Large-time asymptotic stability of Riemann shocks of scalar balance laws

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) and with f (z) = z 2 2 (Burgers equation), Chapouly showed in [8] that in the framework of classical solutions, any regular state

We will prove the large-time asymptotic orbital stability under regular perturbations of piecewise regular entropic traveling wave solutions under non-degeneracy hypotheses and

Besides, this relative entropy can be used to study finite volume schemes which are entropy- stable and well-balanced, and due to the numerical dissipation inherent to these

The idea is to prove in a first step the convergence for initial data which are bounded from above or from below by a solution of equation (5), and then to extend this result

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

We complete a full classification of non-degenerate traveling waves of scalar balance laws from the point of view of spectral and nonlinear stability/instability under

In order to study the evolution in time of the pointwise discrepancies of both our 2D Godunov scheme and the more classical dimensional Strang- splitting scheme on this Riemann