COURSE GOALS:
The course objective is to introduce students to the basics of fluid dynamics, in the context of classical mechanics and statistical physics.
LEARNING OUTCOMES AT THE LEVEL OF THE PROGRAMME:
1 KNOWLEDGE AND UNDERSTANDING
1.2 demonstrate a thorough knowledge of advanced methods of theoretical physics including classical mechanics, classical electrodynamics, statistical physics and quantum physics
1.3 demonstrate a thorough knowledge of the most important physics theories (logical and mathematical structure, experimental support, described physical phenomena)
2 APPLYING KNOWLEDGE AND UNDERSTANDING
2.1 identify the essentials of a process/situation and set up a working model of the same or recognize and use the existing models
2.3 apply standard methods of mathematical physics, in particular mathematical analysis and linear algebra and corresponding numerical methods
2.4 adapt available models to new experimental data
4 COMMUNICATION SKILLS
4.2 present one's own research or literature search results to professional as well as to lay audiences
5 LEARNING SKILLS
5.1 search for and use physical and other technical literature, as well as any other sources of information relevant to research work and technical project development (good knowledge of technical English is required)
5.4 participate in projects which require advanced skills in modeling, analysis, numerical calculations and use of technologies
LEARNING OUTCOMES SPECIFIC FOR THE COURSE:
 Demonstrate understanding of the relationship between hydrodynamics, thermodynamics and statistical physics
 Demonstrate knowledge of mathematical methods used in hydrodynamics
 Demonstrate knowledge of conservation laws (for the mass, the momentum and the energy)
 Demonstrate ability how to use conservation laws to solve simple problems for ideal (hydrostatics, potential flow, incompressible fluids, Bernoulli's)
 Demonstrate ability to apply Eulers's equations to surface waves and to mathematical modeling of waves in shallow fluid limit (solitons)
 Demonstrate knowledge of equations governing viscous fluid (NavierStokes equation)
 Demonstrate understanding similarity law and the emergence of energy dissipation
 Demonstrate ability to examine the stability of the stationary motion
 Demonstrate knowledge of turbulent motion, and its emergence in the hydrodynamical problems
 Demonstrate knowledge of relationship between Lorenz attractors and hydrodynamics
COURSE DESCRIPTION:
 Introduction to hydrodynamics (hydrodynamics, thermodynamics and statistical physics)  2 + 1 hour
 The mathematical description of fluid  2 + 1 hour
 Conservation laws  5 + 2 hours
 Ideal fluid  6 + 3 hours
 Surface waves and waves in shallow fluids  3 + 2 hour
 Viscous liquid  6 + 3 hours
 Turbulent fluid motion  6 + 3 hours
REQUIREMENTS FOR STUDENTS:
Students must attend to the lectures 70% minimum.
GRADING AND ASSESSING THE WORK OF STUDENTS:
Student receives a final grade based on the knowledge in the oral examination (2/3 of the total score) and the complexity and quality of the written essay (1/3 of the total score). The essay topic is previously agreed between student and professor

 L.D. Landau, E.M. Lifshitz: Fluid Mechanics
 E. Guyon, JP. Hulin, L. Petit, C.D. Mitescu: Physical Hydrodynamics
 G. B. Whitham: Linear and nonlinear waves
 A.J. Chorin, J.E. Marsden: A Mathematical Introduction to Fluid Mechanics
F. Kreith, S.A. Berger, et. al.: Fluid Mechanics
Prieve Dennis C.: A Course in Fluid Mechanics with Vector Field Theory
Y. Nakayama: Introduction to Fluid Mechanics
Frank M. White: Fluid Mechanics
