Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation (Articolo in rivista)

Type

• Prodotto della ricerca (Classe)
• Articolo in rivista (Classe)

Label

• Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation (Articolo in rivista) (literal)

Anno

• 2009-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.1016/j.jde.2008.05.015 (literal)

Alternative label

• Carbou G.; Hanouzet B.; Natalini R. (2009)
  Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation
  in Journal of differential equations (Print)
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Carbou G.; Hanouzet B.; Natalini R. (literal)

Pagina inizio

• 291 (literal)

Pagina fine

• 319 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 246 (literal)

Rivista

• Journal of differential equations (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

• 1 (literal)

Note

• Mathematical Reviews on the web (MathSciNet) (literal)
• Scopu (literal)
• ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• Univ Bordeaux I (France) CNR (literal)

Titolo

• Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation (literal)

Abstract

• We investigate totally linearly degenerate hyperbolic systems with relaxation. We aim to study their semilinear behavior, which means that the local smooth solutions cannot develop shocks, and the global existence is controlled by the supremum bound of the solution. In this paper we study two specific examples: the Suliciu-type and the Kerr-Debye-type models. For the Suliciu model, which arises from the numerical approximation of isentropic flows, the semilinear behavior is obtained using pointwise estimates of the gradient. For the Kerr-Debye systems, which arise in nonlinear optics, we show the semilinear behavior via energy methods. For the original Kerr-Debye model, thanks to the special form of the interaction terms, we can show the global existence of smooth solutions. (literal)

Prodotto di

• Modelli matematici per la mobilità sostenibile (INT.P05.001.005) (Modulo)
• Istituto per le applicazioni del calcolo \"Mauro Picone\" (IAC) (Istituto)

Autore CNR

• ROBERTO NATALINI (Persona)

Insieme di parole chiave

• Parole chiave di "Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation" (Insieme di parole chiave)

Incoming links:

Prodotto

• Istituto per le applicazioni del calcolo \"Mauro Picone\" (IAC) (Istituto)
• Modelli matematici per la mobilità sostenibile (INT.P05.001.005) (Modulo)

Autore CNR di

• ROBERTO NATALINI (Persona)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Journal of differential equations (Rivista)

Insieme di parole chiave di

• Parole chiave di "Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation" (Insieme di parole chiave)