5 papers · 1 filter
Dissipative Solutions to a Compressible Non-Newtonian Korteweg System with Density-Dependent Viscous Stress Tensor
Didier Bresch, Christophe Lacave, Maja Szlenk
The main objective of this paper is to prove that if capillarity effect is taken into account then there exist dissipative solutions to a system describing viscoplastic compressibl…
On the dynamics of leapfrogging vortex rings
Martin Donati, Lars Eric Hientzsch, Christophe Lacave +1
The evolution of highly concentrated vorticity around rings in the three-dimensional axisymmetric Euler equations is studied in a regime for which the leapfrogging dynamics predict…
Large time behavior for the 3D Navier-Stokes with Navier boundary conditions
James P. Kelliher, Christophe Lacave, Milton C. Lopes Filho +2
We study the three-dimensional incompressible Navier-Stokes equations in a smooth bounded domain with initial velocity square-integrable, divergence-free and tangent to…
Dynamics of helical vortex filaments in non viscous incompressible flows
Martin Donati, Christophe Lacave, Evelyne Miot
In this paper we study concentrated solutions of the three-dimensional Euler equations in helical symmetry without swirl. We prove that any helical vorticity solution initially con…
Bloch-Floquet band gaps for water waves over a periodic bottom
Christophe Lacave, Matthieu Ménard, Catherine Sulem
A central object in the analysis of the water wave problem is the Dirichlet-Neumann operator. This paper is devoted to the study of its spectrum in the context of the water wave sy…