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 dynamics
- Incompressible flows
- Viscous compressible flows
- Well-posedness of the Navier-Stokes equations
- Weak solutions to the Navier-Stokes equations
Fluids Under Pressure will be a valuable resource for graduate students and researchers studying fluid flow dynamics.
Table of Content
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.
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