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math.AP2025
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…
math.AP2024
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…