Entropy solutions in $BV^s$ for a class of triangular systems involving a transport equation

Necessary and sufficient geometrical conditions are given in order to guarantee the existence of a local diffeomorphism to transform the studied nonlinear systems into the

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

The idea behind the use of a design parameter governed by a Riccati equation is not new and has been considered in other contributions dealing with output regulation (see e.g.

A high gain state observer for a class of systems similar to (1) has been proposed in Farza et al. [1999] considered a stabilization problem for a class of non uniformly observ-

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

Ainsi, l’IGBT est un composant mixte dont la structure principale est un transistor bipolaire de puissance (Bipolar Junction Transistor ou BJT) commandé par un

This regularity is enough to apply the theory of renormalized solutions of continuity equations with mildly regular coefficients (see the classical paper by DiPerna–Lions, [16];

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