On the long time behavior of KDV type equations
Identifieur interne : 000D33 ( Main/Curation ); précédent : 000D32; suivant : 000D34On the long time behavior of KDV type equations
Auteurs : Nikolay Tzvetkov [France]Source :
- Astérisque [ 0303-1179 ] ; 2005.
Descripteurs français
- Pascal (Inist)
- Wicri :
- topic : Mathématiques.
English descriptors
- KwdEn :
Abstract
In a series of recent papers, Martel and Merle solved the long-standing open problem on the existence of blow up solutions in the energy space for the critical generalized Korteweg-de Vries equation. Martel and Merle introduced new tools to study the nonlinear dynamics close to a solitary wave solution. The aim of the talk is to discuss the main ideas developed by klartiil-Nlerle, together with a presentation of previously known closely related results.
Url:
Links toward previous steps (curation, corpus...)
- to stream PascalFrancis, to step Corpus: Pour aller vers cette notice dans l'étape Curation :000031
- to stream PascalFrancis, to step Curation: Pour aller vers cette notice dans l'étape Curation :000068
- to stream PascalFrancis, to step Checkpoint: Pour aller vers cette notice dans l'étape Curation :000030
- to stream Main, to step Merge: Pour aller vers cette notice dans l'étape Curation :000D43
- to stream Hal, to step Corpus: Pour aller vers cette notice dans l'étape Curation :000023
- to stream Hal, to step Curation: Pour aller vers cette notice dans l'étape Curation :000023
- to stream Hal, to step Checkpoint: Pour aller vers cette notice dans l'étape Curation :000050
- to stream Main, to step Merge: Pour aller vers cette notice dans l'étape Curation :000D44
Links to Exploration step
Pascal:05-0358979Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">On the long time behavior of KDV type equations</title>
<author><name sortKey="Tzvetkov, Nikolay" sort="Tzvetkov, Nikolay" uniqKey="Tzvetkov N" first="Nikolay" last="Tzvetkov">Nikolay Tzvetkov</name>
<affiliation wicri:level="3"><inist:fA14 i1="01"><s1>Université de Lille 1, Département de Mathématiques</s1>
<s2>59655 Villeneuve d'Ascq</s2>
<s3>FRA</s3>
<sZ>1 aut.</sZ>
</inist:fA14>
<country>France</country>
<placeName><region type="region" nuts="2">Hauts-de-France</region>
<region type="old region" nuts="2">Nord-Pas-de-Calais</region>
<settlement type="city">Villeneuve d'Ascq</settlement>
</placeName>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">INIST</idno>
<idno type="inist">05-0358979</idno>
<date when="2005">2005</date>
<idno type="stanalyst">PASCAL 05-0358979 INIST</idno>
<idno type="RBID">Pascal:05-0358979</idno>
<idno type="wicri:Area/PascalFrancis/Corpus">000031</idno>
<idno type="wicri:Area/PascalFrancis/Curation">000068</idno>
<idno type="wicri:Area/PascalFrancis/Checkpoint">000030</idno>
<idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">000030</idno>
<idno type="wicri:doubleKey">0303-1179:2005:Tzvetkov N:on:the:long</idno>
<idno type="wicri:Area/Main/Merge">000D43</idno>
<idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:hal-00019957</idno>
<idno type="url">https://hal.archives-ouvertes.fr/hal-00019957</idno>
<idno type="wicri:Area/Hal/Corpus">000023</idno>
<idno type="wicri:Area/Hal/Curation">000023</idno>
<idno type="wicri:Area/Hal/Checkpoint">000050</idno>
<idno type="wicri:explorRef" wicri:stream="Hal" wicri:step="Checkpoint">000050</idno>
<idno type="wicri:doubleKey">0303-1179:2005:Tzvetkov N:on:the:long</idno>
<idno type="wicri:Area/Main/Merge">000D44</idno>
<idno type="wicri:Area/Main/Curation">000D33</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">On the long time behavior of KDV type equations</title>
<author><name sortKey="Tzvetkov, Nikolay" sort="Tzvetkov, Nikolay" uniqKey="Tzvetkov N" first="Nikolay" last="Tzvetkov">Nikolay Tzvetkov</name>
<affiliation wicri:level="3"><inist:fA14 i1="01"><s1>Université de Lille 1, Département de Mathématiques</s1>
<s2>59655 Villeneuve d'Ascq</s2>
<s3>FRA</s3>
<sZ>1 aut.</sZ>
</inist:fA14>
<country>France</country>
<placeName><region type="region" nuts="2">Hauts-de-France</region>
<region type="old region" nuts="2">Nord-Pas-de-Calais</region>
<settlement type="city">Villeneuve d'Ascq</settlement>
</placeName>
</affiliation>
</author>
</analytic>
<series><title level="j" type="main">Astérisque</title>
<idno type="ISSN">0303-1179</idno>
<imprint><date when="2005">2005</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><title level="j" type="main">Astérisque</title>
<idno type="ISSN">0303-1179</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Blow up (mathematics)</term>
<term>Energy space</term>
<term>Existence of solution</term>
