Recent Publications


G.R. Burton, H.J. Nussenzveig Lopes and M.C. Lopes Filho. Nonlinear stability for steady vortex pairs. Comm. Math. Phys. 324 (2013) 445-463. online at link.springer.com pdf

B. Buffoni and G.R. Burton. On the stability of travelling waves with vorticity obtained by minimization. NoDEA Nonlinear Differential Equations Appl. 20 (2013) 1597-1629. online at link.springer.com pdf.

G.R. Burton and J.F. Toland. Surface waves on steady perfect fluid flows with vorticity. Comm. Pure Appl. Math. 64 (2011) 975-1007. journal.

G.R. Burton. Compactness and stability for planar vortex-pairs with prescribed impulse.[under submission] pdf.