Critical velocity averaging lemmas
Analysis of PDEs
2020-12-01 v1
Abstract
We prove new velocity averaging lemmas for multi-dimensional hyperbolic-parabolic partial differential equations. These theorems may be applied to establish several compactness results for both deterministic and stochastic convection-diffusion equations. Among the strengths of our theory is the criticality of the source term, which may include spatial derivatives of second order and stochastic noises.
Cite
@article{arxiv.2011.14023,
title = {Critical velocity averaging lemmas},
author = {João Fernando Nariyoshi},
journal= {arXiv preprint arXiv:2011.14023},
year = {2020}
}
Comments
42 pages