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math.HO2016
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…
physics.plasm-ph2016
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…