Thomas J Bridges
Professor of Applied Mathematics
The Surrey Sloshing Initiative
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Seminars and Conferences: 2006-2008 | ||
| 2008 | |||
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Dynamical Systems Seminar School of Mathematics, University of Manchester, 17 December --> moved to Wednesday 11 February 2009. | |||
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Workshop on Large Amplitude Internal Waves ICMS Edinburgh, 1-4 December. | |||
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Conference on Nonlinear PDEs OxPDE, St Anne's College, Oxford University, 5 June. | |||
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Applied Dynamics and Geometric Mechanics Mathematisches Forschungsinsitut Oberwolfach, Germany, 20-26 July. | |||
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Colloquium in Mathematics University of Reading, Friday 15 February. | |||
| 2007 | |||
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Seminar in Applied Mathematics, University of East Anglia, Monday 12 November. | |||
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The D2H Fest 2007 Centre Interfacultaire Bernoulli, EPFL Lausanne, 22-28 July. | |||
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Optimal Transportation, and Applications to Geophysics and Geometry ICMS Edinburgh, 16-20 July. | |||
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Dynamics Days Europe 2007 University of Loughborough, 9-13 July. | |||
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CDSNS Colloquium School of Mathematics, Georgia Tech, Monday 16 April. | |||
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Mathematics Seminar School of Computing and Mathematics, University of Keele, Wednesday 21 February. | |||
| 2006 | |||
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Mathematical Theory of Water Waves Oberwolfach Mathematische Institut, Germany, 12-18 November. | |||
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Geometric and multi-scale methods for geophysical fluid dynamics Lorentz Center, Universiteit Leiden, Netherlands, 2-6 October. | |||
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Geometry and Mechanics University of Surrey, 14-15 June. | |||
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Themed Semester: Geometry, Fluids and Numerics Department of Mathematics, University of Surrey, Spring 2006. | |||
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PG Winter School: Nonlinear Waves in PDEs Department of Mathematics, University of Surrey, 9-13 January. | |||
MaGiC 2005: Manifolds and Geometric Integration Colloquia,
in Ustaoset, Norway, 14-18 February.
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| List of publications click here | |
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Some recent papers and preprints |
| TJB [2009] Degeneracy of the action-frequency map: a mechanism for homoclinic bifurcation of invariant tori, Physical Review E 79 066603, Surrey Preprint .pdf | |
| TJB, P.E. Hydon & J.K. Lawson [2009] Multisymplectic structures and the variational bicomplex, Math. Proc. Camb. Phil. Soc. (in press), Surrey Preprint .pdf | |
| D. Avitabile & TJB [2009] Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity, Surrey Preprint .pdf | |
| F. Chardard, F. Dias & TJB [2009] Computing the Maslov index of solitary waves. Part 1: Hamiltonian systems on a four-dimensional phase space, Physica D 238 1841-1867, Surrey Preprint .pdf | |
| F. Chardard, F. Dias & TJB [2009] On the Maslov index of multi-pulse homoclinic orbits, Proc. Royal Soc. London A 465 2897-2910, Surrey Preprint .pdf | |
| TJB [2009] Book Review of Waves in Oceanic and Coastal Waters, by Leo H. Holthuijsen Q. J. Royal Meteorol. Soc 134 1947-1948. QJR Website | |
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TJB & F. Dias [2007] Enhancement of the Benjamin-Feir instability with dissipation, Physics of Fluids 19 104104 (2007).
Preprint .pdf Physics of Fluids website for reprint |
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| TJB [2008] Degenerate relative equilibria, curvature of the momentum map, and homoclinic bifurcation, J. Diff. Eqns. 244 1629-1674 JDE website @ Sciencedirect.com Surrey Preprint .pdf | |
| TJB [2006] Canonical multi-symplectic structure on the total exterior algebra bundle, Proc. Royal Soc. London A 462 1531-1551. PRSLA Reprint .pdf | |
| F. Chardard, F. Dias & TJB [2006] Fast computation of the Maslov index for hyperbolic linear systems with periodic coefficients, J. Phys. A: Math. Gen. 39 14545-14557. Preprint.pdf | |
| TJB & S. Reich [2006] Numerical methods for Hamiltonian PDEs, J. Phys. A: Math. Gen 39 5287-5320. Surrey Preprint .pdf | |
| TJB & F.E. Laine-Pearson [2005] The long-wave instability of short-crested waves, via embedding in the oblique two-wave interaction, J. Fluid Mech. 543 147-182. JFM Reprint .pdf | |
| TJB & N.M. Donaldson [2008] Criticality manifolds and their role in the generation of solitary waves for two-layer flow with a free surface, European Journal Mechanics B/Fluids (in press). Surrey Preprint .pdf | |
| TJB & G Derks [2003] Dimension breaking of nonlinear elliptic PDEs: satisfying the spectral condition geometrically, Surrey Preprint | |
| TJB & N.M. Donaldson [2007] Reappraisal of criticality for two-layer flows and its role in the generation of internal solitary waves, Physics of Fluids 19, 072111 Surrey Preprint .pdf |
| Address: | Department of Mathematics |
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| University of Surrey Guildford Surrey GU2 7XH ENGLAND |
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| 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/profiles?s_id=2039 |
| Local Weather: |
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Lectures 2008-2009 Academic Year |
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MAT3020 Curves and Surfaces Spring 2009 |
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Current Postgraduate Research Students |
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Hamid Alemi Ardakani Lagrangian fluid dynamics and the particle path formulation of water waves |
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Natalie Douglas Geometric phases, locomotion of micro-organisms and twistor theory |
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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 | |
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| See the Postgraduate Research page for further details. |
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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 | |
| Springer Lecture Notes in Mathematics website | |
| Nonlinear Kelvin-Helmholtz problem |
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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 |
