Personal webpage of Jérôme MONNIER, Professor in Applied Mathematics - Computational Sciences.

Jerome.Monnier - insa-toulouse dot fr
Address : INSA, 135 av. de Rangueil, 31400 Toulouse, France
  +33 5 61 55 93 42


Office location

INSA Toulouse, campus scientifique de Rangueil
Department of Applied Mathematics ("GMM" in local patois). Office #128
Métro B, station "faculté de pharmacie"



News
* The Shift Project & Groupe INSA lancent ClimatSup INSA.
Besoin de quelques infos sur la question de fond ? Voici des exposes de J.-M. Jancovivi, fondateur du think tank "the shift project": James Finance contre Docteur Carbone (sept. 2020), Autour du problème planétaire, notre économie, nos futurs possibles (Ecole Polytechnique, sept. 2021).
Replay de notre semaine "Climat-Energie" INSA Toulouse (accés restreint) (conference perso disponible ici).

Research


Current research activities
Development of mathematical and numerical models of geophysical free-surface flows (mainly creeping, low Froude ones): glaciers flows (multi-scale, multi-regime free-surface shallow flows), rivers flows (multi-dimensional, multi-scale), lava flows etc. The considered dynamic free surface flows are remotely observed, measured "from above" (from satellites, drones etc). Then my studies focus on the inference of uncertain features (e.g. basal properties (topography-friction) or rheology) by assimilating the remote sensed data into the physical-based models (the latter may be classical or original ones).
These applied mathematics researches may be naturally connected to the use of multi-satellites (altimetry, InSAR, optical) and drones measurements-databases in Earth sciences.

Keywords: Geophysical free-surface fluid flows, PDE models, inverse modeling, numerical methods, variational data assimilation, "hybrid inversions": physically-informed and data-driven.

Algorithms recently obtained (with on-going improvements); corresponding computational codes are open-source, available on demand.
*) Discharge and bathymetry estimations of rivers from altimetry measurements (the HiVDI algorithm).
*) Bed topography estimations beneath glaciers, for moderatly sheared ice flows i.e. in areas where flows are moderatly fast; typically in the poorly monitored and unmonitored interior sectors of East Antarctica.
*) In progress: Inference of effective (complex) fluid rheology from flow measurements.

More information on the following publications page. A few real-world examples are available on DassFlow webpage.

A few description for non-experts
* On the SWOT mission page (NASA-JPL/Caltech, CNES), you will find short presentations of river discharge estimations and estimations of ice thickeness in unexplored regions.
* On the CNES-Aviso+ website (altimetry, European space missions): "Modeling the flow" (2019) and "Testing algorithms" (2016).
* Un autre article sur la même thématique dans The Conversation "Cycle de l’eau : estimer pour la première fois le débit des rivières à l’échelle planétaire" (2022).
* An INSA newsletter on discharges estimations of rivers (2018).
* Breves de maths, Mathematiques de la planete Terre (CNRS-INRIA et al.): de nombreuses notes courtes a lire, dont une petite contribution personnelle traitant des "ecoulements des fleuves et rivieres : un deluge d'images" (2013).
* An easy-to-follow talk on my on-going research topics:A few inverse problems in Earth Sciences (hydrology, glaciology) (slides).

Institutions
* Institute of Mathematics of Toulouse IMT.
* Centre for Mathematics and Computer Science in Toulouse CIMI.
* Agence pour les mathematiques en interaction avec l'entreprise et la societe (Cnrs-Insmi): AMIES.
Ce site presente egalement des offres d'emploi, de thèses etc
* The European Consortium of Innovative Universities (ECIU).

* The local super-computer CALMIP.

* Atelier de Réflexion Prospective "MATHematiqueS en INteractions pour la TERRE" Maths In Terre (a nice initiative dated of 2014).





Training

Departments
* Department of Applied Mathematics (Master's degree) at INSA Toulouse.
(INSA: a French école d'ingénieur that is ~ a Tech University).

* Undergraduate department (BSc) Sciences et Techniques Pour l'Ingenieur (STPI).

I give lectures in these departments. You may consult Open Online Courses (OOCs) (see menu on the left too).

* What is a French "école d'ingenieur" ?

International Relations in Applied Math.
* Interested to study in our department ? You may consult our training program in Applied Mathematics.

* More information on the International relations of INSA Toulouse on the dedicated webpage.

* Our European Consortium of Innovative Universities (ECIU) network offers many opportunities both for students and professors-researchers..

Another program dedicated to incoming international students: Master N+.

Responsabilities - services
Mais quelle est donc cette fonction d'enseignant-chercheur ? What do professors do ? Paris, Texas, la meme chose !...

Parmi nos-mes autres activités: Conseil Scientifique / d'Adminsitration de l'établissement, comités de selection, comité de réflexions / prospectives, définition-évolution des programmes de formation (CTI) etc.

* A short Curriculum Vitae (2023 Globenglish version).

Students' projects: a few examples (by students from our applied math dept).

Proposez un stage, une thèse:
- Vous voulez proposer un stage, une thèse, un premier emploi ? : Job teaser
- Page des relations industrielles Insa Toulouse.

* Alumni network.
* Association des doctorants de l’INSA Toulouse.


Mais à quoi les mathématiques peuvent-elles bien servir ?!
- A quoi servent les maths ? Quel peut bien être le métier d'un mathématicien ?
Des élements de réponse par ici (SMAI), par là (Onisep) et aussi par là (M. Hairer, Suisse).

- L’intelligence Artificielle: De quoi s’agit-il vraiment ? Reponse du GdR IA du CNRS.

- "Maths & IA" vus par des industriels (2021).

- Un doctorat (i.e. un PhD !) apres le diplome d'ingenieur ? ca peut etre une (tres) bonne idee !
(Points de vue de responsables industriels, sur le site de la SMAI).
- Interesse(e) par une thèse en partie en entreprise ? Convention CIFRE !

- Some beautiful, colorful images in space hydrology (NASA-CNES, SWOT mission 2021).
- Images des maths, par le CNRS.

- The Era of Mathematics by the European Service Network of Mathematics for Industry and Innovation (EU-MathIn).

- Some academic (or not) jobs ads in applied math are available on the following websites: EU-MathIn, Math Hire, NA-Digest, CFD online, SIAM.

- A l'attention des plus jeunes: Les maths, ça sert !


- Un "Zoom sur les métiers des maths et de l'informatique" sur le site de la SMAI (retrospective 2009 :).