Professor Robin Johnson
Professor of Applied Mathematics
- Email: robin.johnson@ncl.ac.uk
- Telephone: +44 (0) 191 222 7294
- Fax: +44 (0) 191 222 8020
Roles and Responsibilities
Retired, but still involved in some teaching and some School activities e.g. Vth and VIth form talks
Research Interests
Nonlinear wave propagation with applications to water waves
Soliton theory
Singular perturbation theory
Fluid mechanics
Esteem Indicators
Regular research visits to Vienna - 2006 to preseent
Attended Mittag-Leffler Institute by invitation - 2005
Undergraduate Teaching
During 2006-07:
MAS3112 - Introductory Fluids & the Theory of Flight
MAS2103/3103 - Complex Variable
- Johnson R. Periodic waves over constant vorticity: Some asymptotic results generated by parameter expansions. Wave Motion 2009, 46(6), 339-349.
- Johnson RS. Water waves near a shoreline in a flow with vorticity: Two classical examples. Journal of Nonlinear Mathematical Physics 2008, 15(2), 133-156.
- Constantin A, Johnson RS. On the non-dimensionalisation, scaling and resulting interpretation of the classical governing equations for water waves. Journal of Nonlinear Mathematical Physics 2008, 15(2), 58-73.
- Johnson RS. Edge waves: Theories past and present. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 2007, 365(1858), 2358-2376.
- Johnson RS. Some contributions to the theory of edge waves. Journal of Fluid Mechanics 2005, 524, 81-97.
- Johnson RS. Singular Perturbation Theory: Mathematical and Analytical Techniques with Applications to Engineering. New York, USA: Springer, 2004.
- Johnson RS. On solutions of the Camassa-Holm equation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2003,459 2035 1687-1708.
- Johnson RS. The Camassa-Holm equation for water waves moving over a shear flow. Fluid Dynamics Research 2003, 33(1-2), 97-111.
- Johnson RS. Camassa-Holm, Korteweg-de Vries and related models for water waves. Journal of Fluid Mechanics 2002, 455, 63-82.
- Constantin A, Johnson RS. Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis. Fluid Dynamics Research 2008, 40(3), 175-211.
- Johnson RS. A selection of nonlinear problems in water waves, analysed by perturbation-parameter techniques. Communications on Pure and Applied Analysis 2012, 11(4), 1497-1522.
- Johnson RS. Models for the formation of a critical layer in water wave propagation. Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 2012, 370(1964), 1638-1660.