Representative Publications： [1] Wang, Yanqing*; Chkhetiani, Otto; Four-thirds law of energy and magnetic helicity in electron and Hall magneto hydrodynamic fluids. Phys. D 454 (2023), Paper No. 133835. [2] Liu, Jitao; Wang, Yanqing*; Ye, Yulin. Energy conservation of weak solutions for the incompressible Euler equations via vorticity. J. Differential Equations 372 (2023), 254–279. [3] Wang, Yanqing; Ye, Yulin*; Yu, Huan. The role of density in the energy conservation for the isentropic compressible Euler equations. J. Math. Phys. 64 (2023), no. 6, Paper No. 061504, 16 pp. [4] Wei, Wei; Wang, Yanqing*; Ye, Yulin. Gagliardo-Nirenberg inequalities in Lorentz type spaces. J. Fourier Anal. Appl. 29 (2023), no. 3, Paper No. 35, 30 pp. [5] Wang, Yanqing; Ye, Yulin*; Yu, Huan; Energy Conservation for the Generalized Surface Quasi-geostrophic Equation. J. Math. Fluid Mech. 25 (2023), no. 3, 70. 35. [6] Wang, Yanqing; Ye, Yulin*. A general sufficient criterion for energy conservation in the Navier-Stokes system Math. Methods Appl. Sci. 46 (2023), no. 8, 9268–9285. [7] Ye, Yulin; Guo, Peixian;Wang, Yanqing*. Energy conservation of the compressible Euler equations and the Navier-Stokes equations via the gradient. Nonlinear Anal. 230 (2023), Paper No. 113219, 18 pp. [8] Wang, Yanqing; Jiu, Quansen; Wei, Wei*.Leray's backward self-similar solutions to the 3D Navier-Stokes equations in Morrey spaces. SIAM J. Math. Anal. 54 (2022), no. 3, 2768–2791. [9] Ye, Yuli; Wang, Yanqing*, WeiWei. Energy equality in the isentropic compressible Navier-Stokes equations allowing vacuum. J. Differential Equations. 338 (2022), 551–571. [10] Wang, Yanqing; Wei, Wei; Yu, Huan. $\varepsilon$-regularity criteria for the 3D Navier-Stokes equations in Lorentz spaces. J. Evol. Equ. 21 (2021), no. 2, 1627–1650. [11] Ji, Xiang; Wang, Yanqing*; Wei, Wei .New regularity criteria based on pressure or gradient of velocity in Lorentz spaces for the 3D Navier-Stokes equations. J. Math. Fluid Mech. 22 (2020), no. 1, Art. 13, 8 pp. [12] He, Cheng; Wang, Yanqing; Zhou, Daoguo. New ε-Regularity Criteria of Suitable Weak Solutions of the 3D Navier–Stokes Equations at One Scale. J. Nonlinear Sci. 29 (2019), no. 6, 2681–2698. [13] Wang, Yanqing; Minsuk Yang. Improved bounds for box dimensions of potential singular points to the Navier–Stokes equations. Nonlinearity, 32 (2019) 4817–4833. [14] Wang, Yanqing; Wu, Gang; Zhou, Daoguo A regularity criterion at one scale without pressure for suitable weak solutions to the Navier-Stokes equations. J. Differential Equations 267 (2019), no. 8, 4673–4704. [15] Wang, Yanqing; Wu, Gang On the box-counting dimension of the potential singular set for suitable weak solutions to the 3D Navier-Stokes equations. Nonlinearity 30 (2017), no. 5, 1762–1772. [16] Ren, Wei; Wang, Yanqing; Wu, Gang. Partial regularity of suitable weak solutions to the multi-dimensional generalized magneto hydrodynamics equations. Commun. Contemp. Math. 18 (2016), no. 6, 1650018, 38 pp. [17] Jiu, Quansen; Wang, Yanqing; Wu, Gang. Partial regularity of the suitable weak solutions to the multi-dimensional incompressible Boussinesq equations. J. Dynam. Differential Equations 28 (2016), no. 2, 567–591. |
Academic Activities: [1] Workshop Mathematics Alumni of Henan University, Four-thirds law of energy and magnetic helicity in electron and Hall magneto hydrodynamic fluids, 2023.08.16-17. [2] Northeast Partial Differential Equations Seminar, Fractal dimension of potential singular points set in the Navier-Stokes equations. Dalian University of Technology. 2023.06.14-15. online. [3] Boundary Layer Theory and Related Problems in Fluid Mechanics conference. Leray's backward self-similar solutions to the 3D Navier-Stokes equations in Morrey spaces. Beijing University of Technology. 2022.06.25-26. online. [3] Workshop on Nonlinear PDE Theory and Applications, Leray’s backward self-similar solutions to the 3D Navier-Stokes equations in Morrey spaces Capital Normal University.2021.12.4-5. Online. [4] Leray's backward self-similar solutions to the 3D Navier-Stokes equations in Morrey spaces, Henan University. 2021.09.14，online. [5] Energy equality in the Naiver-Stokes equations, Guangzhou University, 2021.09.08, online. [6] