Section: Partnerships and Cooperations

International Initiatives

• Title: Bose-Einstein Condensates : Computation and HPC simulation

• Head: Xavier Antoine

• International Partner: Sichuan University, Chengdu (China) - Department of mathematics - Qinglin TANG

• Start year: 2019

• See also: https://team.inria.fr/bec2hpc/

• All members of the associate team are experts in the mathematical modeling and numerical simulation of PDEs related to engineering and physics applications. The first objective of the associate team is to develop efficient high-order numerical methods for computing the stationary states and dynamics of Bose-Einstein Condensates (BEC) modeled by Gross-Pitaevskii Equations (GPEs). A second objective is to implement and validate these new methods in a HPC environment to simulate large scale 2D and 3D problems in quantum physics. Finally, a third objective is to provide a flexible and efficient HPC software to the quantum physics community for simulating realistic problems.

• Title : Analysis, Control and Homogenization of Complex Systems

• International Partner: TIFR CAM, Bangalore

• Heads: Takéo Takahashi (France) and Mythily Ramaswamy (India).

• Duration: 2018 - 2021

• Scientific Objectives

  • Study the well-posedness of models arising from either structure in the fluid or structure on the boundary of the domain containing the fluid.

  • Explore Controllability, Optimal Control and Stabilization of such fluid-structure interaction problems.

  • Study systems describing fluid flows in a time dependent domain with a rapidly oscillating boundary using Homogenization Theory. The rapid oscillations of the boundary takes into account, the rough character of the boundary and its movements may take into account the displacement of a deformable body into a fluid flow.

  • Carry out Finite Element Analysis for such models, including elastic structures as well as rigid ones.