Display Abstract

Title A Linearized Model for Compressible Flow past a Rotating Obstacle

Name Reinhard Farwig
Country Germany
Email farwig@mathematik.tu-darmstadt.de
Co-Author(s) Milan Pokorny
Submit Time 2014-02-18 12:31:00
Session
Special Session 78: The Navier-Stokes equations and related problems
Contents
Consider the flow of a compressible Newtonian fluid around/past a rotating obstacle in $\mathbb R^3$. After a coordinate transform to get a problem in a time-independent domain we assume the new system to be stationary, then linearize and use Fourier transform to find an explicit solution and estimates in $L^q$-spaces. However, in contrast to the incompressible case with multipliers based on the heat kernel the new multiplier functions are of a very different type...