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math.AP2013
On a quadratic functional for scalar conservation laws
Stefano Bianchini, Stefano Modena
We prove a quadratic interaction estimate for approximate solutions to scalar conservation laws obtained by the wavefront tracking approximation or the Glimm scheme. This quadratic…
math.AP2013★ 8 cited
Quadratic interaction functional for systems of conservation laws: a case study
Stefano Bianchini, Stefano Modena
We prove a quadratic interaction estimate for wavefront approximate solutions to the triangular system of conservation laws \[ \begin{cases} u_t + \tilde f(u,v)_x = 0, \cr v_t - v_…