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Personal Profile of Prof. Yann Brenier

Prof. Yann Brenier

École Polytechnique

• Talks

1. November 26, 2013 (11:00 AM PST - 12:30 PM PST)

   Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

2. November 21, 2013 (11:00 AM PST - 12:30 PM PST)

   Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

3. November 19, 2013 (11:00 AM PST - 12:30 PM PST)

   Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

4. November 14, 2013 (11:00 AM PST - 12:30 PM PST)

   Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

5. November 12, 2013 (11:00 AM PST - 12:30 PM PST)

   Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

6. November 07, 2013 (11:00 AM PST - 12:30 PM PST)

   Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

7. November 05, 2013 (11:00 AM PST - 12:30 PM PST)

   Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

8. October 31, 2013 (11:00 AM PDT - 12:30 PM PDT)

   Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

9. October 29, 2013 (11:00 AM PDT - 12:30 PM PDT)

   Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

10. October 24, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

11. October 22, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

12. October 14, 2013 - October 18, 2013

    Workshop Fluid Mechanics, Hamiltonian Dynamics, and Numerical Aspects of Optimal Transportation

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    Oct 14, 2013 Monday

    03:30 PM - 04:30 PM   Level set volume preserving diffusions Yann Brenier (École Polytechnique) Location MSRI: Simons Auditorium Video Abstract We discuss diffusion equations that are constrained to preserve the volume of each level set during the time evolution (which excludes the standard heat equation). We consider, in particular, the gradient flow of the Dirichlet integral under suitable volume-preserving transportation metrics. The resulting equations are non-linear and very degenerate, admitting as stationary solutions all scalar functions which are functions of their own Laplacian. (In particular, in 2D, all stationary solutions of the Euler equations for incompressible fluids.) We relate them to both combinatorial optimization and linear algebra, through the quadratic assignmemt problem (a NP combinatorial optimization problem including the travelling salesman problem) and the Brockett-Wegner diagonalizing flow for linear operators. For these equations, we provide a concept of "dissipative solutions" that exist globally in time and are unique as long as they stay smooth, following some works of P.-L. Lions (for the Euler equations) and Ambrosio-Gigli-Savare (for the heat equation in metric spaces). Supplements Brenier 994 KB application/pdf Show Detail

13. October 10, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

14. October 08, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

15. October 03, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

16. October 01, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

17. September 26, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

18. September 24, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

19. September 19, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

20. September 17, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

21. September 12, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

22. September 10, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

23. September 05, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES

24. September 03, 2013 (11:00 AM PDT - 12:30 PM PDT)

    Seminar Chancellor's Lecture - Topics in Analysis: Hidden convexity in nonlinear PDES