Courses

In 2019:

March-June: Fluid Dynamics

Tue, Wed 13:30-15:00, room 333

  1. Exercises (for Tue - April 2): see page 23 of Part1

Recommended literature: 

ACHESON, D. J. – Elementary Fluid Dynamics, Oxford University Press, 1990.
BATCHELOR, G. – An Introduction to Fluid Dynamics, Cambridge University Press, 1967.
CHORIN, A. J., MARSDEN, J. E. – A Mathematical Introduction to Fluid Mechanics, second edition, Springer-Verlag, 1990.
COURANT, R., FRIEDRICHS, K. O. – Supersonic Flow and Shock Waves, Springer-Verlag, 1976.
LANDAU L.D., LIFSHITZ, E.M. Fluid Mechanics. (Course of T.P., Vol.6).
WHITHAM, G. – Linear and Nonlinear Waves. New York, John Wiley, 1974.

 

January-FebruaryIntroduction to the Theory of Oscillations and Waves

  • Lecture notes: Part 1 [PDF in Portuguese], Part 2.2 [PDF in English], Part 3 [PDF in Portuguese, PDF in English]
  • Videos on YouTube (in Portuguese): Lecture 1 and full collection at "Cursos do IMPA" 

 

  1. Exercises (for Fri - 18/01),
  2. Exercises (for Wed - 30/01) - pages 54-55 in PDF of Part1.
  3. Exercises (for Wed - 6/02)
  4. Exercises (for Thu - 14/02)
  5. Exercises (for Fri - 22/02)

Some rather old notes

Exam questions with literature references 


Earlier:

Ordinary Differential Equations

Hydrodynamic Turbulence (reading course)

Spontaneous Stochasticity  (mini-course)

Bifurcations in ordinary differential equations

Fluid Dynamics

Introduction to the Theory of Oscillations and Waves

  • Lecture notes: Part 1 [PDF in Portuguese], Part 3 [PDF in Portuguese, PDF in English]
  • Videos on YouTube (in Portuguese): Lecture 1full collection at "Cursos do IMPA" 

Lectures on Boundaries of Stability Domains (mini-course)

Partial Differential Equations

Measure and Integration

Thermal Flow of Fluids

Stability and Catastrophes in Mechanical Systems

Introduction to the Lattice Boltzmann method for fluid dynamics (reading course)