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On the use of symmetrizing variables for vacuum

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(1)On the use of symmetrizing variables for vacuum Thierry Gallouët, Jean-Marc Herard, Nicolas Seguin. To cite this version: Thierry Gallouët, Jean-Marc Herard, Nicolas Seguin. On the use of symmetrizing variables for vacuum. Calcolo, Springer Verlag, 2003, vol 40, no 3, pp 163-194. �hal-00003439�. HAL Id: hal-00003439 https://hal.archives-ouvertes.fr/hal-00003439 Submitted on 1 Dec 2004. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

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(69) •Œ”*vkv8e?jªjpomn< ~MxŠ~?jwŽjjwmom9j øy dÎ<˜ ~MEj|Xem‘MmoŽiv8vkvIpne pogieM|}’ m pnõ~Mv8jrMl¬‚?|XeMpovXgiv hUK mox¬û Š<~Mjwû  j< |XG<e?K r |Xmª¡­|)”*‡Av8‚Mj¥eMxmox¬pngi~MvkjeÝ]vXjê‡b|}a loJcj¥a GD]XyvIgieMpvkxpnvkŽij9eM|}j"loŽirM jx|}ln‘Mj9‘C|Xj9mn|Xge?lnû mª’< y pn ~d|X~Mp2jln‰j9vI|Xpom2~Ýpo~?x‚?j¥lovkhkeMjwmêj¥|}xmovImoeMv8eMxjg¦|}xwpopojjrrddggpnpn~~ ”‘M*lnvGvXj2h8gmor?x¬j~Mrùjw‰Gj¥ gi´\”*m[*]_v8rM^Rj`jðxmo[ lnx¬j9~M|Xjwmng4 e?j’po‡Av,vklvk¨ ‰Mp¬­ |XgieÝa Jdloa GDjwŽ] j$|$­ hk|X2œ e8Gkp¥™gieG|Xe?pnjr l†‡†pn|X~MxjjeÝhkgi|XeMŽi‚Mxlnjwj9mª|Xmnv}g‡Œe?’‘Mlo¤2jmndmo~8‚M‚Mlnj m9y

(70) |}poeM~Mr vI‚Mr?’kj~,eMmopogi~?p†j¥xgm2vkeMŽimnjpomol¬m¥|Xgilne8j¬p“ mngie pologi‰Cxjpngipnhkpojjlpn~|X’k|XlneÝjjpn]~Mjje8vI5p eMj¥dgi’kpogi~ùhIjpne ~Mj‰8 jŸM4 |X¡4xp”d”*v8j¥gjwmn)xŠ~?|Xje?e jkmny4vkŽipn‚M~Mpoj¥givI’ke jweMÎj<š lŠ3|}dŽd~M‰jjwe<~|$|Xh8‘?gvI‘M‚MŽiGlgieMvX’Z‡ K  Š ¡4”dv8jmnG<x¬~MK,jhGm jI¤ a Jda ‹fGP]mgi| m ln‚Mjmnmogi‚MeMŽi’êp$y8”*xv8vkjd]mo‘Mx¬‚M~MpŠj|}]pogij#vke?|XpmvXpo~?‡3j m¬|$d‡Ajw|Xp†ŽiªŽ‰Chkvk|}‚?ŽhIeMjrm|Xdlnªgipo~2gieMmomn‚Mpoj9‘C|}jrlomnv}vk‡ueMgiõxv8‰CrMj‚M~e?|$vXh8hgivkmo‚Mx¬lL~Mj|X]lnvkj ‚Me?vkr¥l po~Mjf¡4”dj4 Ÿ8v8gjŒp´\[e)mn]x¬^f~M|$` Œjð [‰?Žj$vý y8‚M‚Mmn‘ge?d’~Mpoj~Me j ]‘Mlngv8lnvXlovI‡ƒlƒpn~pnj|Xx¬pf~MxeMjgiŽi€8ŽL‚Mhkj|XgŽie‚Mjw|XmŒŽiŽvXx9‡L|}‘Mmolnjjm$mo¤Lmn‚M‹Œloe8j K d|$GlnyIj)jhk|}jwgipe ed‘C~?vkjmogiepngxhIvkjkeMy0r?dgpn~Mgijvke,e ‚Mû œ9mogi˜IeMý’]gmpo~M‡Aû‚Mj Ž ô Ži4 ¡4Žij”*ryIvGpoj"~?mojx¬lo~Mjjgi]mdj eMv2vkpolŒ~?jpn~Mvklnj¥gpn”dgix9v8|Xj Ž mneMxŠj$~?|Xjl†“†hkj9|Xýwxw¤4‚M‚M•Œ vIeMj|}poŽ~?]jvkŽijmnmoptm$|}y渎 |}E‘M|$‘C8jmªeMrM|}gi‘MŸ¥‘#°j$|XgdloŠ mnm¥~MvgieÝdm‘Ml¬po|X~Mxjpngigixj9ý‘CyvklnpnpŠ~M|Xje8p

