2 papers
math.PR2022
The zero-noise limit of SDEs with drift
Ulrik Skre Fjordholm, Markus Musch, Andrey Pilipenko
We study the zero-noise limit for autonomous, one-dimensional ordinary differential equations with discontinuous right-hand sides. Although the deterministic equation might have in…
math.NA2021
Well-posedness theory for nonlinear scalar conservation laws on networks
Ulrik Skre Fjordholm, Markus Musch, Nils Henrik Risebro
We consider nonlinear scalar conservation laws posed on a network. We establish stability, and thus uniqueness, for weak solutions satisfying the entropy condition. We apply…