New entropy conditions for scalar conservation laws with discontinuous flux
New entropy conditions for scalar conservation laws with discontinuous flux
We propose new Kruzhkov type entropy conditions for one dimensionalscalar conservation law with a discontinuous flux. We proveexistence and uniqueness of the entropy admissible weak solution tothe corresponding Cauchy problem merely under assumptions on theflux which provide the maximum principle. In particular, we allowmultiple flux crossings and we do not …