Violaine Roussier-Michon

activity

20092021

most citedGlobal Existence and Long-Time Asymptotics for Rotating Fluids in a 3D Layer

1 citations · 2 across the 4 of their papers we have counts for

collaborators

5 papers

math.AP2021

Sharp large time behaviour in $N$ -dimensional reaction-diffusion equations of bistable type

Jean-Michel Roquejoffre, Violaine Roussier-Michom

We study the large time behaviour of the reaction-diffsuion equation $\partial_{t} u = Δ u + f (u)$ in spatial dimension $N$ , when the nonlinear term is bistable and the initial datum is…

math.AP2019

Sharp large time behaviour in N -dimensional Fisher-KPP equations

Jean-Michel Roquejoffre, Luca Rossi, Violaine Roussier-Michon

We study the large time behaviour of the Fisher-KPP equation $\partial$ t u = $Δ$ u + u -- u 2 in spatial dimension N , when the initial datum is compactly supported. We prove the e…

math.AP2017★ 1 cited

Nontrivial dynamics beyond the logarithmic shift in two-dimensional Fisher-KPP equations

Jean-Michel Roquejoffre, Violaine Roussier-Michon

We study the asymptotic behaviour, as time goes to infinity, of the Fisher-KPP equation $\partial_{t} u = Δ u + u - u^{2}$ in spatial dimension $2$ , when the initial condition looks like a H…

math.AP2011

Travelling graphs for the forced mean curvature motion in an arbitrary space dimension

Régis Monneau, Jean-Michel Roquejoffre, Violaine Roussier-Michon

We construct travelling wave graphs of the form $z = - c t + ϕ (x)$ , $ϕ : x \in R^{N - 1} \mapsto ϕ (x) \in R$ , $N \geq 2$ , solutions to the $N$ -dimensional forced mean curva…

math.AP2009★ 1 cited

Global Existence and Long-Time Asymptotics for Rotating Fluids in a 3D Layer

Thierry Gallay, Violaine Roussier-Michon

The Navier-Stokes-Coriolis system is a simple model for rotating fluids, which allows to study the influence of the Coriolis force on the dynamics of three-dimensional flows. In th…