Year: 2020
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Nariyoshi, João Fernando
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G177647291, G5632639987
OpenAlex ID: W3106798418