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

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

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