Breadcrumb
Dr Richard Porter
PhD Mathematics
Office: 2.7
Department of Mathematics
University Walk, Clifton, Bristol BS8 1TW, U.K.
Telephone:
+44 (0)117 928-7996
Extension: 87996
Mail: richard.porter
http://www.maths.bris.ac.uk/~marp
Education
- BSc. Mathematics
- University of Bristol (1992)
- PhD Mathematics
- University of Bristol (1996)
Publications
Approximations to wave scattering by an ice sheet of variable thickness over undulating bed topography. (2004)
D. Porter, R. Porter
J. Fluid Mech. vol: 509 , Pages: 145 - 179
DOI: 10.1017/S0022112004009267
URL provided by the author
Research Interests
Developing and implementing sophisticated analytic techniques for solving boundary-value problems arising from problems in linearised water wave theory, acoustics, electromagnetics and elasticity. In particular: wave scattering by varying topography and submerged obstacles; trapped modes, edge waves and Rayleigh-Bloch waves in water waves and acoustics; scattering by periodic arrays of infinite, finite and semi-infinite obstacles; scattering by thin elastic sheets and ice sheets on water.
Research Themes
Sample Research Topic
Wave trapping by a submerged elliptical torus
In the presence of this obstacle, low amplitude waves on the surface of the water may oscillate at a certain frequency for all time, with none of the waves radiating their energy away from the obstacle. Thus, it becomes a trapped wave.