# Compact course on compressible Navier-Stokes equations

Dates : 2 - 14 May, 2016 Venue : TIFR Center for Applicable Mathematics, Bangalore

## Speaker

Eduard Feireisl

Professor

Institute of Mathematics

Czech Academy of Sciences

Czech Republic

Eduard Feireisl is Professor of Mathematics in the Institute of Mathematics of the Czech Academy of Sciences. He is a renowned specialist in the mathematical theory of fluid dynamics whose expertise has been recognized by many awards, the latest being the Neuron Award for Contribution to Science.

## Objectives

The Navier-Stokes equations are an important model for many physical problems. The incompressible case is a well known open problem for proving existence and uniqueness of solutions as exemplified by the Clay Millennium Prize. The case of compressible flows is equally interesting from a mathematical point of view and also has wide applications like in Aerospace industry. This compact course is aimed towards introducing the mathematical theory of compressible Navier-Stokes equations and also their numerical approximations.

## Course contents

The lectures will be based on the upcoming book Eduard Feireisl, T. Karper, M. Pokorny: MATHEMATICAL THEORY OF COMPRESSIBLE VISCOUS FLUIDS, Springer.

- A short introduction to mathematical fluid mechanics
- Weak vs. strong solutions to field equations
- Underlying physical principles and constitutive equations
- Basic problems to be addressed by the mathematical theory
- Sketch of the proof of existence of global-in-time solutions
- Numerical schemes and applications
- Discussion of more complex problems.

## Pre-requisites

The audience should be familiar with Sobolev spaces, general theory of PDE's and, ideally, must know something about fluid flow modeling (Navier-Stokes).

## Who can apply ?

The course is open to PhD research scholars, post-docs, faculty and scientists working in mathematics, physics and engineering departments. Preference will be given to those working in Navier-Stokes equations.

## How to apply ?

Selection will be made based on your CV and research interests. Please send your latest CV and also ask your advisor to send a recommendation letter to cns2016@tifrbng.res.in

Deadline for application |
25 March, 2016 |

Announcement of selected participants |
28 March, 2016 |

## Support

All selected outstation participants will be paid III AC return train fare from their place of study/work to Bangalore. Boarding and lodging in shared accommodations in the hostel will be provided to outstation participants for the period of the workshop.

## Organizing Committee

- Praveen Chandrashekar
- G. D. Veerappa Gowda
- Mythily Ramaswamy

## Supported by

- TIFR Centre for Applicable Mathematics, Bangalore
- Airbus Chair on Mathematics of Complex Systems, TIFR-CAM, Bangalore