A Method of Characteristics for Some Systems of Conservation Laws

We study systems of conservation laws which belong to the Temple class. Some algebraic formulas are derived and used to integrate the Cauchy problem. In particular, the method of characteristics is extended to the case of a system of two coupled equations.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:SIAM journal on mathematical analysis 1998-11, Vol.29 (6), p.1467-1480
Hauptverfasser: Heibig, Arnaud, Sahel, Amina
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 1480
container_issue 6
container_start_page 1467
container_title SIAM journal on mathematical analysis
container_volume 29
creator Heibig, Arnaud
Sahel, Amina
description We study systems of conservation laws which belong to the Temple class. Some algebraic formulas are derived and used to integrate the Cauchy problem. In particular, the method of characteristics is extended to the case of a system of two coupled equations.
doi_str_mv 10.1137/S0036141096310351
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_924153791</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2598295051</sourcerecordid><originalsourceid>FETCH-LOGICAL-c270t-149e87f7c8bba03f118151978201edafc5b01e4b4ab3aa4665fd77dae44a85743</originalsourceid><addsrcrecordid>eNplkE9LxDAUxIMoWFc_gLfgvZrXJE17LIv_oOKheg6vbcJ2sc2aZJX99rauN0_zhvnxBoaQa2C3AFzdNYzxHASwMufAuIQTksxGpgqkOCXJEqdLfk4uQtgyBrkoWUKqir6YuHE9dZauN-ixi8YPIQ5doNZ52rjR0OYQohnDL-OmYPwXxsFNtMbvcEnOLH4Ec_WnK_L-cP-2fkrr18fndVWnXaZYnLtLUyiruqJtkXELUICEUhUZA9Oj7WQ7H6IV2HJEkefS9kr1aITAQirBV-Tm-Hfn3efehKi3bu-nuVKXmQDJVQkzBEeo8y4Eb6ze-WFEf9DA9DKU_jcU_wGZFlmt</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>924153791</pqid></control><display><type>article</type><title>A Method of Characteristics for Some Systems of Conservation Laws</title><source>LOCUS - SIAM's Online Journal Archive</source><creator>Heibig, Arnaud ; Sahel, Amina</creator><creatorcontrib>Heibig, Arnaud ; Sahel, Amina</creatorcontrib><description>We study systems of conservation laws which belong to the Temple class. Some algebraic formulas are derived and used to integrate the Cauchy problem. In particular, the method of characteristics is extended to the case of a system of two coupled equations.</description><identifier>ISSN: 0036-1410</identifier><identifier>EISSN: 1095-7154</identifier><identifier>DOI: 10.1137/S0036141096310351</identifier><language>eng</language><publisher>Philadelphia: Society for Industrial and Applied Mathematics</publisher><subject>Algebra ; Conservation laws ; Eigenvalues ; Eigenvectors</subject><ispartof>SIAM journal on mathematical analysis, 1998-11, Vol.29 (6), p.1467-1480</ispartof><rights>[Copyright] © 1998 Society for Industrial and Applied Mathematics</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c270t-149e87f7c8bba03f118151978201edafc5b01e4b4ab3aa4665fd77dae44a85743</citedby><cites>FETCH-LOGICAL-c270t-149e87f7c8bba03f118151978201edafc5b01e4b4ab3aa4665fd77dae44a85743</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,3172,27901,27902</link.rule.ids></links><search><creatorcontrib>Heibig, Arnaud</creatorcontrib><creatorcontrib>Sahel, Amina</creatorcontrib><title>A Method of Characteristics for Some Systems of Conservation Laws</title><title>SIAM journal on mathematical analysis</title><description>We study systems of conservation laws which belong to the Temple class. Some algebraic formulas are derived and used to integrate the Cauchy problem. In particular, the method of characteristics is extended to the case of a system of two coupled equations.</description><subject>Algebra</subject><subject>Conservation laws</subject><subject>Eigenvalues</subject><subject>Eigenvectors</subject><issn>0036-1410</issn><issn>1095-7154</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1998</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNplkE9LxDAUxIMoWFc_gLfgvZrXJE17LIv_oOKheg6vbcJ2sc2aZJX99rauN0_zhvnxBoaQa2C3AFzdNYzxHASwMufAuIQTksxGpgqkOCXJEqdLfk4uQtgyBrkoWUKqir6YuHE9dZauN-ixi8YPIQ5doNZ52rjR0OYQohnDL-OmYPwXxsFNtMbvcEnOLH4Ec_WnK_L-cP-2fkrr18fndVWnXaZYnLtLUyiruqJtkXELUICEUhUZA9Oj7WQ7H6IV2HJEkefS9kr1aITAQirBV-Tm-Hfn3efehKi3bu-nuVKXmQDJVQkzBEeo8y4Eb6ze-WFEf9DA9DKU_jcU_wGZFlmt</recordid><startdate>19981101</startdate><enddate>19981101</enddate><creator>Heibig, Arnaud</creator><creator>Sahel, Amina</creator><general>Society for Industrial and Applied Mathematics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7RQ</scope><scope>7WY</scope><scope>7WZ</scope><scope>7X2</scope><scope>7XB</scope><scope>87Z</scope><scope>88A</scope><scope>88F</scope><scope>88I</scope><scope>88K</scope><scope>8AL</scope><scope>8FE</scope><scope>8FG</scope><scope>8FH</scope><scope>8FK</scope><scope>8FL</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>FRNLG</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>KB.