In recognition of the highly non-trivial task of computation of the inverse Hasimoto transformation mapping the intrinsic geometric parameter space onto the extrinsic vortex filament coordinate space...
Divorticity and Dihelicity In Two-Dimensional Hydrodynamics (2009)
Shivamoggi, B. K., Rasmussen, J. Juul
A framework is developed based on the concepts of {\it divorticity} ${\textbf B}$($\equiv\nabla\times\bfo$, $\bfo$ being the vorticity) and $\textit{dihelicity} g \lp \equiv\bfv\cdot\textbf{B}\rp$...
Compressible Turbulence: Multi-fractal Scaling in the Transition to the Dissipative Regime (2008)
Multi-fractal scaling in the transition to the dissipative regime for compressible turbulence is considered. The multi-fractal power law scaling behavior breaks down for very small length scales...
Rayleigh-Taylor Instability in a Compressible Fluid (2008)
Rayleigh-Taylor instability in a compressible fluid is reconsidered. The density is allowed to vary with pressure under the barotropy assumption. For the case with equal speeds of sound in the two...
Beltrami States for Plasma Dynamics Models (2007)
Beltrami states for several models of plasma dynamics are deduced by minimizing the appropriate total energy while keeping the appropriate total helicity constant. A non-canonical Hamiltonian...
General theoretical results via a Hamiltonian formulation are developed for zonal shear flows with the inclusion of the vortex stretching effect of the deformed free surface. These results include a...
Beltrami States for Compressible Barotropic Flows (2007)
Beltrami states for compressible barotropic flows are deduced by minimizing the total kinetic energy while keeping the total helicity constant. A Hamiltonian basis for these Beltrami states is also...