Matches in SemOpenAlex for { <https://semopenalex.org/work/W2951043900> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W2951043900 abstract "We study the stabilizing effect of rotational forcing in the nonlinear setting of two-dimensional shallow-water and more general models of compressible Euler equations. In [H. Liu and E. Tadmor, Phys. D 188 (2004), no. 3-4, 262-276] we have shown that the pressureless version of these equations admit global smooth solution for a large set of sub-critical initial configurations. In the present work we prove that when rotational force dominates the pressure, it emph{prolongs} the life-span of smooth solutions for t < ln(1/d); here d << 1 is the ratio of the pressure gradient measured by the inverse squared Froude number, relative to the dominant rotational forces measured by the inverse Rossby number. Our study reveals a ``nearby'' periodic-in-time approximate solution in the small d-regime, upon which hinges the long time existence of the exact smooth solution. These results are in agreement with the close-to periodic dynamics observed in the ``near inertial oscillation'' (NIO) regime which follows oceanic storms. Indeed, our results indicate the existence of smooth, ``approximate periodic'' solution for a time period of emph{days}, which is the relevant time period found in NIO obesrvations." @default.
- W2951043900 created "2019-06-27" @default.
- W2951043900 creator A5065067681 @default.
- W2951043900 creator A5072355478 @default.
- W2951043900 date "2007-06-06" @default.
- W2951043900 modified "2023-09-27" @default.
- W2951043900 title "Long time existence of smooth solutions for the rapidly rotating shallow-water and Euler equations" @default.
- W2951043900 cites W1534652061 @default.
- W2951043900 cites W1968437626 @default.
- W2951043900 cites W1970246853 @default.
- W2951043900 cites W1984735519 @default.
- W2951043900 cites W1993779304 @default.
- W2951043900 cites W2005135197 @default.
- W2951043900 cites W2112287406 @default.
- W2951043900 cites W2613631096 @default.
- W2951043900 hasPublicationYear "2007" @default.
- W2951043900 type Work @default.
- W2951043900 sameAs 2951043900 @default.
- W2951043900 citedByCount "0" @default.
- W2951043900 crossrefType "posted-content" @default.
- W2951043900 hasAuthorship W2951043900A5065067681 @default.
- W2951043900 hasAuthorship W2951043900A5072355478 @default.
- W2951043900 hasConcept C121332964 @default.
- W2951043900 hasConcept C134306372 @default.
- W2951043900 hasConcept C196558001 @default.
- W2951043900 hasConcept C206835866 @default.
- W2951043900 hasConcept C207467116 @default.
- W2951043900 hasConcept C2524010 @default.
- W2951043900 hasConcept C2778439541 @default.
- W2951043900 hasConcept C33923547 @default.
- W2951043900 hasConcept C37914503 @default.
- W2951043900 hasConcept C38349280 @default.
- W2951043900 hasConcept C38409319 @default.
- W2951043900 hasConcept C42652486 @default.
- W2951043900 hasConcept C54355233 @default.
- W2951043900 hasConcept C57879066 @default.
- W2951043900 hasConcept C74650414 @default.
- W2951043900 hasConcept C84655787 @default.
- W2951043900 hasConcept C86803240 @default.
- W2951043900 hasConceptScore W2951043900C121332964 @default.
- W2951043900 hasConceptScore W2951043900C134306372 @default.
- W2951043900 hasConceptScore W2951043900C196558001 @default.
- W2951043900 hasConceptScore W2951043900C206835866 @default.
- W2951043900 hasConceptScore W2951043900C207467116 @default.
- W2951043900 hasConceptScore W2951043900C2524010 @default.
- W2951043900 hasConceptScore W2951043900C2778439541 @default.
- W2951043900 hasConceptScore W2951043900C33923547 @default.
- W2951043900 hasConceptScore W2951043900C37914503 @default.
- W2951043900 hasConceptScore W2951043900C38349280 @default.
- W2951043900 hasConceptScore W2951043900C38409319 @default.
- W2951043900 hasConceptScore W2951043900C42652486 @default.
- W2951043900 hasConceptScore W2951043900C54355233 @default.
- W2951043900 hasConceptScore W2951043900C57879066 @default.
- W2951043900 hasConceptScore W2951043900C74650414 @default.
- W2951043900 hasConceptScore W2951043900C84655787 @default.
- W2951043900 hasConceptScore W2951043900C86803240 @default.
- W2951043900 hasLocation W29510439001 @default.
- W2951043900 hasOpenAccess W2951043900 @default.
- W2951043900 hasPrimaryLocation W29510439001 @default.
- W2951043900 hasRelatedWork W1789771450 @default.
- W2951043900 hasRelatedWork W1963997290 @default.
- W2951043900 hasRelatedWork W1976750260 @default.
- W2951043900 hasRelatedWork W1991897395 @default.
- W2951043900 hasRelatedWork W2021292459 @default.
- W2951043900 hasRelatedWork W2042971229 @default.
- W2951043900 hasRelatedWork W2060233986 @default.
- W2951043900 hasRelatedWork W2143507904 @default.
- W2951043900 hasRelatedWork W2152882498 @default.
- W2951043900 hasRelatedWork W2162854080 @default.
- W2951043900 hasRelatedWork W2325413104 @default.
- W2951043900 hasRelatedWork W2582623375 @default.
- W2951043900 hasRelatedWork W2766338182 @default.
- W2951043900 hasRelatedWork W2801022560 @default.
- W2951043900 hasRelatedWork W2952807280 @default.
- W2951043900 hasRelatedWork W2963248858 @default.
- W2951043900 hasRelatedWork W3013283321 @default.
- W2951043900 hasRelatedWork W3033446696 @default.
- W2951043900 hasRelatedWork W3152912574 @default.
- W2951043900 hasRelatedWork W2303330412 @default.
- W2951043900 isParatext "false" @default.
- W2951043900 isRetracted "false" @default.
- W2951043900 magId "2951043900" @default.
- W2951043900 workType "article" @default.