Graduate Courses

Topics related to vortex rings with Vladimir Sverak 

Vanishing viscosity may prevent inviscid dissipation  with Helena Nussenzeig-Lopes 

Global existence and finite time singularities in fluid mechanics  with Javier Gomez-Serrano  

Lagrangian chaos and almost-sure mixing in stochastic fluid mechanics with Jacob Bedrossian

Large time behavior of Navier-Stokes flows with  Lorenzo Brandolese

Navier-Stokes Equations in non-smooth domains with  Sylvie Monniaux

A Strategy for solving the Millenium Prize problem with Tsuyoshi Yoneda

Finite Element Methods with Tulin Kaman

• The Finite Element Method: Theory, Implementation, and Applications by M. G. Larson, F. Bengzon

• Direct Methods for Sparse Linear Systems by T. Davis.

• Matrix Computations, 4th edition, by G.H. Golub and C. Van Loan.

• Iterative methods for sparse linear systems by Y. Saad. 

Directed Reading on Navier-Stokes with  Zachary Bradshaw

• • Navier-Stokes Equations: Theory and Numerical Analysis by Roger Temam

  • Lectures on the Navier-Stokes Equations by Tai-Peng Tsai

Scientific Computation with Tulin Kaman

• • A First Course in Numerical Methods by Ascher, Greif

  • Scientific Computing with MATLAB and Octave by Quarteroni, Saleri, Gervasior

Directed Reading on Functional Analysis with  Zachary Bradshaw

• • Real Analysis: Modern Techniques and Their Applications by G. Folland

  • Topics in Functional Analysis and Applications by S.  Kesavan

Partial Differential Equations with Phil Harrington from Partial Differential Equations by Evans

Real Variables with Zachary Bradshaw from Real Analysis by Royden.