Matches in SemOpenAlex for { <https://semopenalex.org/work/W3179554094> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W3179554094 endingPage "1485" @default.
- W3179554094 startingPage "1455" @default.
- W3179554094 abstract "The stellar dynamic models considered here deal with triples ( $$f,;rho ,;U$$ ) of three functions: the distribution function $$f = f(r,u)$$ , the local density $$rho = rho (r)$$ , and the Newtonian potential $$U = U(r)$$ , where $$r: = left| x right|$$ , $$u: = left| {v} right|$$ ( $$(x,{v}) in {{mathbb{R}}^{3}} times {{mathbb{R}}^{3}}$$ are the space-velocity coordinates), and $$f$$ is a function $$q$$ of the local energy $$E = U(r) + frac{{{{u}^{2}}}}{2}$$ . Our first result is an answer to the following question: Given a (positive) function $$p = p(r)$$ on a bounded interval $$[0,R]$$ , how can one recognize $$p$$ as the local density of a stellar dynamic model of the given type (“inverse problem”)? If this is the case, we say that $$p$$ is “extendable” (to a complete stellar dynamic model). Assuming that $$p$$ is strictly decreasing we reveal the connection between $$p$$ and $$F$$ , which appears in the nonlinear integral equation $$p = FU[p]$$ and the solvability of Eddington’s equation between $$F$$ and $$q$$ (Theorem 4.1). Second, we investigate the following question (“direct problem”): Which $$q$$ induce distribution functions $$f$$ of the form $$f = q( - E(r,u) - {{E}_{0}})$$ of a stellar dynamic model? This leads to the investigation of the nonlinear equation $$p = FU[p]$$ in an approximative and constructive way by mainly numerical methods." @default.
- W3179554094 created "2021-07-19" @default.
- W3179554094 creator A5040727610 @default.
- W3179554094 creator A5074746016 @default.
- W3179554094 creator A5084165963 @default.
- W3179554094 date "2022-09-01" @default.
- W3179554094 modified "2023-10-10" @default.
- W3179554094 title "Three-Dimensional Stationary Spherically Symmetric Stellar Dynamic Models Depending on the Local Energy" @default.
- W3179554094 cites W1973673514 @default.
- W3179554094 cites W2093639528 @default.
- W3179554094 cites W2884066138 @default.
- W3179554094 cites W3127228927 @default.
- W3179554094 cites W4255914035 @default.
- W3179554094 doi "https://doi.org/10.1134/s0965542522090081" @default.
- W3179554094 hasPublicationYear "2022" @default.
- W3179554094 type Work @default.
- W3179554094 sameAs 3179554094 @default.
- W3179554094 citedByCount "0" @default.
- W3179554094 crossrefType "journal-article" @default.
- W3179554094 hasAuthorship W3179554094A5040727610 @default.
- W3179554094 hasAuthorship W3179554094A5074746016 @default.
- W3179554094 hasAuthorship W3179554094A5084165963 @default.
- W3179554094 hasBestOaLocation W31795540942 @default.
- W3179554094 hasConcept C110121322 @default.
- W3179554094 hasConcept C111919701 @default.
- W3179554094 hasConcept C114614502 @default.
- W3179554094 hasConcept C121332964 @default.
- W3179554094 hasConcept C13355873 @default.
- W3179554094 hasConcept C134306372 @default.
- W3179554094 hasConcept C138885662 @default.
- W3179554094 hasConcept C14036430 @default.
- W3179554094 hasConcept C158622935 @default.
- W3179554094 hasConcept C186370098 @default.
- W3179554094 hasConcept C207467116 @default.
- W3179554094 hasConcept C2524010 @default.
- W3179554094 hasConcept C2778572836 @default.
- W3179554094 hasConcept C2778701210 @default.
- W3179554094 hasConcept C2780897414 @default.
- W3179554094 hasConcept C33923547 @default.
- W3179554094 hasConcept C34388435 @default.
- W3179554094 hasConcept C37914503 @default.
- W3179554094 hasConcept C41008148 @default.
- W3179554094 hasConcept C41895202 @default.
- W3179554094 hasConcept C62520636 @default.
- W3179554094 hasConcept C78458016 @default.
- W3179554094 hasConcept C86803240 @default.
- W3179554094 hasConcept C98045186 @default.
- W3179554094 hasConceptScore W3179554094C110121322 @default.
- W3179554094 hasConceptScore W3179554094C111919701 @default.
- W3179554094 hasConceptScore W3179554094C114614502 @default.
- W3179554094 hasConceptScore W3179554094C121332964 @default.
- W3179554094 hasConceptScore W3179554094C13355873 @default.
- W3179554094 hasConceptScore W3179554094C134306372 @default.
- W3179554094 hasConceptScore W3179554094C138885662 @default.
- W3179554094 hasConceptScore W3179554094C14036430 @default.
- W3179554094 hasConceptScore W3179554094C158622935 @default.
- W3179554094 hasConceptScore W3179554094C186370098 @default.
- W3179554094 hasConceptScore W3179554094C207467116 @default.
- W3179554094 hasConceptScore W3179554094C2524010 @default.
- W3179554094 hasConceptScore W3179554094C2778572836 @default.
- W3179554094 hasConceptScore W3179554094C2778701210 @default.
- W3179554094 hasConceptScore W3179554094C2780897414 @default.
- W3179554094 hasConceptScore W3179554094C33923547 @default.
- W3179554094 hasConceptScore W3179554094C34388435 @default.
- W3179554094 hasConceptScore W3179554094C37914503 @default.
- W3179554094 hasConceptScore W3179554094C41008148 @default.
- W3179554094 hasConceptScore W3179554094C41895202 @default.
- W3179554094 hasConceptScore W3179554094C62520636 @default.
- W3179554094 hasConceptScore W3179554094C78458016 @default.
- W3179554094 hasConceptScore W3179554094C86803240 @default.
- W3179554094 hasConceptScore W3179554094C98045186 @default.
- W3179554094 hasIssue "9" @default.
- W3179554094 hasLocation W31795540941 @default.
- W3179554094 hasLocation W31795540942 @default.
- W3179554094 hasOpenAccess W3179554094 @default.
- W3179554094 hasPrimaryLocation W31795540941 @default.
- W3179554094 hasRelatedWork W2036915488 @default.
- W3179554094 hasRelatedWork W2051398822 @default.
- W3179554094 hasRelatedWork W2353086977 @default.
- W3179554094 hasRelatedWork W2386236224 @default.
- W3179554094 hasRelatedWork W2758391249 @default.
- W3179554094 hasRelatedWork W2950211734 @default.
- W3179554094 hasRelatedWork W3084636652 @default.
- W3179554094 hasRelatedWork W3157894703 @default.
- W3179554094 hasRelatedWork W4309700712 @default.
- W3179554094 hasRelatedWork W916474371 @default.
- W3179554094 hasVolume "62" @default.
- W3179554094 isParatext "false" @default.
- W3179554094 isRetracted "false" @default.
- W3179554094 magId "3179554094" @default.
- W3179554094 workType "article" @default.