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math.AP2019★ 5 cited
Scale Invariance of the Homentropic Inviscid Euler Equations with Application to the Noh Problem
Jesse F. Giron, Scott D. Ramsey, Roy S. Baty
We investigate the inviscid compressible flow (Euler) equations constrained by an "isentropic" equation of state (EOS), whose functional form in pressure is an arbitrary function o…
math.AP2018★ 11 cited
Conditions for Translation and Scaling Invariance of the Neutron Diffusion Equation
Jesse F. Giron, Scott D. Ramsey, Brian A. Temple
Lie group methods are applied to the time-dependent, monoenergetic neutron diffusion equation in materials with spatial and time dependence. To accomplish this objective, the under…