Thermal physics and theoretical heat engineering, the application of the theory of fractals, size effects, nanocluster systems.

1. Gavasheli D.Sh., Rekhviashvili S.Sh., “Teplovoe razrushenie fraktalnykh nanostruktur pod deistviem impulsnogo lazernogo izlucheniya”, Nano- i mikrosistemnaya tekhnika, 2011, № 8, 36–40
2. S. Sh. Rekhviashvili and D. Sh. Gavasheli, “On the radiation of a dielectric fractal cluster”, Phys. Solid State, 53:9 (2011), 1822–1826    
3. S.Sh. Rekhviashvili, D.Sh. Gavasheli, “Modeling of Laser Pulse Heating of Solid Dielectric with a Fractal Structure”, http://article.sapub.org/10.5923.j.ajcmp.20120202.03.html, American Journal of Condensed Matter Physics, 2:2 (2012), 53–56

• Institute of Applied Mathematics and Automation, Nalchik