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_/ 流体力学セミナー ２００５ No. １３
_/ （数理研 21世紀特別講演と共催）
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_/ 日 時 : ０５年 １２月 ５日 (月) １５：００〜１６：３０
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_/ 場 所 : 京大数理研 ００９号室
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_/ 講 師： A.D.D. Craik 氏 (University of St.Andrews)
_/ 題 目： On the development of singularities in linear dispersive systems
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_/ 内 容 :
_/ 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.
_/ (J.Fluid Mech. (2005) Vol.538, 137–151)
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世話人：大木谷 耕司(京大数研)、藤 定義(京大理)、松本 剛(京大理)、
山田 道夫(京大数研)
アドバイザー：小森 悟（京大工）、藤坂博一（京大情報学）、
船越 満明（京大情報学）、水島 二郎(同志社大工)、余田 成男（京大理）
連絡先：ohkitani@kurims.kyoto-u.ac.jp
メールリスト連絡先： semi-adm@kyoryu.scphys.kyoto-u.ac.jp

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