Laser and Particle Beams · 2000 · 31 citations · 0 references
Natural SciencesMathematicsPhysicsDifferential EquationsDynamical SystemsTheoretical PhysicsEquations Of StateGroup TheoryGroup Theory In PhysicsLie AlgebrasLie GroupsIdeal Gas Equation Of StateInvariant Theory Of Differential EquationsInvariant Theory Of Lie GroupsLie Algebra So(3)Lie Algebra TheoryLie Group So(3)
A method for developing invariant equations of state (EOS) for which solutions of the Noh problem will exist is developed. The ideal gas EOS is shown to be a special case of the general method. Explicit solutions of the Noh problem in planar, cylindrical, and spherical geometry are determined for a Mie–Gruneisen and the stiff gas equation of state.