Fluids Under Pressure

This contributed volume is based on talks given at the August 2016 summer school “Fluids Under Pressure,” held in Prague as part of the “Prague-Sum” series. Written by experts in their respective fields, chapters explore the complex role that pressure plays in physics, mathematical modeling, and fluid flow analysis. Specific topics covered include:Oceanic and atmospheric dynamicsIncompressible flowsViscous compressible flowsWell-posedness of the Navier-Stokes equationsWeak solutions to the Navier-Stokes equationsFluids Under Pressure will be a valuable resource for graduate students and researchers studying fluid flow dynamics.

Primitive Equations for Oceanic and Atmospheric Dynamics.- Viscous Compressible Flows under Pressure.- Global Well-posedness for Incompressible-Incompressible Two Phase Problem.- The Role of Pressure in the Theory of Weak Solutions to the Navier-Stokes Equations.- Pressure Dependent Material Coefficients.- FE Pressure Stabilizations for Incompressible Flow Problems.- Finite-Volume Methods for Navier-Stokes Equations.