Heat flow with thermal metamaterials
Résumé
Analogies between thermal diffusion and optical propagation in metal optics [1] allowed
to generalize transformation optics [2,3] to the field of thermal [4-7], hence expanding
cloaking and mimicking principles to thermodynamics. As a result, thermal metamaterials
supported on homogenization techniques have been emphasized for the management
of heat flow.
In this talk we first present our recent work on thermal metamaterials, including theoretical,
numerical and technological aspects. Realistic applications are discussed within
the framework of given objects to cloak or mimic. Heat conduction and thermal radiation
are considered.
The second part of the talk concerns the design of metamaterials. Homogenization and
singular perturbations problems in stratified media have been studied in [8,9]. These results
are revisited and extended in the setting of both the heat equation and the equations
of linear elasticity.