activity
20112026
most citedHard analysis meets critical knots (Stationary points of the Moebius energy are smooth)

49 citations · 80 across the 17 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

physics.flu-dyn2021★ 1 cited

Flow states and heat transport in Rayleigh--Bénard convection with different sidewall boundary conditions

Philipp Reiter, Xuan Zhang, Olga Shiskina

This work addresses the effects of different thermal sidewall boundary conditions on the formation of flow states and heat transport in two- and three-dimensional Rayleigh--Bénard…

math.GT2021

Knots with equal bridge index and braid index

Yuanan Diao, Claus Ernst, Philipp Reiter

In this paper we are interested in BB knots, namely knots and links where the bridge index equals the braid index. Supported by observations from experiments, it is conjectured tha…

math.DG2021

Symmetric elastic knots

Alexandra Gilsbach, Philipp Reiter, Heiko von der Mosel

Minimizing the bending energy within knot classes leads to the concept of elastic knots which has been initiated in [von der Mosel, Asymptot. Anal. 1998]. Motivated by numerical ex…

math.AP2021★ 1 cited

Scale-invariant tangent-point energies for knots

Simon Blatt, Philipp Reiter, Armin Schikorra +1

We investigate minimizers and critical points for scale-invariant tangent-point energies of closed curves. We show that a) minimizing sequences in ambient isotopy…

physics.flu-dyn2021

Crossover of the relative heat transport contributions of plume ejecting and impacting zones in turbulent Rayleigh-Bénard convection

Philipp Reiter, Olga Shishkina, Detlef Lohse +1

Turbulent thermal convection is characterized by the formation of large-scale structures and strong spatial inhomogeneity. This work addresses the relative heat transport contribut…