PhD Position F/M [ALRC 2023] Mathematical and numerical analysis of dissipative problems with free boundaries

2023-05752 - PhD Position F/M ALRC 2023 Mathematical and numerical analysis of dissipative problems with free boundaries

Contract type : Fixed-term contract

Level of qualifications required : Graduate degree or equivalent

Fonction : PhD Position

About the research centre or Inria department

The Inria University of Lille centre, created in 2008, employs 360 people including 305 scientists in 15 research teams. Recognised for its strong involvement in the socio-economic development of the Hauts-De-France region, the Inria University of Lille centre pursues a close relationship with large companies and SMEs. By promoting synergies between researchers and industrialists, Inria participates in the transfer of skills and expertise in digital technologies and provides access to the best European and international research for the benefit of innovation and companies, particularly in the region.

For more than 10 years, the Inria University of Lille centre has been located at the heart of Lille's university and scientific ecosystem, as well as at the heart of Frenchtech, with a technology showroom based on Avenue de Bretagne in Lille, on the EuraTechnologies site of economic excellence dedicated to information and communication technologies (ICT).

Context

The PhD thesis enters the framework of a longstanding collaboration of the RAPSODI project team with colleague of the CEA and ANDRA on the mathematical and numerical modeling of iron corrosion.

The goal of this thesis is the mathematical study (well-posedness, asymptotic behavior) of a simplified model in order to build a better understanding of a more complex model recently developed by our team. Numerical simulations of the simplified model are also expected. The mid-term goal is to transpose the obtained results to the full model.

Assignment

Assignments : With the help of Clément Cancès and Claire Chainais-Hillairet, the recruited person will be taken to study mathematically a model with moving interfaces inspired from a more complex model for iron corrosion. The work essentially consists in mathematical contributions (with a numerical part) at the interface between mathematics, electrochemistry and material sciences.

For a better knowledge of the proposed research subject : A detailed description with bibliography of the PhD topic is available at : https: // chercheurs.lille.inria.fr/ccances/Documents/PhD-cances- chainaisen.pdf.

Collaboration : The recruited person will be in connection with mathematician colleagues from the Inria project team RAPSODI, and more generally with member of the ANEDP research team of the Paul Painlevé Laboratory (University of Lille and CNRS).

Main activities

Main activities :

Research in applied mathematics

Redaction of scientific articles

Participation to seminars and conferences

Additional activities :

Participation to the social and administrative life of the University of Lille and of Inria

Participation to the courses of the graduate school MADIS

Skills

Technical skills and level required : Master degree in mathematics or applied mathematics

Languages : English and/or French

Benefits package

Subsidized meals

Partial reimbursement of public transport costs

Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.)

Possibility of teleworking and flexible organization of working hours

Professional equipment available (videoconferencing, loan of computer equipment, etc.)

Social, cultural and sports events and activities

Access to vocational training

Social security coverage

Remuneration

1st and 2nd year: 2 051€ gross per month

3rd year: 2 158€ gross per month

General Information

Theme/Domain : Numerical schemes and simulations Biologie et santé, Sciences de la vie et de la terre (BAP A)

Town/city : Villeneuve d'Ascq

Inria Center : Centre Inria de l'Université de Lille

Starting date : 2023-10-01

Duration of contract : 3 years

Deadline to apply : 2023-04-18

Contacts

Inria Team : RAPSODI

PhD Supervisor : Cances Clément / [email protected]

The keys to success

appentence for science in general, and mathematics in particular

expertise in applied mathematics, in particular on partial differential equations,

skills in numerical analysis

About Inria

Inria is the French national research institute dedicated to digital science and technology. It employs 2,600 people. Its 200 agile project teams, generally run jointly with academic partners, include more than 3,500 scientists and engineers working to meet the challenges of digital technology, often at the interface with other disciplines. The Institute also employs numerous talents in over forty different professions. 900 research support staff contribute to the preparation and development of scientific and entrepreneurial projects that have a worldwide impact.

Instruction to apply

CV + Cover Letter

Defence Security : This position is likely to be situated in a restricted area (ZRR), as defined in Decree No. 2011-1425 relating to the protection of national scientific and technical potential (PPST).Authorisation to enter an area is granted by the director of the unit, following a favourable Ministerial decision, as defined in the decree of 3 July 2012 relating to the PPST. An unfavourable Ministerial decision in respect of a position situated in a ZRR would result in the cancellation of the appointment.

Recruitment Policy : As part of its diversity policy, all Inria positions are accessible to people with disabilities.

Warning : you must enter your e-mail address in order to save your application to Inria. Applications must be submitted online on the Inria website. Processing of applications sent from other channels is not guaranteed.