Matches in SemOpenAlex for { <https://semopenalex.org/work/W2011404911> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2011404911 endingPage "1098" @default.
- W2011404911 startingPage "1075" @default.
- W2011404911 abstract "The purpose of this paper is to investigate the wave behavior of hyperbolic conservation laws with a moving source. When the speed of the source is close to one of the characteristic speeds of the system, nonlinear resonance occurs and instability may result. We will study solutions with a single transonic shock wave for a general system ut + f(u)x = g(x, u). Suppose that the ith characteristic speed is close to zero. We propose the following stability criteria: Here li and ri are the ith normalized left and right eigenvectors of , respectively. Through the local analysis on the evolution of the speed and strength of the transonic shock wave, the above criterion can be justified. It turns out that the speed of the transonic shock wave is monotone increasing (decreasing) most of the time in the unstable (stable) case. This is shown by introducing a global functional on nonlinear wave interactions, based on the Glimm scheme. In particular, together with the local analysis, we can study the shock speed globally. Such a global approach is absent in the previous works. Using this strategy, we prove the existence of solutions and verify the asymptotic stability (or instability). © 1999 John Wiley & Sons, Inc." @default.
- W2011404911 created "2016-06-24" @default.
- W2011404911 creator A5008101217 @default.
- W2011404911 date "1999-09-01" @default.
- W2011404911 modified "2023-09-25" @default.
- W2011404911 title "Hyperbolic conservation laws with a moving source" @default.
- W2011404911 cites W1972212432 @default.
- W2011404911 cites W1974932669 @default.
- W2011404911 cites W1986668190 @default.
- W2011404911 cites W1993160983 @default.
- W2011404911 cites W1995156763 @default.
- W2011404911 cites W1997714823 @default.
- W2011404911 cites W2006608560 @default.
- W2011404911 cites W2011669849 @default.
- W2011404911 cites W2017239911 @default.
- W2011404911 cites W2021990966 @default.
- W2011404911 cites W2026388260 @default.
- W2011404911 cites W2038991247 @default.
- W2011404911 cites W2042918886 @default.
- W2011404911 cites W2080049628 @default.
- W2011404911 doi "https://doi.org/10.1002/(sici)1097-0312(199909)52:9<1075::aid-cpa2>3.0.co;2-4" @default.
- W2011404911 hasPublicationYear "1999" @default.
- W2011404911 type Work @default.
- W2011404911 sameAs 2011404911 @default.
- W2011404911 citedByCount "18" @default.
- W2011404911 countsByYear W20114049112012 @default.
- W2011404911 countsByYear W20114049112013 @default.
- W2011404911 countsByYear W20114049112014 @default.
- W2011404911 countsByYear W20114049112015 @default.
- W2011404911 countsByYear W20114049112016 @default.
- W2011404911 countsByYear W20114049112022 @default.
- W2011404911 crossrefType "journal-article" @default.
- W2011404911 hasAuthorship W2011404911A5008101217 @default.
- W2011404911 hasConcept C103838597 @default.
- W2011404911 hasConcept C112972136 @default.
- W2011404911 hasConcept C119857082 @default.
- W2011404911 hasConcept C121332964 @default.
- W2011404911 hasConcept C126322002 @default.
- W2011404911 hasConcept C13393347 @default.
- W2011404911 hasConcept C134306372 @default.
- W2011404911 hasConcept C158622935 @default.
- W2011404911 hasConcept C158693339 @default.
- W2011404911 hasConcept C17744445 @default.
- W2011404911 hasConcept C199539241 @default.
- W2011404911 hasConcept C207821765 @default.
- W2011404911 hasConcept C2524010 @default.
- W2011404911 hasConcept C2781300812 @default.
- W2011404911 hasConcept C2834757 @default.
- W2011404911 hasConcept C33923547 @default.
- W2011404911 hasConcept C3445786 @default.
- W2011404911 hasConcept C41008148 @default.
- W2011404911 hasConcept C57879066 @default.
- W2011404911 hasConcept C62520636 @default.
- W2011404911 hasConcept C70477161 @default.
- W2011404911 hasConcept C71924100 @default.
- W2011404911 hasConceptScore W2011404911C103838597 @default.
- W2011404911 hasConceptScore W2011404911C112972136 @default.
- W2011404911 hasConceptScore W2011404911C119857082 @default.
- W2011404911 hasConceptScore W2011404911C121332964 @default.
- W2011404911 hasConceptScore W2011404911C126322002 @default.
- W2011404911 hasConceptScore W2011404911C13393347 @default.
- W2011404911 hasConceptScore W2011404911C134306372 @default.
- W2011404911 hasConceptScore W2011404911C158622935 @default.
- W2011404911 hasConceptScore W2011404911C158693339 @default.
- W2011404911 hasConceptScore W2011404911C17744445 @default.
- W2011404911 hasConceptScore W2011404911C199539241 @default.
- W2011404911 hasConceptScore W2011404911C207821765 @default.
- W2011404911 hasConceptScore W2011404911C2524010 @default.
- W2011404911 hasConceptScore W2011404911C2781300812 @default.
- W2011404911 hasConceptScore W2011404911C2834757 @default.
- W2011404911 hasConceptScore W2011404911C33923547 @default.
- W2011404911 hasConceptScore W2011404911C3445786 @default.
- W2011404911 hasConceptScore W2011404911C41008148 @default.
- W2011404911 hasConceptScore W2011404911C57879066 @default.
- W2011404911 hasConceptScore W2011404911C62520636 @default.
- W2011404911 hasConceptScore W2011404911C70477161 @default.
- W2011404911 hasConceptScore W2011404911C71924100 @default.
- W2011404911 hasIssue "9" @default.
- W2011404911 hasLocation W20114049111 @default.
- W2011404911 hasOpenAccess W2011404911 @default.
- W2011404911 hasPrimaryLocation W20114049111 @default.
- W2011404911 hasRelatedWork W155165559 @default.
- W2011404911 hasRelatedWork W1970973520 @default.
- W2011404911 hasRelatedWork W1998833955 @default.
- W2011404911 hasRelatedWork W2016365331 @default.
- W2011404911 hasRelatedWork W2032245440 @default.
- W2011404911 hasRelatedWork W2037605415 @default.
- W2011404911 hasRelatedWork W2049829875 @default.
- W2011404911 hasRelatedWork W2056629267 @default.
- W2011404911 hasRelatedWork W2132794838 @default.
- W2011404911 hasRelatedWork W1922725817 @default.
- W2011404911 hasVolume "52" @default.
- W2011404911 isParatext "false" @default.
- W2011404911 isRetracted "false" @default.
- W2011404911 magId "2011404911" @default.
- W2011404911 workType "article" @default.