Smoothing effect in $BV_\Phi$ for entropy solutions of scalar conservation laws

After a short introduction to scalar conservation laws and stochastic differential equations, we give the proof of the existence of an invariant measure for the stoschastic

In sections 3 and 4, we give some applications to scalar conservation laws: a stability result, the best smoothing effect in the case of L ∞ data with a degenerate convex flux and

However with an additional control g(t) as in (1) and with f (z) = z 2 2 (Burgers equation), Chapouly showed in [8] that in the framework of classical solutions, any regular state

However with an additional control g(t) as in (1.1) and with f (z) = z 2 2 (Burgers equation), Chapouly showed in [9] that in the framework of classical solutions, any state

inhomogeneous scalar conservation law; discontinuous flux; change of variables; entropy solution; vanishing viscosity approximation; well-posedness; crossing

However with an additional control g(t) as in (1) and with f (z) = z 2 2 (Burgers equation), Chapouly showed in [8] that in the framework of classical solutions, any regular state

In Section 3.2, we give main details on the idea of a global singular change of variables that permits to reduce the case of flux f with Lipschitz jump

We describe a new method which allows us to obtain a result of exact controllability to trajectories of multidimensional conservation laws in the context of entropy solutions and