Partial Differential Equations and Applications

Emplacement

LANZHOU
,
Chine

Dates

à

Présentation

The topics of this school are related to nonlinear analysis and asymptotic analysis of partial differential equations arising from geometry and physics. They include: KAM theory of infinite dimensional dynamic system and applications in PDE, critical blow-up of nonlinear Schrodinger equation, integral system and variational methods in differential geometry , semi-classical analysis and theory of resonances of Schrodinger equation. The objective of these mini-courses at the level of French DEA is to introduce moden tools and present recent progesses in these fields.

Coordinateurs administratifs et scientifiques

Chengkui Zhong (Univ. of Lanzhou,
Chine
, )
Xue-Ping Wang (Univ. de Nantes,
France
,
wang@math.univ-nantes.fr
)

Programme scientifique

Cours 1: "Infinite dimensional Hamiltonian system and PDE ", Benoît Grébert (Université de Nantes, France)

Cours 2: "Large time behavior in perfect incompressible flows ", Dragos Iftimie (Université de Lyon 1, France)

Cours 3: "Some limiting situations with semilinear elliptic equations ", Dong Ye (Université de Cergy-Pontoise, France)

Cours 4: "Integral systems in differential geometry ", Frédéric Hélein (Université Paris 7, France)

Cours 5: "Tools for semi-classical analysis ", Tools for semi-classical analysis

Cours 6: "Time quasi-periodic solutions for nonlinear Schroedinger equations", Wei-Min Wang (CNRS, Université d'Orsay, France)

Cours 7: "Semi-classical measure and the Helmholtz equation", Xue-Ping Wang (Université de Nantes, France)

Site internet de l'école

http://www.cimpa-icpam.org/anciensite/Anglais/AnciensProg/2004/China1-04.html

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