Table of contents

Transport equation and Cauchy problem for BV vector fields and applications

Talk no. 1, 11 p.
Canonical commutation relations and interacting Fock spaces

Talk no. 2, 13 p.
Décomposition des fonctions positives en sommes de carrés

Talk no. 3, 8 p.
The radiation condition at infinity for the high-frequency Helmholtz equation with source term: a wave packet approach

Talk no. 4, 18 p.
Problèmes mixtes hyperboliques bien-posés

Talk no. 5, 13 p.
Quelques modèles en médecine

Talk no. 6, 23 p.
On 2D Rayleigh-Taylor instabilities

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Talk no. 7, 10 p.
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach.

Talk no. 8, 17 p.
The Calderón problem with partial data

Talk no. 9, 9 p.
Vortex motion and phase-vortex interaction in dissipative Ginzburg-Landau dynamics

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Talk no. 10, 12 p.
Geometric renormalization of large energy wave maps

Talk no. 11, 32 p.
On the Global Existence of Weak Solutions to A Nonlinear Variational Wave Equation

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Talk no. 12, 12 p.
Control theory and high energy eigenfunctions

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Talk no. 13, 10 p.