Mathematical Topics in Fluid Mechanics and Applications

Ugo Gianazza, Professor of Mathematics at the University of Pavia and former director of the Department of Mathematics is giving an advanced, postgraduate course on the Mathematics of Fluid Mechanics and its Applications in College starting on March 20th and continuing twice a week (Monday and Thursday) at 6.00 pm in Seminar Room 1 until the end of May. College students enrolled in MSc or PhD Courses in Mathematics, Physics, Engineering and Chemistry are welcome to join this lecture series.  The main topics covered by the course are listed below:

[1] Physics of the Navier-Stokes Equations
[2] Preliminary Analytical Tools
[3] Time-Dependent Navier-Stokes Equations in Bounded Domains
[4] Proof of the Leray-Hopf Existence Theorem
[5] Higher Integrability and Consequences
[6] Recovering the Pressure
[7] A Short Introduction to Partial Regularity
[8] Applications and Open Problems

The poster of the course is available here. The lecture notes of the course are available here.

Image: Courtesy of the University of Minnesota (https://cse.umn.edu/math/mathematical-fluid-mechanics)

 

 

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