4 papers
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…
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…