An existence and homogenization results of degenerate parabolic sand problem transport equations with robin boundary condition

TL;DR

This paper investigates the mathematical properties of degenerate parabolic sand transport equations with Robin boundary conditions, establishing existence, uniqueness, and homogenization results to advance understanding of these complex models.

Contribution

It provides new existence, uniqueness, and homogenization results for degenerate parabolic sand transport equations with Robin boundary conditions.

Findings

Proved existence and uniqueness of solutions.

Established homogenization results for the models.

Presented corrector results to refine the analysis.

Abstract

This paper focuses on the theoretical study of degenerate parabolic sand transport equations in a non periodic domain with Robin boundary condition. We give existence and uniqueness results for the models which is also homogenized. Finally some corrector results are given