Junction Conditions, Resolution of Singularities and Nonlinear Equations of Physics

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.

References in corpus (2)

• How to solve smooth nonlinear PDEs in algebras of generalized functions with dense singularities
• Scattering in highly singular potentials

Cited by in corpus (2)

• Inevitable Infinite Branching in the Multiplication of Singularities
• Local Functions : Algebras, Ideals, and Reduced Power Algebras