(71) xjw‡^Ž|}Ždxhkpƒ|}pnŽi~‚M|Xjpv}x‡ŒŽivk‘MmnjŒlo4 jpnmnvêmo‚M^| ln;j dd|XŽigiŽCŽiŽƒ‰vIlnj‚M)eMr|}û |}ge,lo ‘Cû vkdmogi~MpnjghIlojj d~Mjwe | hkjln)mnpolnvkeM’]lŠ|Xlnj¬‡^|}xpogivke E|$hIjrMjhIjŽivk‘Mm û po~C|XpŒgimfpovm¬|$d~Mje Z¼ Œh%ø¨My0d~Mjlnj`Œ,r?jeMvkpnjmpo~Mj ‚Me?gpdvI‚M?p d|Xlor]eMvkln)|}ŽhIjxpovIl#|}pdpo~Mj‰Cvk‚MeMrC|XloMýwy|Xmnmo‚M]gieM’mop¬|XeMrC|XlorUzd¡ ˆ xvIeMrMgipogivkie ' “  €¨ ¼ÎžM¤ X 6‡ j#pn‚MloeúeMv øpnv¥L|X|}e„ mL¢ A–§  P_K† P Rb ñQ B û |}eMrpo~8‚Mm a û K Bk KON¥ý û H8ý †P ý€y ƒjj]‘M~|Xmngi÷jpo~|}p jd€8‚~M|}gixŠpo~Ýgivke pn‚Mû loœ9e?™kmªýpnvU|$‰ªj ‰CK jloj9KO|}rN |Xm K ¨ © d~?KO8jN e,X ‡Av8î xK ‚Mb mnge?’UKON vkeÝpnK~MgimtE¢ KjNA#X –? ýª|}© loS j¥û ~mogiJC]?ý ¥%gŽ¦¦|}lŒ¤ Bfpo~Cj|XeMeÝxjgie hk|}pnx~M‚Mj‚M‘Cjl®‘‡Aj|}xpop2pojw’GloeM|}mm ð ‡Aû l¬|X]jƒvIlo²¤4”djmn‚MŽipomdvkerMgimnx‚MmomngivkeUS |X‰CvXhkjX po~8‚MmdS ~?vkŽirX pnlo‚MjkS ¤ S. X. œ$¨.

(72) d~Mjmox¬~M¼¸I\jwJIbjdKýw|X§ Žimovf‰je?j ô pom‡AlnvkQpo~?jL‡AvIŽiŽvdgieM’‘Mlnvk‘Cjlopngjwm9y8mo~C|Xlojwrª‰8ª|}ŽŽ 4 ¡4”dv8jmox¬~Mj]jmL‚MmngieM’Œhk|}log¦|X‰MŽij N û X ´ ‘Mdlnðnjï moMjwì9loðhkAj2Zí gilGe8ó hk|X‹Œlo‘Mg¦|}‘MeMlnxvXjŒŸ8gv}‡ |Xû Jpnj­ILKChkýL|}Žihk‚M|}jlom4g¦|XvX‰M‡ŽigijeGmpnjpolo~?]lovkj‚?rM’kg¦~|XpnjLpo~Mmojp¬|Xe8pn‚Mjmƒ]v8jxloxwgix9‚M|}loŽgieMx’vke8gieªpŠ|}pnx~MpdjdrMŽigigimoeMxwj9vk|Xe8lnpogigi÷e8j‚Mr¥gip†”dGgi¤ j)|}eMe‘MlovI‰MŽij dgie~M§j"J ‘Mlov8vXJ ‡gmdpnloJ€gih8¥ g¦|XŽmnJ%gi¦ùeMx|XjeMgirUeMmn|}jŽlomnpnv‘ge?K p’ J€¥ K J%¦ K€¥ povI’kjK%pn~M¦dj¤ ^l dgipo~ K%¥ K€¦ùgej€8‚|}pogivke?m û œIœ œ9™ký*lojmn‚MŽipom X bX ©X X b X X© X X dðnï Mì9ð An í m?ó ‹Œmnmo‚M]ge?’ªpn~Mjmop¬|Xpnj#Ž¦2| <p¬|X²IjmŒpn~Mjf‡Avkln § H û Ký "PH g 8‘Xpo S S d~Mjwlo j "#|}eM r g4|XlnjLloj$|XŽ8xvke?mopŠ|}e8pom9y}po~Mje2xjŽiŽIhk|XŽi‚Mjm4|X‘|}lop‡6lovkQ|vXh8gieM’xvke8p¬|Xxp

