= Compact course on compressible Navier-Stokes equations =

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

||<:> '''[[attachment:Schedule-CNS2016.pdf | Schedule of lectures]]''' ||
||<:>  '''[[cns2016/Participants | List of selected participants]]'''  ||
||<:> {{attachment:IMG_1253.JPG||align="middle",width=800}}||

== Speaker ==
 {{attachment:feireisl.jpg||font-size="0.85em",line-height="1.25em",align="right",width=400}} 
[[http://www.math.cas.cz/homepage/main_page.php?id_membre=37 | Eduard Feireisl]] <<BR>>
Professor <<BR>>
Institute of Mathematics <<BR>>
Czech Academy of Sciences <<BR>>
Czech Republic 

Eduard Feireisl is Professor of Mathematics in the [[http://www.math.cas.cz | Institute of Mathematics]] of the [[http://www.cas.cz | 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 [[http://www.nfneuron.cz/en/scientists/laureates/2015/eduard-feireisl/ | 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