</scope><scope>L.-</scope><scope>L6V</scope><scope>LK8</scope><scope>M0C</scope><scope>M0K</scope><scope>M0N</scope><scope>M1Q</scope><scope>M2O</scope><scope>M2P</scope><scope>M2T</scope><scope>M7P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PATMY</scope><scope>PDBOC</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>PYCSY</scope><scope>Q9U</scope><scope>U9A</scope></search><sort><creationdate>19981101</creationdate><title>A Method of Characteristics for Some Systems of Conservation Laws</title><author>Heibig, Arnaud ; Sahel, Amina</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-149e87f7c8bba03f118151978201edafc5b01e4b4ab3aa4665fd77dae44a85743</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1998</creationdate><topic>Algebra</topic><topic>Conservation laws</topic><topic>Eigenvalues</topic><topic>Eigenvectors</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Heibig, Arnaud</creatorcontrib><creatorcontrib>Sahel, Amina</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Career &amp; Technical Education Database</collection><collection>ABI/INFORM Collection</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>Agricultural Science Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ABI/INFORM Global (Alumni Edition)</collection><collection>Biology Database (Alumni Edition)</collection><collection>Military Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>Telecommunications (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection (Alumni Edition)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>Agricultural &amp; Environmental Science Collection</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>Business Premium Collection (Alumni)</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Business Collection (Alumni Edition)</collection><collection>ProQuest Business Collection</collection><collection>Computer Science Database</collection><collection>Materials Science Database</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Biological Science Collection</collection><collection>ABI/INFORM Global</collection><collection>Agricultural Science Database</collection><collection>Computing Database</collection><collection>Military Database</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Telecommunications Database</collection><collection>Biological Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Environmental Science Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Business</collection><collection>ProQuest One Business (Alumni)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>Environmental Science Collection</collection><collection>ProQuest Central Basic</collection><jtitle>SIAM journal on mathematical analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Heibig, Arnaud</au><au>Sahel, Amina</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Method of Characteristics for Some Systems of Conservation Laws</atitle><jtitle>SIAM journal on mathematical analysis</jtitle><date>1998-11-01</date><risdate>1998</risdate><volume>29</volume><issue>6</issue><spage>1467</spage><epage>1480</epage><pages>1467-1480</pages><issn>0036-1410</issn><eissn>1095-7154</eissn><abstract>We study systems of conservation laws which belong to the Temple class. Some algebraic formulas are derived and used to integrate the Cauchy problem. In particular, the method of characteristics is extended to the case of a system of two coupled equations.</abstract><cop>Philadelphia</cop><pub>Society for Industrial and Applied Mathematics</pub><doi>10.1137/S0036141096310351</doi><tpages>14</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0036-1410
ispartof SIAM journal on mathematical analysis, 1998-11, Vol.29 (6), p.1467-1480
issn 0036-1410
1095-7154
language eng
recordid cdi_proquest_journals_924153791
source LOCUS - SIAM's Online Journal Archive
subjects Algebra
Conservation laws
Eigenvalues
Eigenvectors
title A Method of Characteristics for Some Systems of Conservation Laws
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-02T21%3A35%3A30IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20Method%20of%20Characteristics%20for%20Some%20Systems%20of%20Conservation%20Laws&rft.jtitle=SIAM%20journal%20on%20mathematical%20analysis&rft.au=Heibig,%20Arnaud&rft.date=1998-11-01&rft.volume=29&rft.issue=6&rft.spage=1467&rft.epage=1480&rft.pages=1467-1480&rft.issn=0036-1410&rft.eissn=1095-7154&rft_id=info:doi/10.1137/S0036141096310351&rft_dat=%3Cproquest_cross%3E2598295051%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=924153791&rft_id=info:pmid/&rfr_iscdi=true