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Geoffrey Burton

Prof

20012013
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Research Output 2001 2013

2013
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 journalArticle

Nonlinear Stability
Euler Equations
Vortex
vortices
Orbital Stability
1 Citation (Scopus)
58 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 journalArticle

Open Access
File
Stream Function
Vorticity
Traveling Wave
Periodic Traveling Waves
Conditional Stability
2011
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 journalArticle

Perfect Fluid
Surface Waves
Vorticity
Surface waves
Fluid Flow
2005
10 Citations (Scopus)
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-S80

Research output: Contribution to journalArticle

Isoperimetric
Vortex
Vortex flow
vortices
Kinetic energy
2004
3 Citations (Scopus)
Vortex Ring
Isoperimetric
Ideal Fluid
Semilinear Elliptic Equations
Stream Function
2003
1 Citation (Scopus)

Contracting the maximal points of an ordered convex set

Burton, G. R., 2003, In : Journal of Convex Analysis. 10, 1, p. 255-264 10 p.

Research output: Contribution to journalArticle

Maximal Points
Ordered Set
Convex Sets
Uniformly Convex
Convex Cone
2 Citations (Scopus)

Uniqueness of the polar factorisation and projection of a vector-valued mapping

Burton, G. R. & Douglas, R. J., 2003, In : Annales De L Institut Henri Poincare: Analyse Non Linéaire. 20, 3, p. 405-418 14 p.

Research output: Contribution to journalArticle

Factorization
Uniqueness
Projection
Vector-valued Functions
Injective
11 Citations (Scopus)

Vortex-rings of prescribed impulse

Burton, G. R., 2003, In : Mathematical Proceedings of the Cambridge Philosophical Society. 134, p. 515-528 14 p.

Research output: Contribution to journalArticle

Vortex Ring
Vorticity
Impulse
Rearrangement
Kinetic energy
2001
3 Citations (Scopus)

Vortex rings in R-3 and rearrangements

Badiani, T. V. & Burton, G. R., 2001, In : Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences. 457, 2009, p. 1115-1135 21 p.

Research output: Contribution to journalArticle

Vortex Ring
vortex rings
Rearrangement
Vortex flow
ideal fluids