26/03/2020
The Human Resources Strategy for Researchers

PhD contract in the field of Mathematics financed by the University Clermont Auvergne

This job offer has expired


  • ORGANISATION/COMPANY
    Université Clermont Auvergne
  • RESEARCH FIELD
    Mathematics
  • RESEARCHER PROFILE
    First Stage Researcher (R1)
  • APPLICATION DEADLINE
    21/05/2020 23:00 - Europe/Brussels
  • LOCATION
    France › AUBIERE
  • TYPE OF CONTRACT
    Other
  • JOB STATUS
    Other
  • HOURS PER WEEK
    35 H
  • OFFER STARTING DATE
    01/10/2020
  • REFERENCE NUMBER
    UCA/SF/0014
  • IS THE JOB RELATED TO STAFF POSITION WITHIN A RESEARCH INFRASTRUCTURE?
    Yes

Ecole Doctorale des Sciences Fondamentales

Title of the thesis: Long time behaviour of kinetic interacting particles system

Supervisor : Guillin Arnaud

Laboratory : LMBP

University : UCA

Email and Phone : Arnaud.guillin@uca.fr

Possible co-supervisor : Wu Liming

Laboratory : LMBP

University : UCA

Summary :

This PhD thesis deals with the problem of the long time behavior of kinetic particles system

with mean field interactions. Recent techniques developed in the PDE field, by Villani or

Dolbeault-Mouhot-Schmeiser, under the name hypocercivity, have led to significant success

in the study of the long time behavior of such models however depending deeply on the

number of particles. In his recent thesis C. Zhang has proved that it was in some sense

possible to adapt their strategy with constant independent of the number of particles.

However, the condition on the interaction potentials are quite restrictive and far from being

able to deal with interesting physical cases such as Coulombian potentials.

Very recently, probabilistic approach by Mattingly-Lu and analytic one from Baudoin-Gordina-

Herzog have been able to consider partially these potentials, but without providing constants.

Also Bresch-Jabin-Wang have considered propagation of chaos for the Keller-Segel case

(non kinetic and in finite time) by using a modified energy method a la Serfaty.

The main goal of this PhD thesis will be to consider probabilistic and analytic approach to be

able to handle long time behavior and propagation of chaos of this kinetic mean field

particles system when interactions are singular.

Bibliography :

Villani. Hypocoercivity. Memoirs of the AMS, 2008.

Dolbeaul-Mouhot-Schmeiser. Hypocoercivity for kinetic equations with linear relaxation

terms, TAMS 2015

Baudoin-Gordina-Herzog. Gamma calculus beyond Villani and explicit convergence

estimates for Langevin dynamics with singular potentials, ArXiv 2019.

Mattingly-Lu. Geometric ergodicity of Langevin dynamics with Coulomb interactions, ArXiv

2019.

Bresch-Jabin-Wang. Modulated Free Energy and Mean Field Limit , ArXiv 2019.

 

More informations via the link :

https://sf.ed.uca.fr/financement-doctoral/contrat-doctoral-allocations-ministerielles/sujets-de-these-ed-sf-2020-proposes-au-concours/

 

To apply, please download the application file via the link :

https://sf.ed.uca.fr/financement-doctoral/contrat-doctoral-allocations-m...

 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mail

 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

Benefits

 

 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mai

 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

Eligibility criteria

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

Selection process

Interested students must send two copies of their application to the secretariat of the doctoral school before 22 May 2020, the deadline.

Audition at the doctoral school of the selected candidates:

- 4 June morning: LAMP jury

- 11th June morning: LMV jury

- 11 June afternoon: Chemistry jury

- 12 June: Physics jury

19 June: ED SF council for allocations Doctoral allocations

 
 
What do you want to do ?

New m

 
What do you wan

 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

Additional comments

 
What do you want to do ?

New mailC

 
What do you want to do ?

New mailCop

 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

Offer Requirements

  • REQUIRED EDUCATION LEVEL
    Mathematics: Master Degree or equivalent

Skills/Qualifications

 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

Specific Requirements

Speak French or very good level of English

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

 
 
What do you want to do ?

New mailCopy

Map Information

Job Work Location Personal Assistance locations
Work location(s)
1 position(s) available at
Blaise Pascal Laboratory of Mathematics (LMBP)
France
Région Auvergne Rhône-Alpes
AUBIERE
63178
Campus Universitaire des Cézeaux TSA 60026 - CS 60026 3, Place Vasarely

Open, Transparent, Merit based Recruitment procedures of Researchers (OTM-R)

Know more about it at Université Clermont Auvergne

Know more about OTM-R

EURAXESS offer ID: 508387

Disclaimer:

The responsibility for the jobs published on this website, including the job description, lies entirely with the publishing institutions. The application is handled uniquely by the employer, who is also fully responsible for the recruitment and selection processes.

 

Please contact support@euraxess.org if you wish to download all jobs in XML.