Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963477971> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W2963477971 endingPage "4762" @default.
- W2963477971 startingPage "4745" @default.
- W2963477971 abstract "In this paper the non-linear wave equation with a spatial inhomogeneity is considered. The inhomogeneity splits the unbounded spatial domain into three or more intervals, on each of which the non-linear wave equation is homogeneous. In such setting, there often exist multiple stationary fronts. In this paper we present a necessary and sufficient stability criterion in terms of the length of the middle interval(s) and the energy associated with the front in these interval(s). To prove this criterion, it is shown that critical points of the length function and zeros of the linearisation have the same order. Furthermore, the Evans function is used to identify the stable branch. The criterion is illustrated with an example which shows the existence of bi-stability: two stable fronts, one of which is non-monotonic. The Evans function also gives a sufficient instability criterion in terms of the derivative of the length function." @default.
- W2963477971 created "2019-07-30" @default.
- W2963477971 creator A5016743303 @default.
- W2963477971 creator A5044689651 @default.
- W2963477971 date "2015-11-01" @default.
- W2963477971 modified "2023-09-24" @default.
- W2963477971 title "A stability criterion for the non-linear wave equation with spatial inhomogeneity" @default.
- W2963477971 cites W1487057719 @default.
- W2963477971 cites W1533288419 @default.
- W2963477971 cites W1984819558 @default.
- W2963477971 cites W1986788497 @default.
- W2963477971 cites W2006365463 @default.
- W2963477971 cites W2032298604 @default.
- W2963477971 cites W2032805951 @default.
- W2963477971 cites W2035801676 @default.
- W2963477971 cites W2062710542 @default.
- W2963477971 cites W2065187577 @default.
- W2963477971 cites W2107550157 @default.
- W2963477971 cites W2132254796 @default.
- W2963477971 cites W3147437828 @default.
- W2963477971 doi "https://doi.org/10.1016/j.jde.2015.06.011" @default.
- W2963477971 hasPublicationYear "2015" @default.
- W2963477971 type Work @default.
- W2963477971 sameAs 2963477971 @default.
- W2963477971 citedByCount "2" @default.
- W2963477971 countsByYear W29634779712016 @default.
- W2963477971 countsByYear W29634779712018 @default.
- W2963477971 crossrefType "journal-article" @default.
- W2963477971 hasAuthorship W2963477971A5016743303 @default.
- W2963477971 hasAuthorship W2963477971A5044689651 @default.
- W2963477971 hasBestOaLocation W29634779712 @default.
- W2963477971 hasConcept C105795698 @default.
- W2963477971 hasConcept C112972136 @default.
- W2963477971 hasConcept C114614502 @default.
- W2963477971 hasConcept C119857082 @default.
- W2963477971 hasConcept C121332964 @default.
- W2963477971 hasConcept C134306372 @default.
- W2963477971 hasConcept C14036430 @default.
- W2963477971 hasConcept C158622935 @default.
- W2963477971 hasConcept C167964875 @default.
- W2963477971 hasConcept C207821765 @default.
- W2963477971 hasConcept C2778067643 @default.
- W2963477971 hasConcept C2778925954 @default.
- W2963477971 hasConcept C28826006 @default.
- W2963477971 hasConcept C33923547 @default.
- W2963477971 hasConcept C36503486 @default.
- W2963477971 hasConcept C41008148 @default.
- W2963477971 hasConcept C55689738 @default.
- W2963477971 hasConcept C57879066 @default.
- W2963477971 hasConcept C62520636 @default.
- W2963477971 hasConcept C65521940 @default.
- W2963477971 hasConcept C72169020 @default.
- W2963477971 hasConcept C78458016 @default.
- W2963477971 hasConcept C86803240 @default.
- W2963477971 hasConceptScore W2963477971C105795698 @default.
- W2963477971 hasConceptScore W2963477971C112972136 @default.
- W2963477971 hasConceptScore W2963477971C114614502 @default.
- W2963477971 hasConceptScore W2963477971C119857082 @default.
- W2963477971 hasConceptScore W2963477971C121332964 @default.
- W2963477971 hasConceptScore W2963477971C134306372 @default.
- W2963477971 hasConceptScore W2963477971C14036430 @default.
- W2963477971 hasConceptScore W2963477971C158622935 @default.
- W2963477971 hasConceptScore W2963477971C167964875 @default.
- W2963477971 hasConceptScore W2963477971C207821765 @default.
- W2963477971 hasConceptScore W2963477971C2778067643 @default.
- W2963477971 hasConceptScore W2963477971C2778925954 @default.
- W2963477971 hasConceptScore W2963477971C28826006 @default.
- W2963477971 hasConceptScore W2963477971C33923547 @default.
- W2963477971 hasConceptScore W2963477971C36503486 @default.
- W2963477971 hasConceptScore W2963477971C41008148 @default.
- W2963477971 hasConceptScore W2963477971C55689738 @default.
- W2963477971 hasConceptScore W2963477971C57879066 @default.
- W2963477971 hasConceptScore W2963477971C62520636 @default.
- W2963477971 hasConceptScore W2963477971C65521940 @default.
- W2963477971 hasConceptScore W2963477971C72169020 @default.
- W2963477971 hasConceptScore W2963477971C78458016 @default.
- W2963477971 hasConceptScore W2963477971C86803240 @default.
- W2963477971 hasFunder F4320334627 @default.
- W2963477971 hasIssue "9" @default.
- W2963477971 hasLocation W29634779711 @default.
- W2963477971 hasLocation W29634779712 @default.
- W2963477971 hasOpenAccess W2963477971 @default.
- W2963477971 hasPrimaryLocation W29634779711 @default.
- W2963477971 hasRelatedWork W1996862231 @default.
- W2963477971 hasRelatedWork W2073366665 @default.
- W2963477971 hasRelatedWork W2093319456 @default.
- W2963477971 hasRelatedWork W2133800503 @default.
- W2963477971 hasRelatedWork W2153764327 @default.
- W2963477971 hasRelatedWork W2168660975 @default.
- W2963477971 hasRelatedWork W2360812960 @default.
- W2963477971 hasRelatedWork W2372696011 @default.
- W2963477971 hasRelatedWork W3127244438 @default.
- W2963477971 hasRelatedWork W4313595236 @default.
- W2963477971 hasVolume "259" @default.
- W2963477971 isParatext "false" @default.
- W2963477971 isRetracted "false" @default.
- W2963477971 magId "2963477971" @default.
- W2963477971 workType "article" @default.