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A Note on the Jump Conditions for Systems of Conservation Laws
Author(s) -
Srinivasan G. K.,
Sharma V. D.
Publication year - 2003
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00244
Subject(s) - conservation law , singularity , forcing (mathematics) , jump , mathematics , mathematical analysis , simple (philosophy) , term (time) , classical mechanics , physics , philosophy , epistemology , quantum mechanics
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.