ON THE ASYMPTOTIC DYNAMICS OF THE VLASOV-YUKAWA-BOLTZMANN SYSTEM NEAR VACUUM
In this pape,~ we study uniform L1-stability and asymptotic completeness of the Vlasov-Yukawa-Boltzmann （V-Y-B） system. For a sufficiently small rand smooth initial data, we show that classical solutions exist globally and satisfy dispersion estimates, uniform L1-stability with respect to initial da...
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| Veröffentlicht in: | Acta mathematica scientia 2015-07, Vol.35 (4), p.887-905 |
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| container_title | Acta mathematica scientia |
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| creator | CHOI, Sun-Ho HA, Seung-Yeal |
| description | In this pape,~ we study uniform L1-stability and asymptotic completeness of the Vlasov-Yukawa-Boltzmann （V-Y-B） system. For a sufficiently small rand smooth initial data, we show that classical solutions exist globally and satisfy dispersion estimates, uniform L1-stability with respect to initial data and scattering type estimate. We show that the short range nature of interactions due to the Yukawa potential enables us to construct robust Lyapunov type functional to derive scattering states. In the zero mass limit of force carrier particles, we also show that the classical solutions to the V-Y-B system converge to that of the Vlasov-Poisson-Boltzmann （V-P-B） system in any finite time interval |
| doi_str_mv | 10.1016/S0252-9602(15)30027-8 |
| format | Article |
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For a sufficiently small rand smooth initial data, we show that classical solutions exist globally and satisfy dispersion estimates, uniform L1-stability with respect to initial data and scattering type estimate. We show that the short range nature of interactions due to the Yukawa potential enables us to construct robust Lyapunov type functional to derive scattering states. In the zero mass limit of force carrier particles, we also show that the classical solutions to the V-Y-B system converge to that of the Vlasov-Poisson-Boltzmann （V-P-B） system in any finite time interval</description><identifier>ISSN: 0252-9602</identifier><identifier>EISSN: 1572-9087</identifier><identifier>DOI: 10.1016/S0252-9602(15)30027-8</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>74A25 ; 76N10 ; 92D25 ; asymptotic completeness ; Boltzmann ; collision operator ; L1估计 ; Lyapunov泛函 ; the Vlasov-Yukawa-Boltzmann system ; uniform L1-stability ; Yukawa势 ; 动力学 ; 整体存在 ; 真空 ; 系统</subject><ispartof>Acta mathematica scientia, 2015-07, Vol.35 (4), p.887-905</ispartof><rights>2015 Wuhan Institute of Physics and Mathematics</rights><rights>Copyright © Wanfang Data Co. Ltd. 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In the zero mass limit of force carrier particles, we also show that the classical solutions to the V-Y-B system converge to that of the Vlasov-Poisson-Boltzmann （V-P-B） system in any finite time interval</description><subject>74A25</subject><subject>76N10</subject><subject>92D25</subject><subject>asymptotic completeness</subject><subject>Boltzmann</subject><subject>collision operator</subject><subject>L1估计</subject><subject>Lyapunov泛函</subject><subject>the Vlasov-Yukawa-Boltzmann system</subject><subject>uniform