FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3123286090> ?p ?o ?g. }

• W3123286090 endingPage "364" @default.
• W3123286090 startingPage "313" @default.
• W3123286090 abstract "This study considers the evolution of weakly nonlinear long Rossby waves in a horizontally sheared zonal current. We consider a stable flow so that the nonlinear time scale is long. These assumptions enable the flow to organize itself into a large‐scale coherent structure in the régime where a competition sets in between weak nonlinearity and weak dispersion. This balance is often described by a Korteweg‐de‐Vries equation. The traditional assumption of a weak amplitude breaks down when the wave speed equals the mean flow velocity at a certain latitude, due to the appearance of a singularity in the leading‐order equation, which strongly modifies the flow in a critical layer. Here, nonlinear effects are invoked to resolve this singularity, because the relevant geophysical flows have high Reynolds numbers. Viscosity is introduced in order to render the nonlinear‐critical‐layer solution unique, but the inviscid limit is eventually taken. By the method of matched asymptotic expansions, this inner flow is matched at the edges of the critical layer with the outer flow. We will show that the critical‐layer–induced flow leads to a strong rearrangement of the related streamlines and consequently of the potential‐vorticity contours, particularly in the neighborhood of the separatrices between the open and closed streamlines. The symmetry of the critical layer vis‐à‐vis the critical level is also broken. This theory is relevant for the phenomenon of Rossby wave breaking and eventual saturation into a nonlinear wave. Spatially localized solutions are described by a Korteweg‐de‐Vries equation, modified by new nonlinear terms; depending on the critical‐layer shape, this leads to depression or elevation waves. The additional terms are made necessary at a certain order of the asymptotic expansion while matching the inner flow on the dividing streamlines. The new evolution equation supports a family of solitary waves. In this paper we describe in detail the case of a depression wave, and postpone for further discussion the more complex case of an elevation wave." @default.
• W3123286090 created "2021-02-01" @default.
• W3123286090 creator A5004015906 @default.
• W3123286090 creator A5067003420 @default.
• W3123286090 date "2007-04-06" @default.
• W3123286090 modified "2023-10-13" @default.
• W3123286090 title "Rossby Solitary Waves in the Presence of a Critical Layer" @default.
• W3123286090 cites W1621224861 @default.
• W3123286090 cites W1970885220 @default.
• W3123286090 cites W1972737125 @default.
• W3123286090 cites W1979878372 @default.
• W3123286090 cites W1981142867 @default.
• W3123286090 cites W1991423256 @default.
• W3123286090 cites W1992131987 @default.
• W3123286090 cites W1997158493 @default.
• W3123286090 cites W2001900877 @default.
• W3123286090 cites W2002717829 @default.
• W3123286090 cites W2006204099 @default.
• W3123286090 cites W2018384628 @default.
• W3123286090 cites W2024496541 @default.
• W3123286090 cites W2034151784 @default.
• W3123286090 cites W2046053509 @default.
• W3123286090 cites W2072463166 @default.
• W3123286090 cites W2074848257 @default.
• W3123286090 cites W2076895559 @default.
• W3123286090 cites W2081615969 @default.
• W3123286090 cites W2083583087 @default.
• W3123286090 cites W2094530987 @default.
• W3123286090 cites W2102450089 @default.
• W3123286090 cites W2113093136 @default.
• W3123286090 cites W2115600080 @default.
• W3123286090 cites W2155361386 @default.
• W3123286090 cites W2163608263 @default.
• W3123286090 cites W2171215875 @default.
• W3123286090 cites W22232138 @default.
• W3123286090 cites W2498816914 @default.
• W3123286090 cites W4210552241 @default.
• W3123286090 doi "https://doi.org/10.1111/j.1467-9590.2007.00368.x" @default.
• W3123286090 hasPublicationYear "2007" @default.
• W3123286090 type Work @default.
• W3123286090 sameAs 3123286090 @default.
• W3123286090 citedByCount "18" @default.
• W3123286090 countsByYear W31232860902012 @default.
• W3123286090 countsByYear W31232860902013 @default.
• W3123286090 countsByYear W31232860902014 @default.
• W3123286090 countsByYear W31232860902015 @default.
• W3123286090 countsByYear W31232860902017 @default.
• W3123286090 countsByYear W31232860902019 @default.
• W3123286090 countsByYear W31232860902020 @default.
• W3123286090 countsByYear W31232860902021 @default.
• W3123286090 crossrefType "journal-article" @default.
• W3123286090 hasAuthorship W3123286090A5004015906 @default.
• W3123286090 hasAuthorship W3123286090A5067003420 @default.
• W3123286090 hasBestOaLocation W31232860902 @default.
• W3123286090 hasConcept C121332964 @default.
• W3123286090 hasConcept C134306372 @default.
• W3123286090 hasConcept C140820882 @default.
• W3123286090 hasConcept C145151356 @default.
• W3123286090 hasConcept C157331469 @default.
• W3123286090 hasConcept C158622935 @default.
• W3123286090 hasConcept C16171025 @default.
• W3123286090 hasConcept C182748727 @default.
• W3123286090 hasConcept C196558001 @default.
• W3123286090 hasConcept C200114574 @default.
• W3123286090 hasConcept C205904022 @default.
• W3123286090 hasConcept C33923547 @default.
• W3123286090 hasConcept C38349280 @default.
• W3123286090 hasConcept C42652486 @default.
• W3123286090 hasConcept C57879066 @default.
• W3123286090 hasConcept C60439489 @default.
• W3123286090 hasConcept C62520636 @default.
• W3123286090 hasConcept C74650414 @default.
• W3123286090 hasConcept C86252789 @default.
• W3123286090 hasConcept C91586092 @default.
• W3123286090 hasConceptScore W3123286090C121332964 @default.
• W3123286090 hasConceptScore W3123286090C134306372 @default.
• W3123286090 hasConceptScore W3123286090C140820882 @default.
• W3123286090 hasConceptScore W3123286090C145151356 @default.
• W3123286090 hasConceptScore W3123286090C157331469 @default.
• W3123286090 hasConceptScore W3123286090C158622935 @default.
• W3123286090 hasConceptScore W3123286090C16171025 @default.
• W3123286090 hasConceptScore W3123286090C182748727 @default.
• W3123286090 hasConceptScore W3123286090C196558001 @default.
• W3123286090 hasConceptScore W3123286090C200114574 @default.
• W3123286090 hasConceptScore W3123286090C205904022 @default.
• W3123286090 hasConceptScore W3123286090C33923547 @default.
• W3123286090 hasConceptScore W3123286090C38349280 @default.
• W3123286090 hasConceptScore W3123286090C42652486 @default.
• W3123286090 hasConceptScore W3123286090C57879066 @default.
• W3123286090 hasConceptScore W3123286090C60439489 @default.
• W3123286090 hasConceptScore W3123286090C62520636 @default.
• W3123286090 hasConceptScore W3123286090C74650414 @default.
• W3123286090 hasConceptScore W3123286090C86252789 @default.
• W3123286090 hasConceptScore W3123286090C91586092 @default.
• W3123286090 hasIssue "4" @default.
• W3123286090 hasLocation W31232860901 @default.
• W3123286090 hasLocation W31232860902 @default.
• W3123286090 hasLocation W31232860903 @default.

• next