VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.

401-5006-22L 2 Credits DR D-MATH

New and Classical Perspectives on Hydrodynamic Stability

Lecturers & Examiners: Prof. Dr. Jacob Bedrossian
Only for ETH D-MATH doctoral students and for doctoral students from the Institute of Mathematics at UZH. The latter need to register the course unit via the Registrar's Office ( ).
VVZ CR n/a

Last Updated: 2026-02-05 16:07:27

Abstract

Nachdiplom lecture

Content

Despite dating back to the mid-​1800s the field of hydrodynamic stability is not only surprisingly vast and varied but has undergone many significant shifts and is in a phase of rapid expansion in mathematics. In these lectures we will discuss the relationship between new and classical perspectives on hydrodynamic stability and provide an introduction to recent advances and to outstanding open problems. The focus will be specifically on the linear and nonlinear dynamics near simple solutions (shear flows and vortices) of the incompressible Navier-​Stokes in the high Reynolds number limit in two and three dimensions. This course will assume familiarity with PDEs and functional analysis, but no prior experience with the Navier-​Stokes or Euler equations will be assumed. Exposure to the spectral theory of unbounded operators would be helpful but will not be assumed.

General Information

Language
English
Levels
DR

Examination

Type
ungraded semester performance

Registration & Places

Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type Title Time & Place Hours
lecture New and Classical Perspectives on Hydrodynamic Stability
  • Wed 10:15-12:00 (HG G 43)
  • 08.04 Date 10:15-12:00 (HG G 43)
  • 29.04 Date 10:15-12:00 (HG G 19.2)
  • 06.05 Date 10:15-12:00 (HG G 43)
  • 27.05 Date 10:15-12:00 (HG G 43)
2 h weekly

Offered In

  • Doctorate Mathematics (More Information at: )
    • Subject Specialisation (The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM.)
      • Graduate School (Official website of the Zurich Graduate School in Mathematics: In addition to the 401-....-DRL course units, adapted versions for doctoral students of the following course units: 263-4400-00L Advanced Graph Algorithms and Optimization 401-3902-21L Network & Integer Optimization: From Theory to Application 401-3904-22L Convex Optimization 401-3629-00L Quantitative Risk Management 401-3652-00L Numerical Methods for Hyperbolic Partial Differential Equations 151-0530-00L Nonlinear Dynamics and Chaos II 227-0434-10L Mathematics of Information 401-4490-22L Topology Optimization of Engineering Systems ... (continued ))