A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws
We present a new relaxation approximation to scalar conservation laws in several space variables by means of semilinear hyperbolic systems of equations with a finite number of velocities. Under a suitable multidimensional generalization of the Whitham relaxation subcharacteristic condition, we show the convergence of the approximated solutions to the unique entropy solution of the equilibrium Cauchy problem.
Whitham relaxation subcharacteristic condition
scientific article; zbMATH DE number 1213738
scientific article