Recent geochemical research on the bulk composition of the Moon implies that the lunar material comes from the terrestrial magma ocean. Rotational fission seems to be a favorable candidate for the mechanism to tear off the magma ocean although it has several physical difficulties. In most of the previous studies on rotational fission, the proto-Earth was treated as a single-layered body. In thi...

The results of arthroscopic anterior cruciate ligament (ACL) reconstruction are so far satisfactory and improving over time as a result of the improved understanding of the anatomy and biomechanics of the ACL. Rotational instability confirmed by a positive pivot shift is present in more than 15% of cases who underwent successful ACL reconstruction. Persistent rotational instability interferes w...

A linear deformation, by a magneto-rotational instability, of the transition suface between an outer Shakura-Sunyaev-type standard disk (SSD) and inner advection-dominated accretion flows (ADAF) is examined. The transition is assumed to be a discontinuous plane where a low-temperature, high-density gas is jointed to a high-temperature, low-density gas. No mass flow through the surface is consid...

We simulate the nonlocal Stokesian hydrodynamics of an elastic filament which is active due a permanent distribution of stresslets along its contour. A bending instability of an initially straight filament spontaneously breaks flow symmetry and leads to autonomous filament motion which, depending on conformational symmetry, can be translational or rotational. At high ratios of activity to elast...

The nonaxisymmetric ‘kink-type’ Tayler instability (TI) of toroidal magnetic fields is studied for conducting incompressible fluids of uniform density between two infinitely long cylinders rotating around the same axis. The electric current flows within the gap between the cylinders is axial direction. For given Reynolds number of rotation the magnetic Prandtl number Pm of the liquid conductor ...

In this paper, we consider instabilities of localized solutions in planar neural field firing rate models of Wilson–Cowan or Amari type. Importantly we show that angular perturbations can destabilize spatially localized solutions. For a scalar model with Heaviside firing rate function, we calculate symmetric one-bump and ring solutions explicitly and use an Evans function approach to predict th...