Thomas J Bridges
Professor of Applied Mathematics
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Seminars and Conferences | ||
| Upcoming | |||
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BAMC 2012 University College London, 27-29 March 2012. | |||
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SIAM Nonlinear Waves and Coherent Structures University of Washington, Seattle, 13-16 June 2012. | |||
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Nonlinear Waves in Fluids Loughborough University, 12-14 September 2012. | |||
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Workshop: Spectral analysis, stability and bifurcation in modern nonlinear physical systems Banff International Research Station, Canada, 4-9 November 2012. | |||
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Conference: Geometric Mechanics and Control Theory Indian Institute of Science, Bangalore, 19-31 August 2013. | |||
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Theory of Water Waves Isaac Newton Institute for Mathematical Sciences, 14 July to 8 August 2014. | |||
| 2008-2011 | |||
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IMA Conference on Nonlinearity and Coherent Structures University of Reading, 6-8 July 2011. | |||
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British Applied Mathematics Colloquium 2011 University of Birmingham, 11-13 April 2011. | |||
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PDE Seminar Trinity College, Dublin, 15 February 2011. | |||
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Fluid Dynamics Seminar Imperial College, 02 February 2011. | |||
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Seminar in Applied Mathematics University of Birmingham, 03 December 2010. | |||
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Applied Mathematics Seminar University of Bergen, Norway, April 2010. | |||
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Mathematics Seminar University College Dublin, Ireland, February 2010. | |||
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Nonlinear Waves and the Maslov Index Mathematics Institute, University of Warwick, November 2009. | |||
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Dynamical Systems Seminar School of Mathematics, University of Manchester, 11 February 2009. | |||
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Workshop on Large Amplitude Internal Waves ICMS Edinburgh, 1-4 December 2008. | |||
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Conference on Nonlinear PDEs OxPDE, St Anne's College, Oxford University, 5 June 2008. | |||
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Applied Dynamics and Geometric Mechanics Mathematisches Forschungsinsitut Oberwolfach, Germany, 20-26 July 2008. | |||
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Colloquium in Mathematics University of Reading, Friday 15 February 2008. | |||
| Pre-2008 events | |||
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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 [2012] Geometric lift of paths of Hamiltonian equilibria and homoclinic bifurcation, Inter. J. Bif. & Chaos (in press). Final form Preprint .pdf | |
| TJB & D.J. Needham [2011] Breakdown of the shallow water equations due to growth of the horizontal vorticity, J. Fluid Mech. 679 655-666. Final form Preprint .pdf JFM Page | |
| H. Alemi Ardakani & TJB [2011] Shallow-water sloshing in vessels undergoing prescribed rigid-body motion in three dimensions, J. Fluid Mech. 667 474-519. Final form Preprint .pdf | |
| F. Dias, TJB & J.M. Dudley [2011] Rogue waves, Preprint Downloadable Preprint .pdf | |
| F. Chardard, F. Dias & TJB [2011] Computing the Maslov index of solitary waves. Part 2: Phase space with dimension greater than four Physica D 240 1334-1344 Downloadable Preprint .pdf | |
| TJB & N.M. Donaldson [2011] Variational principles for water waves from the viewpoint of a time-dependent moving mesh, Mathematika 57 147-173. Mathematika website Downloadable Preprint .pdf | |
| H. Alemi Ardakani & TJB [2010] Dynamic coupling between shallow-water sloshing and horizontal vehicle motion, Euro. J. Applied Math. 21 479-517. Downloadable Final-form Preprint .pdf | |
| 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 [2010] Multisymplectic structures and the variational bicomplex, Math. Proc. Camb. Phil. Soc. 148 159-178, Surrey Preprint .pdf | |
| D. Avitabile & TJB [2010] Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity, Physica D 239 1038-1047. 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 & G Derks [2003] Dimension breaking of nonlinear elliptic PDEs: satisfying the spectral condition geometrically, Surrey Preprint |
| 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 2010-2011 Academic Year |
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MATM016 Theory of Water Waves Autumn 2010 |
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MAT3020 Curves and Surfaces Spring 2011 |
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Current Postgraduate Research Students |
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Hamid Alemi Ardakani Rigid-body motion with interior shallow-water sloshing |
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Natalie Douglas Self-rotating life forms, connections and a numerical simulation of deformable bodies in inviscid flow |
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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 |
