Mini – course: Nonlinear PDEs in Fluid Dynamics

Mini – course: Nonlinear PDEs in Fluid Dynamics

Time:

Venue/Location: Vietnam Institute for Advanced Study in Mathematics (VIASM), Hanoi

Objective: The field of Nonlinear PDEs in Fluid Dynamics has seen many scientific activities in the last years, which are due to the facts that the underlying governing equations have a very complex structure and, on the other hand, that these equations form a building block for other disciplines in science.

These lectures will investigate current questions arising in the theory of the Navier-Stokes equations, in fluid-structure interactions, in geophysical flows and in the theory of liquid crystals. In particular, topics include:

  • Modern theory of quasi- and semi-linear parabolic equations;
  • Well-posedness and regularity theory for the Navier-Stokes equations in critical spaces;
  • Compressible primitive equations;
  • Liquid crystals described by the Q-tensor- or the Ericksen-Leslie model;
  • Fluids coupled to chemotaxis systems.

Expected participants:

Undergraduate students (year 3, 4), Master students, PhD, lecturers, and researchers in the field of Nonlinear PDEs in Fluid Dynamics

Lecturer: Professor Matthias Hieber, Technical University of Darmstadt, Vice Director of Oberwolfach Research Institute for Mathematics (Mathematisches Forschungsinstitut Oberwolfach, MFO), Germany.

Organizing Committee

  • Le Minh Ha, Vietnam Institute for Advanced Study in Mathematics (VIASM);
  • Nguyễn Thiệu Huy, Hanoi University of Science and Technology (HUST). 

Language: English

Mode of participation: Hybrid (online participation is available only for participants from outside Hanoi area). 

Registration

  • Registration link: Here
  • Deadline for Registration: April 01, 2025

Contact: