Zihua Guo
Associate Professor, Analysis and PDE
Monash University
Associate Professor, Analysis and PDE
Monash University
I'm an Associate Professor at School of Mathematics, Monash University in Melbourne, Australia. My research interest lies in harmonic analysis and nonlinear evolution equations, in particular, the nonlinear dispersive equations. My Monash profile can be found here. My Google scholar page is here.
Education/Employment
Education
2004, Sun Yat-sen University, B.S.
2007-2008, University of Chicago, visiting PhD
2009, Peking University, PhD
Employment
2009-2012, Peking University, Assistant Professor
2012-2015, Peking University, Associate Professor
2010-2011, Institute for Advanced Study, Postdoc Memeber
2014.2-6, The Australian National University, Research fellow
2015-current, Monash University, Associate Professor
Research interest
I am interested in the interplay between harmonic analysis and partial differential equations, as well as their interactions with other fields.
Harmonic analysis
to study the boundedness in various function spaces of many linear/multilinear operators related to the Fourier restriction problems and PDE, space-time estimates for dispersive equations, adaptive function spaces and analysis tools associated to operators and PDE
Nonlinear partial differential equation
to study the nonlinear evolutionary PDE arising in mathematical physics such as nonlinear dispersive equations, Navier-Stokes equation. Main concerns are the low-regularity local/global well-posedness theory, long-time/blow-up behavior of the solution, stability of the equation, playing tools from many other areas including harmonic analysis, functional analysis, ODE and probability, etc.
Recent
I am one of the organisers for the following workshops:
Dec 16-20, 2024, Harmonic and Microlocal Analysis in PDE, MATRIX, Melbourne, Australia
Oct 28-Nov 1, 2024, Asia-Pacific International Conference on Dispersive Equations, Xiamen, China
I am a chief investigator for the following projects:
Partial differential equation: Schrodinger operator and long-time dynamics
30/06/24 → 29/06/28, ARC Future fellowship, FT230100588Nonlinear harmonic analysis and dispersive partial differential equations
8/04/20 → 31/12/22, ARC Discovery project, DP200101065Harmonic analysis and dispersive partial differential equations
1/01/17 → 1/11/20, Lead CI, ARC Discovery project, DP170101060
Contact
School of Mathematics, Monash University
9 Rainforest Walk, Clayton, VIC 3800, Australia
Office: room 415
phone: +61-3-990-59647
e-mail: zihua.guo(at)monash.edu