Antoine Mellet

Antoine Mellet is a Full Professor in the Department of Mathematics at the University of Maryland, College Park. His research focuses on partial differential equations, mathematical biology, fluid dynamics, and homogenization theory. He has extensively studied Hele-Shaw flows, diffusion-aggregation phenomena, chemotaxis models, and fractional diffusion limits.

• NSF Grant DMS-2307342 (2023-2026)
• NSF Grant DMS-2009236 (2020-2023)
• NSF Grant DMS-1501067 (2015-2019)
• NSF Grant DMS-1201426 (2012-2015)
• NSF Grant DMS-0901340 (2009-2012)
• NSF Grant DMS-0456647 (2005-2008)

His recent publications explore age-structured tumor growth models, volume-preserving mean curvature flows, and connections between diffusion-aggregation equations and geometric evolution problems. Collaborators include prominent researchers like D. Levy, I. Kim, and C. Imbert.