Entropy production estimates for the polyatomic ellipsoidal BGK model
We study the entropy production estimate for the polyatomic ellipsoidal BGK model, which is a relaxation type kinetic model describing the time evolution of polyatomic particle systems. An interesting dichotomy is observed between 0
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| Veröffentlicht in: | Applied mathematics letters 2016-08, Vol.58, p.26-33 |
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| container_title | Applied mathematics letters |
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| creator | Park, Sa Jun Yun, Seok-Bae |
| description | We study the entropy production estimate for the polyatomic ellipsoidal BGK model, which is a relaxation type kinetic model describing the time evolution of polyatomic particle systems. An interesting dichotomy is observed between 0 |
| doi_str_mv | 10.1016/j.aml.2016.01.021 |
| format | Article |
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An interesting dichotomy is observed between 0<θ≤1 and θ=0: In each case, distinct target Maxwellians should be chosen to estimate the entropy production functional from below by the relative entropy. The time asymptotic equilibrium state toward which the distribution function stabilizes bifurcates accordingly.</description><identifier>ISSN: 0893-9659</identifier><identifier>EISSN: 1873-5452</identifier><identifier>DOI: 10.1016/j.aml.2016.01.021</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Asymptotic properties ; BGK model ; Boltzmann equation ; Dichotomies ; Distribution functions ; Ellipsoidal BGK model ; Entropy ; Entropy production estimates ; Estimates ; Evolution ; Kinetic theory of gases ; Mathematical models ; Polyatomic gases</subject><ispartof>Applied mathematics letters, 2016-08, Vol.58, p.26-33</ispartof><rights>2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c330t-5b3920af52e56b2855d8c1c21a1eac50ce57eae8d0d67fdfbd4133f85d5796033</citedby><cites>FETCH-LOGICAL-c330t-5b3920af52e56b2855d8c1c21a1eac50ce57eae8d0d67fdfbd4133f85d5796033</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S089396591630043X$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Park, Sa Jun</creatorcontrib><creatorcontrib>Yun, Seok-Bae</creatorcontrib><title>Entropy production estimates for the polyatomic ellipsoidal BGK model</title><title>Applied mathematics letters</title><description>We study the entropy production estimate for the polyatomic ellipsoidal BGK model, which is a relaxation type kinetic model describing the time evolution of polyatomic particle systems. An interesting dichotomy is observed between 0<θ≤1 and θ=0: In each case, distinct target Maxwellians should be chosen to estimate the entropy production functional from below by the relative entropy. The time asymptotic equilibrium state toward which the distribution function stabilizes bifurcates accordingly.</description><subject>Asymptotic properties</subject><subject>BGK model</subject><subject>Boltzmann equation</subject><subject>Dichotomies</subject><subject>Distribution functions</subject><subject>Ellipsoidal BGK model</subject><subject>Entropy</subject><subject>Entropy production estimates</subject><subject>Estimates</subject><subject>Evolution</subject><subject>Kinetic theory of gases</subject><subject>Mathematical models</subject><subject>Polyatomic gases</subject><issn>0893-9659</issn><issn>1873-5452</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp9kDFPwzAUhC0EEqXwA9g8siQ8x3XiiAmqUhCVWGC2XPtFuEriYLtI_fe4KjPTe8Pd6e4j5JZByYDV97tSD31Z5bcEVkLFzsiMyYYXYiGqczID2fKirUV7Sa5i3AEAb7mckdVqTMFPBzoFb_cmOT9SjMkNOmGknQ80fSGdfH_QyQ_OUOx7N0XvrO7p0_qNDt5if00uOt1HvPm7c_L5vPpYvhSb9_Xr8nFTGM4hFWLL2wp0JyoU9baSQlhpmKmYZqiNAIOiQY3Sgq2bznZbu2Ccd1JY0bQ1cD4nd6fc3PZ7n3uqwUWTK-kR_T4qJlkNTMJCZik7SU3wMQbs1BTyqnBQDNQRmdqpjEwdkSlgKiPLnoeTB_OGH4dBReNwNGhdQJOU9e4f9y-X4nRu</recordid><startdate>201608</startdate><enddate>201608</enddate><creator>Park, Sa Jun</creator><creator>Yun, Seok-Bae</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201608</creationdate><title>Entropy production estimates for the polyatomic ellipsoidal BGK model</title><author>Park, Sa Jun ; Yun, Seok-Bae</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c330t-5b3920af52e56b2855d8c1c21a1eac50ce57eae8d0d67fdfbd4133f85d5796033</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Asymptotic properties</topic><topic>BGK model</topic><topic>Boltzmann equation</topic><topic>Dichotomies</topic><topic>Distribution functions</topic><topic>Ellipsoidal BGK model</topic><topic>Entropy</topic><topic>Entropy production estimates</topic><topic>Estimates</topic><topic>Evolution</topic><topic>Kinetic theory of gases</topic><topic>Mathematical models</topic><topic>Polyatomic gases</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Park, Sa Jun</creatorcontrib><creatorcontrib>Yun, Seok-Bae</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Applied mathematics letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Park, Sa Jun</au><au>Yun, Seok-Bae</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Entropy production estimates for the polyatomic ellipsoidal BGK model</atitle><jtitle>Applied mathematics letters</jtitle><date>2016-08</date><risdate>2016</risdate><volume>58</volume><spage>26</spage><epage>33</epage><pages>26-33</pages><issn>0893-9659</issn><eissn>1873-5452</eissn><abstract>We study the entropy production estimate for the polyatomic ellipsoidal BGK model, which is a relaxation type kinetic model describing the time evolution of polyatomic particle systems. An interesting dichotomy is observed between 0<θ≤1 and θ=0: In each case, distinct target Maxwellians should be chosen to estimate the entropy production functional from below by the relative entropy. The time asymptotic equilibrium state toward which the distribution function stabilizes bifurcates accordingly.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.aml.2016.01.021</doi><tpages>8</tpages></addata></record> |
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| ispartof | Applied mathematics letters, 2016-08, Vol.58, p.26-33 |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Asymptotic properties BGK model Boltzmann equation Dichotomies Distribution functions Ellipsoidal BGK model Entropy Entropy production estimates Estimates Evolution Kinetic theory of gases Mathematical models Polyatomic gases |
| title | Entropy production estimates for the polyatomic ellipsoidal BGK model |
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