Hi, I'm Xin Liu, an assistant professor from the Dept. Math of TAMU.

I got my Ph.D in mathematics from CUHK in 2017, under the supervision of Prof. Zhouping Xin. I did my postdoc in Texas A&M University (2017-2019, with Edriss Titi), Freie Universitaet Berlin (2019-2021, with Rupert Klein), and Weierstrass Institute (2022, with Marita Thomas). 

I am interested in mathematical problems with strong physics background and real world applications.

I start my research with the free boundary problem of compressible flows. Lately, I am also interested in asymptotic limits of different fluid models and beyond, including but not limited to, low Mach number limit, quasi-geostrophic approximation, etc.

Selected work

1. Asymptotic stability of free boundary problem of the compressible primitive equations, Joint work with E. Titi and Z. Xin

2. Guasi-geostrophic approximation in a channel with fast wave correction, Joint work with C. Bardos and E. Titi

3. Hydrostatic approximation of compressible flows, Joint work with E. Titi

4. Bounded entropy solutions to compressible Navier-Stokes equations, Joint work with Y. Yuan

5. Global solution to free boundary problem of isentropic compressible Navier-Stokes equations

Outreach

• I am volunteering in TAMU Math Circle. 

• In 2024/25 term, I am coordinating math contest with Wencai Liu.

  • Registration for MMC through TAMU can be found here.

  • Registration for AMC through TAMU can be found here.

Get in touch with xliu23_at_tamu.edu