Mathematical modeling of anisotropic thermal protective coatings with respect to spatial nonlocal effects

This paper considers a nonlocal mathematical model of thermal conductivity of layered anisotropic coatings. Such coatings are widely used in various fields of engineering, for example, for the protection of spacecraft or aircraft engines. The use of anisotropic materials in combination with isotropic materials allows to reach acceptable temperature threshold values, which do not exceed the critical value. This opens up space for the study of various configurations of layered media. Consideration of spatial nonlocality in modeling allows us to analyze new configurations of layered anisotropic coatings, as it opens up opportunities for the use of nanostructured materials, for which classical models give unsatisfactory results. Mathematics Subject Classification (2010). Primary 80A19; Secondary 97M50.