Shadow Waves – Entropies and Interactions for Delta and Singular Shocks
نویسنده
چکیده
The paper deal with two key problems for delta (or singular) shock solutions to systems of conservation laws: entropy admissibility conditions for them (which is connected to the notorious uniqueness problem) and their interaction. A way we chose is to represent them by nets of piecewise constant (or constant with respect only to the space variable) functions, here called shadow waves. All the calculations then can be done on each element of such net using the usual Rankine-Hugoniot conditions only. The 3× 3 pressureless gas dynamics model is the main example in the paper.
منابع مشابه
On delta-shocks and singular shocks
It is well known that there are “nonclassical” situations where, in contrast to Lax’s and Glimm’s results,systems of conservation laws may admit singular solutions (δ-shocks and singular shocks) such that their components contain delta functions [ASh05], [B94], [DSh03]– [LW02], [S02]– [Sh04], [TZZ94]. The exact structure of such type solutions is given below in (2), (7) and Definition 1. The th...
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