Modulation theory, dispersive shock waves and Gerald Beresford Whitham

PHYSICA D-NONLINEAR PHENOMENA

卷:333

Article; Proceedings Paper

Minzoni, A. A.¹  Smyth, Noel F.² 

[1] Univ Nacl Autonoma Mexico, IIMAS, Dept Math & Mech, Mexico City 01000, DF, Mexico

[2] Univ Edinburgh, Sch Math, Edinburgh EH9 3FD, Midlothian, Scotland

关键词: Modulation theory;    Dispersive shock wave;    Undular bore;    Averaged Lagrangian;    Biography;   

DOI  :  10.1016/j.physd.2015.10.017

来源: Elsevier

【 摘 要 】

Gerald Beresford (GB) Whitham, FRS, (13th December, 1927-26th January, 2014) was one of the leading applied mathematicians of the twentieth century whose work over forty years had a profound, formative impact on research on wave motion across a broad range of areas. Many of the ideas and techniques he developed have now become the standard tools used to analyse and understand wave motion, as the papers of this special issue of Physica D testify. Many of the techniques pioneered by GB Whitham have spread beyond wave propagation into other applied mathematics areas, such as reaction diffusion, and even into theoretical physics and pure mathematics, in which Whitham modulation theory is an active area of research. GB Whitham's classic textbook Linear and Nonlinear Waves, published in 1974, is still the standard reference for the applied mathematics of wave motion. In honour of his scientific achievements, GB Whitham was elected a Fellow of the American Academy of Arts and Sciences in 1959 and a Fellow of the Royal Society in 1965. He was awarded the Norbert Wiener Prize for Applied Mathematics in 1980. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free