Thermal Transmission Problems in Film–Bulk Domains

Introduction

Thermal transmission phenomena often involve the interaction between a bulk domain and a thin
layer whose thickness is significantly smaller than the characteristic dimensions of the system. Such
configurations arise in several engineering applications, including coatings, multilayer structures,
and thermal processes characterized by localized heat transfer.
Research activities focus on the mathematical modeling and analysis of heat transfer in film–bulk
domains, with particular attention to the derivation of effective thin-film descriptions from finite-
thickness thermal models.

Goal

The main objective of this research activity is the development of reduced-order models for thermal
transmission problems involving thin layers and interfaces. Particular attention is devoted to the
derivation of effective bulk–interface formulations capable of reproducing the thermal behavior of
finite-thickness films while reducing model complexity.
Current activities address the mathematical analysis of the resulting models, including well-
posedness, asymptotic thin-film limits, and validation through analytical and numerical
investigations. Future developments will explore applications to additive manufacturing processes
and architected materials.