Global existence and singularity of the Hill's type lunar problem with strong potential

Global existence and singularity of the Hill's type lunar problem with strong potential

We characterize the fate of the solutions of Hill's type lunar problem using the ideas of ground states from PDE. In particular, the relative equilibrium will be defined as the ground state, which satisfies some crucial energetic variational properties in our analysis. We study the dynamics of...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2020-10
Hauptverfasser: Deng, Yanxia, Ibrahim, Slim
Format: Artikel
Sprache:eng
Schlagworte:
Ground state
Mathematics - Analysis of PDEs
Mathematics - Classical Analysis and ODEs
Mathematics - Dynamical Systems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Deng, Yanxia
Ibrahim, Slim
description We characterize the fate of the solutions of Hill's type lunar problem using the ideas of ground states from PDE. In particular, the relative equilibrium will be defined as the ground state, which satisfies some crucial energetic variational properties in our analysis. We study the dynamics of the solutions below, at, and (slightly) above the ground state energy threshold.
doi_str_mv 10.48550/arxiv.2010.05130
format Article
fullrecord <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2010_05130</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2450682826</sourcerecordid><originalsourceid>FETCH-LOGICAL-a526-f72134d710b73856d339f726824f9281735868d6d2a3039c82baa10292f3dd3d3</originalsourceid><addsrcrecordid>eNotj8FLwzAYxYMgOOb-AE8GPHjqTL6vadOjDN2EgZeBx5Iu6ZaRtTVJdfvvjc7Tg8fjvfcj5I6zeS6FYE_Kn-zXHFgymODIrsgEEHkmc4AbMgvhwBiDogQhcEI-lq5vlKPmZEM03dZQ1WkabLcbnfI2nmnf0rg3dGWdeww0ngdD3dgpTwffN84c6beNexqi77sdHfpUEq1yt-S6VS6Y2b9Oyeb1ZbNYZev35dvieZ0pAUXWlsAx1yVnTYlSFBqxSl4hIW8rkLxEIQupCw0KGVZbCY1SnEEFLWqNGqfk_lL7R10P3h6VP9e_9PUffUo8XBLp7udoQqwP_ei79KmGXLA0JaHAH95hXBI</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2450682826</pqid></control><display><type>article</type><title>Global existence and singularity of the Hill's type lunar problem with strong potential</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Deng, Yanxia ; Ibrahim, Slim</creator><creatorcontrib>Deng, Yanxia ; Ibrahim, Slim</creatorcontrib><description>We characterize the fate of the solutions of Hill's type lunar problem using the ideas of ground states from PDE. In particular, the relative equilibrium will be defined as the ground state, which satisfies some crucial energetic variational properties in our analysis. We study the dynamics of the solutions below, at, and (slightly) above the ground state energy threshold.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2010.05130</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Ground state ; Mathematics - Analysis of PDEs ; Mathematics - Classical Analysis and ODEs ; Mathematics - Dynamical Systems</subject><ispartof>arXiv.org, 2020-10</ispartof><rights>2020. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.1063/5.0048880$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.2010.05130$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Deng, Yanxia</creatorcontrib><creatorcontrib>Ibrahim, Slim</creatorcontrib><title>Global existence and singularity of the Hill's type lunar problem with strong potential</title><title>arXiv.org</title><description>We characterize the fate of the solutions of Hill's type lunar problem using the ideas of ground states from PDE. In particular, the relative equilibrium will be defined as the ground state, which satisfies some crucial energetic variational properties in our analysis. We study the dynamics of the solutions below, at, and (slightly) above the ground state energy threshold.</description><subject>Ground state</subject><subject>Mathematics - Analysis of PDEs</subject><subject>Mathematics - Classical Analysis and ODEs</subject><subject>Mathematics - Dynamical Systems</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj8FLwzAYxYMgOOb-AE8GPHjqTL6vadOjDN2EgZeBx5Iu6ZaRtTVJdfvvjc7Tg8fjvfcj5I6zeS6FYE_Kn-zXHFgymODIrsgEEHkmc4AbMgvhwBiDogQhcEI-lq5vlKPmZEM03dZQ1WkabLcbnfI2nmnf0rg3dGWdeww0ngdD3dgpTwffN84c6beNexqi77sdHfpUEq1yt-S6VS6Y2b9Oyeb1ZbNYZev35dvieZ0pAUXWlsAx1yVnTYlSFBqxSl4hIW8rkLxEIQupCw0KGVZbCY1SnEEFLWqNGqfk_lL7R10P3h6VP9e_9PUffUo8XBLp7udoQqwP_ei79KmGXLA0JaHAH95hXBI</recordid><startdate>20201011</startdate><enddate>20201011</enddate><creator>Deng, Yanxia</creator><creator>Ibrahim, Slim</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20201011</creationdate><title>Global existence and singularity of the Hill's type lunar problem with strong potential</title><author>Deng, Yanxia ; Ibrahim, Slim</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a526-f72134d710b73856d339f726824f9281735868d6d2a3039c82baa10292f3dd3d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Ground state</topic><topic>Mathematics - Analysis of PDEs</topic><topic>Mathematics - Classical Analysis and ODEs</topic><topic>Mathematics - Dynamical Systems</topic><toplevel>online_resources</toplevel><creatorcontrib>Deng, Yanxia</creatorcontrib><creatorcontrib>Ibrahim, Slim</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Deng, Yanxia</au><au>Ibrahim, Slim</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Global existence and singularity of the Hill's type lunar problem with strong potential</atitle><jtitle>arXiv.org</jtitle><date>2020-10-11</date><risdate>2020</risdate><eissn>2331-8422</eissn><abstract>We characterize the fate of the solutions of Hill's type lunar problem using the ideas of ground states from PDE. In particular, the relative equilibrium will be defined as the ground state, which satisfies some crucial energetic variational properties in our analysis. We study the dynamics of the solutions below, at, and (slightly) above the ground state energy threshold.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2010.05130</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2020-10
issn 2331-8422
language eng
recordid cdi_arxiv_primary_2010_05130
source arXiv.org; Free E- Journals
subjects Ground state
Mathematics - Analysis of PDEs
Mathematics - Classical Analysis and ODEs
Mathematics - Dynamical Systems
title Global existence and singularity of the Hill's type lunar problem with strong potential
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-03T12%3A25%3A52IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Global%20existence%20and%20singularity%20of%20the%20Hill's%20type%20lunar%20problem%20with%20strong%20potential&rft.jtitle=arXiv.org&rft.au=Deng,%20Yanxia&rft.date=2020-10-11&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2010.05130&rft_dat=%3Cproquest_arxiv%3E2450682826%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2450682826&rft_id=info:pmid/&rfr_iscdi=true