Thomas J Bridges

Professor of Applied Mathematics

Department of Mathematics and Statistics

Guildford, Surrey, UK

Seminars and Conferences: 1999-2001
 
  2001
  Mathematics of Water Waves, Oberwolfach, 25 Feb - 3 March
  Seminar at IMS, University of Kent, 5th March
  IUTAM Symposium: fluid-structure interation, Warwick, 26-30 March
  Variational methods for waves, Unversity of Georgia, 9-12 April
  Seminar at the University of Exeter, 23 April
  AMS/SMF Meeting in Lyon, France, 17-20 July
  Water Waves 2001 at Isaac Newton Institute, 12-31 August
  Wind-over-waves II, Cambridge, 3-5 September
  Mechanics and Symmetry, EU Summer School, Peyresq, 2-15 September
 
  2000
  Leicester Applied Maths Day, 28th January 2000
  Seminar at Edinburgh, 7th February 2000
  Seminar at Leeds, 28th February 2000
  Seminar at Warwick, 9th March 2000
  TUXEDO Workshop on solitary waves, 15th May 2000
  MASIE Meeting at Warwick, 2-5 June 2000
  Dynamics Days 2000 at Surrey, 25-29 June 2000
  Durham Symposium on Geometric Integration, 13-23 July 2000
  TUXEDO workshop on fronts at Surrey, 1 September 2000
  Quatrièmes Journées des Équations aux Dérivées Partielles, Calais, 5-6 October
 
  1999
  Seminar at UMIST, March 1999
  Seminar at Oxford, May 1999
  TUXEDO Meeting, Warwick, June 1999,
  Equadiff99: Berlin, August 1999
  Zakharov Festschrift, Moscow, August 1999
  ICMFT; Spain, September 1999
  Frontier Lectures at Texas A&M University, 15-18 November 1999
  Workshop on Reversible Dynamics, Imperial, 1-3 December 1999
Some recent papers and preprints
 
  TJB & G Derks: The symplectic Evans matrix, and the instability of solitary waves and fronts with symmetry, Arch. Rat. Mech. Anal. (in press, 2000). Downloadable Preprint .ps
  A L Afendikov & TJB: Instability of the Hocking-Stewartson pulse and its implications for three-dimensional Poiseuille flow , Proc. Roy. Soc. Lond. A (in press, 2000). UniS Preprint
  TJB [2000] Universal geometric condition for the transverse instability of solitary waves, Phys. Rev. Lett. 84(12), 2614-2617. Reprint
  TJB & G Derks: Dimension breaking of nonlinear elliptic PDEs: satisfying the spectral condition geometrically, UniS Preprint
  TJB [1999] The Orr-Sommerfeld equation on a manifold, Proc. Roy. Soc. Lond. A 455, 3019-3040. Reprint
  TJB & K V Georgiou [2001] A transverse spinning double pendulum , Chaos, Solitons & Fractals 12, 131-144. UniS Preprint
  TJB & S Reich: Multi-symplectic integrators; numerical schemes for Hamiltonian PDEs that conserve symplecticity, UniS Preprint
  L Brevdo, P Laure, TJB & F Dias [1999] Linear pulse structure and signalling in a film flow on an inclined plane, J. Fluid Mech. 396, 37-71. JFM page for Reprint
  L Allen & TJB: Numerical exterior algebra and the compound matrix method , UniS Preprint
  TJB & S Reich: Multi-symplectic spectral discretizations for the Zakharov-Kuznetsov and shallow water equations, PhysicaD (in press, 2000), Unis Preprint
  TJB, F Dias & D Menasce: Steady three-dimensional water-wave patterns on a finite-depth fluid, J Fluid Mech (in press, 2000). Downloadable Preprint .ps
  TJB & G Derks: Linear instablity of solitary-wave solutions of the Kawahara equation and its generalizations, Unis Preprint
  TJB & F Laine-Pearson: Multi-symplectic relative equilibria, multi-phase wavetrains and coupled NLS equations, Stud. Appl. Math. (in press, 2000). UniS Preprint
  TJB: Transverse instability of solitary-wave states of the water-wave problem, J. Fluid Mech. (in press, 2000). Downloadable Preprint .ps
Contact information:

Address: Department of Mathematics and Statistics
University of Surrey
Guildford
Surrey GU2 7XH
ENGLAND
Telephone: +44 (0)1483 259642
Fax: +44 (0)1483 876071
Mail to: t.bridges@mcs.surrey.ac.uk
Home page: http://www.maths.surrey.ac.uk/
Local Time:
Lectures
2000-2001 Academic Year
 
  MS 312 and MS322
Differential Geometry

Autumn 2000
  MS 107
Inroduction to Pure Mathematics

Spring 2001
 

 
Postgraduate Research Students
 
  Leanne Allen
Dolphin Hydrodynamics
  Francis Austin
Geometry and Topology of Patterns
  Junior A. Barrett
Bifurcation of continuous spectra
  Kyriakos Georgiou
Transverse Pendulum Dynamics
  Fiona Laine-Pearson
Hexagonal Oceanographic Patterns
Open projects for PhD Research
 
  Numerical analysis on Grassmannian manifolds
  Fluid sloshing in moving containers
  Multi-symplectic structures and pattern formation
  Numerical methods for solitary wave instability, and other aspects of solitary waves including their association with Kelvin-Helmholtz instability
 

  See the Postgraduate Research page for further details.
Grasshopper's Guide
to Research Interests
 
  Symplectic pattern formation -->
  Grassmann and Stiefel manifolds
  Absolute and convective instabilities
  Stability of multi-periodic and quasiperiodic patterns
  Dynamics of coupled pendulums
  Hydrodynamic stability and the Orr-Sommerfeld equation
  Dynamical systems and Hamiltonian mechanics
  Symplectic geometry
  Water waves
  Solitary waves and fronts
  Transition to turbulence in shear flows
  Equivariant symplectic maps
  Nonlinear Kelvin-Helmholtz problem
Book in preparation on:

Symplectic Pattern Formation

 
  Full table of contents to appear here soon!
  Multi-symplectic structures
  Dimension breaking of patterns
  Multi-periodic patterns
  solitary waves and fronts
  quasiperiodic patterns
  geometry of patterns in oceanography