A Note on the Jump Conditions for Systems of Conservation Laws |
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Authors: | G K Srinivasan and V D Sharma |
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Institution: | Indian Institute of Technology, Bombay |
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Abstract: | In 1 ], 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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