Nonlocal scalar conservation laws with discontinuous flux
We prove the well-posedness of entropy weak solutions for a class of space-discontinuous scalar conservation laws with nonlocal flux. We approximate the problem adding a viscosity term and we provide $ {{\bf{L}}^\infty} $ and BV estimates for the approximate solutions. We use the doubling of variabl...
Gespeichert in:
| Veröffentlicht in: | Networks and heterogeneous media 2023-01, Vol.18 (1), p.380-398 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 398 |
|---|---|
| container_issue | 1 |
| container_start_page | 380 |
| container_title | Networks and heterogeneous media |
| container_volume | 18 |
| creator | Chiarello, Felisia Angela Coclite, Giuseppe Maria |
| description | We prove the well-posedness of entropy weak solutions for a class of space-discontinuous scalar conservation laws with nonlocal flux. We approximate the problem adding a viscosity term and we provide $ {{\bf{L}}^\infty} $ and BV estimates for the approximate solutions. We use the doubling of variable technique to prove the stability with respect to the initial data from the entropy condition. |
| doi_str_mv | 10.3934/nhm.2023015 |
| format | Article |
| fullrecord | <record><control><sourceid>crossref</sourceid><recordid>TN_cdi_crossref_primary_10_3934_nhm_2023015</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_3934_nhm_2023015</sourcerecordid><originalsourceid>FETCH-LOGICAL-c270t-9344ec96da78138e2e0dfe493d9587e4ec0144294c3c747a80eca5c62360019b3</originalsourceid><addsrcrecordid>eNotj01PAyEURVloYm1d-QfYm6kPHgywNI1fSaObuibIMCmGDgZmrP57x9jNvYuT3NxDyDWDNRoUt8P-sObAEZg8IwsmZdswDeyCXNb6ASBQAS6IeclDyt4lWudwhfo81FC-3BjzQJM7VnqM4552sc5kjMOUp0r7NH2vyHnvUg1Xp16St4f73eap2b4-Pm_uto3nCsZmviKCN23nlGaoAw_Q9UEY7IzUKswMmBDcCI9eCeU0BO-kbzm2AMy845Lc_O_6kmstobefJR5c-bEM7J-pnU3tyRR_AcAzSOE</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Nonlocal scalar conservation laws with discontinuous flux</title><source>Alma/SFX Local Collection</source><creator>Chiarello, Felisia Angela ; Coclite, Giuseppe Maria</creator><creatorcontrib>Chiarello, Felisia Angela ; Coclite, Giuseppe Maria</creatorcontrib><description>We prove the well-posedness of entropy weak solutions for a class of space-discontinuous scalar conservation laws with nonlocal flux. We approximate the problem adding a viscosity term and we provide $ {{\bf{L}}^\infty} $ and BV estimates for the approximate solutions. We use the doubling of variable technique to prove the stability with respect to the initial data from the entropy condition.</description><identifier>ISSN: 1556-1801</identifier><identifier>DOI: 10.3934/nhm.2023015</identifier><language>eng</language><ispartof>Networks and heterogeneous media, 2023-01, Vol.18 (1), p.380-398</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c270t-9344ec96da78138e2e0dfe493d9587e4ec0144294c3c747a80eca5c62360019b3</citedby><cites>FETCH-LOGICAL-c270t-9344ec96da78138e2e0dfe493d9587e4ec0144294c3c747a80eca5c62360019b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Chiarello, Felisia Angela</creatorcontrib><creatorcontrib>Coclite, Giuseppe Maria</creatorcontrib><title>Nonlocal scalar conservation laws with discontinuous flux</title><title>Networks and heterogeneous media</title><description>We prove the well-posedness of entropy weak solutions for a class of space-discontinuous scalar conservation laws with nonlocal flux. We approximate the problem adding a viscosity term and we provide $ {{\bf{L}}^\infty} $ and BV estimates for the approximate solutions. We use the doubling of variable technique to prove the stability with respect to the initial data from the entropy condition.</description><issn>1556-1801</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNotj01PAyEURVloYm1d-QfYm6kPHgywNI1fSaObuibIMCmGDgZmrP57x9jNvYuT3NxDyDWDNRoUt8P-sObAEZg8IwsmZdswDeyCXNb6ASBQAS6IeclDyt4lWudwhfo81FC-3BjzQJM7VnqM4552sc5kjMOUp0r7NH2vyHnvUg1Xp16St4f73eap2b4-Pm_uto3nCsZmviKCN23nlGaoAw_Q9UEY7IzUKswMmBDcCI9eCeU0BO-kbzm2AMy845Lc_O_6kmstobefJR5c-bEM7J-pnU3tyRR_AcAzSOE</recordid><startdate>20230101</startdate><enddate>20230101</enddate><creator>Chiarello, Felisia Angela</creator><creator>Coclite, Giuseppe Maria</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20230101</creationdate><title>Nonlocal scalar conservation laws with discontinuous flux</title><author>Chiarello, Felisia Angela ; Coclite, Giuseppe Maria</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-9344ec96da78138e2e0dfe493d9587e4ec0144294c3c747a80eca5c62360019b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chiarello, Felisia Angela</creatorcontrib><creatorcontrib>Coclite, Giuseppe Maria</creatorcontrib><collection>CrossRef</collection><jtitle>Networks and heterogeneous media</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chiarello, Felisia Angela</au><au>Coclite, Giuseppe Maria</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonlocal scalar conservation laws with discontinuous flux</atitle><jtitle>Networks and heterogeneous media</jtitle><date>2023-01-01</date><risdate>2023</risdate><volume>18</volume><issue>1</issue><spage>380</spage><epage>398</epage><pages>380-398</pages><issn>1556-1801</issn><abstract>We prove the well-posedness of entropy weak solutions for a class of space-discontinuous scalar conservation laws with nonlocal flux. We approximate the problem adding a viscosity term and we provide $ {{\bf{L}}^\infty} $ and BV estimates for the approximate solutions. We use the doubling of variable technique to prove the stability with respect to the initial data from the entropy condition.</abstract><doi>10.3934/nhm.2023015</doi><tpages>19</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1556-1801 |
| ispartof | Networks and heterogeneous media, 2023-01, Vol.18 (1), p.380-398 |
| issn | 1556-1801 |
| language | eng |
| recordid | cdi_crossref_primary_10_3934_nhm_2023015 |
| source | Alma/SFX Local Collection |
| title | Nonlocal scalar conservation laws with discontinuous flux |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T21%3A54%3A27IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Nonlocal%20scalar%20conservation%20laws%20with%20discontinuous%20flux&rft.jtitle=Networks%20and%20heterogeneous%20media&rft.au=Chiarello,%20Felisia%20Angela&rft.date=2023-01-01&rft.volume=18&rft.issue=1&rft.spage=380&rft.epage=398&rft.pages=380-398&rft.issn=1556-1801&rft_id=info:doi/10.3934/nhm.2023015&rft_dat=%3Ccrossref%3E10_3934_nhm_2023015%3C/crossref%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |