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Claudio Muñoz's homepage

CMM 25 years

Welcome to Claudio Muñoz's Homepage

Professor at Departamento de Ingeniería Matemática (DIM), Universidad de Chile

Principal Investigator of the Center for Mathematical Modeling (CMM)

Chargé de Recherche CNRS (on leave)

cmunoz at dim dot uchile dot cl

Google Scholar - ResearchGate

ORCID ID 0000-0002-9029-2005

Postal Address: Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile Beauchef 851, Torre Norte, Piso 5, Santiago, Chile. Phone: (+56)(2) 2978 0737

I obtained my PhD in Mathematics in 2010 at the University of Versailles Saint-Quentin, under the advise of Yvan Martel and Frank Merle. Carlos Kenig was my postdoctoral mentor, during 2011-2013. Previously, Manuel del Pino was my undergraduate advisor at the U. of Chile. Since 2013 I am Chargé de Recherche CNRS (on leave), and since 2020 I am Full Professor at DIM-CMM.

I am interested in Nonlinear dispersive equations, in particular: collisions, well-posedness, stability and asymptotic stability of kinks and solitons, integrability and blow-up, and more recently, inverse problems, synergies between PDEs and number theory problems and the mathematics of deep neural networks in PDEs. 

Movement of 2D circles under the complex-valued PDE Xi flow (with F. Poblete and V. Salinas)

NEWS!

A proof of local decay in Nonlinear Dirac models: Decay of solutions of nonlinear Dirac equations, (with S. Herr and C. Maulén) arXiv:2503.05410 (2025).

Our first contribution in Fondecyt Exploración ANID has been recently published: The Generalized Riemann Zeta Heat Flow (with V. Castillo, F. Poblete, and V. Salinas), J. Funct. Anal. 288 (2025), no. 10, Paper No. 110879. 11. arXiv:2402.10154.

Primer Simposio PDEs y NT (2023)

Segundo Simposio PDEs y NT (2024)

Tercer Simposio PDEs y NT (2025)

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