Thomas J Bridges

Professor of Applied Mathematics

Department of Mathematics and Statistics

Guildford, Surrey, UK

Seminars and Conferences: 2000-2002
 
  2002
  Conference on Nonlinear Analysis in honor of the 70th birthday of Professor Klaus Kirchgassner , held at Kloster Irsee 6-11 January.
  Applied Mathematics Seminar at University College London, 25th February
  Mathematics Seminar at Cardiff University, Wales, 20th March
  Workshop on Astrodynamics at Surrey, 22-23 April
  Differential Forms and Their Relatives in Numerics, Surrey, 7th June
  Dynamical Systems Methods for Nonlinear Wave Equations, 4-5 July
  Workshop on Geometry, Symmetry and Mechanics at Warwick, 21-27 July
  Oberwolfach Workshop on Dynamical Systems Methods in Fluid Mechanics, 28 July - 3 August
 
  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
  Seminar at DAMTP, Cambridge, 16th November
  Workshop on Geometry and Symmetry in Continuum Mechanics, 9-15 December
 
  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
 
Some recent papers and preprints
 
  TJB, G Derks & G Gottwald [2002] Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework, PhysicaD (in press). UniS Preprint .ps
  TJB & L Allen [2002] Flow past a swept wing with a compliant surface: stabilizing the attachment-line boundary layer . UniS Preprint
  F R Austin & TJB [2001] A bundle view of boundary value problems: generalizing the Gardner-Jones bundle. UniS Preprint .ps
  TJB & G Derks [2002] Constructing the symplectic Evans matrix using maximally-analytic individual vectors , Proc. Royal Society Edinburgh (in press). UniS Preprint .ps
  TJB & K Georgiou [2002] Computing global orbits of the forced spherical pendulum, PhysicaD 165 1-11. Downloadable Preprint .ps.gz
  TJB & G Derks [2002] Linear instablity of solitary-wave solutions of the Kawahara equation and its generalizations, SIAM J. Math. Anal. 33, 1356-1378   SIAM Epubs page for download
  L Allen & TJB: Numerical exterior algebra and the compound matrix method , Numerische Mathematik (in press, 2002) UniS Preprint .ps
  TJB & S Reich [2001] Computing Lyapunov exponents on a Stiefel manifold , PhysicaD 156, 219-238. Downloadable Reprint .ps PhysicaD page for .pdf Reprint
  TJB & G Derks [2001] The symplectic Evans matrix, and the instability of solitary waves and fronts with symmetry, Arch. Rat. Mech. Anal. 156 1-87. Downloadable Preprint .ps
  TJB & S Reich [2001] Multi-symplectic spectral discretizations for the Zakharov-Kuznetsov and shallow water equations, PhysicaD 152, 491-504. PhysicaD page for Reprint
  TJB & S Reich [2001] Multi-symplectic integrators; numerical schemes for Hamiltonian PDEs that conserve symplecticity, Phys. Lett. A 284, 184-193. PLA Reprint .ps PLA webpage .pdf
  TJB [2001] Transverse instability of solitary-wave states of the water-wave problem, J. Fluid Mech. 439, 255-278. Downloadable Preprint .ps
  TJB & G Derks [2001] The symplectic Evans matrix and solitary wave instability, Proceedings of the Conference: Symmetry and Perturbation Theory 2001, Edited by D. Bambusi, G. Gaeta and M. Cadoni, World Scientific, pp. 32-38. Downloadable Reprint .pdf
  TJB & G Derks: Dimension breaking of nonlinear elliptic PDEs: satisfying the spectral condition geometrically, UniS Preprint
  TJB, F Dias & D Menasce [2001] Steady three-dimensional water-wave patterns on a finite-depth fluid, J. Fluid Mech. 436, 145-175. Downloadable Preprint .ps
  A L Afendikov & TJB [2001] Instability of the Hocking-Stewartson pulse and its implications for three-dimensional Poiseuille flow , Proc. Roy. Soc. Lond. A 457 257-272. UniS Preprint
  TJB & F Laine-Pearson [2001] Multi-symplectic relative equilibria, multi-phase wavetrains and coupled NLS equations, Stud. Appl. Math. 107 , 137-155. Downloadable Reprint .ps
  TJB & K V Georgiou [2001] A transverse spinning double pendulum , Chaos, Solitons & Fractals 12, 131-144. UniS Preprint
  P Ashwin, M V Bartuccelli, TJB & S A Gourley [2002] Travelling fronts for the KPP equation with spatio-temporal delay, ZAMP 53, 103-122. Downloadable Preprint .ps.gz ZAMP webpage for downloadable reprint
Contact information:

Address: Department of Mathematics and Statistics
University of Surrey
Guildford
Surrey GU2 7XH
ENGLAND
Telephone: +44 (0)1483 689642
Fax: +44 (0)1483 686071
Mail to: t.bridges@surrey.ac.uk
Home page: http://www.maths.surrey.ac.uk/showstaff?T.Bridges
Local Time:
Lectures
2001-2002 Academic Year
 
  MS 310 and MS320
Functional Analysis

Autumn 2001
 
MS 107
Inroduction to Pure Mathematics

Spring 2002
 


 
Postgraduate Research Students
 
  Leanne Allen
Dolphin Hydrodynamics
  Francis Austin
Geometry and Topology of Patterns
  Junior A. Barrett
Bifurcation of continuous spectra
  Masoud Bolurian
Algebraic aspects of space structures
(Joint project with Civil Engineering)
  Fiona Laine-Pearson
Hexagonal Oceanographic Patterns
Open projects for PhD Research
 
  Numerical analysis on Grassmannian manifolds
  Multi-symplectic structures and pattern formation
  Any aspect of the theory of water waves
  Stability and dynamics of solitary waves
  Fluid sloshing in moving containers
 
 

  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
  multi-symplectic Melnikov theory
  multi-symplectic structure of water waves