3 papers
math.AP2025
Stochastic perturbation and zero noise limit for scalar conservation laws
Ulrik S. Fjordholm, Magnus C. Ørke
Scalar conservation laws sit at the intersection between being simple enough to study analytically, while being complex enough to exhibit a wide range of nonlinear phenomena. We in…
math.PR2025
Stochastic flows for Hölder drifts and transport/continuity equations with noise
Magnus C. Ørke
We prove existence of a stochastic flow of diffeomorphisms generated by SDEs with drift in for any and . This result is achieved…
math.AP2023
The particle paths of hyperbolic conservation laws
Ulrik S. Fjordholm, Ola H. Mæhlen, Magnus C. Ørke
Nonlinear scalar conservation laws are traditionally viewed as transport equations. We take instead the viewpoint of these PDEs as continuity equations with an implicitly defined v…