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Kruzkov’s estimates for scalar conservation laws revisited

Kruzkov’s estimates for scalar conservation laws revisited

We give a synthetic statement of Kružkov-type estimates for multi-dimensional scalar conservation laws. We apply it to obtain various estimates for different approximation problems. In particular we recover for a model equation the rate of convergence in $h^{1/4}$ known for finite volume methods on unstructured grids. Nous donnons un énoncé …