Zihua Guo and Zeng Zhang, On the convergence to the Navier–Stokes–Maxwell system with solenoidal Ohm's law, J. Evol. Equ. 25, no. 3, Paper No. 76, 2025.
Xing Cheng, Zihua Guo, Gyeongha Hwang and Haewon Yoon. Global well-posedness and scattering of the two dimensional cubic focusing nonlinear Schrödinger system, J. Differential Equations 433, 113225, 2025.
Zijun Chen, Zihua Guo and Chuanyan Huang. Complex-valued solutions of the mKdV equations in generalized Fourier-Lebesgue spaces, Proc. Amer. Math. Soc. 153, no. 4, 1621–1640, 2025.
Xing Cheng, Chang-Yu Guo, Zihua Guo, Xian Liao and Jia Shen. Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials, Anal. PDE 17, no. 10, 3371-3446, 2024.
Yanping Chen, Zihua Guo, and Tian Tian. A uniform Besov boundedness and the well-posedness of the generalized dissipative quasi-geostrophic equation in the critical Besov space. Forum Math., 36(2):403–416, 2024.
Xianghong Chen, Zihua Guo, Minxing Shen, and Lixin Yan. On smoothing estimates for Schrodinger equations on product spaces Tm*Rn. J. Funct. Anal., 286(4):Paper No. 110262, 17, 2024.
Yanping Chen and Zihua Guo. Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation. J. Differential Equations, 378:871–917, 2024.
Xing Cheng, Zihua Guo, and Satoshi Masaki. Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions. Vietnam J. Math., 51(4):869–909, 2023.
Zihua Guo, Chunyan Huang, and Liang Song. Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations. J. Differential Equations, 366:71–84, 2023.
Yanping Chen and Zihua Guo. Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation. J. Differential Equations, 346:205–228, 2023.
Zihua Guo and Chunyan Huang. Well-posedness of the modified dispersion-generalized Benjamin-Ono equations in modulation spaces. J. Math. Anal. Appl., 509(1):Paper No. 125933, 20, 2022.
Zihua Guo and Kenji Nakanishi. The Zakharov system in 4D radial energy space below the ground state. Amer. J. Math., 143(5):1527–1600, 2021.
Yanping Chen and Zihua Guo. An extension of Calderón-Zygmund type singular integral with non-smooth kernel. J. Funct. Anal., 281(9):Paper No. 109196, 21, 2021.
Zihua Guo and Kuijie Li. Remarks on the well-posedness of the Euler equations in the Triebel-Lizorkin spaces. J. Fourier Anal. Appl., 27(2):Paper No. 29, 24, 2021.
Tyler Bongers, Zihua Guo, Ji Li, and Brett D. Wick. Commutators of Hilbert transforms along monomial curves. Studia Math., 257(3):295–311, 2021.
Xing Cheng, Zihua Guo, and Zehua Zhao. On Scattering for the Defocusing Quintic Non- linear Schrödinger Equation on the Two-Dimensional Cylinder. SIAM J. Math. Anal., 52(5):4185–4237, 2020.
Zihua Guo and Jia Shen. Scattering below the ground state for the 2D non-linear Schrödinger and Klein–Gordon equations revisited. J. Math. Phys., 61(8):081507, 20, 2020.
Xing Cheng, Zihua Guo, Kailong Yang, and Lifeng Zhao. On scattering for the cubic defocusing nonlinear Schrödinger equation on the waveguide R2 × T. Rev. Mat. Iberoam., 36(4):985–1011, 2020.
Zihua Guo, Cui Ning, and Yifei Wu. Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the critical frequency case. Math. Res. Lett., 27(2):339–375, 2020.
Zihua Guo and Jia Shen. Scattering for the quadratic Klein-Gordon equations. NoDEA Nonlinear Differential Equations Appl., 27(3):Paper No. 31, 33, 2020.
Zihua Guo, Xiaolong Han, and Melissa Tacy. Lp bilinear quasimode estimates. J. Geom. Anal., 29(3):2242–2289, 2019.
