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Geoffrey Burton

Prof

20012013
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Vorticity Mathematics
Vortex Ring Mathematics
Stream Function Mathematics
Ideal Fluid Mathematics
Fluid Flow Mathematics
Isoperimetric Mathematics
Kinetic energy Mathematics
Nonlinear Stability Mathematics

Projects 2009 2009

Waves
Water
Mathematics
Dancers
John Toland

Research Output 2001 2013

2 Citations (Scopus)

Nonlinear stability of steady vortex pairs

Burton, G., Nussenzveig Lopes, H. & Lopes Filho, M. C., Dec 2013, In : Communications in Mathematical Physics. 324, 2, p. 445-463 19 p.

Research output: Contribution to journalArticle

Nonlinear Stability
Euler Equations
Vortex
vortices
Orbital Stability

On the stability of travelling waves with vorticity obtained by minimization

Buffoni, B. & Burton, G. R., Oct 2013, In : NoDEA-Nonlinear Differential Equations and Applications. 20, 5, p. 1597-1629 33 p.

Research output: Contribution to journalArticle

Open Access
File
Stream Function
Vorticity
Traveling Wave
Periodic Traveling Waves
Conditional Stability
10 Citations (Scopus)

Surface waves on steady perfect-fluid flows with vorticity

Burton, G. R. & Toland, J. F., Jul 2011, In : Communications on Pure and Applied Mathematics. 64, 7, p. 975-1007 33 p.

Research output: Contribution to journalArticle

Perfect Fluid
Surface Waves
Vorticity
Surface waves
Fluid Flow
8 Citations (Scopus)
Ideal Fluid
Nonlinear Stability
Global Stability
Vorticity
Fluid Flow
1 Citations (Scopus)

Isoperimetric properties of Lamb's circular vortex-pair

Burton, G. R., 2005, In : Journal of Mathematical Fluid Mechanics. 7, p. S68-S80

Research output: Contribution to journalArticle

Isoperimetric
Vortex
Vortex flow
vortices
Kinetic energy