Matches in SemOpenAlex for { <https://semopenalex.org/work/W2785221459> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2785221459 endingPage "98" @default.
- W2785221459 startingPage "61" @default.
- W2785221459 abstract "The Green–Naghdi type model in the Camassa–Holm regime derived in [Comm. Pure Appl. Anal. 14(6) (2015) 2203–2230], describe the propagation of medium amplitude internal waves over medium amplitude topography variations. It is fully justified in the sense that it is well-posed, consistent with the f ull Euler system and converges to the latter with corresponding initial data. In this paper, we generalize this result by constructing a fully justified coupled asymptotic model in a more complex physical case of variable topography. More precisely, we are interested in specific bottoms wavelength of characteristic order λb=λ/α where λ is a characteristic horizontal length (wave-length of the interface). We assume a slowly varying topography with large amplitude (βα=O(μ), where β characterizes the shape of the bottom). In addition, our system permits the full justification of any lower order, well-posed and consistent model. We apply the procedure to scalar models driven by simple unidirectional equations in the Camassa–Holm and long wave regimes and under some restrictions on the topography variations. We also show that wave breaking of solutions to such equations occurs in the Camassa–Holm regime with slow topography variations and for a specific set of parameters." @default.
- W2785221459 created "2018-02-02" @default.
- W2785221459 creator A5026939422 @default.
- W2785221459 creator A5032604898 @default.
- W2785221459 date "2018-01-22" @default.
- W2785221459 modified "2023-09-25" @default.
- W2785221459 title "Coupled and scalar asymptotic models for internal waves over variable topography" @default.
- W2785221459 cites W1572756661 @default.
- W2785221459 cites W1632757846 @default.
- W2785221459 cites W1967330445 @default.
- W2785221459 cites W2001111996 @default.
- W2785221459 cites W2003405066 @default.
- W2785221459 cites W2005380085 @default.
- W2785221459 cites W2014093511 @default.
- W2785221459 cites W2051459660 @default.
- W2785221459 cites W2052497704 @default.
- W2785221459 cites W2058721785 @default.
- W2785221459 cites W2059531539 @default.
- W2785221459 cites W2076058513 @default.
- W2785221459 cites W2079706362 @default.
- W2785221459 cites W2090885565 @default.
- W2785221459 cites W2096483912 @default.
- W2785221459 cites W2099392098 @default.
- W2785221459 cites W2123974695 @default.
- W2785221459 cites W2127121684 @default.
- W2785221459 cites W2127230707 @default.
- W2785221459 cites W2137598555 @default.
- W2785221459 cites W2151017545 @default.
- W2785221459 cites W2951984665 @default.
- W2785221459 cites W2953335139 @default.
- W2785221459 cites W2963918816 @default.
- W2785221459 cites W3101527492 @default.
- W2785221459 cites W4232597446 @default.
- W2785221459 cites W4236358907 @default.
- W2785221459 cites W4247017183 @default.
- W2785221459 cites W4255940269 @default.
- W2785221459 cites W653770113 @default.
- W2785221459 doi "https://doi.org/10.3233/asy-171440" @default.
- W2785221459 hasPublicationYear "2018" @default.
- W2785221459 type Work @default.
- W2785221459 sameAs 2785221459 @default.
- W2785221459 citedByCount "0" @default.
- W2785221459 crossrefType "journal-article" @default.
- W2785221459 hasAuthorship W2785221459A5026939422 @default.
- W2785221459 hasAuthorship W2785221459A5032604898 @default.
- W2785221459 hasConcept C110521144 @default.
- W2785221459 hasConcept C120665830 @default.
- W2785221459 hasConcept C121332964 @default.
- W2785221459 hasConcept C134306372 @default.
- W2785221459 hasConcept C146864707 @default.
- W2785221459 hasConcept C171555571 @default.
- W2785221459 hasConcept C180205008 @default.
- W2785221459 hasConcept C182365436 @default.
- W2785221459 hasConcept C2524010 @default.
- W2785221459 hasConcept C33923547 @default.
- W2785221459 hasConcept C38409319 @default.
- W2785221459 hasConcept C57691317 @default.
- W2785221459 hasConcept C57879066 @default.
- W2785221459 hasConcept C6260449 @default.
- W2785221459 hasConcept C62884695 @default.
- W2785221459 hasConcept C74650414 @default.
- W2785221459 hasConceptScore W2785221459C110521144 @default.
- W2785221459 hasConceptScore W2785221459C120665830 @default.
- W2785221459 hasConceptScore W2785221459C121332964 @default.
- W2785221459 hasConceptScore W2785221459C134306372 @default.
- W2785221459 hasConceptScore W2785221459C146864707 @default.
- W2785221459 hasConceptScore W2785221459C171555571 @default.
- W2785221459 hasConceptScore W2785221459C180205008 @default.
- W2785221459 hasConceptScore W2785221459C182365436 @default.
- W2785221459 hasConceptScore W2785221459C2524010 @default.
- W2785221459 hasConceptScore W2785221459C33923547 @default.
- W2785221459 hasConceptScore W2785221459C38409319 @default.
- W2785221459 hasConceptScore W2785221459C57691317 @default.
- W2785221459 hasConceptScore W2785221459C57879066 @default.
- W2785221459 hasConceptScore W2785221459C6260449 @default.
- W2785221459 hasConceptScore W2785221459C62884695 @default.
- W2785221459 hasConceptScore W2785221459C74650414 @default.
- W2785221459 hasIssue "2" @default.
- W2785221459 hasLocation W27852214591 @default.
- W2785221459 hasOpenAccess W2785221459 @default.
- W2785221459 hasPrimaryLocation W27852214591 @default.
- W2785221459 hasRelatedWork W138184070 @default.
- W2785221459 hasRelatedWork W1607428720 @default.
- W2785221459 hasRelatedWork W1982974112 @default.
- W2785221459 hasRelatedWork W2019502934 @default.
- W2785221459 hasRelatedWork W2058808960 @default.
- W2785221459 hasRelatedWork W2069838288 @default.
- W2785221459 hasRelatedWork W2075896743 @default.
- W2785221459 hasRelatedWork W2094648943 @default.
- W2785221459 hasRelatedWork W2364245582 @default.
- W2785221459 hasRelatedWork W3175432462 @default.
- W2785221459 hasVolume "106" @default.
- W2785221459 isParatext "false" @default.
- W2785221459 isRetracted "false" @default.
- W2785221459 magId "2785221459" @default.
- W2785221459 workType "article" @default.