L1-stability</subject><subject>Yukawa势</subject><subject>动力学</subject><subject>整体存在</subject><subject>真空</subject><subject>系统</subject><issn>0252-9602</issn><issn>1572-9087</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNqFUNtOg0AQ3RhNrNVPMCE-2Qd0d2G4PJkVqW3kYgRq8GUDdKk0FRSqrX_v9qKvJpOZZOacOTMHoXOCrwgmxnWEKVDVNjC9JDDQMKamah2gHgFTtrFlHqLeH-QYnXTdHEseNfQe8sJAiUeuwqLUf4zDeOwod2nA_LETKeFwO5p4LAonapo8sGem3oZe_OKzIFCiNIpdXwlc9qRMmJMk_ik6KrNFJ872tY-SoRs7I9UL78cO89RCI9ZSnZo5BQMgNwywKQGgUOSCCFOYBGsmCAOXmcyZVeqlDVYpm5joeZFZIIida3002O1dZXWZ1TM-bz7bWirybr1arHMuKCaAdYxtiYUdtmibrmtFyd_b6i1rvznBfGMf39rHN95wAnxrH7ck72bHE_KRr0q0vCsqURdiWrWiWPJpU_274WKv_NrUs49K3vkrLR8HqsnQfgAYsHqR</recordid><startdate>20150701</startdate><enddate>20150701</enddate><creator>CHOI, Sun-Ho</creator><creator>HA, Seung-Yeal</creator><general>Elsevier Ltd</general><general>Department of Mathematical Sciences,KAIST,Daejeon 305-701,South Korea%Department of Mathematical Sciences and Research Institute of Mathematics Seoul National University,Seoul 151-747,South Korea</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20150701</creationdate><title>ON THE ASYMPTOTIC DYNAMICS OF THE VLASOV-YUKAWA-BOLTZMANN SYSTEM NEAR VACUUM</title><author>CHOI, Sun-Ho ; HA, Seung-Yeal</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c318t-d7b25655b6659215525cbe1e7e710375e60fa5e6a8f4f958f037014bca85e19b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>74A25</topic><topic>76N10</topic><topic>92D25</topic><topic>asymptotic completeness</topic><topic>Boltzmann</topic><topic>collision operator</topic><topic>L1估计</topic><topic>Lyapunov泛函</topic><topic>the Vlasov-Yukawa-Boltzmann system</topic><topic>uniform L1-stability</topic><topic>Yukawa势</topic><topic>动力学</topic><topic>整体存在</topic><topic>真空</topic><topic>系统</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>CHOI, Sun-Ho</creatorcontrib><creatorcontrib>HA, Seung-Yeal</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Acta mathematica scientia</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>CHOI, Sun-Ho</au><au>HA, Seung-Yeal</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>ON THE ASYMPTOTIC DYNAMICS OF THE VLASOV-YUKAWA-BOLTZMANN SYSTEM NEAR VACUUM</atitle><jtitle>Acta mathematica scientia</jtitle><addtitle>Acta Mathematica Scientia</addtitle><date>2015-07-01</date><risdate>2015</risdate><volume>35</volume><issue>4</issue><spage>887</spage><epage>905</epage><pages>887-905</pages><issn>0252-9602</issn><eissn>1572-9087</eissn><abstract>In this pape,~ we study uniform L1-stability and asymptotic completeness of the Vlasov-Yukawa-Boltzmann （V-Y-B） system. For a sufficiently small rand smooth initial data, we show that classical solutions exist globally and satisfy dispersion estimates, uniform L1-stability with respect to initial data and scattering type estimate. We show that the short range nature of interactions due to the Yukawa potential enables us to construct robust Lyapunov type functional to derive scattering states. In the zero mass limit of force carrier particles, we also show that the classical solutions to the V-Y-B system converge to that of the Vlasov-Poisson-Boltzmann （V-P-B） system in any finite time interval</abstract><pub>Elsevier Ltd</pub><doi>10.1016/S0252-9602(15)30027-8</doi><tpages>19</tpages></addata></record> |
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| ispartof | Acta mathematica scientia, 2015-07, Vol.35 (4), p.887-905 |
| issn | 0252-9602 1572-9087 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present); Alma/SFX Local Collection |
| subjects | 74A25 76N10 92D25 asymptotic completeness Boltzmann collision operator L1估计 Lyapunov泛函 the Vlasov-Yukawa-Boltzmann system uniform L1-stability Yukawa势 动力学 整体存在 真空 系统 |
| title | ON THE ASYMPTOTIC DYNAMICS OF THE VLASOV-YUKAWA-BOLTZMANN SYSTEM NEAR VACUUM |
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