Matches in SemOpenAlex for { <https://semopenalex.org/work/W2050875286> ?p ?o ?g. }
- W2050875286 endingPage "57" @default.
- W2050875286 startingPage "43" @default.
- W2050875286 abstract "Abstract In this paper we study the spatial behaviour of solutions of some problems for the dual‐phase‐lag heat equation on a semi‐infinite cylinder. The theory of dual‐phase‐lag heat conduction leads to a hyperbolic partial differential equation with a third derivative with respect to time. First, we investigate the spatial evolution of solutions of an initial boundary‐value problem with zero boundary conditions on the lateral surface of the cylinder. Under a boundedness restriction on the initial data, an energy estimate is obtained. An upper bound for the amplitude term in this estimate in terms of the initial and boundary data is also established. For the case of zero initial conditions, a more explicit estimate is obtained which shows that solutions decay exponentially along certain spatial‐time lines. A class of non‐standard problems is also considered for which the temperature and its first two time derivatives at a fixed time T are assumed proportional to their initial values. Copyright © 2004 John Wiley & Sons, Ltd." @default.
- W2050875286 created "2016-06-24" @default.
- W2050875286 creator A5001699360 @default.
- W2050875286 creator A5064100089 @default.
- W2050875286 date "2004-07-23" @default.
- W2050875286 modified "2023-10-17" @default.
- W2050875286 title "Spatial behaviour of solutions of the dual-phase-lag heat equation" @default.
- W2050875286 cites W112219953 @default.
- W2050875286 cites W114438074 @default.
- W2050875286 cites W1978796508 @default.
- W2050875286 cites W1981801230 @default.
- W2050875286 cites W1987600669 @default.
- W2050875286 cites W2002192450 @default.
- W2050875286 cites W2005125632 @default.
- W2050875286 cites W2016460322 @default.
- W2050875286 cites W2023393232 @default.
- W2050875286 cites W203330715 @default.
- W2050875286 cites W2038940027 @default.
- W2050875286 cites W2060226574 @default.
- W2050875286 cites W2075128410 @default.
- W2050875286 cites W2093953650 @default.
- W2050875286 cites W4236463190 @default.
- W2050875286 cites W4242252976 @default.
- W2050875286 cites W4300825577 @default.
- W2050875286 doi "https://doi.org/10.1002/mma.548" @default.
- W2050875286 hasPublicationYear "2004" @default.
- W2050875286 type Work @default.
- W2050875286 sameAs 2050875286 @default.
- W2050875286 citedByCount "62" @default.
- W2050875286 countsByYear W20508752862012 @default.
- W2050875286 countsByYear W20508752862013 @default.
- W2050875286 countsByYear W20508752862014 @default.
- W2050875286 countsByYear W20508752862015 @default.
- W2050875286 countsByYear W20508752862016 @default.
- W2050875286 countsByYear W20508752862017 @default.
- W2050875286 countsByYear W20508752862018 @default.
- W2050875286 countsByYear W20508752862019 @default.
- W2050875286 countsByYear W20508752862021 @default.
- W2050875286 countsByYear W20508752862022 @default.
- W2050875286 crossrefType "journal-article" @default.
- W2050875286 hasAuthorship W2050875286A5001699360 @default.
- W2050875286 hasAuthorship W2050875286A5064100089 @default.
- W2050875286 hasConcept C111615704 @default.
- W2050875286 hasConcept C121332964 @default.
- W2050875286 hasConcept C134306372 @default.
- W2050875286 hasConcept C172100665 @default.
- W2050875286 hasConcept C17685861 @default.
- W2050875286 hasConcept C182310444 @default.
- W2050875286 hasConcept C186867907 @default.
- W2050875286 hasConcept C202787564 @default.
- W2050875286 hasConcept C203311528 @default.
- W2050875286 hasConcept C2524010 @default.
- W2050875286 hasConcept C26955809 @default.
- W2050875286 hasConcept C2983665814 @default.
- W2050875286 hasConcept C31258907 @default.
- W2050875286 hasConcept C33923547 @default.
- W2050875286 hasConcept C41008148 @default.
- W2050875286 hasConcept C44280652 @default.
- W2050875286 hasConcept C62354387 @default.
- W2050875286 hasConcept C62520636 @default.
- W2050875286 hasConcept C75778745 @default.
- W2050875286 hasConcept C78045399 @default.
- W2050875286 hasConcept C93779851 @default.
- W2050875286 hasConcept C97355855 @default.
- W2050875286 hasConceptScore W2050875286C111615704 @default.
- W2050875286 hasConceptScore W2050875286C121332964 @default.
- W2050875286 hasConceptScore W2050875286C134306372 @default.
- W2050875286 hasConceptScore W2050875286C172100665 @default.
- W2050875286 hasConceptScore W2050875286C17685861 @default.
- W2050875286 hasConceptScore W2050875286C182310444 @default.
- W2050875286 hasConceptScore W2050875286C186867907 @default.
- W2050875286 hasConceptScore W2050875286C202787564 @default.
- W2050875286 hasConceptScore W2050875286C203311528 @default.
- W2050875286 hasConceptScore W2050875286C2524010 @default.
- W2050875286 hasConceptScore W2050875286C26955809 @default.
- W2050875286 hasConceptScore W2050875286C2983665814 @default.
- W2050875286 hasConceptScore W2050875286C31258907 @default.
- W2050875286 hasConceptScore W2050875286C33923547 @default.
- W2050875286 hasConceptScore W2050875286C41008148 @default.
- W2050875286 hasConceptScore W2050875286C44280652 @default.
- W2050875286 hasConceptScore W2050875286C62354387 @default.
- W2050875286 hasConceptScore W2050875286C62520636 @default.
- W2050875286 hasConceptScore W2050875286C75778745 @default.
- W2050875286 hasConceptScore W2050875286C78045399 @default.
- W2050875286 hasConceptScore W2050875286C93779851 @default.
- W2050875286 hasConceptScore W2050875286C97355855 @default.
- W2050875286 hasIssue "1" @default.
- W2050875286 hasLocation W20508752861 @default.
- W2050875286 hasOpenAccess W2050875286 @default.
- W2050875286 hasPrimaryLocation W20508752861 @default.
- W2050875286 hasRelatedWork W2066764747 @default.
- W2050875286 hasRelatedWork W2123186262 @default.
- W2050875286 hasRelatedWork W2319021628 @default.
- W2050875286 hasRelatedWork W2536124417 @default.
- W2050875286 hasRelatedWork W2667878676 @default.
- W2050875286 hasRelatedWork W2969693569 @default.
- W2050875286 hasRelatedWork W3131706438 @default.
- W2050875286 hasRelatedWork W39293662 @default.