Existence and uniqueness of the solutions to convection-diffusion equations
Analysis of PDEs
2023-11-10 v2
Abstract
In this work, we study convection-diffusion equations in the cases of bounded drifts and drifts induced by the gradient of a potential. We define a new notion of solution and prove its existence and uniqueness. Furthermore, we show the conservation of mass, the convergence to the initial data, and the strong maximum principle.
Keywords
Cite
@article{arxiv.2310.20269,
title = {Existence and uniqueness of the solutions to convection-diffusion equations},
author = {Alireza Ataei},
journal= {arXiv preprint arXiv:2310.20269},
year = {2023}
}