<term>Generalized equation</term>
<term>Hamilton equation</term>
<term>Korteweg de Vries equation</term>
<term>Mathematics</term>
<term>Partial differential equation</term>
<term>Solitary wave</term>
<term>Solution blow up</term>
</keywords>
<keywords scheme="Pascal" xml:lang="fr"><term>Equation dérivée partielle</term>
<term>Equation Korteweg de Vries</term>
<term>Equation Hamilton</term>
<term>Existence solution</term>
<term>Explosion solution</term>
<term>Onde solitaire</term>
<term>Mathématiques</term>
<term>Dynamique non linéaire</term>
<term>Espace énergie</term>
<term>Equation généralisée</term>
<term>Explosion temps fini</term>
</keywords>
<keywords scheme="Wicri" type="topic" xml:lang="fr"><term>Mathématiques</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">In a series of recent papers, Martel and Merle solved the long-standing open problem on the existence of blow up solutions in the energy space for the critical generalized Korteweg-de Vries equation. Martel and Merle introduced new tools to study the nonlinear dynamics close to a solitary wave solution. The aim of the talk is to discuss the main ideas developed by klartiil-Nlerle, together with a presentation of previously known closely related results.</div>
</front>
</TEI>
<double idat="0303-1179:2005:Tzvetkov N:on:the:long"><HAL><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">On the long time behavior of KdV type equations [after Martel-Merle]. Séminaire Bourbaki. Vol. 2003/2004.</title>
<author><name sortKey="Tzvetkov, Nikolay" sort="Tzvetkov, Nikolay" uniqKey="Tzvetkov N" first="Nikolay" last="Tzvetkov">Nikolay Tzvetkov</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-32" status="VALID"> <idno type="IdRef">161603971</idno>
<idno type="RNSR">199812852H</idno>
<orgName>Laboratoire Paul Painlevé - UMR 8524</orgName>
<orgName type="acronym">LPP</orgName>
<desc> <address> <addrLine>Université de Lille - Sciences et technologiesU.F.R. de Mathématiques 59 655 Villeneuve d'Ascq Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://math.univ-lille1.fr/</ref>
</desc>
<listRelation> <relation active="#struct-374570" type="direct"></relation>
<relation name="UMR8524" active="#struct-441569" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-374570" type="direct"><org type="institution" xml:id="struct-374570" status="VALID"> <idno type="IdRef">223446556</idno>
<orgName>Université de Lille</orgName>
<date type="start">2018-01-01</date>
<desc> <address> <addrLine>Lille</addrLine>
<country key="FR"></country>
</address>
<ref type="url">https://www.univ-lille.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR8524" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"> <idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc> <address> <country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:hal-00019957</idno>
<idno type="halId">hal-00019957</idno>
<idno type="halUri">https://hal.archives-ouvertes.fr/hal-00019957</idno>
<idno type="url">https://hal.archives-ouvertes.fr/hal-00019957</idno>
<date when="2005">2005</date>
<idno type="wicri:Area/Hal/Corpus">000023</idno>
<idno type="wicri:Area/Hal/Curation">000023</idno>
<idno type="wicri:Area/Hal/Checkpoint">000050</idno>
<idno type="wicri:explorRef" wicri:stream="Hal" wicri:step="Checkpoint">000050</idno>
<idno type="wicri:doubleKey">0303-1179:2005:Tzvetkov N:on:the:long</idno>
<idno type="wicri:Area/Main/Merge">000D44</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en">On the long time behavior of KdV type equations [after Martel-Merle]. Séminaire Bourbaki. Vol. 2003/2004.</title>
<author><name sortKey="Tzvetkov, Nikolay" sort="Tzvetkov, Nikolay" uniqKey="Tzvetkov N" first="Nikolay" last="Tzvetkov">Nikolay Tzvetkov</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-32" status="VALID"> <idno type="IdRef">161603971</idno>
<idno type="RNSR">199812852H</idno>
<orgName>Laboratoire Paul Painlevé - UMR 8524</orgName>
<orgName type="acronym">LPP</orgName>
<desc> <address> <addrLine>Université de Lille - Sciences et technologiesU.F.R. de Mathématiques 59 655 Villeneuve d'Ascq Cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://math.univ-lille1.fr/</ref>
</desc>
<listRelation> <relation active="#struct-374570" type="direct"></relation>
<relation name="UMR8524" active="#struct-441569" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-374570" type="direct"><org type="institution" xml:id="struct-374570" status="VALID"> <idno type="IdRef">223446556</idno>
<orgName>Université de Lille</orgName>
<date type="start">2018-01-01</date>
<desc> <address> <addrLine>Lille</addrLine>
<country key="FR"></country>
</address>
