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math.AP2010★ 55 cited
Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non BV perturbations
Nicholas Leger, Alexis Vasseur
We develop a theory based on relative entropy to show the uniqueness and L^2 stability (up to a translation) of extremal entropic Rankine-Hugoniot discontinuities for systems of co…
math.AP2009★ 38 cited
L^2 stability estimates for shock solutions of scalar conservation laws using the relative entropy method
Nicholas Leger
We consider scalar nonviscous conservation laws with strictly convex flux in one spatial dimension, and we investigate the behavior of bounded L^2 perturbations of shock wave solut…