http://www.cnr.it/ontology/cnr/individuo/prodotto/ID8365
On Relaxation Hyperbolic Systems Violating the Shizuta-Kawashima Condition (Articolo in rivista)
- Type
- Label
- On Relaxation Hyperbolic Systems Violating the Shizuta-Kawashima Condition (Articolo in rivista) (literal)
- Anno
- 2010-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1007/s00205-009-0225-x (literal)
- Alternative label
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Mascia C.; Natalini R. (literal)
- Pagina inizio
- Pagina fine
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
- Rivista
- Note
- Scopu (literal)
- ISI Web of Science (WOS) (literal)
- Mathematical Reviews on the web (MathSciNet) (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo
CNR, Ist Applicaz Calcolo M Picone (literal)
- Titolo
- On Relaxation Hyperbolic Systems Violating the Shizuta-Kawashima Condition (literal)
- Abstract
- In this paper, we start a general study on relaxation hyperbolic systems which
violate the Shizuta-Kawashima ([SK]) coupling condition. This investigation is
motivated by the fact that this condition is not satisfied by various physical sys-
tems, and almost all the time in several space dimensions. First, we explore the role
of entropy functionals around equilibrium solutions, which may not be constant,
proposing a stability condition for such solutions. Then we find strictly dissipa-
tive entropy functions for one dimensional 2 × 2 systems which violate the [SK]
condition. Finally, we prove the existence of global smooth solutions for a class of
systems such that condition [SK] does not hold, but which are linearly degenerated
in the non-dissipative directions. (literal)
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