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Extra Form
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.

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  1. Combinatorics and Hodge theory

  2. 허준이 교수 호암상 수상 기념 강연 (Lorentzian Polynomials)

  3. Algebraic surfaces with minimal topological invariants

  4. A wrapped Fukaya category of knot complement and hyperbolic knot

  5. Regularity of solutions of Hamilton-Jacobi equation on a domain

  6. What is Weak KAM Theory?

  7. Topological Mapping of Point Cloud Data

  8. Structures on Persistence Barcodes and Generalized Persistence

  9. Persistent Homology

  10. Irreducible Plane Curve Singularities

  11. 최고과학기술인상수상 기념강연: On the wild world of 4-manifolds

  12. Queer Lie Superalgebras

  13. Regularization by noise in nonlinear evolution equations

  14. A New Approach to Discrete Logarithm with Auxiliary Inputs

  15. Contact topology and the three-body problem

  16. Harmonic bundles and Toda lattices with opposite sign

  17. 07Nov
    by Editor
    in Special Colloquia

    Mathematical Analysis Models and Siumlations

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