Guo, Yanqiu Graduate Faculty
- Associate Professor, Mathematics and Statistics , College of Arts, Sciences & Education
Overview
overview
- 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.
Publications
selected scholarly works & creative activities
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Article
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2026On the two-dimensional Navier-Stokes equations with horizontal viscosity. Journal of Mathematical Analysis and Applications. 557.Full Text via DOI: 10.1016/j.jmaa.2025.130352 Web of Science: 001657878500001
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2024Sparse distribution of lattice points in annular regions. Journal of Number Theory. 264:277-294.Full Text via DOI: 10.1016/j.jnt.2024.05.009 Web of Science: 001266493900001
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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
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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
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2021Global 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
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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
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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
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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
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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
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2018Energy decay of a viscoelastic wave equation with supercritical nonlinearities. Zeitschrift für Angewandte Mathematik und Physik. 69.Full Text via DOI: 10.1007/s00033-018-0961-6 Web of Science: 000432375100001
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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
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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
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2015On the backward behavior of some dissipative evolution equations. Physica D : Non-linear phenomena. 306:34-47.Full Text via DOI: 10.1016/j.physd.2015.05.011
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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
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2015Inertial manifolds for certain subgrid-scale $\alpha$ models of turbulence. SIAM Journal on Applied Dynamical Systems. 14:1308-1325.Full Text via DOI: 10.1137/140987833
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2015On the radius of analyticity of solutions to the cubic Szego equation. Annales de l'Institut Henri Poincare. Analyse non linéar. 32:97-108.Full Text via DOI: 10.1016/j.anihpc.2013.11.001
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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
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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
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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
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2013Global existence and decay of energy to systems of wave equations with damping and supercritical sources. Zeitschrift für Angewandte Mathematik und Physik. 64:621-658.Full Text via DOI: 10.1007/s00033-012-0252-6
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2012Convex integrals on sobolev spaces. Journal of Convex Analysis. 19:837-852.
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Preprint
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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
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Grant
- The study of competing forces in nonlinear evolution equations awarded by Simons Foundation 2017 - 2024
Contact
full name
- Yanqiu Guo
