Junction Conditions, Resolution of Singularities and Nonlinear Equations of Physics
Elemer E Rosinger
Abstract
For large classes of systems of polynomial nonlinear PDEs necessary and sufficient conditions are given for the existence of solutions which are discontinuous across hyper-surfaces. These PDEs contain the Navier-Stokes equations, as well as those of General Relativity and Magneto-Hydrodynamics.
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