<ref type="url">https://www.univ-lille.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR8524" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"> <idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc> <address> <country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</analytic>
<series><title level="j">Asterisque</title>
<idno type="ISSN">0303-1179</idno>
<imprint><date type="datePub">2005</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass></textClass>
</profileDesc>
</teiHeader>
</TEI>
</HAL>
<INIST><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">On the long time behavior of KDV type equations</title>
<author><name sortKey="Tzvetkov, Nikolay" sort="Tzvetkov, Nikolay" uniqKey="Tzvetkov N" first="Nikolay" last="Tzvetkov">Nikolay Tzvetkov</name>
<affiliation wicri:level="3"><inist:fA14 i1="01"><s1>Université de Lille 1, Département de Mathématiques</s1>
<s2>59655 Villeneuve d'Ascq</s2>
<s3>FRA</s3>
<sZ>1 aut.</sZ>
</inist:fA14>
<country>France</country>
<placeName><region type="region" nuts="2">Hauts-de-France</region>
<region type="old region" nuts="2">Nord-Pas-de-Calais</region>
<settlement type="city">Villeneuve d'Ascq</settlement>
</placeName>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">INIST</idno>
<idno type="inist">05-0358979</idno>
<date when="2005">2005</date>
<idno type="stanalyst">PASCAL 05-0358979 INIST</idno>
<idno type="RBID">Pascal:05-0358979</idno>
<idno type="wicri:Area/PascalFrancis/Corpus">000031</idno>
<idno type="wicri:Area/PascalFrancis/Curation">000068</idno>
<idno type="wicri:Area/PascalFrancis/Checkpoint">000030</idno>
<idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">000030</idno>
<idno type="wicri:doubleKey">0303-1179:2005:Tzvetkov N:on:the:long</idno>
<idno type="wicri:Area/Main/Merge">000D43</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">On the long time behavior of KDV type equations</title>
<author><name sortKey="Tzvetkov, Nikolay" sort="Tzvetkov, Nikolay" uniqKey="Tzvetkov N" first="Nikolay" last="Tzvetkov">Nikolay Tzvetkov</name>
<affiliation wicri:level="3"><inist:fA14 i1="01"><s1>Université de Lille 1, Département de Mathématiques</s1>
<s2>59655 Villeneuve d'Ascq</s2>
<s3>FRA</s3>
<sZ>1 aut.</sZ>
</inist:fA14>
<country>France</country>
<placeName><region type="region" nuts="2">Hauts-de-France</region>
<region type="old region" nuts="2">Nord-Pas-de-Calais</region>
<settlement type="city">Villeneuve d'Ascq</settlement>
</placeName>
</affiliation>
</author>
</analytic>
<series><title level="j" type="main">Astérisque</title>
<idno type="ISSN">0303-1179</idno>
<imprint><date when="2005">2005</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><title level="j" type="main">Astérisque</title>
<idno type="ISSN">0303-1179</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Blow up (mathematics)</term>
<term>Energy space</term>
<term>Existence of solution</term>
<term>Generalized equation</term>
<term>Hamilton equation</term>
<term>Korteweg de Vries equation</term>
<term>Mathematics</term>
<term>Partial differential equation</term>
<term>Solitary wave</term>
<term>Solution blow up</term>
</keywords>
<keywords scheme="Pascal" xml:lang="fr"><term>Equation dérivée partielle</term>
<term>Equation Korteweg de Vries</term>
<term>Equation Hamilton</term>
<term>Existence solution</term>
<term>Explosion solution</term>
<term>Onde solitaire</term>
<term>Mathématiques</term>
<term>Dynamique non linéaire</term>
<term>Espace énergie</term>
<term>Equation généralisée</term>
<term>Explosion temps fini</term>
</keywords>
<keywords scheme="Wicri" type="topic" xml:lang="fr"><term>Mathématiques</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">In a series of recent papers, Martel and Merle solved the long-standing open problem on the existence of blow up solutions in the energy space for the critical generalized Korteweg-de Vries equation. Martel and Merle introduced new tools to study the nonlinear dynamics close to a solitary wave solution. The aim of the talk is to discuss the main ideas developed by klartiil-Nlerle, together with a presentation of previously known closely related results.</div>
</front>
</TEI>
</INIST>
</double>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Curation
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000D33 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Curation/biblio.hfd -nk 000D33 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Mathematiques |area= BourbakiV1 |flux= Main |étape= Curation |type= RBID |clé= Pascal:05-0358979 |texte= On the long time behavior of KDV type equations }}
This area was generated with Dilib version V0.6.33. |