5 citations · 9 across the 6 of their papers we have counts for
7 papers
Level crossing instabilities in inviscid isothermal compressible Couette flow
Govind S. Krishnaswami, Sonakshi Sachdev, Pritish Sinha
We study the linear stability of inviscid steady parallel flow of an ideal gas in a channel of finite width. Compressible isothermal two-dimensional monochromatic perturbations are…
Conservative regularization of neutral fluids and plasmas
Sonakshi Sachdev
Ideal systems of equations such as Euler and MHD may develop singular structures like shocks, vortex/current sheets. Among these, vortical singularities arise due to vortex stretch…
Nonlinear dispersive regularization of inviscid gas dynamics
Govind S Krishnaswami, Sachin Phatak, Sonakshi Sachdev +1
Ideal gas dynamics can develop shock-like singularities with discontinuous density. Viscosity typically regularizes such singularities and leads to a shock structure. On the other…
Conservative regularization of compressible dissipationless two-fluid plasmas
Govind S. Krishnaswami, Sonakshi Sachdev, Anantanarayanan Thyagaraja
This paper extends our earlier approach [cf. Phys. Plasmas 17, 032503 (2010), 23, 022308 (2016)] to obtaining a priori bounds on enstrophy in neutral fluids (R-Euler) and ideal mag…
Algebra and geometry of Hamilton's quaternions
Govind S. Krishnaswami, Sonakshi Sachdev
Inspired by the relation between the algebra of complex numbers and plane geometry, William Rowan Hamilton sought an algebra of triples for application to three dimensional geometr…
Local conservative regularizations of compressible magnetohydrodynamic and neutral flows
Govind S. Krishnaswami, Sonakshi Sachdev, Anantanarayanan Thyagaraja
Ideal systems like MHD and Euler flow may develop singularities in vorticity (w = curl v). Viscosity and resistivity provide dissipative regularizations of the singularities. In th…
Conservative regularization of compressible flow and ideal magnetohydrodynamics
Govind S. Krishnaswami, Sonakshi Sachdev, Anantanarayanan Thyagaraja
Ideal systems like MHD and Euler flow may develop singularities in vorticity (w = curl v). Viscosity and resistivity are dissipative regularizations. We propose a minimal, local, c…