Matches in SemOpenAlex for { <https://semopenalex.org/work/W1827431541> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W1827431541 abstract "This work is devoted to prove the existence of global weak solution for a general isothermal model of capillary fluids derived by J.E Dunn and J.Serrin (1985) (see cite{fDS}), which can be used as a phase transition model. More precisely we shall derive in a first part new entropy estimates for the density when we are dealing with specific capillarity coefficient $kappa(rho)=frac{1}{rho}$ (let us emphasize on the fact that this choice of capillarity exhibits particular regime flows in the case of the compressible Euler system with quantic pressure which corresponds here to the capillarity, see cite{Antonelli}). This allows us in particular to get enough compactness estimates in order to prove the stability of the global weak solution, the used method follows the works of A. Mellet and A. Vasseur (see cite{fMV}). Let us point out that the key of the proof is related to the introduction of a new textit{effective velocity} (which depends strongly on the structure of the viscosity and capillary coefficients). In a second part, we shall give the main result of this paper which consists in new blow-up criterion of Prodi-Serrin type for the Korteweg system involving only a control on the vacuum. It is up our knowledge the first result of this type for a compressible fluid system." @default.
- W1827431541 created "2016-06-24" @default.
- W1827431541 creator A5022771084 @default.
- W1827431541 date "2013-01-21" @default.
- W1827431541 modified "2023-10-17" @default.
- W1827431541 title "New entropy for Korteweg's system, existence of global weak solution and new blow-up criterion" @default.
- W1827431541 cites W134493960 @default.
- W1827431541 cites W1486440954 @default.
- W1827431541 cites W1489373617 @default.
- W1827431541 cites W1573547614 @default.
- W1827431541 cites W166242285 @default.
- W1827431541 cites W1675633748 @default.
- W1827431541 cites W1827566939 @default.
- W1827431541 cites W1877261025 @default.
- W1827431541 cites W1966396749 @default.
- W1827431541 cites W1974332429 @default.
- W1827431541 cites W1982305009 @default.
- W1827431541 cites W1985817879 @default.
- W1827431541 cites W1989231059 @default.
- W1827431541 cites W1996952201 @default.
- W1827431541 cites W2000724725 @default.
- W1827431541 cites W2010502651 @default.
- W1827431541 cites W2011669849 @default.
- W1827431541 cites W2012838826 @default.
- W1827431541 cites W2024482949 @default.
- W1827431541 cites W2026150295 @default.
- W1827431541 cites W2026388260 @default.
- W1827431541 cites W2030414149 @default.
- W1827431541 cites W2030587235 @default.
- W1827431541 cites W2046528357 @default.
- W1827431541 cites W2053436324 @default.
- W1827431541 cites W2070535819 @default.
- W1827431541 cites W2072434763 @default.
- W1827431541 cites W2074439496 @default.
- W1827431541 cites W2075812275 @default.
- W1827431541 cites W2089174520 @default.
- W1827431541 cites W2118653974 @default.
- W1827431541 cites W2151847866 @default.
- W1827431541 cites W2561721935 @default.
- W1827431541 cites W2610186207 @default.
- W1827431541 cites W2769635152 @default.
- W1827431541 cites W3021203386 @default.
- W1827431541 cites W3105580332 @default.
- W1827431541 hasPublicationYear "2013" @default.
- W1827431541 type Work @default.
- W1827431541 sameAs 1827431541 @default.
- W1827431541 citedByCount "2" @default.
- W1827431541 countsByYear W18274315412015 @default.
- W1827431541 countsByYear W18274315412016 @default.
- W1827431541 crossrefType "posted-content" @default.
- W1827431541 hasAuthorship W1827431541A5022771084 @default.
- W1827431541 hasBestOaLocation W18274315411 @default.
- W1827431541 hasConcept C106301342 @default.
- W1827431541 hasConcept C121332964 @default.
- W1827431541 hasConcept C144237770 @default.
- W1827431541 hasConcept C33923547 @default.
- W1827431541 hasConcept C97355855 @default.
- W1827431541 hasConceptScore W1827431541C106301342 @default.
- W1827431541 hasConceptScore W1827431541C121332964 @default.
- W1827431541 hasConceptScore W1827431541C144237770 @default.
- W1827431541 hasConceptScore W1827431541C33923547 @default.
- W1827431541 hasConceptScore W1827431541C97355855 @default.
- W1827431541 hasLocation W18274315411 @default.
- W1827431541 hasLocation W18274315412 @default.
- W1827431541 hasLocation W18274315413 @default.
- W1827431541 hasOpenAccess W1827431541 @default.
- W1827431541 hasPrimaryLocation W18274315411 @default.
- W1827431541 hasRelatedWork W1587224694 @default.
- W1827431541 hasRelatedWork W1979597421 @default.
- W1827431541 hasRelatedWork W2007980826 @default.
- W1827431541 hasRelatedWork W2061531152 @default.
- W1827431541 hasRelatedWork W2077600819 @default.
- W1827431541 hasRelatedWork W2911598644 @default.
- W1827431541 hasRelatedWork W3002753104 @default.
- W1827431541 hasRelatedWork W3159304776 @default.
- W1827431541 hasRelatedWork W4225152035 @default.
- W1827431541 hasRelatedWork W4245490552 @default.
- W1827431541 isParatext "false" @default.
- W1827431541 isRetracted "false" @default.
- W1827431541 magId "1827431541" @default.
- W1827431541 workType "article" @default.