Quasilinear viscous approximations to scalar conservation laws

On the Convergence of Quasilinear Viscous Approximations with Degenerate Viscosity

“…Following the proof of Theorem 3.3 of [4] and applying B(u ε,δ ) + δ ≥ B(u ε,δ ), we conclude the following result.…”

“…We have established the BV-estimate of quasilinear viscous approximations (u ε ) in [4] for BV initial data. In [5], we use the method of Compensated Compactness for space dimension d = 1 and d = 2 and the Kinetic formulation for the multidimensional case to show the existence of a.e.…”