Matches in SemOpenAlex for { <https://semopenalex.org/work/W2000440975> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2000440975 endingPage "665" @default.
- W2000440975 startingPage "629" @default.
- W2000440975 abstract "The study presented in this work shows that the viscous profile entropy criterion is too selective in reducing the number of solutions to guarantee existence of stable weak self-similar Riemann solutions to conservation laws. This result is shown on a particular quadratic model derived from the three-phase flow equations used in petroleum engineering. The viscosity matrix considered in this work derives from capillary pressures. The Riemann initial data are hyperbolic and correspond to a Lax 1-shock that does not admit a viscous profile. The nonexistence of a profile in this example is due to the presence of a limit cycle in the vector field associated with the viscous profile entropy criterion.To establish the main result of this work, a complete list of possibilities that could lead to a solution, is examined. This list includes solutions that consist of only classical waves and the solutions that contain at least one nonclassical (shock) wave. The construction of solutions breaks down because either the shock waves do not satisfy the viscous entropy criterion or the speeds of the waves that comprise a solution are decreasing. To the author's knowledge, this is the first result on nonexistence of stable solutions for models that allow nonclassical (transitional) shock waves.The results presented in this paper are a combination of analytical and numerical work. The theoretical ideas and techniques derive from the bifurcation theory of vector fields and the theory of weak solutions of conservation laws. These are combined with numerical results when no theory is available." @default.
- W2000440975 created "2016-06-24" @default.
- W2000440975 creator A5069167843 @default.
- W2000440975 date "2002-12-01" @default.
- W2000440975 modified "2023-09-27" @default.
- W2000440975 title "Nonexistence of Riemann solutions for a quadratic model deriving from petroleum engineering" @default.
- W2000440975 cites W1584359820 @default.
- W2000440975 cites W1964672341 @default.
- W2000440975 cites W1983501152 @default.
- W2000440975 cites W1983795021 @default.
- W2000440975 cites W1989565448 @default.
- W2000440975 cites W1990650009 @default.
- W2000440975 cites W1995037534 @default.
- W2000440975 cites W2010223289 @default.
- W2000440975 cites W2011669849 @default.
- W2000440975 cites W2017896536 @default.
- W2000440975 cites W2024268858 @default.
- W2000440975 cites W2038442680 @default.
- W2000440975 cites W2076575476 @default.
- W2000440975 cites W2079533258 @default.
- W2000440975 cites W2082676009 @default.
- W2000440975 cites W2091384477 @default.
- W2000440975 cites W2093326764 @default.
- W2000440975 cites W2292642050 @default.
- W2000440975 doi "https://doi.org/10.1016/s1468-1218(02)00002-0" @default.
- W2000440975 hasPublicationYear "2002" @default.
- W2000440975 type Work @default.
- W2000440975 sameAs 2000440975 @default.
- W2000440975 citedByCount "5" @default.
- W2000440975 countsByYear W20004409752022 @default.
- W2000440975 crossrefType "journal-article" @default.
- W2000440975 hasAuthorship W2000440975A5069167843 @default.
- W2000440975 hasConcept C127313418 @default.
- W2000440975 hasConcept C129844170 @default.
- W2000440975 hasConcept C144237770 @default.
- W2000440975 hasConcept C151730666 @default.
- W2000440975 hasConcept C199479865 @default.
- W2000440975 hasConcept C202444582 @default.
- W2000440975 hasConcept C2524010 @default.
- W2000440975 hasConcept C28826006 @default.
- W2000440975 hasConcept C33923547 @default.
- W2000440975 hasConcept C39432304 @default.
- W2000440975 hasConcept C548895740 @default.
- W2000440975 hasConcept C78762247 @default.
- W2000440975 hasConceptScore W2000440975C127313418 @default.
- W2000440975 hasConceptScore W2000440975C129844170 @default.
- W2000440975 hasConceptScore W2000440975C144237770 @default.
- W2000440975 hasConceptScore W2000440975C151730666 @default.
- W2000440975 hasConceptScore W2000440975C199479865 @default.
- W2000440975 hasConceptScore W2000440975C202444582 @default.
- W2000440975 hasConceptScore W2000440975C2524010 @default.
- W2000440975 hasConceptScore W2000440975C28826006 @default.
- W2000440975 hasConceptScore W2000440975C33923547 @default.
- W2000440975 hasConceptScore W2000440975C39432304 @default.
- W2000440975 hasConceptScore W2000440975C548895740 @default.
- W2000440975 hasConceptScore W2000440975C78762247 @default.
- W2000440975 hasIssue "4" @default.
- W2000440975 hasLocation W20004409751 @default.
- W2000440975 hasOpenAccess W2000440975 @default.
- W2000440975 hasPrimaryLocation W20004409751 @default.
- W2000440975 hasRelatedWork W1897792427 @default.
- W2000440975 hasRelatedWork W2014153293 @default.
- W2000440975 hasRelatedWork W2018292391 @default.
- W2000440975 hasRelatedWork W2019904890 @default.
- W2000440975 hasRelatedWork W2057786844 @default.
- W2000440975 hasRelatedWork W2060032448 @default.
- W2000440975 hasRelatedWork W2891175576 @default.
- W2000440975 hasRelatedWork W3021793061 @default.
- W2000440975 hasRelatedWork W4295066108 @default.
- W2000440975 hasRelatedWork W2078733341 @default.
- W2000440975 hasVolume "3" @default.
- W2000440975 isParatext "false" @default.
- W2000440975 isRetracted "false" @default.
- W2000440975 magId "2000440975" @default.
- W2000440975 workType "article" @default.