Yanqiu Guo

Assistant Professor
Department of Mathematics and Statistics
Florida International University
Miami, Florida

Office: DM 415A
Office hours: Monday 2:00-2:45pm;   Wednesday 2:00-3:45pm;   Friday 3:00-3:45pm.
Office Phone: 305-348-4954
Email: yanguo@fiu.edu

I obtained my PhD in mathematics from the University of Nebraska-Lincoln in 2012, and my thesis advisor was Mohammad A. Rammaha. From 2012 to 2015, I was a postdoctoral fellow working with Edriss S. Titi, at the Weizmann Institute of Science in Israel. During the 2015-2016 school year, I was a lecturer at Texas A&M University. Currently, I am an Assistant Professor at Florida International University.

Teaching: I am teaching Calculus I(MAC2311) and Calculus II(MAC2312) in fall 2017.

Research Interest: Analysis of Partial Differential Equations.

Research Grant: Simons collaboration grant (2017-2022)

Research Papers:
14. Energy decay of a viscoelastic wave equation with supercritical nonlinearities, (with M. A. Rammaha and S. Sakuntasathien), submitted (2017). arXiv:1707.03330 PDF

13. Inertial manifolds for the hyperviscous Navier-Stokes equations, (with C. G. Gal), submitted (2017). HAL Id: hal-01490190 PDF

12. Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities, (with M. A. Rammaha and S. Sakuntasathien), J. Differential Equations 262 (2017), 1956-1979. PDF

11. Non-viscous regularization of the Davey-Stewartson equations: Analysis and modulation theory, (with I. Hacinliyan and E. S. Titi), J. Math. Phys. 57 (2016), 081502, 22 pp. PDF

10. On the backward behavior of some dissipative evolution equations, (with E. S. Titi), Physica D 306 (2015), 34-47. PDF

9. Inertial manifolds for certain sub-grid scale alpha-models of turbulence, (with M. Abu Hamed and E. S. Titi), SIAM J. Appl. Dyn. Syst. 14 (2015), 1308-1325. PDF

8. Global well-posedness of a system of nonlinearly coupled KdV equations of Majda and Biello, (with K. Simon and E. S. Titi), Commun. Math. Sci. 13 (2015), 1261-1288. PDF

7. On the radius of analyticity of solutions to the cubic Szego equation, (with P. Gerard and E. S. Titi), Ann. Inst. H. Poincare Anal. Non Lineaire 32 (2015), 97-108. PDF

6. Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping, (with M. A. Rammaha, S. Sakuntasathien, E. S. Titi, and D. Toundykov), J. Differential Equations 257 (2014), 3778-3812. PDF

5. Systems of nonlinear wave equations with damping and supercritical interior and boundary sources, (with M. A. Rammaha), Trans. Amer. Math. Soc. 366 (2014), 2265-2325. PDF

4. Persistency of analyticity for nonlinear wave equations: an energy-like approach, (with E. S. Titi), Bull. Inst. Math. Acad. Sin. (N.S.) 8 (2013), 445-479. (special issue dedicated to Neil Trudinger on the occasion of his 70th birthday) PDF

3. Global existence and decay of energy to systems of wave equations with damping and supercritical sources, (with M. A. Rammaha), Z. Angew. Math. Phys. 64 (2013), 621-658. PDF

2. Blow-up of solutions to systems of nonlinear wave equations with supercritical sources, (with M. A. Rammaha), Appl. Anal. 92 (2013), 1101-1115. PDF

1. Convex integrals on Sobolev spaces, (with V. Barbu, M. A. Rammaha, and D. Toundykov), J. Convex Anal. 19 (2012), 837-852. PDF