Mathematical physics analysis of surface heating and modification during laser treatment of materials (survey)

The development of investigations of solid body surface modification processes proceeds in the direction of detailing the physical pattern of the phenomenon, the introduction of additional factors into the computational scheme, and the development of adequate mathematical methods. Coefficients here often appear in the theory whose determination can be an independent problem. More complicated models describe the process more exactly but their application is fraught with known difficulties. A sufficiently complete investigation can be performed for a combination of relatively simple approximate analytic solutions and detailed numerical computations for the most important particular cases.