• Littlewood-Paley Theory with application to incompressible fluid dynamics equations
• Nonlinear parabolic equations and fractional power dissipative equations

• 2006-09--2009-07: China Academy of Engineering Physics, PhD
• 2001-09--2003-07: Jilin University, M.S.
• 1997-09--2001-07: Jilin University, B.S.

   

1. H. Yuan and G. Wu (2005). "QUASILINEAR DEGENERATE PARABOLIC EQUATION WITH DIRAC MEASURE." Chinese Annals of Mathematics, Ser. A 26(4): 515-526.
2. G. Wu and J. Yuan (2007). "Local well-posedness of the Cauchy problem for the generalized Camassa-Holm equation in Besov spaces." Applicationes mathematicae 34(3): 253-266.
3. M. Cannone, C. Miao and G. Wu (2008). "On the inviscid limit of the two dimensional Navier-Stokes equations with fractional diffusion." Adv. Math. Sci. Appl. 18(2): 607-624.
4. G. Wu and J. Yuan (2008). "Well-posedness of the Cauchy problem for the fractional power dissipative equation in critical Besov spaces." Journal of Mathematical Analysis and Applications 340(2): 1326-1335.
5. P. Biler and G. Wu (2009). "Two-dimensional chemotaxis models with fractional diffusion." Mathematical Methods in the Applied Sciences 32(1): 112-126.
6. C. Miao and G. Wu (2009). "Global well-posedness of the critical Burgers equation in critical Besov spaces." Journal of Differential Equations 247(6): 1673-1693.
7. G. Wu (2009). "Regularity criteria for the 3D generalized MHD equations in terms of vorticity." Nonlinear Analysis-Theory Methods & Applications 71(9): 4251-4258.
8. G. Wu (2010). "Inviscid limit for axisymmetric flows without swirl in a critical Besov space." Zeitschrift Fur Angewandte Mathematik Und Physik 61(1): 63-72.
9. G. Wu and B. Zhang (2010). "Local well-posedness of the viscous rotating shallow water equations with a term of capillarity." Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik 90(6): 489-501.
10. G. Wu and B. Zhang (2010). "A remark on the Lipschitz estimates of solutions to Navier-Stokes equations." Mathematical Methods in the Applied Sciences 33(16): 2011-2018.
11. G. Wu and X. Zheng (2011). "On the well-posedness for Keller-Segel system with fractional diffusion." Mathematical Methods in the Applied Sciences 34(14): 1739-1750.
12. M. Cannone and G. Wu (2012). "Global well-posedness for Navier-Stokes equations in critical Fourier-Herz spaces." Nonlinear Analysis-Theory Methods & Applications 75(9): 3754-3760.
13. G. Wu and L. Xue (2012). "Global well-posedness for the 2D inviscid Benard system with fractional diffusivity and Yudovich's type data." Journal of Differential Equations 253(1): 100-125.
14. G. Wu and Q. Zhang (2013). "Global well-posedness of the aggregation equation with supercritical dissipation in Besov spaces." Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik 93(12): 882-894.
15. G. Wu and X. Zheng (2013). "Global well-posedness for the two-dimensional nonlinear Boussinesq equations with vertical dissipation." Journal of Differential Equations 255(9): 2891-2926.
16. Y. Wang and G. Wu (2014). "A unified proof on the partial regularity for suitable weak solutions of non-stationary and stationary Navier-Stokes equations." Journal of Differential Equations 256(3): 1224-1249.
17. W. Ren and G. Wu (2015). "Partial Regularity for the 3D Magneto-hydrodynamics System with Hyper-dissipation." Acta Mathematica Sinica-English Series 31(7): 1097-1112.
18. Q. Jiu, Y. Wang and G. Wu (2016). "Partial Regularity of the Suitable Weak Solutions to the Multi-dimensional Incompressible Boussinesq Equations." Journal of Dynamics and Differential Equations 28(2): 567-591.
19. W. Ren, Y. Wang and G. Wu (2016). "Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations." Communications in Contemporary Mathematics 18(6): 1650018.
20. Y. Wang and G. Wu (2016). "Anisotropic Regularity Conditions for the Suitable Weak Solutions to the 3D Navier-Stokes Equations." Journal of Mathematical Fluid Mechanics 18(4): 699-716.
21. Y. Wang, G. Wu and D. Zhou (2016). "Refined regularity class of suitable weak solutions to the 3D magnetohydrodynamics equations with an application." Zeitschrift Fur Angewandte Mathematik Und Physik 67(6): 136.
22. Y. Wang, and G. Wu (2016). "Local regularity criteria of the 3D Navier-Stokes and related equations." Nonlinear Analysis-Theory Methods & Applications 140: 130-144.
23. Y. Wang and G. Wu (2017). "On the box-counting dimension of the potential singular set for suitable weak solutions to the 3D Navier-Stokes equations." Nonlinearity 30(5): 1762-1772.
24. W. Wang and G. Wu (2018). "Global mild solution of the generalized Navier-Stokes equations with the Coriolis force." Applied Mathematics Letters 76: 181-186.
25. W. Ren, Y. Wang and G. Wu (2018). "Remarks on the singular set of suitable weak solutions for the three-dimensional Navier-Stokes equations." Journal of Mathematical Analysis and Applications 467(2): 807-824.
26. Z. Nan and G. Wu (2018). "Optimal Decay Estimates of Solutions to the Three-dimensional Generalized MHD Equations." Acta Mathematica Sinica-Chinese Series 61(1): 1-18.
27. Y. Men, W. Wang and G. Wu (2018). "Endpoint regularity criterion for weak solutions of the 3D incompressible liquid crystals system." Mathematical Methods in the Applied Sciences 41(10): 3672-3683.
28. W. Wang and G. Wu (2018). "Global Well-posedness of the 3D Generalized Rotating Magnetohydrodynamics Equations." Acta Mathematica Sinica-English Series 34(6): 992-1000.
29. W. Wang and G. Wu (2018). "Global Mild Solution of Stochastic Generalized Navier-Stokes Equations with Coriolis Force." Acta Mathematica Sinica-English Series 34(11): 1635-1647.
30. Y. Wang, G. Wu and D. Zhou (2018). "Some Interior Regularity Criteria Involving Two Components for Weak Solutions to the 3D Navier–Stokes Equations." Journal of Mathematical Fluid Mechanics 20(4): 2147-2159.
31. Y. Wang, G. Wu and D. Zhou (2019). "A regularity criterion at one scale without pressure for suitable weak solutions to the Navier-Stokes equations." Journal of Differential Equations 267(8): 4673-4704.