Anomalous Diffusion in Prats' Problem

Published:Dec 31, 2025 10:33
1 min read
ArXiv

Analysis

This paper revisits a classic fluid dynamics problem (Prats' problem) by incorporating anomalous diffusion (superdiffusion or subdiffusion) instead of the standard thermal diffusion. This is significant because it alters the stability analysis, making the governing equations non-autonomous and impacting the conditions for instability. The study explores how the type of diffusion (subdiffusion, superdiffusion) affects the transition to instability.

Reference

The study substitutes thermal diffusion with mass diffusion and extends the usual scheme of mass diffusion to comprehend also the anomalous phenomena of superdiffusion or subdiffusion.