engleski

Entropy conditions for scalar conservation laws with discontinuous flux revisited

We propose new entropy admissibility conditions for multidimensional hyperbolic scalar conservation laws with discontinuous flux which generalize one-dimensional Karlsen–Risebro–Towers entropy conditions. These new conditions are designed, in particular, in order to characterize the limit of vanishing viscosity approximations. On the one hand, they comply quite naturally with a certain class of physical and numerical modeling assumptions ; on the other hand, their mathematical assessment turns out to be intricate.

Inhomogeneous scalar conservation law; Discontinuous flux; Entropy solution; Vanishing viscosity approximation; Well-posedness; Crossing condition

nije evidentirano