MATH

RIMS

21世紀COE特別講演

    Date : 12月 5日 (月) 15:00〜16:30
    Place : 数理研009号室
    Lecturer: Alex D.D. Craik
    (University of St Andrews)
    Title : On the development of singularities in linear dispersive systems
    Abstract: Benilov, O'Brien & Sazonov (2003) and Benilov (2004) describe "a new type of instability" in a liquid film inside a rotating cylinder. Though their linear systems support only neutrally-stable modes, they find explosive disturbances which become singular after a finite time. They suggest that this result casts doubt on the reliability of modal analysis for prediction of instability; and they claim that "Such cases have never been described in the literature, and they are probably extremely rare." Here, other examples are given, some of which have been known (though not well-known) for many years. A common feature of all these singularities is a local phase synchronisation of short-wave modes; but the configuration of Benilov et al. has the additional feature of eigenfunctions that exhibit very large changes in amplitude within the spatial domain. The relevance, or not, of such singularities to real physical systems is discussed

 

担当:岡本 久

拠点形成の目的
拠点形成実施計画
教育実施計画
ポスドクの公募
事業推進担当者
21世紀COEで行なった事業
  (研究集会・講演会等)

数理解析研究所大学院理学研究科数学・数理解析専攻



Last modified: October 11, 2005