Towards systematic approach to boundary conditions in mixture and multiphasic incompressible models: Maximum Entropy principle estimate

The single continuum model formulation, no matter how complex the considered constitutive relations are, cannot describe important phenomena stemming from constituents’ interactions. In contrast, mixture theory is a successful framework for providing thermodynamically consistent governing equations in the bulk allowing for the inclusion of details in the material structure and interactions. Despite its ubiquitous applications, a fundamental open problem, a framework for the assessment of boundary conditions, persisted.