Grigory Isaakovich Barenblatt

Micromechanics and its applications to various branches of mechanics of solids and fluids. Mathematical models of various phenomena of fracture and fatigue. Mathematical models of fluid and gas flows in deformable porous and fissurized porous media. Non-equilibrium processes in fluid and gas flows in natural rocks. Michromechanical models of the deformation and fracture of polymers. Mathematical models of turbulence phenomena, including the transition to turbulence and the turbulence in statified flows. The laws of turbulent motion at large Reynolds numbers (developed turbulence), in particular in pipes, jets, boundry layers and mixing layers. Self-similarities (self-similar solutions, self-similar processes) in various branches of mathematical physics and contimuum mechanics. Intermediate asymptotics, incomplete similarity. Mathematical theory of combustion, theory of thermal explosion. Mathematical models of thin film flows on the solid surfaces.