Rate of convergence for vanishing viscosity approximations to hyperbolic balance laws
dc.contributor.author | Christoforou, Cleopatra | en |
dc.contributor.author | Trivisa, K. | en |
dc.creator | Christoforou, Cleopatra | en |
dc.creator | Trivisa, K. | en |
dc.date.accessioned | 2019-12-02T10:34:32Z | |
dc.date.available | 2019-12-02T10:34:32Z | |
dc.date.issued | 2011 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56663 | |
dc.description.abstract | The rate of convergence for vanishing viscosity approximations to hyperbolic balance laws is established. The result applies to systems that are strictly hyperbolic and genuinely nonlinear with a source term satisfying a special mechanism that induces dissipation. The proof relies on error estimates that measure the interaction of waves. Shock waves are treated by monitoring the evolution of suitable Lyapunov functionals, whereas interactions involving rarefaction waves are accommodated by employing a sharp decay estimate. © 2011 Society for Industrial and Applied Mathematics. | en |
dc.source | SIAM Journal on Mathematical Analysis | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-81255144540&doi=10.1137%2f100817164&partnerID=40&md5=1d210bf74223e20d2e715f59ac4a91e5 | |
dc.subject | Estimation | en |
dc.subject | Approximation theory | en |
dc.subject | Rate of convergence | en |
dc.subject | Viscosity | en |
dc.subject | Flow fields | en |
dc.subject | Non-Linearity | en |
dc.subject | Vanishing viscosity | en |
dc.subject | Balance law | en |
dc.subject | BV estimates | en |
dc.subject | Dissipative mechanisms | en |
dc.subject | Elastohydrodynamics | en |
dc.subject | Genuine nonlinearity | en |
dc.subject | Hyperbolic balance laws | en |
dc.subject | Semi-group | en |
dc.subject | Semigroup | en |
dc.subject | Source term | en |
dc.subject | Source terms | en |
dc.subject | Vanishing viscosity approximations | en |
dc.title | Rate of convergence for vanishing viscosity approximations to hyperbolic balance laws | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1137/100817164 | |
dc.description.volume | 43 | |
dc.description.issue | 5 | |
dc.description.startingpage | 2307 | |
dc.description.endingpage | 2336 | |
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 :5</p> | en |
dc.source.abbreviation | SIAM J.Math.Anal. | en |
dc.contributor.orcid | Christoforou, Cleopatra [0000-0003-4467-3322] | |
dc.gnosis.orcid | 0000-0003-4467-3322 |
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