Benjamin’s gravity current into an ambient fluid with an open surface
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fluid Mechanics"
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
Wake of super-hydrophobic falling spheres: influence of the air layer deformation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2018.480
Abstract: We report an experimental investigation of the wake of free falling super-hydrophobic spheres. The mutual interaction between the air layer (plastron) encapsulating the super-hydrophobic spheres and the flow is emphasised by studying the hydrodynamic performance.… read more here.
Keywords: deformation; unicode stix; stix x1d712; super hydrophobic ... See more keywords
LARGE VALUES OF FOR TH ORDER CHARACTERS AND APPLICATIONS TO CHARACTER SUMS
Sign Up to like & getrecommendations! Published in 2017 at "Mathematika"
DOI: 10.1112/s0025579316000164
Abstract: For any given integer $k\geqslant 2$ we prove the existence of infinitely many $q$ and characters $\unicode[STIX]{x1D712}\,(\text{mod}\;q)$ of order $k$ such that $|L(1,\unicode[STIX]{x1D712})|\geqslant (\text{e}^{\unicode[STIX]{x1D6FE}}+o(1))\log \log q$ . We believe this bound to be the best… read more here.
Keywords: character sums; unicode stix; order; stix x1d712 ... See more keywords