Mathematics – Analysis of PDEs
Scientific paper
2011-12-28
Mathematics
Analysis of PDEs
Scientific paper
We find, in an intrinsic form, a generalized Rankine-Hugoniot condition with respect to an entropy density that allows to give the proper interpretation to a formula of Vol'pert reducing the entropy condition on a function with bounded variation to its expression for generic simple jumps. It also leads to define the conservation laws only in terms of characteristics and to point out the class of entropy conditions coming from oriented conservation laws.
Minea Gheorghe
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