Summer School on Nonlinear PDEs:
Fluid Dynamics, Chemotaxis, and Singularity Formation

Purpose

The conference focuses on the Nonlinear Analysis of Partial Differential Equations (PDEs). The goal is to share recent developments in the stability of fluid dynamics and the singularity formation in some parabolic systems. Graduate students, young researchers are warmly invited to join four interactive sessions, two research talks and two mini-courses where leading experts will present new results and open problems on singularity formation in hyperbolic and parabolic PDEs, as well as the dynamics of shear layers in fluid dynamics. Beyond the lectures, participants will have ample opportunities to exchange ideas with the speakers, forge new collaborations, and deepen their understanding of analytical techniques that are driving today’s breakthroughs in nonlinear PDE theory.

The school is scheduled to take place from July 14 to 18, 2025 at the " Faculté de Médecine Dentaire de Monastir: Amphi Auditorium Ali Ben Rahma". 

Registration is closed.

Talks by:

• Lassaad Aloui (University of Tunis El Manar)

              Title: Asymptotic Behavior of the Damped Inhomogeneous Nonlinear Schrödinger Equation

• Abdessatar Khelifi  (University of Carthage )

              Title: An Overview of Mathematical Modeling and Inverse Problem

• Nader Masmoudi (Courant Institute NYU, NYU Abu Dhabi)

              Title: Prandtl System: Reversed flows and the Zero Viscosity Limit

• Hatem Zaag (Université Sorbonne Paris Nord)

                   Title: Soliton resolution at blow-up for the subconformal semilinear wave equation

Mini-Courses by:

• Tej Eddine Ghoul  (NYU Abu Dhabi) (First Course: 7.5 h)

                  Title: Non-self similar singularity formation for parabolic equations

• Weiren Zhao (NYU Abu Dhabi) (Second Course: 7.5 h)

                  Title: Stability and Instability of Monotonic Shear Flows in an Infinite Periodic Channel for Viscous Fluids

Organizers Committee:

• Maatoug Hassine (FSM-University of Monastir)

• Akram Ben Aissa (ISTLS-University of Sousse)

• Mourad Hrizi (ISMAIK-University of Kairouan)

• Imed Mahfoudhi  (ENIM-University of Monastir)

Contact tunisiaanalysispde@gmail.com for any queries