Hao Jia's homepage

Email:jiaxx034@math.umn.edu
Address: 320 Vincent Hall, 206 Church St S.E, Minneapolis, MN, 55455.

Office Hours:

By Appointments.

Research Interests:

I am interested in partial differential equations. I am particularly interested in the Navier-Stokes and Euler equations. Usually the qualitative properties of solutions, such as global existence VS blowup, uniqueness, stability/instability, long-time dynamics are among the first questions I 'd like to ask and hopefully also solve (rarely happens...). At an early stage of my career, I am open to various new, exciting directions. The main focus is still to learn and understand the vast literature and techniques in PDE.

Courses:

I taught Calculus II, Linear algebra and differential equations during academic years 2007-2009. I am currently working as Research Assistant for my advisor professor Vladimir Sverak.

Publications:

Here you can find some of my work (preprints):
1.Liouville theorem for time-dependent Stokes system in domains (joint with Gregory Seregin {one of my advisor's main collaborators} and Vladimir Sverak {my advisor}). (pdf)
2.Minimal L^3 initial data for potential Navier-Stokes singularities (joint with Vladimir Sverak ). (pdf)
3.Local-in-space estimates near initial time for weak solutions of Navier-Stokes equations and forward self-similar solutions (joint with Vladimir Sverak). (pdf)

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School of Mathematics
Institute of Technology
University of Minnesota

Last Modified Thursday April 05, 2012 The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota.