Relaxation of certain integral functionals depending on strain and chemical composition
Ana Margarida Ribeiro, Elvira Zappale
TL;DR
This paper establishes a relaxation result for integral functionals depending on strain and chemical composition in the space of functions of bounded variation and L^q spaces, aiding the analysis of thermochemical equilibria.
Contribution
It introduces a relaxation framework for integral functionals in BV and L^q spaces, advancing the mathematical understanding of thermochemical equilibrium models.
Findings
Provides a relaxation result in BV × L^q spaces
Lays groundwork for thermochemical equilibrium analysis
Enhances mathematical tools for variational problems
Abstract
We provide a relaxation result in , as a first step towards the analysis of thermochemical equilibria.
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Taxonomy
TopicsElasticity and Material Modeling · Chemical Thermodynamics and Molecular Structure · Gas Dynamics and Kinetic Theory