Relative equilibrium states and class degree
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DOI: 10.1017/etds.2017.50
Abstract: Given a factor code $\unicode[STIX]{x1D70B}$ from a shift of finite type $X$ onto a sofic shift $Y$ , an ergodic measure $\unicode[STIX]{x1D708}$ on $Y$ , and a function $V$ on $X$ with sufficient regularity, we… read more here.
Keywords: stix; unicode stix; class degree; stix x1d708 ... See more keywords
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
A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2018.51
Abstract: Over the last few years Pohl (partly jointly with coauthors) has developed dual ‘slow/fast’ transfer operator approaches to automorphic functions, resonances, and Selberg zeta functions for a certain class of hyperbolic surfaces $\unicode[STIX]{x1D6E4}\backslash \mathbb{H}$ with… read more here.
Keywords: stix x1d6e4; zeta functions; selberg zeta; stix ... See more keywords
A new mean ergodic theorem for tori and recurrences
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DOI: 10.1017/etds.2019.70
Abstract: Let $X$ be a finite-dimensional connected compact abelian group equipped with the normalized Haar measure $\unicode[STIX]{x1D707}$ . We obtain the following mean ergodic theorem over ‘thin’ phase sets. Fix $k\geq 1$ and, for every $n\geq… read more here.
Keywords: stix; ergodic theorem; mean ergodic; unicode stix ... See more keywords
Continuum perspective of bulk viscosity in compressible fluids
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DOI: 10.1017/jfm.2016.834
Abstract: Kinetic theory and acoustic measurements have proven that the bulk viscosity associated with the expansion or compression effect cannot be ignored in compressible fluids except for monatomic gases. A new theoretical formula for the bulk… read more here.
Keywords: stix; unicode stix; stix x1d701; bulk viscosity ... See more keywords
Statistics of kinetic and thermal energy dissipation rates in two-dimensional turbulent Rayleigh–Bénard convection
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2017.19
Abstract: We investigate the statistical properties of the kinetic $\unicode[STIX]{x1D700}_{u}$ and thermal $\unicode[STIX]{x1D700}_{\unicode[STIX]{x1D703}}$ energy dissipation rates in two-dimensional (2-D) turbulent Rayleigh–Bénard (RB) convection. Direct numerical simulations were carried out in a box with unit aspect ratio… read more here.
Keywords: dissipation rates; stix; unicode stix; stix x1d700 ... See more keywords
Slip-enhanced drop formation in a liquid falling down a vertical fibre
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2017.202
Abstract: For a liquid film falling down along a vertical fibre, classical theory (Kalliadasis & Chang J. Fluid Mech., vol. 261, 1994, pp. 135–168; Yu & Hinch J. Fluid Mech., vol. 737, 2013, pp. 232–248) showed… read more here.
Keywords: slip; stix; unicode stix; stix x1d6ec ... See more keywords
Benjamin’s gravity current into an ambient fluid with an open surface
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DOI: 10.1017/jfm.2017.460
Abstract: We present the solution of the idealized steady-state gravity current of height $h$ and density $\unicode[STIX]{x1D70C}_{1}$ that propagates into an ambient motionless fluid of height $H$ and density $\unicode[STIX]{x1D70C}_{2}$ with an upper surface open to… read more here.
Keywords: fluid; stix; unicode stix; stix x1d712 ... See more keywords
Collapse of a neutrally buoyant suspension column: from Newtonian to apparent non-Newtonian flow regimes
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2017.471
Abstract: Experiments on the collapse of non-colloidal and neutrally buoyant particles suspended in a Newtonian fluid column are presented, in which the initial volume fraction of the suspension $\unicode[STIX]{x1D719}$ , the viscosity of the interstitial fluid… read more here.
Keywords: stix x1d719; stix; suspension; unicode stix ... See more keywords
A quantitative assessment of viscous asymmetric vortex pair interactions
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DOI: 10.1017/jfm.2017.527
Abstract: The interactions of two like-signed vortices in viscous fluid are investigated using two-dimensional numerical simulations performed across a range of vortex strength ratios, $\unicode[STIX]{x1D6EC}=\unicode[STIX]{x1D6E4}_{1}/\unicode[STIX]{x1D6E4}_{2}\leqslant 1$ , corresponding to vortices of circulation, $\unicode[STIX]{x1D6E4}_{i}$ , with differing… read more here.
Keywords: stix x1d6e4; stix x1d714; stix; vortex ... See more keywords
Nonlinear aspects of focusing internal waves
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DOI: 10.1017/jfm.2018.1020
Abstract: When a torus oscillates horizontally in a linearly stratified fluid, the wave rays form a double cone, one upward and one downward, with two focal points where the wave amplitude has a maximum due to… read more here.
Keywords: wave amplitude; fluid; stix; nonlinear aspects ... See more keywords