Preface One of the most influential works in Fluid Dynamics at the edge of the 19-th century was a short paper [130] written by Henry Selby Hele-Shaw (1854–1941). There Hele-Shaw first described his… (More)

Field theoretical renormalization group methods are applied to the Obukhov– Kraichnan model of a passive scalar advected by the Gaussian velocity field

Sub-Riemannian Geometry is proved to play an important role in many applications, e.g., Mathematical Physics and Control Theory. The simplest example of sub-Riemannian structure is provided by the… (More)

We study one-parameter curves on the universal Teichmüller space T and on the homogeneous space M = Diff S/Rot S embedded into T . As a result, we deduce evolution equations for conformal maps that… (More)

We study geometric properties of a contracting bubble driven by a homogeneous source at infinity and surface tension. The properties that are preserved during the time evolution are under… (More)

We consider the Löwner differential equation generating univalent maps of the unit disk (or of the upper half-plane) onto itself minus a single slit. We prove that the circular slits, tangent to the… (More)

We consider two-dimensional Hele-Shaw corner flows without effect of the surface tension and with an interface extending to the infinity along one of the walls. Explicit solutions that present a… (More)

We study shapes given by polynomial lemniscates, and their fingerprints. We focus on the inflection points of fingerprints, their number and geometric meaning. Furthermore, we study dynamics of zeros… (More)

Methyl-β-cyclodextrin (0.1 mM) reduced resting potential of muscle fibers and abolished local endplate membrane hyperpolarization in rat diaphragm. This effect was associated with selective reduction… (More)

The well-known Schwarz–Pick lemma states that any analytic mapping φ of the unit disk U into itself satisfies the inequality |φ′(z)| ≤ 1− |φ(z)| 2 1− |z|2 , z ∈ U. This estimate remains the same if… (More)