dc.contributor.author | Chen, G. -Q | en |
dc.contributor.author | Christoforou, Cleopatra | en |
dc.creator | Chen, G. -Q | en |
dc.creator | Christoforou, Cleopatra | en |
dc.date.accessioned | 2019-12-02T10:34:21Z | |
dc.date.available | 2019-12-02T10:34:21Z | |
dc.date.issued | 2007 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56613 | |
dc.description.abstract | Global entropy solutions in BV for a scalar nonlocal conservation law with fading memory are constructed as the limits of vanishing viscosity approximate solutions. The uniqueness and stability of entropy solutions in BV are established, which also yield the existence of entropy solutions in L ∞ while the initial data is only in L∞. Moreover, if the memory kernel depends on a relaxation parameter ε > 0 and tends to a delta measure weakly as measures when ε → 0+, then the global entropy solution sequence in BV converges to an admissible solution in BV for the corresponding local conservation law. © 2007 American Mathematical Society. | en |
dc.source | Proceedings of the American Mathematical Society | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-70349772797&doi=10.1090%2fS0002-9939-07-08942-3&partnerID=40&md5=9a147f123828336608999881dbdd138f | |
dc.subject | Stability | en |
dc.subject | Entropy solutions | en |
dc.subject | Existence | en |
dc.subject | Fading memory | en |
dc.subject | Nonlocal conservation law | en |
dc.subject | Uniqueness | en |
dc.subject | Vanishing viscosity | en |
dc.title | Solutions for a nonlocal conservation law with fading memory | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1090/S0002-9939-07-08942-3 | |
dc.description.volume | 135 | |
dc.description.issue | 12 | |
dc.description.startingpage | 3905 | |
dc.description.endingpage | 3915 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :7</p> | en |
dc.source.abbreviation | Proc.Am.Math.Soc. | en |
dc.contributor.orcid | Christoforou, Cleopatra [0000-0003-4467-3322] | |
dc.gnosis.orcid | 0000-0003-4467-3322 | |