A physically based method to derive well-posed instances of the two-fluid momentum
transport equations from first principles is presented. The basic tools used in this endeavor …

The existence of quantized vortices is a key feature of Bose–Einstein condensates. In
equilibrium condensates, only quantum vortices of unit topological charge are stable, due to …

We address the problem of the potential motion of an ideal incompressible fluid with a free
surface and infinite depth in a two-dimensional geometry. We admit the presence of gravity …

We consider the Euler equations for the potential flow of an ideal incompressible fluid of
infinite depth with a free surface in two-dimensional geometry. Both gravity and surface …

Turbulence in the quantum (superfluid) regime, similarly to its classical counterpart,
continues to attract a great deal of scientific inquiry due to the yet high number of unresolved …

A potential motion of ideal incompressible fluid with a free surface and infinite depth is
considered in two-dimensional geometry. A time-dependent conformal map** of the lower …

A problem of an unsteady plane flow of an ideal incompressible fluid with a free boundary is
considered. It is shown that the solution can be found by using a complex transport equation …

The thermal counterflow of superfluid helium past a cylinder has been found to generate two
pairs of symmetrical vortexes upstream and downstream of the cylinder in experiments. This …

Global existence and singularity formation for the generalized Constantin–Lax–Majda equation
with dissipation: the real line Page 1 Nonlinearity PAPER Global existence and singularity …

The Kelvin-Helmholtz instability is well known in classical hydrodynamics where it explains
the sudden emergence of interfacial surface waves as a function of the flow velocity parallel …