A Note on the Jump Conditions for Systems of Conservation Laws
In [ ], the authors have demonstrated the effect on the Rankine–Hugoniot conditions for a system of conservation laws driven by a singular forcing function and have applied their results to a problem in water waves. We analyze here a similar problem in several space dimensions, in which the singularity in the forcing term involves a simple layer potential supported along the singularity locus. A classical theorem in electrostatics appears as a special case.
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Document Type: Research Article
Publication date: May 1, 2003