12 citations · 27 across the 8 of their papers we have counts for
11 papers
Entropy Production in General Balance Laws
Rinaldo Colombo, Vincent Perrollaz
Given a general scalar balance law, i.e., in several space dimensions and with flux and source both space and time dependent, we focus on the functional properties of the entropy p…
Localized Inverse Design in Conservation Laws and Hamilton-Jacobi Equations
Rinaldo M. Colombo, Vincent Perrollaz
Consider the inverse design problem for a scalar conservation law, i.e., the problem of finding initial data evolving into a given profile at a given time. The solution we present…
Peculiarities of Space Dependent Conservation Laws: Inverse Design and Asymptotics
Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla
Recently, results regarding the Inverse Design problem for Conservation Laws and Hamilton-Jacobi equations with space-dependent convex fluxes were obtaine. More precisely, characte…
Initial Data Identication in Space Dependent Conservation Laws and Hamilton-Jacobi Equations
Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla
Consider a Conservation Law and a Hamilton-Jacobi equation with a ux/Hamiltonian depending also on the space variable. We characterize rst the attainable set of the two equations a…
Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions
Carlotta Donadello, Vincent Perrollaz
We describe a new method which allows us to obtain a result of exact controllability to trajectories of multidimensional conservation laws in the context of entropy solutions and u…
Initial Data Identification in Conservation Laws and Hamilton-Jacobi Equations
Rinaldo Colombo, Vincent Perrollaz
In the scalar 1D case, conservation laws and Hamilton-Jacobi equations are deeply related. For both, we characterize those profiles that can be attained as solutions at a given pos…