Zihua Guo, Xiaochuan Liu, Xingxing Liu, and Changzheng Qu. Stability of peakons for the generalized modified Camassa-Holm equation. J. Differential Equations, 266(12):7749–7779, 2019.
Zihua Guo, Jinlu Li, and Zhaoyang Yin. Local well-posedness of the incompressible Euler equations in B∞1 ,1 and the inviscid limit of the Navier-Stokes equations. J. Funct. Anal., 276(9):2821–2830, 2019.
Zihua Guo, Xingxing Liu, Luc Molinet, and Zhaoyang Yin. Ill-posedness of the Camassa-Holm and related equations in the critical space. J. Differential Equations, 266(2-3):1698– 1707, 2019.
Zihua Guo, Yannick Sire, Yuzhao Wang, and Lifeng Zhao. On the energy-critical fractional Schrödinger equation in the radial case. Dyn. Partial Differ. Equ., 15(4):265–282, 2018.
Zihua Guo, Ji Li, Kenji Nakanishi, and Lixin Yan. On the boundary Strichartz estimates for wave and Schrödinger equations. J. Differential Equations, 265(11):5656–5675, 2018.
Zihua Guo and Tadahiro Oh. Non-existence of solutions for the periodic cubic NLS below L2. Int. Math. Res. Not. IMRN, (6):1656–1729, 2018.
Zihua Guo, Zaher Hani, and Kenji Nakanishi. Scattering for the 3D Gross-Pitaevskii equation. Comm. Math. Phys., 359(1):265–295, 2018.
Jaywan Chung, Zihua Guo, Soonsik Kwon, and Tadahiro Oh. Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle. Ann. Inst. H. Poincaré Anal. Non Linéaire, 34(5):1273–1297, 2017.
Zihua Guo and Chunyan Huang. The inviscid limit for the Landau-Lifshitz-Gilbert equation in the critical Besov space. Sci. China Math., 60(11):2155–2172, 2017.
Zihua Guo and Yifei Wu. Global well-posedness for the derivative nonlinear Schrödinger equation in H 1/2 (R). Discrete Contin. Dyn. Syst., 37(1):257–264, 2017.
Zihua Guo. Spherically averaged maximal function and scattering for the two-dimensional cubic derivative Schrödinger equation. Int. Math. Res. Not. IMRN, (20):6210–6244, 2016.
Zihua Guo. Sharp spherically averaged Strichartz estimates for the Schrödinger equation. Nonlinearity, 29(5):1668–1686, 2016.
Ioan Bejenaru, Zihua Guo, Sebastian Herr, and Kenji Nakanishi. Well-posedness and scattering for the Zakharov system in four dimensions. Anal. PDE, 8(8):2029–2055, 2015.
Yonggeun Cho, Zihua Guo, and Sanghyuk Lee. A Sobolev estimate for the adjoint restriction operator. Math. Ann., 362(3-4):799–815, 2015.
Zihua Guo and Yuzhao Wang. Improved Strichartz estimates for a class of dispersive equa- tions in the radial case and their applications to nonlinear Schrödinger and wave equations. J. Anal. Math., 124:1–38, 2014.
Zihua Guo, Tadahiro Oh, and Yuzhao Wang. Strichartz estimates for Schrödinger equations on irrational tori. Proc. Lond. Math. Soc. (3), 109(4):975–1013, 2014.
Zihua Guo, Kenji Nakanishi, and Shuxia Wang. Small energy scattering for the Klein- Gordon-Zakharov system with radial symmetry. Math. Res. Lett., 21(4):733–755, 2014.
Zihua Guo, Sanghyuk Lee, Kenji Nakanishi, and Chengbo Wang. Generalized Strichartz estimates and scattering for 3D Zakharov system. Comm. Math. Phys., 331(1):239–259, 2014.
Zihua Guo and Kenji Nakanishi. Small energy scattering for the Zakharov system with radial symmetry. Int. Math. Res. Not. IMRN, (9):2327–2342, 2014.
