Junction Conditions, Resolution of Singularities and Nonlinear Equations of Physics

2006/11/14 by Elemér E Rosinger, Rosinger, Elemer E · 1 citation
Mathematics · #Algebraic and Geometric Analysis #FOS: Mathematics #General Mathematics (math.GM) #Mathematical Analysis and Transform Methods #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.math/0611445

openalex publication_date 2006/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• How to solve smooth nonlinear PDEs in algebras of generalized functions with dense singularities

Cited by

• Inevitable Infinite Branching in the Multiplication of Singularities

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