Optimal Regularizing Effect for Scalar Conservation Laws

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

Vovelle : Existence and uniqueness of entropy solution of scalar conservation laws with a flux function involving discontinuous coefficients, Comm.. Bardos, A.Y LeRoux, J.C N´ed´elec

It is well-known that compactness arguments based on BV bounds for the existence of solutions for quasilinear hyperbolic conservation laws is limited to one-dimensional

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

Key words: Multidimensional scalar conservation laws, Kinetic formulation of entropy solutions, Velocity averages, Scattering, Two-microlocal regularity,

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

Zuazua study the long time behaviour of a homogeneous version of (1); we also refer the interested reader to [11], in which M. Zuazua extend the analysis performed in [12] to the

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