20 citations · 95 across the 25 of their papers we have counts for
27 papers
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 with no-slip boundary condition and point…
Nonlinear Forward-Backward Problems
Anne-Laure Dalibard, Frédéric Marbach, Jean Rax
We prove the existence and uniqueness of strong solutions to the equation in the vicinity of the linear shear flow, subject to perturbations of the source term…
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…
Linear and nonlinear parabolic forward-backward problems
Anne-Laure Dalibard, Frédéric Marbach, Jean Rax
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…
Traveling waves for the porous medium equation in the incompressible limit: asymptotic behavior and nonlinear stability
Anne-Laure Dalibard, Gabriela Lopez-Ruiz, Charlotte Perrin
In this study, we analyze the behavior of monotone traveling waves of a one-dimensional porous medium equation modeling mechanical properties of living tissues. We are interested i…
Partially congested propagation fronts in one-dimensional Navier-Stokes equations
Anne-Laure Dalibard, Charlotte Perrin
These notes are dedicated to the analysis of the one-dimensional free-congested Navier-Stokes equations. After a brief synthesis of the results obtained in [4] related to the exist…