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most citedRelative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non BV perturbations

55 citations · 105 across the 5 of their papers we have counts for

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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…