Modern Fluid Mechanics:

From viscous electronics in graphene to conformal invariance and anomalies in turbulence

Lecturer: Gregory Falkovich, Weizmann Institute of Science (gregory dot falkovich at weizmann dot ac dot il)

This introductory course is intended for those who do not know the subject and for those who think they do.

Syllabus:

Hydrodynamics as collective description, equations and conservation laws, added mass as the first renormalization in physics.
Ideal hydrodynamics and reversibility paradox, drag and quasi-momentum.
Aristotelian world of viscous flows, gauge theory and swimming bacteria, emerging viscous electronics in graphene.
Boundary layer and separation phenomenon, wake and finite drag and lift.
Instabilities, laminar-turbulent transition in linearly unstable and stable systems, new concept of probabilistic transition.
Turbulence and the first anomaly in physics. Anomalous scaling and statistical conservation laws. Turbulence in two dimensions, mysterious conformal invariance.
Acoustics, linear and nonlinear, Burgers equation. Linear and nonlinear waves, solitons and wave collapses.

The course is based on the book:

G. Falkovich Fluid Mechanics: A Short Course for Physicists (Cambridge University Press, 2011).

Prize for the best question! An author copy of the book will be given out as a present for the best question asked during the course.