(73) rMgimoxvIeGpngieG‚?gp†f‘Mlojwmojlnhkj gie8hk|Xlng |}eMxjfvX‡L‰vIpo~hkjwŽv8xgip†|}eMr‘Mlojmnmo‚Mlnjªhk|}log¦|X‰?Žjwm9¤ deMvI~Mpdj2vk‘MeMlnŽivG]v}‘‡Ejl®‡A|$j¥xpf‰’Gj"|}‡AmŒvI¢ ‚MeMAr,–yCge,‰M‚M|XpŒ‘M‘C|XŽijmneMvªrMLgiŸU|X]±M¤)•f|}vkeêpn¢jªApn~–|Xp|Xe?por)~?jªLŽ¦|}|Xgpnpdpoj¢ lfA‡^–|}giŽiªv}‡ƒgie8 pojlne|XŽL± jweMb jlo’Igijmb gýoe?ýwx¤LŽi‚MdrM~Mjjm û P† b ñ B û B B ñrq lnxj9vI|Xe8rMpŠ|Xjwl#xwpƒgimrMgi|XmnŽixmovkv¥e8lnpoj¬gie8‡Aj‚Mlngilop†j r,dpo~Mv]jloejxlnjwjeGmopn^p logixpnvkglne?²)’ª‰8pnvªmn–Mpo|XÆg æ‚MjwlnjeMŽLjr|XeM’8r|Xmd‹f¢ ‰MA’kl¬–|XyIŽiZŽ vklΙMpoœ v 

(74) ‡AÎvk™k8‘l<™ X o|X0y eUÎî™k|X<˜ CŽipn‡AjvklolLeS ]|}povkgihkln^j jddxvk|$]î ‘MpnŽivjŸª~|}¢ eMArM–Žij ¤ .Õ*). +úá3÷êÚÛ%ÝFâü^Û%Úäá3ü?ã%ä. ‹<‚Mmngi‘CeMj’¥l®‡AgijeMxgippog¦’G|X|}ŽCm­rmn|XpŠp¬|}|pojŒgieŽ¦|2moÝ~?vG~x¬|}²]mLpo‰C‚Mj‰Cjjej‚?Ÿ8mo‘Cjr¥jlopngivk’kjwjweGpopn~Mm9jy€l dd~MgigipoxŠ~~]§ ’k< je?jlŠ|}¤

(75) poj¯Ýhkj |}xô ‚Mln‚MmopL,‘?¤lovXBfh8jgieMrMxjdjkmoy0vIjjL‚Mlnmojjkmo‚M§ ŽipnmƒvI‰MpŠ|}ge?jr Xtsu. H. K. J. ˆ”*j¬g’I‡Ap ~8p œœ œ$œ$¨¨ u 8G¨k¨I¨I¨k¨ ¨ u drMvI~M‚Mgimf‰MŽilojLjmnl¬‚M|XloŽipoj.m‡^|Xgixe pngi|2vke^l¬|XEpn|$~MhIjj4l^gdm girM© j÷vkeMj2vX‡Lhk|}x‚M‚M,¤L‹Œxwpo‚|}ŽŽi8y8po~Mj"Žgi]gp{U|Xx¬~Ue8‚M¥‰CjldgieU|2mo8]jpolngx$|XŽ {Uzd¡ |}x¬~eGe8‚?‚M¥¥‰‰Cjjl$lL§ gimE' |}‘M ‘MlnvXŸGgi¨%¼ PG|Xž?†pojwy­b Ž]|}û eMdœkr ~MDœ gi¼Î|x¬°?~¤dgieMm~MjpojŒ~8ln‚Mxwjm

