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math.AP2020
SBV regularity for Burgers-Poisson equation
Steven Gilmore, Khai T. Nguyen
The SBV regularity of weak entropy solutions to the Burgers-Poisson equation is considered. We show that the derivative of a solution consists of only the absolutely continuous par…
math.AP2020
On the global controllability of scalar conservation laws with boundary and source controls
Fabio Ancona, Khai T. Nguyen
We provide global and semi-global controllability results for hyperbolic conservation laws on a bounded domain, with a general (not necessarily convex)flux and a time-dependent sou…