Hydrodynamics & Elasticity 2025/2026

Spreading of a surfactant over a thin liquid film on a silicon wafer. Authors: A. Darhuber, B. Fischer and S. Troian, Princeton U.

Maciej Lisicki & Piotr Szymczak (lecturers)
Rafał Błaszkiewicz & Agnieszka Makulska (classes & homeworks)

Lectures (ML & PS): Tuesdays 13:15 – 16:00, room B0.14
Tutorials (ML & PS & RB): Thursdays 9:15 – 12:00, rooms 2.24 (group A, RB) and 2.06 (group B, ML & PS)
Homeworks: Agnieszka Makulska

Rules of course completion

  • At least 50% of the points combined from:
    • Homeworks – weight 20%
    • Test 1 – weight 40%
    • Test 2 – weight 40%
  • At least 50% of the points from the written exam.
  • The final score (point count) for the written part will be calculated as a weighted average of tests and homework (50%) and the written exam (50%).
  • Oral exam -> grade.

Test 1:

13 November (Thursday with a Monday schedule at FUW), 8:00-12:00, room B0.14
[Test 1 – problems] [Test 1 – P1 solved by M. Pawlus] [Test 1 – P2 solved] [Test 1 – P3 solved by D. Bugajewski]

Test 2:

16 December (Tuesday, during lecture)
Exam: TBD



Homework assistant: Agnieszka Makulska
Please get in touch with Agnieszka if you have any queries regarding homework, grading, and solutions at Agnieszka.Makulska [at] fuw.edu.pl

Homework problems:
[Sheet 1] (due 16 Oct)
[Sheet 2] (due 23 Oct)
[Sheet 3] (due 30 Oct) [S3P1 solved]
[Sheet 4] (due 06 Nov)
[Sheet 5] (due 20 Nov)

Additional materials:
Isotropic tensors of rank 1, 2, 3, 4, 5, ... – Elliot A. Kearsley
Gauss' theorem for arbitrary tensor fields
Differential operators in curvilinear coordinates
Navier-Stokes eqs. and operators in curvilinear coordinates (in Polish, but evident)

    Recommended reading
  • B. Lautrup, Physics of Continuous Matter, IoP Publishing (2005).
  • L.D. Landau, E.M. Lifshitz, Hydrodynamics
  • L.D. Landau, E.M. Lifshitz, Theory of Elasticity
  • S.C. Hunter, Mechanics of Continuous Media, Ellis Horwood Ltd. (1976).
  • D.J. Acheson, Elementary Fluid Dynamics, Oxford Univ. Press (1999).
  • National Committee for Fluid Mechanics Films.