Lecturer(s)


Vodák Rostislav, RNDr. Ph.D.

Course content

1. NavierStokes equations. 2. Function spaces and basic inequalities. 3. Compensated compactness. 4. Existence and asymptotic behavior of solutions to the NavierStokes equations for compressible flow. 5. Energy inequality. 6. Classical solutions for small data.

Learning activities and teaching methods

Lecture
 Attendace
 26 hours per semester
 Preparation for the Exam
 35 hours per semester

Learning outcomes

Understand the mathematical tools of functional analysis for NavierStokes equations.
Application Apply the mathematical tools of functional analysis to NavierStokes equations.

Prerequisites

Understanding the mathematical tools of differential and integral calculus of functions of several variables, partial differential equations and function spaces.
KMA/PDR2

Assessment methods and criteria

Oral exam
Credit: active participation during seminars. Exam: the student has to understand the subject and be able to prove all theorems.

Recommended literature


A. Novotný, I. Straškraba. (2004). Introduction to the mathematical theory of compressible flow. Oxford: Oxford University Press.

E. Feireisl. (2004). Dynamics of viscous compressible fluids. Oxford: Oxford University Press.
