On the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data
Year: 2026
Type: preprint
Abstract: We consider the optimal decay rate of global solutions to the convection-diffusion equation with zero-mass initial data. We establish an improved decay estimate of the global solutions under the zero-mass condition. Moreover, we derive a self-similar asymptotic profile of the global solutions. This result shows that the improved decay rate is optimal and provides a necessary and sufficient condition for attaining this decay rate.
Source: arXiv (Cornell University)
Authors: Huang, Yi C., Kusaba, Ryunosuke
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7167575691