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math.AP2021
The mathematical theory of splitting-merging patterns in phase transition dynamics
Eva Kardhashi, Marc Laforest, Philippe G. LeFloch
For nonlinear hyperbolic systems of conservation laws in one space variable, we establish the existence of nonclassical entropy solutions exhibiting nonlinear interactions between…
math.AP2008
Diminishing functionals for nonclassical entropy solutions selected by kinetic relations
Marc Laforest, Philippe G. LeFloch
We consider nonclassical entropy solutions to scalar conservation laws with concave-convex flux functions, whose set of left- and right-hand admissible states across undercompressi…