Zihua Guo

Zihua Guo is a Professor in the School of Mathematics at Monash University and an ARC Future Fellow. His research focuses on the interplay between harmonic analysis and partial differential equations (PDEs), with particular emphasis on nonlinear dispersive equations, Navier-Stokes equations, and quasi-geostrophic models. He explores topics such as low-regularity well-posedness, scattering theory, and asymptotic behavior of solutions.

He leads or collaborates on major research projects funded by the Australian Research Council (ARC), including studies on nonlinear harmonic analysis, dispersive PDEs, and quasi-geostrophic dynamics. His work bridges harmonic analysis and PDEs, with applications to fluid dynamics and mathematical physics.

• Key Awards: ARC Future Fellowship

Guo advises PhD students on projects involving harmonic analysis methods in dispersive equations, requiring strong backgrounds in functional analysis, Fourier analysis, and PDEs. He collaborates internationally on advancing theoretical frameworks for nonlinear systems and their physical implications.