Strain Induced Slowdown of Front Propagation in Random Shear Flow via Analysis of G-equations

TL;DR

This paper demonstrates that in a 2D random shear flow, the strain term in the G-equation model slows down front propagation, and it improves upon previous results by Armstrong-Souganidis.

Contribution

It provides a rigorous proof that strain reduces front speed in 2D random shear flows and enhances existing theoretical results.

Findings

Strain term decreases front propagation speed.

Improved theoretical bounds on front speed reduction.

Validates the impact of strain in G-equation models.

Abstract

It is proved that for the 2-dimensional case with random shear flow of the G-equation model with strain term, the strain term reduces the front propagation. Also an improvement of the main result by Armstrong-Souganidis is provided.