(76) vk’k‚?j€8Ž ‘?|}‚lª‚M|XpŠŽI]|}popovŒjgimovkž~ e~M|}djwŽMlogiloj9pojwýw~<moy ‚Mdœ9Žipo™I~M.m ±kj¨Ilnj9¨j|XlneMm4j#v8givIerM‰MjpopŠm~M|}jLgieM‘?j’klor¥j‚Mmnln‚Mjje8mnmgp­e?—kx$’ªýt|Xpnmolo~MjIjjdyXmnpo‘‡A~MvIjjxwŽiŽpogv gie?dhkgjpngiŽig¦eM8|X’ ¤Ž ûô ˆ ô “ 4 jwŽv8xgip†‘Mlnv ô Žijm~|$hIjX ‰jwjeݑMŽivkpnpojrUpn~Mvk‚?’k~,po~Mj,|Xloj9& \ì * " ' "#v ,ìwòŠò giepo~Mj¥hk|}x‚M‚M|Xlnj9|M¤ †p¥‚Mmnpd‰j jgie]po‘M~M~j|}hkmogi|}÷xj‚MrU‚Mpn~|X|Xplnj9eM|¥v]|XxlnŽijtgi‘M|}‘M‘MgieM‘M’)lnvX|}ŸG‘Mgi‘Mln|XvXpoŸGjwgiŽ]|Xœ9po¨ givIebe¥wtgmf|}eM‚Mr mojwœ$rݨ ~MbŠjbdlojIln¤ªjmo{‘CjgixeMpngig¥hIj‚MŽi G¤ hk|XŽi‚Mjwm#v}‡LrMjeMmngp†úvkl‘Mlojwmomo‚?loj † † d‘Mln~Mvkj‘|}mn’Gjx|}vkpogie?eMr’2mnvXjhklojgijl m¥eMv}j9‡Œ|Xlol¬jýdmn‚Mhk|}Žipoxm ‚M‚Mû ô ,’k¤‚Mln †jempo~M°ký"gimdxx9vI|}lomolojkjwy?mo‘Cpo~MvkjeMrMgieMm]gipnpog vU|}ŽpnrC~M|XjpŠ|"xvkvX]‡L‘Mpn~M‚Mjp¬|X”dpogigivIje )v}|}‡#eMe¥|U‘MmnlnpovklovI‰MeMŽij’, mo~Mlnj9v8|Xx¬r?/² m9E§ |$hIj û H K J ˆ”dj¬gi‡6’kp ~8p Dœ I¬™k€ž œ ¼iœ9¨ † œ9œ$¨ ¨ † u © ¨¨ de8‚M~M¥j]‰CmojvIleMgigixªm]‘Cpovk~MgijUe8pm¬|Xgie]jpn~M|}j mœ.g“^eùl¬|Xln‘Mj¬ln‡^j|Xh8xwgipovkgi‚Mvkemx9E|}|$mohIjj¥m$¤ lojd€8‚M~MgijUlnjmªs jwgie8mo~<polnv8xrMvI‚Me8xpŠgi|XeMgi’UeMm|Xeݘk™Ijw¨keG¨,pnloeMvIv8‘GrM,jmxvI~Mlolojwjwloxjkpo¤ügivke

(77) d¤~MjdmnjÝ~Mjge?zdgpn¡ g¦|Xˆ Ž xdvIeM~MrMjgilopoj givIeMmp†Gb ‘?ýdgx$|X|XmdŽi‚?Žimo‚lo|}jwmoŽŽi‚M¥ŽiprMvIgie eMj |]ΉM<š ­Živ giQeMmopn‚Mj9‘,|XrvX‡ƒv}‡­pn~Mpoj2~?jxv8xrM‚Mjlnlojde8~MpŒjmne,8‚MmogieMjw’polomngipŠ÷|XgieMe?’r|Xhkln|}r log¦hk|X‰M|}loŽijkg¦|X¤ ‰MŽij N û x I+JIbKý û x B X ´ X. œIœ.

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En ouvrant cette page avec Netscape composer, vous verrez que le cadre prévu pour accueillir le panoramique a une taille déterminée, choisie par les concepteurs des hyperpaysages

Chaque séance durera deux heures, mais dans la seconde, seule la première heure sera consacrée à l'expérimentation décrite ici ; durant la seconde, les élèves travailleront sur

A time-varying respiratory elastance model is developed with a negative elastic component (E demand ), to describe the driving pressure generated during a patient initiated

The aim of this study was to assess, in three experimental fields representative of the various topoclimatological zones of Luxembourg, the impact of timing of fungicide

Attention to a relation ontology [...] refocuses security discourses to better reflect and appreciate three forms of interconnection that are not sufficiently attended to