Stability estimates for non-local scalar conservation laws

In this paper, we investigate the BV exponential stability of general systems of scalar conservation laws with positive velocities and under dissipative boundary conditions.. The

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

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

It is known that entropy solutions must be considered if one wants to solve scalar conservation laws (Equation (1a) is replaced by a family of inequalities — see [8] for the

In the context of road traffic modeling we consider a scalar hyperbolic conservation law with the flux (fundamental diagram) which is discontinuous at x = 0, featuring variable

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

In the rest of this paper, we examine the term structure of the liquidity premium that prevails in the European green bond market along three liquidity premia: