127 citations
- Université d'OrléansFR29 papers
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- Bielefeld UniversityDE3 papers
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6 papers · 1 filter
Impulse output rapid stabilization for heat equations
Kim Dang Phung, Gengsheng Wang, Yashan Xu
The main aim of this paper is to provide a new feedback law for the heat equations in a bounded domain with Dirichlet boundary condition. Two constraints will be compulsory: Fi…
An introduction to Dunkl theory and its analytic aspects
Jean-Philippe Anker
Dunkl theory is a far reaching generalization of Fourier analysis and special function theory related to root systems. During the sixties and seventies, it became gradually clear t…
Flux-limited and classical viscosity solutions for regional control problems
Guy Barles, Ariela Briani, Emmanuel Chasseigne +1
The aim of this paper is to compare two different approaches for regional control problems: the first one is the classical approach, using a standard notion of viscosity solutions,…
An elementary proof of the positivity of the intertwining operator in one-dimensional trigonometric Dunkl theory
Jean-Philippe Anker
This note is devoted to the intertwining operator in the one--dimensional trigonometric Dunkl setting. We obtain a simple integral expression of this operator and deduce its positi…
Two-dimensional pseudo-gravity model
Julien Barré, Dan Crisan, Thierry Goudon
We analyze a simple macroscopic model describing the evolution of a cloud of particles confined in a magneto-optical trap. The behavior of the particles is mainly driven by self--c…
Nambu mechanics for stochastic magnetization dynamics
Pascal Thibaudeau, Thomas Nussle, Stam Nicolis
The Landau-Lifshitz-Gilbert (LLG) equation describes the dynamics of a damped magnetization vector that can be understood as a generalization of Larmor spin precession. The LLG equ…