Projects per year

## Fingerprint Dive into the research topics where Geoffrey Burton is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 1 Similar Profiles

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

- 1 Finished

### Variational and Topological Methods and Water Waves Workshop:

Burton, G., Fraenkel, E. & Zimmer, J.

Engineering and Physical Sciences Research Council

1/01/09 → 31/08/09

Project: Research council

Waves

Water

Mathematics

Dancers

John Toland

## Research Output 2001 2013

- 10 Article

3
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 journal › Article

Nonlinear Stability

Euler Equations

Vortex

vortices

Orbital Stability

1
Citation
(Scopus)

48
Downloads
(Pure)

### 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 journal › Article

Open Access

File

Stream Function

Vorticity

Traveling Wave

Periodic Traveling Waves

Conditional Stability

11
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 journal › Article

Perfect Fluid

Surface Waves

Vorticity

Surface waves

Fluid Flow

10
Citations
(Scopus)

### Global nonlinear stability for steady ideal fluid flow in bounded planar domains

Burton, G. R., 2005, In : Archive for Rational Mechanics and Analysis. 176, 2, p. 149-163 15 p.Research output: Contribution to journal › Article

Ideal Fluid

Nonlinear Stability

Global Stability

Vorticity

Fluid Flow

1
Citation
(Scopus)

### Isoperimetric properties of Lamb's circular vortex-pair

Burton, G. R., 2005, In : Journal of Mathematical Fluid Mechanics. 7, p. S68-S80Research output: Contribution to journal › Article

Isoperimetric

Vortex

Vortex flow

vortices

Kinetic energy

## Thesis

## Rearrangements, steady vortices and stability

Author: Stark, J., 6 May 2010Supervisor: Burton, G. (Supervisor)

Student thesis: Doctoral Thesis › PhD

File

## Rearrangements and Vortices

Author: Masters, A., 26 Mar 2014Supervisor: Burton, G. (Supervisor)

Student thesis: Doctoral Thesis › PhD

File