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)
[Test II – problems] [Test 2 – P1 solved by A. Skoczypiec] [Test 2 – P2 solved by T. Pniewski] [Test 2 – P3 solved by M. Pańtak]

Exam:

26 January, 14:00-17:00, room 0.06
Note: We are planning to announce the results on Thursday evening.

Oral exam:

30 Jan & 3, 4, 5 Feb; 8:00-12:00, room 5.10 (5th floor) [List of questions]



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)
[Sheet 6] (due 27 Nov)
[Sheet 7] (due 04 Dec) [S7P1 solved]
[Sheet 8] (due 11 Dec)[S7P1 solved]
[Sheet 9] (revised; due 18 Dec)
[🎁 🎄 Christmas Sheet 🎁 🎄] (optional; due 8 Jan)
[Sheet 10] (due 15 Jan)
[Sheet 11] (not graded, for training)

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)
Solution of the Hadamard-Rybczyński problem by Philipp Erni, MIT