Journal of Physics D Applied Physics · 1968 · 66 citations · 8 references
Natural SciencesPhysicsDifferential EquationsFluid DynamicsPlasma PhysicsShock WavesLagrange's EquationsShock DynamicsShock Wave ModelingWave Decay
The analysis of Sakurai is extended to include variable-energy flows with particular reference to cylindrical spark channel formation. A new analysis in Lagrange coordinates enables the blast-wave decay to be studied and the number of differential equations to be reduced. A new approximation for finding the velocity of the shock front is presented.
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Herman H. Goldstine, John von Neumann · Communications on Pure and Applied Mathematics · 1955 · 86 citations