F. Hamel

activity

20062022

most citedOn the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds

77 citations · 196 across the 29 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.AP2015

Shear flows of an ideal fluid and elliptic equations in unbounded domains

François Hamel, Nikolai Nadirashvili

We prove that, in a two-dimensional strip, a steady flow of an ideal incompressible fluid with no stationary point and tangential boundary conditions is a shear flow. The same conc…

math.AP2015★ 2 cited

One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in R $^{N}$

Denis Bonheure, François Hamel

In this paper, we prove an analogue of Gibbons' conjecture for the extended fourth order Allen-Cahn equation in R N , as well as Liouville type results for some solutions convergin…

math.AP2015★ 1 cited

A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane

Francois Hamel, Xavier Ros-Oton, Yannick Sire +1

We consider entire solutions to $L u = f (u)$ in $R^{2}$ , where $L$ is a nonlocal operator with translation invariant, even and compactly supported kernel $K$ .…

Shear flows of an ideal fluid and elliptic equations in unbounded domains

One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in RN

A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane

One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in R $^{N}$