Matches in SemOpenAlex for { <https://semopenalex.org/work/W17075513> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W17075513 startingPage "1335" @default.
- W17075513 abstract "In the present work, conservation law for infinitesimal perturbations to any solution of the four groups is derived and used to obtain a necessary condition for its normal mode instability. Such a condition imposes a restriction on the spectral distribution of the energy of unstable modes by means of an average spectral number χ of the mode amplitude. To be more specific, χ = n(n + 1) for unstable modes of any LP flow or RH wave of degree n, and χ = { δχ−1 σ + (1− δ)χ−1 α }−1 for any WV wave or modon. Here δ is the fraction of the mode enstrophy concentrated in the outer region of the solution (0 ≤ δ ≤ 1), χα = α(α + 1), χσ = σ(σ + 1), and α and σ are the degrees of spherical harmonics, which represent the wave solution in its inner and outer regions, respectively. Thus, whereas the instability conditions for LP flows and RH waves depend only on the solution degree, the instability conditions for WV waves and modons also depend on the distribution of the mode energy in the inner and outer regions of the solution. Also, we have estimated bounds of the growth rate of the normal modes, and showed the orthogonality of the amplitude of each unstable," @default.
- W17075513 created "2016-06-24" @default.
- W17075513 creator A5006404390 @default.
- W17075513 date "2004-01-01" @default.
- W17075513 modified "2023-10-01" @default.
- W17075513 title "On the instability of wave solutions to an ideal fluid dynamics on a sphere" @default.
- W17075513 hasPublicationYear "2004" @default.
- W17075513 type Work @default.
- W17075513 sameAs 17075513 @default.
- W17075513 citedByCount "0" @default.
- W17075513 crossrefType "journal-article" @default.
- W17075513 hasAuthorship W17075513A5006404390 @default.
- W17075513 hasConcept C121332964 @default.
- W17075513 hasConcept C134306372 @default.
- W17075513 hasConcept C140820882 @default.
- W17075513 hasConcept C165801399 @default.
- W17075513 hasConcept C178944513 @default.
- W17075513 hasConcept C180205008 @default.
- W17075513 hasConcept C188414643 @default.
- W17075513 hasConcept C200114574 @default.
- W17075513 hasConcept C207821765 @default.
- W17075513 hasConcept C33923547 @default.
- W17075513 hasConcept C57879066 @default.
- W17075513 hasConcept C62520636 @default.
- W17075513 hasConcept C74650414 @default.
- W17075513 hasConceptScore W17075513C121332964 @default.
- W17075513 hasConceptScore W17075513C134306372 @default.
- W17075513 hasConceptScore W17075513C140820882 @default.
- W17075513 hasConceptScore W17075513C165801399 @default.
- W17075513 hasConceptScore W17075513C178944513 @default.
- W17075513 hasConceptScore W17075513C180205008 @default.
- W17075513 hasConceptScore W17075513C188414643 @default.
- W17075513 hasConceptScore W17075513C200114574 @default.
- W17075513 hasConceptScore W17075513C207821765 @default.
- W17075513 hasConceptScore W17075513C33923547 @default.
- W17075513 hasConceptScore W17075513C57879066 @default.
- W17075513 hasConceptScore W17075513C62520636 @default.
- W17075513 hasConceptScore W17075513C74650414 @default.
- W17075513 hasLocation W170755131 @default.
- W17075513 hasOpenAccess W17075513 @default.
- W17075513 hasPrimaryLocation W170755131 @default.
- W17075513 hasRelatedWork W1496804478 @default.
- W17075513 hasRelatedWork W1520228643 @default.
- W17075513 hasRelatedWork W1572842267 @default.
- W17075513 hasRelatedWork W1970465230 @default.
- W17075513 hasRelatedWork W1981828848 @default.
- W17075513 hasRelatedWork W1983208314 @default.
- W17075513 hasRelatedWork W2011888991 @default.
- W17075513 hasRelatedWork W2018674015 @default.
- W17075513 hasRelatedWork W2034621231 @default.
- W17075513 hasRelatedWork W2044543622 @default.
- W17075513 hasRelatedWork W2058061510 @default.
- W17075513 hasRelatedWork W2058888063 @default.
- W17075513 hasRelatedWork W2086733061 @default.
- W17075513 hasRelatedWork W2088072123 @default.
- W17075513 hasRelatedWork W2098025988 @default.
- W17075513 hasRelatedWork W2613062168 @default.
- W17075513 hasRelatedWork W3202944853 @default.
- W17075513 hasRelatedWork W94010173 @default.
- W17075513 hasRelatedWork W99757727 @default.
- W17075513 hasRelatedWork W1499554550 @default.
- W17075513 hasVolume "35" @default.
- W17075513 isParatext "false" @default.
- W17075513 isRetracted "false" @default.
- W17075513 magId "17075513" @default.
- W17075513 workType "article" @default.