2 papers
math.AP2026
Co-moving volumes and Reynolds transport theorem in DiPerna-Lions theory
Kohei Soga
Co-moving volumes and Reynolds transport theorem along a fluid flow are fundamental tools to derive balance laws in fluid mechanics, where the classical theory on flow maps of ODEs…
math.NA2022
Finite difference methods for linear transport equations
Kohei Soga
DiPerna-Lions (Invent. Math. 1989) established the existence and uniqueness results for linear transport equations with Sobolev velocity fields. This paper provides mathematical an…