diPerna-Lions theory 1mixing estimates 1passive scalar transport 1regularity propagation 1sobolev vector fields 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.AP2026
A Unified Approach to Mixing and Regularity for Passive Scalar Transport by Sobolev Vector Fields
Lucas Huysmans, Ayman Rimah Said
The paper introduces a framework for quantitative estimates of passive scalar transport driven by Sobolev vector fields, providing new stability, mixing, regularity, and convergenc…
math.AP2025
Mixing Estimates for Passive Scalar Transport by Vector Fields
Lucas Huysmans, Ayman Rimah Said
We prove a quantitative mixing estimate for the Cauchy problem for transport along divergence-free vector fields with bounded variation. By developing a framework that quantifies A…