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Diminishing functionals for nonclassical entropy solutions selected by kinetic relations

Diminishing functionals for nonclassical entropy solutions selected by kinetic relations

We consider nonclassical entropy solutions to hyperbolic conservation laws with concave-convex flux functions, whose undercompressive shocks are selected by a kinetic function φ^♭ . Extending earlier work of Baiti, LeFloch and Piccoli, we reinterpret their construction of the (generalized) strength of classical and nonclassical shocks, allowing us to simplify it, …