CNRS Researcher

Université de Bordeaux

Institut de Mathématiques de Bordeaux

Institut de Mathématiques de Bordeaux UMR 5251

Office 168

351, cours de la Libération

33405 Talence

France

E-mail: christophe.prange arobase math.u-bordeaux.fr

ORCiD: https://orcid.org/0000-0002-3484-1874

Office 168

351, cours de la Libération

33405 Talence

France

E-mail: christophe.prange arobase math.u-bordeaux.fr

ORCiD: https://orcid.org/0000-0002-3484-1874

- Partial Differential Equations
- Homogenization and Multiscale Analysis
- Harmonic Analysis
- Boundary Layers
- Fluid Mechanics

Advisor: David Gérard-Varet

- PI of the Junior Project BORDS (Boundaries, Oscillations, layeRs in Differential Systems) funded by the ANR, 2017-2021
- PI of the Junior Chair BOLIDE funded by the IDEX Bordeaux, 2016-2019
- Expanded PDE Seminar (mini-course and seminar) funded by the Junior Chair BOLIDEThierry Gallay on October 11, 2016, Vincent Calvez on November 8, 2016, Arnaud Debussche on December 6, 2016, Jacques Smulevici on February 14, 2017, Isabelle Gallagher on March 28, 2017, Corentin Audiard and Christophe Besse on June 20, 2017, Mariana Haragus on January 30, 2018

- (with Tobias Barker) to appear in Arch. Ration. Mech. Anal. (2019)
- (with Tobias Barker) arXiv preprint (2018)
- (with Yasunori Maekawa and Hideyuki Miura) to appear in J. Math. Fluid Mech. (2019)
- (with Yasunori Maekawa and Hideyuki Miura) Comm. Math. Phys., 367(2), 517-580 (2019)
- (with Yasunori Maekawa and Hideyuki Miura) to appear in Analysis & PDE (2019)
- (with Scott Armstrong, Tuomo Kuusi and Jean-Christophe Mourrat) Arch. Ration. Mech. Anal., 226(2), 695-741 (2017)
- (with Carlos Kenig) J. Math. Pures Appl., 113, 1-36 (2018)
- (with Carlos Kenig) Arch. Ration. Mech. Anal., 216(3), 703-765 (2015)
- (with Didier Bresch) SIAM J. Math. Anal., 46(2), 1116-1159 (2014)
- (with Anne-Laure Dalibard) Analysis & PDE, 7-6, 1253--1315 (2014)
- SIAM J. Math. Anal., 45(1), 345-387 (2013)
- Asymptotic Analysis, 83(3), 207-235 (2013)

- Séminaire Laurent Schwartz-EDP et applications (2017-2018), Exp. No. 2, 18 p.
- Journées Equations aux Dérivées Partielles Exp. No. 7, 25 p. (2014)

- Homogenisation in Disordered Media, Durham, UK. In English. August 2018
- Kyoto University (Kyoto Top Global University Special Lectures), Japan. In English. December 2017

Lectures 1 and 2 on December 11, 2017 (numbers 243 and 244): "Compactness methods in homogenization''

Lectures 3 and 4 on December 11, 2017 (numbers 245 and 246): "Partial regularity for Navier-Stokes'' - Collège de France, PDE Seminar. In French. January 2017
- BIRS, Banff, Canada. In English. July 2015

- Small Scales and Homogenisation, Cardiff, UKJune 2019
- LAGA, Université Paris 13, France. Nonlinear PDE SeminarFebruary 2019
- Max Planck Institute MIS, Leipzig, Germany. Uni-MPI OberseminarNovember 2018
- Kolmogorov Days, Evry, FranceSeptember 2018
- Mathflows 2018, Porquerolles, FranceSeptember 2018
- Homogenisation in Disordered Media, Durham, UKAugust 2018

**Watch video** - University of Oxford, UK. PDE Lunchtime SeminarMay 2018
- Tokyo Institute of Technology, Japan. PDE SeminarDecember 2017
- University of Toulouse, France. MIP SeminarOctober 2017
- IHES, Paris, France. X-EDP SeminarOctober 2017
- SIAM Conference on Mathematical and Computational Issues in the Geosciences, Erlangen, GermanySeptember 2017
- ULB, Brussels, Belgium. Nonlinear Analysis and PDE seminar.March 2017
- Dynamics and PDEs, Saint-Etienne de Tinée, FranceJanuary 2017
- Collège de France, Paris, France. PDE SeminarJanuary 2017

**Watch video** - Aalto University, Finland. Analysis and Geometry SeminarDecember 2016
- University of Nice Sophia Antipolis, France. SingWave Analysis SeminarNovember 2016
- The University of Chicago, USA. Calderon-Zygmund Analysis SeminarOctober 2016
- Tokyo Institute of Technology, Japan. PDE SeminarSeptember 2016
- Second French-Korean Conference in Mathematics, University of Bordeaux, FranceJuly 2016
- University of Paris-Est, France. PDE SeminarMay 2016
- University of Cergy-Pontoise, France. Geometry, PDE and Mathematical Physics SeminarApril 2016
- Asymptotic Problems for Differential Equations and Viscosity Solutions, RIMS, Kyoto University, JapanDecember 2015
- University of Hiroshima, Japan. Applied Mathematics SeminarNovember 2015
- University of Lyon, France. Applied Mathematics SeminarNovember 2015
- University of Bordeaux, France. PDE SeminarNovember 2015
- Developments in the Theory of Homogenization, BIRS, Banff, CanadaJuly 2015

**Watch video** - Necas Center for Mathematical Modeling, Prague, Czech RepublicApril 2015
- University of Illinois at Chicago, USA. Applied Mathematics SeminarMarch 2015
- The University of Chicago, USA. Calderon-Zygmund Analysis SeminarFebruary 2015
- University of Cambridge, UK. GAPDE SeminarDecember 2014
- Homogenization and Random Phenomenon, Mittag-Leffler Institute, Stockholm, SwedenSeptember 2014
- Journées EDP 2014, Roscoff, FranceJune 2014
- University of Kentucky, USA. Analysis and PDE SeminarApril 2014

**Lecture 1:***Caccioppoli's inequality and applications***Lecture 2:***Improved regularity in periodic homogenization and Liouville theorems***Lecture 3:***Harnack's inequality and Moser's proof of the De Giorgi-Nash-Moser theorem***Lecture 4:***De Giorgi's proof of the De Giorgi-Nash-Moser theorem***Lecture 5:***Calderón-Zygmund decomposition, BMO and John-Nirenberg's inequality***Lecture 6:***Epsilon regularity for the Navier-Stokes equations*

**Lecture 1:**number 243,*Compactness methods in homogenization, part 1***Lecture 2:**number 244,*Compactness methods in homogenization, part 2***Lecture 3:**number 245,*Partial regularity for Navier-Stokes, part 1***Lecture 4:**number 246,*Partial regularity for Navier-Stokes, part 2*

With Baoping Liu I gave a series of **introductory classes to PDEs** at the REU 2015 of the Department of Mathematics at The University of Chicago.

Here is a list of the classes I taught at The University of Chicago (2013-2015):

**Math 27300**,*Basic Theory of Ordinary Differential Equations*(Winter 2015)**Math 20000**,*Mathematical Methods for Physical Science 1*(Fall 2014)**Math 20400**,*Analysis 2*(Fall 2014)**Math 20100**,*Mathematical Methods for Physical Science 2*(Winter 2014)**Math 20500**,*Analysis 3*(Winter 2014)**Math 20000**,*Mathematical Methods for Physical Science 1*(Fall 2013)**Math 20400**,*Analysis 2*(Fall 2013)