Guo, Yanqiu Graduate Faculty
- Associate Professor, Mathematics and Statistics , College of Arts, Sciences & Education
Overview
biography
- Yanqiu Guo obtained his PhD in mathematics from the University of Nebraska-Lincoln in 2012, and his thesis advisor was Mohammad A. Rammaha. From 2012 to 2015, he was a postdoctoral fellow working with Edriss S. Titi, at the Weizmann Institute of Science in Israel. During the 2015-2016 school year, He was a lecturer at Texas A&M University. Currently, he is an assistant professor at Florida International University.
research interests
-
Mathematical Analysis of Partial Differential Equations of nonlinear waves, as well as hydrodynamics.
Nonlinear PDEs (Navier-Stokes equations, dissipative wave equations,…)
Scholarly & Creative Works
selected scholarly works & creative activities
-
Article
-
2024Blow-up theorems for a structural acoustics model. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 529.Full Text via DOI: 10.1016/j.jmaa.2023.127600 Web of Science: 001062534400001
-
2023On the asymptotic behavior of solutions to a structural acoustics model. JOURNAL OF DIFFERENTIAL EQUATIONS. 372:315-347.Full Text via DOI: 10.1016/j.jde.2023.06.047 Web of Science: 001049170700001
-
2020Global well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number. JOURNAL OF EVOLUTION EQUATIONS. 21:2923-2954.Full Text via DOI: 10.1007/s00028-020-00644-4 Web of Science: 000587959300001
-
2020Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation. JOURNAL OF DIFFERENTIAL EQUATIONS. 269:8736-8769.Full Text via DOI: 10.1016/j.jde.2020.06.033 Web of Science: 000546572400032
-
2019Global well-posedness for nonlinear wave equations with supercritical source and damping terms. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 477:1087-1113.Full Text via DOI: 10.1016/j.jmaa.2019.05.002
-
2018Inertial manifolds for the hyperviscous Navier-Stokes equations. JOURNAL OF DIFFERENTIAL EQUATIONS. 265:4335-4374.Full Text via DOI: 10.1016/j.jde.2018.06.011 Web of Science: 000443798400019
-
2018Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation. JOURNAL OF MATHEMATICAL PHYSICS. 59.Full Text via DOI: 10.1063/1.5022099 Web of Science: 000440588200004
-
2018Energy decay of a viscoelastic wave equation with supercritical nonlinearities. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. 69.Full Text via DOI: 10.1007/s00033-018-0961-6 Web of Science: 000432375100001
-
2017Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities. JOURNAL OF DIFFERENTIAL EQUATIONS. 262:1956-1979.Full Text via DOI: 10.1016/j.jde.2016.10.037 Web of Science: 000392463100029
-
2016Non-viscous regularization of the Davey-Stewartson equations: Analysis and modulation theory. JOURNAL OF MATHEMATICAL PHYSICS. 57.Full Text via DOI: 10.1063/1.4960047
-
2015On the backward behavior of some dissipative evolution equations. PHYSICA D. 306:34-47.Full Text via DOI: 10.1016/j.physd.2015.05.011
-
2015Global well-posedness of a system of nonlinearly coupled KdV equations of Majda and Biello. COMMUNICATIONS IN MATHEMATICAL SCIENCES. 13:1261-1288.Full Text via DOI: 10.4310/CMS.2015.v13.n5.a9
-
2015Inertial manifolds for certain subgrid-scale $\alpha$ models of turbulenceFull Text via DOI: 10.1137/140987833
-
2015On the radius of analyticity of solutions to the cubic Szego equation. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. 32:97-108.Full Text via DOI: 10.1016/j.anihpc.2013.11.001
-
2014Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping. JOURNAL OF DIFFERENTIAL EQUATIONS. 257:3778-3812.Full Text via DOI: 10.1016/j.jde.2014.07.009
-
2014Systems of nonlinear wave equations with damping and supercritical boundary and interior sources. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 366:2265-2325.Full Text via DOI: 10.1090/S0002-9947-2014-05772-3
-
2013Blow-up of solutions to systems of nonlinear wave equations with supercritical sources. APPLICABLE ANALYSIS. 92:1101-1115.Full Text via DOI: 10.1080/00036811.2011.649734
-
2013Global existence and decay of energy to systems of wave equations with damping and supercritical sources. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. 64:621-658.Full Text via DOI: 10.1007/s00033-012-0252-6
-
2012Convex integrals on sobolev spaces. JOURNAL OF CONVEX ANALYSIS. 19:837-852.
-
-
Preprint
-
2022On the asymptotic behavior of solutions to a structure acoustics modelFull Text via DOI: 10.48550/arxiv.2202.09656
Research
principal investigator on
- The study of competing forces in nonlinear evolution equations awarded by Simons Foundation 2017 - 2024
co-principal investigator on
-
Grant
- The study of competing forces in nonlinear evolution equations awarded by Simons Foundation 2017 - 2024
Contact
full name
- Yanqiu Guo
visualizations
publication subject areas
Citation index-derived subject areas the researcher has published in