FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3137965562> ?p ?o ?g. }

• W3137965562 abstract "For the classical problem of the rotation of a solid, we show a somehow surprising behavior involving large transient growth of perturbation energy that occurs when the moment of inertia associated to the unstable axis approaches the moment of inertia of one of the two stable axes. In that case, small but finite perturbations around this stable axis may induce a total transfer of energy to the unstable axis, leading to relaxation oscillations where the stable and unstable manifolds of the unstable axis play the role of a separatrix, an edge state. For a fluid in solid-body rotation, a similar linear and nonlinear dynamics apply to the transfer of energy between three inertial waves respecting the triadic resonance condition. We show that the existence of large transient energy growth and of relaxation oscillations may be physically interpreted as in the case of a solid by the existence of two quadratic invariants, the energy and the helicity in the case of a rotating fluid. They occur when two waves of the triad have helicities that tend towards each other, when their amplitudes are set such that they have the same energy. We show that this happens when the third wave has a vanishing frequency which corresponds to a nearly horizontal wave vector. An inertial wave, perturbed by a small-amplitude wave with a nearly horizontal wave vector, will then be periodically destroyed, its energy being transferred entirely to the unstable wave, although this perturbation is linearly stable, resulting in relaxation oscillations of wave amplitudes. In the general case we show that the dynamics described for particular triads of inertial waves is valid for a class of triadic interactions of waves in other physical problems, where the physical energy is conserved and is linked to the classical conservation of the so-called pseudomomentum, which singles out the role of waves with vanishing frequency." @default.
• W3137965562 created "2021-03-29" @default.
• W3137965562 creator A5041348879 @default.
• W3137965562 creator A5084101758 @default.
• W3137965562 creator A5086996111 @default.
• W3137965562 date "2021-03-11" @default.
• W3137965562 modified "2023-10-09" @default.
• W3137965562 title "Transient growth, edge states, and repeller in rotating solid and fluid" @default.
• W3137965562 cites W1971414810 @default.
• W3137965562 cites W1974741277 @default.
• W3137965562 cites W1992209585 @default.
• W3137965562 cites W2022973412 @default.
• W3137965562 cites W2043166143 @default.
• W3137965562 cites W2051158972 @default.
• W3137965562 cites W2065507914 @default.
• W3137965562 cites W2068836576 @default.
• W3137965562 cites W2069565864 @default.
• W3137965562 cites W2087381207 @default.
• W3137965562 cites W2089689445 @default.
• W3137965562 cites W2103013438 @default.
• W3137965562 cites W2111783528 @default.
• W3137965562 cites W2119699767 @default.
• W3137965562 cites W2127111709 @default.
• W3137965562 cites W2130212329 @default.
• W3137965562 cites W2146692226 @default.
• W3137965562 cites W2468133962 @default.
• W3137965562 cites W4237351959 @default.
• W3137965562 cites W4255494406 @default.
• W3137965562 doi "https://doi.org/10.1103/physreve.103.033102" @default.
• W3137965562 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/33862732" @default.
• W3137965562 hasPublicationYear "2021" @default.
• W3137965562 type Work @default.
• W3137965562 sameAs 3137965562 @default.
• W3137965562 citedByCount "3" @default.
• W3137965562 countsByYear W31379655622022 @default.
• W3137965562 countsByYear W31379655622023 @default.
• W3137965562 crossrefType "journal-article" @default.
• W3137965562 hasAuthorship W3137965562A5041348879 @default.
• W3137965562 hasAuthorship W3137965562A5084101758 @default.
• W3137965562 hasAuthorship W3137965562A5086996111 @default.
• W3137965562 hasBestOaLocation W31379655622 @default.
• W3137965562 hasConcept C10238366 @default.
• W3137965562 hasConcept C110407247 @default.
• W3137965562 hasConcept C121332964 @default.
• W3137965562 hasConcept C143351421 @default.
• W3137965562 hasConcept C173386949 @default.
• W3137965562 hasConcept C177918212 @default.
• W3137965562 hasConcept C180205008 @default.
• W3137965562 hasConcept C2524010 @default.
• W3137965562 hasConcept C2775859700 @default.
• W3137965562 hasConcept C3079626 @default.
• W3137965562 hasConcept C33923547 @default.
• W3137965562 hasConcept C43179477 @default.
• W3137965562 hasConcept C43734619 @default.
• W3137965562 hasConcept C44886760 @default.
• W3137965562 hasConcept C57879066 @default.
• W3137965562 hasConcept C62520636 @default.
• W3137965562 hasConcept C74050887 @default.
• W3137965562 hasConcept C74650414 @default.
• W3137965562 hasConceptScore W3137965562C10238366 @default.
• W3137965562 hasConceptScore W3137965562C110407247 @default.
• W3137965562 hasConceptScore W3137965562C121332964 @default.
• W3137965562 hasConceptScore W3137965562C143351421 @default.
• W3137965562 hasConceptScore W3137965562C173386949 @default.
• W3137965562 hasConceptScore W3137965562C177918212 @default.
• W3137965562 hasConceptScore W3137965562C180205008 @default.
• W3137965562 hasConceptScore W3137965562C2524010 @default.
• W3137965562 hasConceptScore W3137965562C2775859700 @default.
• W3137965562 hasConceptScore W3137965562C3079626 @default.
• W3137965562 hasConceptScore W3137965562C33923547 @default.
• W3137965562 hasConceptScore W3137965562C43179477 @default.
• W3137965562 hasConceptScore W3137965562C43734619 @default.
• W3137965562 hasConceptScore W3137965562C44886760 @default.
• W3137965562 hasConceptScore W3137965562C57879066 @default.
• W3137965562 hasConceptScore W3137965562C62520636 @default.
• W3137965562 hasConceptScore W3137965562C74050887 @default.
• W3137965562 hasConceptScore W3137965562C74650414 @default.
• W3137965562 hasIssue "3" @default.
• W3137965562 hasLocation W31379655621 @default.
• W3137965562 hasLocation W31379655622 @default.
• W3137965562 hasLocation W31379655623 @default.
• W3137965562 hasLocation W31379655624 @default.
• W3137965562 hasLocation W31379655625 @default.
• W3137965562 hasLocation W31379655626 @default.
• W3137965562 hasLocation W31379655627 @default.
• W3137965562 hasOpenAccess W3137965562 @default.
• W3137965562 hasPrimaryLocation W31379655621 @default.
• W3137965562 hasRelatedWork W2132629109 @default.
• W3137965562 hasRelatedWork W2285922472 @default.
• W3137965562 hasRelatedWork W2354989395 @default.
• W3137965562 hasRelatedWork W2363121939 @default.
• W3137965562 hasRelatedWork W2366076529 @default.
• W3137965562 hasRelatedWork W2369670045 @default.
• W3137965562 hasRelatedWork W4233957653 @default.
• W3137965562 hasRelatedWork W4285140249 @default.
• W3137965562 hasRelatedWork W4294653626 @default.
• W3137965562 hasRelatedWork W4379743905 @default.
• W3137965562 hasVolume "103" @default.
• W3137965562 isParatext "false" @default.
• W3137965562 isRetracted "false" @default.

• next