Anne-Laure Dalibard

collaborators

4 papers

math.AP2026

Viscous evolution of a point vortex in a half-plane

Anne-Laure Dalibard, Thierry Gallay

As a model for vortex-wall interactions, we consider the two-dimensional incompressible Navier--Stokes equations in the half-plane $R_{+}^{2}$ with no-slip boundary condition and point…

math.AP2025

Nonlinear Forward-Backward Problems

Anne-Laure Dalibard, FrÃ©dÃ©ric Marbach, Jean Rax

We prove the existence and uniqueness of strong solutions to the equation $u u_{x} - u_{y y} = f$ in the vicinity of the linear shear flow, subject to perturbations of the source term…

math.AP2025

Long-time behavior of the Stokes-transport system in a channel

Anne-Laure Dalibard, Julien Guillod, Antoine Leblond

We consider here a two-dimensional incompressible fluid in a periodic channel, whose density is advected by pure transport, and whose velocity is given by the Stokes equation with…

math.AP2025

Linear and nonlinear parabolic forward-backward problems

The purpose of this paper is to investigate the well-posedness of several linear and nonlinear equations with a parabolic forward-backward structure, and to highlight the similarit…