{"id":386,"date":"2015-04-01T21:04:51","date_gmt":"2015-04-01T12:04:51","guid":{"rendered":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/wordpress\/?p=386"},"modified":"2015-04-01T21:04:51","modified_gmt":"2015-04-01T12:04:51","slug":"210451","status":"publish","type":"post","link":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/?p=386","title":{"rendered":"\u6d41\u4f53\u529b\u5b66\u30bb\u30df\u30ca\u30fc2005\/11\/21"},"content":{"rendered":"<p>_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/<br \/>\n_\/<br \/>\n_\/ \u6d41\u4f53\u529b\u5b66\u30bb\u30df\u30ca\u30fc \uff12\uff10\uff10\uff15 No. \uff11\uff13<br \/>\n_\/ \uff08\u6570\u7406\u7814 21\u4e16\u7d00\u7279\u5225\u8b1b\u6f14\u3068\u5171\u50ac\uff09<br \/>\n_\/<br \/>\n_\/ \u65e5 \u6642 : \uff10\uff15\u5e74 \uff11\uff12\u6708 \uff15\u65e5 (\u6708) \uff11\uff15\uff1a\uff10\uff10\u301c\uff11\uff16\uff1a\uff13\uff10<br \/>\n_\/<br \/>\n_\/ \u5834 \u6240 : \u4eac\u5927\u6570\u7406\u7814 \uff10\uff10\uff19\u53f7\u5ba4<br \/>\n_\/<br \/>\n_\/ \u8b1b \u5e2b\uff1a A.D.D. Craik \u6c0f (University of St.Andrews)<br \/>\n_\/ \u984c \u76ee\uff1a On the development of singularities in linear dispersive systems<br \/>\n_\/<br \/>\n_\/ \u5185 \u5bb9 :<br \/>\n_\/ Benilov, O&#8217;Brien &amp; Sazonov (2003) and Benilov (2004) describe &#8220;a new<br \/>\n_\/ type of instability&#8221; in a liquid film inside a rotating cylinder.<br \/>\n_\/ Though their linear systems support only neutrally-stable modes, they<br \/>\n_\/ find explosive disturbances which become singular after a finite<br \/>\n_\/ time. They suggest that this result casts doubt on the reliability of<br \/>\n_\/ modal analysis for prediction of instability; and they claim that<br \/>\n_\/ &#8220;Such cases have never been described in the literature, and they are<br \/>\n_\/ probably extremely rare.&#8221; Here, other examples are given, some of<br \/>\n_\/ which have been known (though not well-known) for many years. A<br \/>\n_\/ common feature of all these singularities is a local phase<br \/>\n_\/ synchronisation of short-wave modes; but the configuration of Benilov<br \/>\n_\/ et al. has the additional feature of eigenfunctions that exhibit very<br \/>\n_\/ large changes in amplitude within the spatial domain. The relevance,<br \/>\n_\/ or not, of such singularities to real physical systems is discussed.<br \/>\n_\/ (J.Fluid Mech. (2005) Vol.538, 137&#8211;151)<br \/>\n_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/<br \/>\n\u4e16\u8a71\u4eba\uff1a\u5927\u6728\u8c37 \u8015\u53f8(\u4eac\u5927\u6570\u7814)\u3001\u85e4 \u5b9a\u7fa9(\u4eac\u5927\u7406)\u3001\u677e\u672c \u525b(\u4eac\u5927\u7406)\u3001<br \/>\n\u5c71\u7530 \u9053\u592b(\u4eac\u5927\u6570\u7814)<br \/>\n\u30a2\u30c9\u30d0\u30a4\u30b6\u30fc\uff1a\u5c0f\u68ee \u609f\uff08\u4eac\u5927\u5de5\uff09\u3001\u85e4\u5742\u535a\u4e00\uff08\u4eac\u5927\u60c5\u5831\u5b66\uff09\u3001<br \/>\n\u8239\u8d8a \u6e80\u660e\uff08\u4eac\u5927\u60c5\u5831\u5b66\uff09\u3001\u6c34\u5cf6 \u4e8c\u90ce(\u540c\u5fd7\u793e\u5927\u5de5)\u3001\u4f59\u7530 \u6210\u7537\uff08\u4eac\u5927\u7406\uff09<br \/>\n\u9023\u7d61\u5148\uff1aohkitani@kurims.kyoto-u.ac.jp<br \/>\n\u30e1\u30fc\u30eb\u30ea\u30b9\u30c8\u9023\u7d61\u5148\uff1a semi-adm@kyoryu.scphys.kyoto-u.ac.jp<\/p>\n<p>\u623b\u308b [http:\/\/www.kyoryu.scphys.kyoto-u.ac.jp\/semi\/semi2.html]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/ _\/ _\/ \u6d41\u4f53\u529b\u5b66\u30bb\u30df\u30ca\u30fc \uff12\uff10\uff10\uff15 No. \uff11\uff13 _\/ \uff08 [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16,27],"tags":[],"class_list":["post-386","post","type-post","status-publish","format-standard","hentry","category-16","category-27"],"_links":{"self":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/386","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=386"}],"version-history":[{"count":0,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/386\/revisions"}],"wp:attachment":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=386"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=386"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=386"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}