Enhanced dissipation by advection and applications to PDEs

A. L. Mazzucato; Y. Feng; C. Nobili

doi:10.1016/j.apm.2025.116310

Enhanced dissipation by advection and applications to PDEs

A. L. Mazzucato
, Y. Feng
, C. Nobili

Research output: Contribution to journal › Article › peer-review

Abstract

This survey provides a concise yet comprehensive overview on enhanced dissipation phenomena, transitioning seamlessly from the physical principles underlying the interplay between advection and diffusion to their rigorous mathematical formulation and analysis. The discussion begins with the standard theory of enhanced dissipation, highlighting key mechanisms and results, and progresses to its applications in notable nonlinear PDEs such as the Cahn-Hilliard and the Kuramoto-Sivashinsky equations.

Original language	English (US)
Article number	116310
Journal	Applied Mathematical Modelling
Volume	150
DOIs	https://doi.org/10.1016/j.apm.2025.116310
State	Published - Feb 2026

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Applied Mathematics

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10.1016/j.apm.2025.116310

Cite this

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Enhanced dissipation by advection and applications to PDEs

Abstract

All Science Journal Classification (ASJC) codes

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