01117nas a2200133   4500008004100000245007800041210006900119300001600188490000800204520062100212100002300833700002000856856010700876       2015                        eng d00aQuadratic Interaction Functional for General Systems of Conservation Laws0 aQuadratic Interaction Functional for General Systems of Conserva  a1075–11520 v3383 a<p>For the Glimm scheme approximation to the solution of the system of conservation laws in one space dimension with initial data u 0 with small total variation, we prove a quadratic (w.r.t. Tot. Var. ( u 0)) interaction estimate, which has been used in the literature for stability and convergence results. No assumptions on the structure of the flux f are made (apart from smoothness), and this estimate is the natural extension of the Glimm type interaction estimate for genuinely nonlinear systems. More precisely, we obtain the following results: a new analysis of the interaction estimates of simple waves;</p>1 aBianchini, Stefano1 aModena, Stefano  uhttps://math.sissa.it/publication/quadratic-interaction-functional-general-systems-conservation-laws-0