Zihua Guo, Kenji Nakanishi, and Shuxia Wang. Global dynamics below the ground state energy for the Klein-Gordon-Zakharov system in the 3D radial case. Comm. Partial Differ- ential Equations, 39(6):1158–1184, 2014.
Zihua Guo, Yiquan Lin, and Luc Molinet. Well-posedness in energy space for the periodic modified Banjamin-Ono equation. J. Differential Equations, 256(8):2778–2806, 2014.
Zihua Guo, Nakao Hayashi, Yiquan Lin, and Pavel I. Naumkin. Modified scattering operator for the derivative nonlinear Schrödinger equation. SIAM J. Math. Anal., 45(6):3854–3871, 2013.
Zihua Guo, Chulkwang Kwak, and Soonsik Kwon. Rough solutions of the fifth-order KdV equations. J. Funct. Anal., 265(11):2791–2829, 2013.
Zihua Guo, Soonsik Kwon, and Tadahiro Oh. Poincaré-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS. Comm. Math. Phys., 322(1):19–48, 2013.
Zihua Guo, Kenji Nakanishi, and Shuxia Wang. Global dynamics below the ground state energy for the Zakharov system in the 3D radial case. Adv. Math., 238:412–441, 2013.
Zihua Guo. Local well-posedness for dispersion generalized Benjamin-Ono equations in Sobolev spaces. J. Differential Equations, 252(3):2053–2084, 2012.
Wengu Chen and Zihua Guo. Global well-posedness and I method for the fifth order Korteweg-de Vries equation. J. Anal. Math., 114:121–156, 2011.
Zihua Guo. Local well-posedness and a priori bounds for the modified Benjamin-Ono equation. Adv. Differential Equations, 16(11-12):1087–1137, 2011.
W. Chen, Z. Guo, and J. Xiao. Sharp well-posedness for the Benjamin equation. Nonlinear Anal., 74(17):6209–6230, 2011.
Zihua Guo, Lizhong Peng, Baoxiang Wang, and Yuzhao Wang. Uniform well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation. Adv. Math., 228(2):647–677, 2011.
Zihua Guo and Zhaoyang Yin. A class of function spaces and its application in solving second-order nonlinear differential equations. Nonlinear Anal., 74(7):2750–2757, 2011.
Zihua Guo, Lizhong Peng, and Baoxiang Wang. On the local regularity of the KP-I equation in anisotropic Sobolev space. J. Math. Pures Appl. (9), 94(4):414–432, 2010.
Zihua Guo and Yuzhao Wang. On the well-posedness of the Schrödinger-Korteweg-de Vries system. J. Differential Equations, 249(10):2500–2520, 2010.
Wengu Chen, Zihua Guo, and Zeping Liu. Sharp local well-posedness for a fifth-order shallow water wave equation. J. Math. Anal. Appl., 369(1):133–143, 2010.
Zihua Guo. Global well-posedness of Korteweg-de Vries equation in H−3/4(R). J. Math. Pures Appl. (9), 91(6):583–597, 2009.
Zihua Guo and Baoxiang Wang. Global well-posedness and inviscid limit for the Korteweg-de Vries-Burgers equation. J. Differential Equations, 246(10):3864–3901, 2009.
Zihua Guo, Lizhong Peng, and Baoxiang Wang. Decay estimates for a class of wave equations. J. Funct. Anal., 254(6):1642–1660, 2008.
Zihua Guo, Pengtao Li, and Lizhong Peng. Lp boundedness of commutators of Riesz trans- forms associated to Schrödinger operator. J. Math. Anal. Appl., 341(1):421–432, 2008.
Zihua Guo and Lizhong Peng. Endpoint Strichartz estimate for the kinetic transport equation in one dimension. C. R. Math. Acad. Sci. Paris, 345(5):253–256, 2007.
Baoxiang Wang, Zhaohui Huo, Chengchun Hao, and Zihua Guo. Harmonic analysis method for nonlinear evolution equations. I. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2011.