Rémi Schweyer

Research interests

My main field of interest is nonlinear partial differential equations (PDEs) with tools from the modulation theory. More specifically, I work about blow-up dynamics for parabolic problems, in particular in the critical setting. My goal is to obtain a qualitative description of singularity formation. I am working about three problems :

• Harmonic heat flow.
• Semilinear heat equation.
• Patlak-Keller-Segel model of chemotactic aggregation.