Shy shadows of infinite-dimensional partially hyperbolic invariant sets
Sign Up to like & getrecommendations! Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2017.65
Abstract: Let ${\mathcal{R}}$ be a strongly compact $C^{2}$ map defined in an open subset of an infinite-dimensional Banach space such that the image of its derivative $D_{F}{\mathcal{R}}$ is dense for every $F$ . Let $\unicode[STIX]{x1D6FA}$ be… read more here.
Keywords: stix; stix x1d6ff; unicode stix; stix x1d6fa ... See more keywords
Local versus volume-integrated turbulence and mixing in breaking internal waves on slopes
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2017.36
Abstract: Using direct numerical simulations (DNS), we explore local and volume-integrated measures of turbulence and mixing in breaking internal waves on slopes. We consider eight breaking wave cases with a range of normalized pycnocline thicknesses $k\unicode[STIX]{x1D6FF}$… read more here.
Keywords: stix x1d6ff; unicode stix; turbulence mixing; volume integrated ... See more keywords
Extreme-scale motions in turbulent plane Couette flows
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2018.131
Abstract: We study the large-scale motions in turbulent plane Couette flows at moderate friction Reynolds number up to $Re_{\unicode[STIX]{x1D70F}}=500$ . Direct numerical simulation (DNS) domains were as large as $100\unicode[STIX]{x03C0}\unicode[STIX]{x1D6FF}\times 2\unicode[STIX]{x1D6FF}\times 5\unicode[STIX]{x03C0}\unicode[STIX]{x1D6FF}$ , where $\unicode[STIX]{x1D6FF}$ is… read more here.
Keywords: motions turbulent; stix; scale motions; stix x1d6ff ... See more keywords
Mean turbulence statistics in boundary layers over high-porosity foams
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2018.57
Abstract: This paper reports turbulent boundary layer measurements made over open-cell reticulated foams with varying pore size and thickness, but constant porosity ( $\unicode[STIX]{x1D716}\approx 0.97$ ). The foams were flush-mounted into a cutout on a flat… read more here.
Keywords: stix x1d6ff; velocity; unicode stix; turbulence ... See more keywords
Structure function tensor equations in inhomogeneous turbulence
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2020.399
Abstract: Exact budget equations for the second-order structure function tensor $\langle \unicode[STIX]{x1D6FF}u_{i}\unicode[STIX]{x1D6FF}u_{j}\rangle$, where $\unicode[STIX]{x1D6FF}u_{i}$ is the difference of the $i$th fluctuating velocity component between two points, are used to study the two-point statistics of velocity fluctuations… read more here.
Keywords: component; stix; turbulence; stix x1d6ff ... See more keywords
$L^{p}$ -BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS
Sign Up to like & getrecommendations! Published in 2017 at "Journal of the Institute of Mathematics of Jussieu"
DOI: 10.1017/s1474748017000123
Abstract: Given a compact Lie group $G$ , in this paper we establish $L^{p}$ -bounds for pseudo-differential operators in $L^{p}(G)$ . The criteria here are given in terms of the concept of matrix symbols defined on… read more here.
Keywords: stix x1d70c; stix; stix x1d6ff; unicode stix ... See more keywords