Boundary layer variational principles: A case study

TL;DR

This paper investigates the structure of entropy production minima in boundary layers for heat conduction modeled by Grad's moment equations, proposing variation principles for boundary condition problems in nonequilibrium thermodynamics.

Contribution

It introduces new variation principles for boundary conditions based on entropy production minima, highlighting a crossover in the boundary layer structure.

Findings

Identified a crossover in entropy production minima structure.

Formulated and compared new variation principles.

Enhanced understanding of boundary layer behavior in nonequilibrium thermodynamics.

Abstract

Considering the model heat conduction problem in the setting of Grad's moment equations, we demonstrate a crossover in the structure of minima of the entropy production within the boundary layer. Based on this observation, we formulate and compare variation principles for solving the problem of boundary conditions in nonequilibrium thermodynamics.