Navier-Stokes Equations

Introduction and summary.- Equations of classical hydrodynamics.- Mathematical preliminaries.- Stationary solutions of the Navier-Stokes equations.- Stationary solutions of the Navier-Stokes equations with friction.- Stationary flows in narrow films and the Reynolds equation.- Autonomous two-dimensional Navier-Stokes equations.- Invariant measures and statistical solutions.- Global attractors and a lubrication problem.- Exponential attractors in contact problems.- Non-autonomous Navier-Stokes equations and pullback attractors.- Pullback attractors and statistical solutions.- Pullback attractors and shear flows.- Trajectory attractors and feedback boundary control in contact problems.-Evolutionary systems and the Navier-Stokes equations.- Attractors for multivalued processes in contact problems.- References.- Index.

Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.

• Ciência não-linear
• Cálculo diferencial e equações
• Análise numérica
• Mecânica dos fluidos

Navier-Stokes equations;Navier-Stokes equations;pullback attractors;trajectory attractors;classical hydrodynamics;2D Navier-Stokes equations;dynamic motion of incompressible fluids;mathematical physics;partial differential equations;ordinary differential equations