagat…
On the blow-up scenario for some modified Serre-Green-Naghdi equations
Billel Guelmame
The present paper deals with a modified Serre-Green-Naghdi (mSGN) system that has been introduced by Clamond et al. to improve the dispersion relation. We present a precise blow-up…