FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950208846> ?p ?o ?g. }

• W2950208846 abstract "Extending our earlier work on Lax-type shocks of systems of conservation laws, we establish existence and stability of curved multidimensional shock fronts in the vanishing viscosity limit for general Lax- or undercompressive-type shock waves of nonconservative hyperbolic systems with parabolic regularization. The hyperbolic equations may be of variable multiplicity and the parabolic regularization may be of ``real'', or partially parabolic, type. We prove an existence result for inviscid nonconservative shocks that extends to multidimensional shocks a one-dimensional result of X. Lin proved by quite different methods. In addition, we construct families of smooth viscous shocks converging to a given inviscid shock as viscosity goes to zero, thereby justifying the small viscosity limit for multidimensional nonconservative shocks. In our previous work on shocks we made use of conservative form especially in parts of the low frequency analysis. Thus, most of the new analysis of this paper is concentrated in this area. By adopting the more general nonconservative viewpoint, we are able to shed new light on both the viscous and inviscid theory. For example, we can now provide a clearer geometric motivation for the low frequency analysis in the viscous case. Also, we show that one may, in the treatment of inviscid stability of nonclassical and/or nonconservative shocks, remove an apparently restrictive technical assumption made by Mokrane and Coulombel in their work on, respectively, shock-type nonconservative boundary problems and conservative undercompressive shocks. Another advantage of the nonconservative perspective is that Lax and undercompressive shocks can be treated by exactly the same analysis." @default.
• W2950208846 created "2019-06-27" @default.
• W2950208846 creator A5038805423 @default.
• W2950208846 creator A5048769826 @default.
• W2950208846 creator A5049926189 @default.
• W2950208846 creator A5071723301 @default.
• W2950208846 date "2006-07-03" @default.
• W2950208846 modified "2023-09-23" @default.
• W2950208846 title "Nonclassical multidimensional viscous and inviscid shocks" @default.
• W2950208846 cites W1410968332 @default.
• W2950208846 cites W1490657362 @default.
• W2950208846 cites W1619188164 @default.
• W2950208846 cites W1628316893 @default.
• W2950208846 cites W1725932398 @default.
• W2950208846 cites W1968958624 @default.
• W2950208846 cites W1974020483 @default.
• W2950208846 cites W1977517488 @default.
• W2950208846 cites W1981198157 @default.
• W2950208846 cites W1981957642 @default.
• W2950208846 cites W1982036178 @default.
• W2950208846 cites W1982995858 @default.
• W2950208846 cites W1989565448 @default.
• W2950208846 cites W1995037534 @default.
• W2950208846 cites W2004993859 @default.
• W2950208846 cites W2017896536 @default.
• W2950208846 cites W2018546573 @default.
• W2950208846 cites W2020828244 @default.
• W2950208846 cites W2021700593 @default.
• W2950208846 cites W2046913942 @default.
• W2950208846 cites W2048393584 @default.
• W2950208846 cites W2051466114 @default.
• W2950208846 cites W2055929218 @default.
• W2950208846 cites W2060684813 @default.
• W2950208846 cites W2062928511 @default.
• W2950208846 cites W2063404419 @default.
• W2950208846 cites W2068752593 @default.
• W2950208846 cites W2087867100 @default.
• W2950208846 cites W2094762597 @default.
• W2950208846 cites W2118653974 @default.
• W2950208846 cites W2127395668 @default.
• W2950208846 cites W21305231 @default.
• W2950208846 cites W2132846702 @default.
• W2950208846 cites W2319532303 @default.
• W2950208846 cites W2497455253 @default.
• W2950208846 cites W3194207591 @default.
• W2950208846 cites W85287489 @default.
• W2950208846 cites W2144547721 @default.
• W2950208846 hasPublicationYear "2006" @default.
• W2950208846 type Work @default.
• W2950208846 sameAs 2950208846 @default.
• W2950208846 citedByCount "1" @default.
• W2950208846 crossrefType "posted-content" @default.
• W2950208846 hasAuthorship W2950208846A5038805423 @default.
• W2950208846 hasAuthorship W2950208846A5048769826 @default.
• W2950208846 hasAuthorship W2950208846A5049926189 @default.
• W2950208846 hasAuthorship W2950208846A5071723301 @default.
• W2950208846 hasConcept C121332964 @default.
• W2950208846 hasConcept C126322002 @default.
• W2950208846 hasConcept C134306372 @default.
• W2950208846 hasConcept C154945302 @default.
• W2950208846 hasConcept C182310444 @default.
• W2950208846 hasConcept C2776135515 @default.
• W2950208846 hasConcept C2781300812 @default.
• W2950208846 hasConcept C33923547 @default.
• W2950208846 hasConcept C3445786 @default.
• W2950208846 hasConcept C41008148 @default.
• W2950208846 hasConcept C57879066 @default.
• W2950208846 hasConcept C71924100 @default.
• W2950208846 hasConcept C74650414 @default.
• W2950208846 hasConcept C86252789 @default.
• W2950208846 hasConceptScore W2950208846C121332964 @default.
• W2950208846 hasConceptScore W2950208846C126322002 @default.
• W2950208846 hasConceptScore W2950208846C134306372 @default.
• W2950208846 hasConceptScore W2950208846C154945302 @default.
• W2950208846 hasConceptScore W2950208846C182310444 @default.
• W2950208846 hasConceptScore W2950208846C2776135515 @default.
• W2950208846 hasConceptScore W2950208846C2781300812 @default.
• W2950208846 hasConceptScore W2950208846C33923547 @default.
• W2950208846 hasConceptScore W2950208846C3445786 @default.
• W2950208846 hasConceptScore W2950208846C41008148 @default.
• W2950208846 hasConceptScore W2950208846C57879066 @default.
• W2950208846 hasConceptScore W2950208846C71924100 @default.
• W2950208846 hasConceptScore W2950208846C74650414 @default.
• W2950208846 hasConceptScore W2950208846C86252789 @default.
• W2950208846 hasOpenAccess W2950208846 @default.
• W2950208846 hasRelatedWork W1482423240 @default.
• W2950208846 hasRelatedWork W1619188164 @default.
• W2950208846 hasRelatedWork W1675036590 @default.
• W2950208846 hasRelatedWork W1978512303 @default.
• W2950208846 hasRelatedWork W2013238203 @default.
• W2950208846 hasRelatedWork W2027261742 @default.
• W2950208846 hasRelatedWork W2029881566 @default.
• W2950208846 hasRelatedWork W2075375865 @default.
• W2950208846 hasRelatedWork W2139813584 @default.
• W2950208846 hasRelatedWork W2389551767 @default.
• W2950208846 hasRelatedWork W26476513 @default.
• W2950208846 hasRelatedWork W2906137448 @default.
• W2950208846 hasRelatedWork W2951735844 @default.
• W2950208846 hasRelatedWork W2963828749 @default.
• W2950208846 hasRelatedWork W2969374801 @default.

• next