5 papers · 1 filter
Conservation Laws with Discontinuous Gradient-Dependent Flux: the Stable Case
Debora Amadori, Alberto Bressan, Wen Shen
The paper is concerned with a scalar conservation law with discontinuous gradient-dependent flux. Namely, the flux is described by two different functions or , when th…
Conservation Laws with Discontinuous Gradient-Dependent Flux: the Unstable Case
Debora Amadori, Alberto Bressan, Wen Shen
The paper is concerned with a scalar conservation law with discontinuous gradient-dependent flux. Namely, the flux is described by two different functions or , when th…
Generic Solutions to Controlled Balance Laws
Alberto Bressan, Khai T. Nguyen
The paper is concerned with a scalar balance law, where the source term depends on a control function . Given a control , it is prove…
Intermediate Domains for Scalar Conservation Laws
Fabio Ancona, Alberto Bressan, Elio Marconi +1
For a scalar conservation law with strictly convex flux, by Oleinik's estimates the total variation of a solution with initial data decay…
Generic Properties of Conjugate Points in Optimal Control Problems
Alberto Bressan, Marco Mazzola, Khai T. Nguyen
The first part of the paper studies a class of optimal control problems in Bolza form, where the dynamics is linear w.r.t.~the control function. A necessary condition is derived, f…