| Lecturer | Pierre-Louis Lions |
|---|---|
| Dept. | Collège de France |
| date | Sep 04, 2012 |
In this talk, we shall first present several examples of numerical simulations of complex industrial systems. All these simulations rely upon some mathematical models involving Partial Differential Equations and we shall briefly explain the nature, the history and the role of such equations. Then, some examples showing the importance of the mathematical analysis (i.e. “understanding”) of those models will be presented, and we shall conclude indicating a few trends and perspectives.
On some nonlinear elliptic problems
On Ingram’s Conjecture
On function field and smooth specialization of a hypersurface in the projective space
On circle diffeomorphism groups
Number theoretic results in a family
Normal form reduction for unconditional well-posedness of canonical dispersive equations
Nonlocal generators of jump type Markov processes
Noncommutative Surfaces
Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry
Non-commutative Lp-spaces and analysis on quantum spaces
Noise-induced phenomena in stochastic heat equations
Mixing time of random processes
Mixed type PDEs and compressible flow
Mirror symmetry of pairings
Mechanization of proof: from 4-Color theorem to compiler verification
Maximal averages in harmonic analysis
Mathematics, Biology and Mathematical Biology
Mathematical Models and Intervention Strategies for Emerging Infectious Diseases: MERS, Ebola and 2009 A/H1N1 Influenza
Mathematical Analysis Models and Siumlations
Mathemaics & Hedge Fund
