Matches in SemOpenAlex for { <https://semopenalex.org/work/W4299611066> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W4299611066 abstract "We consider the incompressible Navier-Stokes equation with a fractional power $alphain[1,infty)$ of the Laplacian in the three dimensional case. We prove the existence of a smooth solution with arbitrarily small in $dot{B}_{infty,p}^{-alpha}$ ($2<p leq infty$) initial data that becomes arbitrarily large in $dot{B}_{infty,infty}^{-s}$ for all $s> 0$ in arbitrarily small time. This extends the result of Bourgain and Pavlovi'{c} for the classical Navier-Stokes equation which utilizes the fact that the energy transfer to low modes increases norms with negative smoothness indexes. It is remarkable that the space $dot{B}_{infty,infty}^{-alpha}$ is supercritical for $alpha >1$. Moreover, the norm inflation occurs even in the case $alpha geq 5/4$ where the global regularity is known." @default.
- W4299611066 created "2022-10-02" @default.
- W4299611066 creator A5024317940 @default.
- W4299611066 creator A5086307997 @default.
- W4299611066 date "2012-12-16" @default.
- W4299611066 modified "2023-10-16" @default.
- W4299611066 title "Norm Inflation for Generalized Navier-Stokes Equations" @default.
- W4299611066 doi "https://doi.org/10.48550/arxiv.1212.3801" @default.
- W4299611066 hasPublicationYear "2012" @default.
- W4299611066 type Work @default.
- W4299611066 citedByCount "0" @default.
- W4299611066 crossrefType "posted-content" @default.
- W4299611066 hasAuthorship W4299611066A5024317940 @default.
- W4299611066 hasAuthorship W4299611066A5086307997 @default.
- W4299611066 hasBestOaLocation W42996110661 @default.
- W4299611066 hasConcept C118419359 @default.
- W4299611066 hasConcept C121332964 @default.
- W4299611066 hasConcept C134306372 @default.
- W4299611066 hasConcept C17744445 @default.
- W4299611066 hasConcept C191795146 @default.
- W4299611066 hasConcept C199539241 @default.
- W4299611066 hasConcept C2781278361 @default.
- W4299611066 hasConcept C33923547 @default.
- W4299611066 hasConcept C37914503 @default.
- W4299611066 hasConcept C84655787 @default.
- W4299611066 hasConcept C97355855 @default.
- W4299611066 hasConceptScore W4299611066C118419359 @default.
- W4299611066 hasConceptScore W4299611066C121332964 @default.
- W4299611066 hasConceptScore W4299611066C134306372 @default.
- W4299611066 hasConceptScore W4299611066C17744445 @default.
- W4299611066 hasConceptScore W4299611066C191795146 @default.
- W4299611066 hasConceptScore W4299611066C199539241 @default.
- W4299611066 hasConceptScore W4299611066C2781278361 @default.
- W4299611066 hasConceptScore W4299611066C33923547 @default.
- W4299611066 hasConceptScore W4299611066C37914503 @default.
- W4299611066 hasConceptScore W4299611066C84655787 @default.
- W4299611066 hasConceptScore W4299611066C97355855 @default.
- W4299611066 hasLocation W42996110661 @default.
- W4299611066 hasLocation W42996110662 @default.
- W4299611066 hasLocation W42996110663 @default.
- W4299611066 hasOpenAccess W4299611066 @default.
- W4299611066 hasPrimaryLocation W42996110661 @default.
- W4299611066 hasRelatedWork W1677839263 @default.
- W4299611066 hasRelatedWork W1971274429 @default.
- W4299611066 hasRelatedWork W2045884245 @default.
- W4299611066 hasRelatedWork W2625596161 @default.
- W4299611066 hasRelatedWork W2962739031 @default.
- W4299611066 hasRelatedWork W3006425913 @default.
- W4299611066 hasRelatedWork W3088674125 @default.
- W4299611066 hasRelatedWork W3153317209 @default.
- W4299611066 hasRelatedWork W3214417133 @default.
- W4299611066 hasRelatedWork W1519687012 @default.
- W4299611066 isParatext "false" @default.
- W4299611066 isRetracted "false" @default.
- W4299611066 workType "article" @default.