227 citations
- Université d'OrléansFR96 papers
- Centre National de la Recherche ScientifiqueFR75 papers
- CERMICSFR28 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR24 papers
- Université de ToursFR17 papers
- Laboratoire Jean-Alexandre DieudonnéFR12 papers
- Institut national de recherche en sciences et technologies du numériqueFR10 papers
- Laboratoire de Mathématiques d'OrsayFR10 papers
- Laboratoire Jacques-Louis LionsFR9 papers
- Institut Denis PoissonFR8 papers
- Bielefeld UniversityDE7 papers
- École nationale des ponts et chausséesFR7 papers
62 papers · 1 filter
On a damped Szego equation (with an appendix in collaboration with Christian Klein)
Patrick Gerard, Sandrine Grellier
We investigate how damping the lowest Fourier mode modifies the dynamics of the cubic Szeg{ö} equation. We show that there is a nonempty open subset of initial data generating traj…
A Nonisothermal Thermodynamical Model Of Liquid-vapor Interaction With Metastability
Hala Ghazi, Francois James, Hélène Mathis
The paper concerns the construction of a compressible liquid-vapor relaxation model which is able to capture the metastable states of the non isothermal van der Waals model as well…
The local backward heat problem
Thi Minh Nhat Vo
In this paper, we study the local backward problem of a linear heat equation with time-dependent coefficients under the Dirichlet boundary condition. Precisely, we recover the init…
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…
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,…
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…