Matches in SemOpenAlex for { <https://semopenalex.org/work/W3137995072> ?p ?o ?g. }
- W3137995072 endingPage "577" @default.
- W3137995072 startingPage "557" @default.
- W3137995072 abstract "Large scale dynamics of the oceans and the atmosphere are governed by the primitive equations (PEs). It is well-known that the three-dimensional viscous PEs is globally well-posed in Sobolev spaces. On the other hand, the inviscid PEs without rotation is known to be ill-posed in Sobolev spaces, and its smooth solutions can form singularity in finite time. In this paper, we extend the above results in the presence of rotation. We construct finite-time blowup solutions to the inviscid PEs with rotation, and establish that the inviscid PEs with rotation is ill-posed in Sobolev spaces in the sense that its perturbation around a certain steady state background flow is both linearly and nonlinearly ill-posed in Sobolev spaces. Its linear instability is of the Kelvin-Helmholtz type similar to the one appears in the context of vortex sheets problem. This implies that the inviscid PEs is also linearly ill-posed in Gevrey class of order s>1, and suggests that a suitable space for the well-posedness is Gevrey class of order s=1, which is exactly the space of analytic functions." @default.
- W3137995072 created "2021-03-29" @default.
- W3137995072 creator A5062005823 @default.
- W3137995072 creator A5076835339 @default.
- W3137995072 creator A5086564918 @default.
- W3137995072 date "2021-06-01" @default.
- W3137995072 modified "2023-10-18" @default.
- W3137995072 title "Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation" @default.
- W3137995072 cites W1970421913 @default.
- W3137995072 cites W1976256637 @default.
- W3137995072 cites W1982942714 @default.
- W3137995072 cites W1993762544 @default.
- W3137995072 cites W1997645248 @default.
- W3137995072 cites W1998243964 @default.
- W3137995072 cites W2002381779 @default.
- W3137995072 cites W2015274938 @default.
- W3137995072 cites W2016215353 @default.
- W3137995072 cites W2017180326 @default.
- W3137995072 cites W2040211481 @default.
- W3137995072 cites W2052068374 @default.
- W3137995072 cites W2053009996 @default.
- W3137995072 cites W2055878937 @default.
- W3137995072 cites W2061691319 @default.
- W3137995072 cites W2065767242 @default.
- W3137995072 cites W2066752612 @default.
- W3137995072 cites W2070446817 @default.
- W3137995072 cites W2073078790 @default.
- W3137995072 cites W2078408948 @default.
- W3137995072 cites W2090872027 @default.
- W3137995072 cites W2091516904 @default.
- W3137995072 cites W2111542814 @default.
- W3137995072 cites W2121231927 @default.
- W3137995072 cites W2125464791 @default.
- W3137995072 cites W2130928436 @default.
- W3137995072 cites W2137846973 @default.
- W3137995072 cites W2138131297 @default.
- W3137995072 cites W2145857902 @default.
- W3137995072 cites W2148797843 @default.
- W3137995072 cites W2148947997 @default.
- W3137995072 cites W2159774842 @default.
- W3137995072 cites W2242847336 @default.
- W3137995072 cites W2289466714 @default.
- W3137995072 cites W2963022116 @default.
- W3137995072 cites W2963344559 @default.
- W3137995072 cites W2963536941 @default.
- W3137995072 cites W2964069986 @default.
- W3137995072 cites W2964156226 @default.
- W3137995072 cites W3037237662 @default.
- W3137995072 cites W3104855713 @default.
- W3137995072 cites W82032907 @default.
- W3137995072 doi "https://doi.org/10.1016/j.jde.2021.03.037" @default.
- W3137995072 hasPublicationYear "2021" @default.
- W3137995072 type Work @default.
- W3137995072 sameAs 3137995072 @default.
- W3137995072 citedByCount "11" @default.
- W3137995072 countsByYear W31379950722021 @default.
- W3137995072 countsByYear W31379950722022 @default.
- W3137995072 countsByYear W31379950722023 @default.
- W3137995072 crossrefType "journal-article" @default.
- W3137995072 hasAuthorship W3137995072A5062005823 @default.
- W3137995072 hasAuthorship W3137995072A5076835339 @default.
- W3137995072 hasAuthorship W3137995072A5086564918 @default.
- W3137995072 hasBestOaLocation W31379950722 @default.
- W3137995072 hasConcept C121332964 @default.
- W3137995072 hasConcept C134306372 @default.
- W3137995072 hasConcept C16171025 @default.
- W3137995072 hasConcept C2524010 @default.
- W3137995072 hasConcept C33923547 @default.
- W3137995072 hasConcept C74050887 @default.
- W3137995072 hasConcept C74650414 @default.
- W3137995072 hasConcept C86252789 @default.
- W3137995072 hasConcept C99730327 @default.
- W3137995072 hasConceptScore W3137995072C121332964 @default.
- W3137995072 hasConceptScore W3137995072C134306372 @default.
- W3137995072 hasConceptScore W3137995072C16171025 @default.
- W3137995072 hasConceptScore W3137995072C2524010 @default.
- W3137995072 hasConceptScore W3137995072C33923547 @default.
- W3137995072 hasConceptScore W3137995072C74050887 @default.
- W3137995072 hasConceptScore W3137995072C74650414 @default.
- W3137995072 hasConceptScore W3137995072C86252789 @default.
- W3137995072 hasConceptScore W3137995072C99730327 @default.
- W3137995072 hasFunder F4320323688 @default.
- W3137995072 hasFunder F4320334593 @default.
- W3137995072 hasLocation W31379950721 @default.
- W3137995072 hasLocation W31379950722 @default.
- W3137995072 hasLocation W31379950723 @default.
- W3137995072 hasLocation W31379950724 @default.
- W3137995072 hasOpenAccess W3137995072 @default.
- W3137995072 hasPrimaryLocation W31379950721 @default.
- W3137995072 hasRelatedWork W1486213812 @default.
- W3137995072 hasRelatedWork W1644877668 @default.
- W3137995072 hasRelatedWork W2415733166 @default.
- W3137995072 hasRelatedWork W2804509140 @default.
- W3137995072 hasRelatedWork W2963995572 @default.
- W3137995072 hasRelatedWork W3084282746 @default.
- W3137995072 hasRelatedWork W3137995072 @default.
- W3137995072 hasRelatedWork W3186153824 @default.
- W3137995072 hasRelatedWork W4287670694 @default.