Matches in SemOpenAlex for { <https://semopenalex.org/work/W3142054863> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W3142054863 abstract "At the end of the sixties, it was shown that pressure waves in a bubbly liquid obey the KdV equation, the nonlinear term coming from convective acceleration and the dispersive term from volume oscillations of the bubbles. For a variable u, proportional to -p , where p denotes pressure, the appropriate KdV equation can be casted in the form ut 6uu~ + u ~ = 0. The theory of this equation predicts that, under certain conditions, solitons evolve from an initial profile u(x, 0). In particular, it can be shown that the number N of those solitons can be found from solving the eigenvalue problem ~b~ u(x, 0)r : 0, with ~b(0) = 1 and r = 0. N is found from counting the zeros of the solution of this equation between x = 0 and x = Q, say, Q being determined by the shape of u(x, 0). We took as an initial pressure profile a shockwave, followed by an expansion wave. This can be realised in the laboratory and the problem, formulated above, can be solved exactly. In this contribution the solution is outlined and it is shown from the experimental results that from the said initial disturbance, indeed solitons evolve in the predicated quantity. Mathematics Subject Classification (1991): 58F07." @default.
- W3142054863 created "2021-04-13" @default.
- W3142054863 creator A5008335733 @default.
- W3142054863 date "2004-01-01" @default.
- W3142054863 modified "2023-09-27" @default.
- W3142054863 title "Evolving Solitons in Bubbly Flows" @default.
- W3142054863 cites W1976268002 @default.
- W3142054863 cites W1986788497 @default.
- W3142054863 cites W2039343706 @default.
- W3142054863 cites W2100586882 @default.
- W3142054863 cites W2118633257 @default.
- W3142054863 cites W2158399212 @default.
- W3142054863 cites W2161194605 @default.
- W3142054863 cites W2798803086 @default.
- W3142054863 cites W2976472113 @default.
- W3142054863 cites W2994685737 @default.
- W3142054863 hasPublicationYear "2004" @default.
- W3142054863 type Work @default.
- W3142054863 sameAs 3142054863 @default.
- W3142054863 citedByCount "0" @default.
- W3142054863 crossrefType "journal-article" @default.
- W3142054863 hasAuthorship W3142054863A5008335733 @default.
- W3142054863 hasConcept C121332964 @default.
- W3142054863 hasConcept C134306372 @default.
- W3142054863 hasConcept C146630112 @default.
- W3142054863 hasConcept C158622935 @default.
- W3142054863 hasConcept C158693339 @default.
- W3142054863 hasConcept C33923547 @default.
- W3142054863 hasConcept C37914503 @default.
- W3142054863 hasConcept C61797465 @default.
- W3142054863 hasConcept C62520636 @default.
- W3142054863 hasConcept C74650414 @default.
- W3142054863 hasConcept C87651913 @default.
- W3142054863 hasConceptScore W3142054863C121332964 @default.
- W3142054863 hasConceptScore W3142054863C134306372 @default.
- W3142054863 hasConceptScore W3142054863C146630112 @default.
- W3142054863 hasConceptScore W3142054863C158622935 @default.
- W3142054863 hasConceptScore W3142054863C158693339 @default.
- W3142054863 hasConceptScore W3142054863C33923547 @default.
- W3142054863 hasConceptScore W3142054863C37914503 @default.
- W3142054863 hasConceptScore W3142054863C61797465 @default.
- W3142054863 hasConceptScore W3142054863C62520636 @default.
- W3142054863 hasConceptScore W3142054863C74650414 @default.
- W3142054863 hasConceptScore W3142054863C87651913 @default.
- W3142054863 hasLocation W31420548631 @default.
- W3142054863 hasOpenAccess W3142054863 @default.
- W3142054863 hasPrimaryLocation W31420548631 @default.
- W3142054863 hasRelatedWork W1519545385 @default.
- W3142054863 hasRelatedWork W2000963511 @default.
- W3142054863 hasRelatedWork W2020963444 @default.
- W3142054863 hasRelatedWork W2035953919 @default.
- W3142054863 hasRelatedWork W2039872729 @default.
- W3142054863 hasRelatedWork W2042219448 @default.
- W3142054863 hasRelatedWork W2046969806 @default.
- W3142054863 hasRelatedWork W2055948780 @default.
- W3142054863 hasRelatedWork W2067144480 @default.
- W3142054863 hasRelatedWork W2080120212 @default.
- W3142054863 hasRelatedWork W2081405988 @default.
- W3142054863 hasRelatedWork W2131351160 @default.
- W3142054863 hasRelatedWork W2280662704 @default.
- W3142054863 hasRelatedWork W2463769533 @default.
- W3142054863 hasRelatedWork W2480144062 @default.
- W3142054863 hasRelatedWork W2523594895 @default.
- W3142054863 hasRelatedWork W2792025760 @default.
- W3142054863 hasRelatedWork W2963743380 @default.
- W3142054863 hasRelatedWork W2998297110 @default.
- W3142054863 hasRelatedWork W3008479125 @default.
- W3142054863 isParatext "false" @default.
- W3142054863 isRetracted "false" @default.
- W3142054863 magId "3142054863" @default.
- W3142054863 workType "article" @default.