Timofey Shilkin
Laboratory of Mathematical Physics
St.Petersburg Branch of V.A. Steklov Institute of Mathematics
Fax: +7 (812) 3105377
Email: shilkin [at] pdmi [dot] ras [dot] ru or sngshilkin [at] yandex [dot] ru
URL: http://www.pdmi.ras.ru/~shilkin
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Teaching at SPbSU, Department of Mathematics and Computer Science:
Syllabus of my special courses (for prospective students):

Mathematical Foundations of Quantum Mechanics: pdf

Mathematical Theory of the NavierStokes Equations: pdf

First Order PDEs and the Euler Equations: pdf
Lecture notes (NavierStokes Equations, Spring 2022): pdf
List of questions for the midterm test and the final exam (new!!!)
: pdf
Attestation rules: pdf
Some auxiliary course materials:

for Chapter 1: Banach spacevalued functions and functional analysis. pdf

for Chapter 2: Initialboundary value problems for parabolic equations. pdf

for Chapter 3: Properties of solutions of parabolic equations. pdf

for Chapter 4: Divergence free vector fields and the linear Stokes problem. pdf

for Chapter 5: Weak LerayHopf solutions. pdf

for Chapter 6: Strong solutions and the Millenium problem. pdf
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