Modern Fluid Mechanics: From viscous electronics in graphene to conformal invariance and anomalies in turbulence
Gregory Falkovich, Weizmann Institute of Science http://www.weizmann.ac.il/complex/falkovich/
This introductory course is intended for those who does not know the subject and for those who think they do.
First lecture, April 05, Wednesday 11:00, rm 313
(schedule of subsequent lectures by agreement)
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.
Instabilities, laminar-turbulent transition in linearly unstable and stable systems, new concept of probabilistic transition.
Turbulence in one and three dimensions and the first anomaly in physics. Anomalous scaling and statistical conservation laws (zero modes).
Turbulence in two dimensions, mysterious conformal invariance.
The course is based on the book http://www.weizmann.ac.il/complex/falkovich/fluid-mechanics
Those asked best questions will get the book as a present.