Pointwise Structures and Background Perturbation Analyses for Thermal Non-equilibrium Irrotational Flows in Three Space Dimensions
Year: 2026
Type: preprint
Abstract: In this paper, both the pointwise space-time structures of the solution for a three-dimensional model describing gas dynamics in thermal non-equilibrium and the corresponding background stabilities within the $L^p$ framework are investigated under the small initial perturbation assumption and the irrotationality condition. Our main tools are the modified Green's function according to the irrotationality condition, a priori energy method and a refined decay estimates of products composed of the entropy function and high-order derivatives.
Source: arXiv (Cornell University)
Authors: Deng, Shijin, Yang, Xiaochun
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221088340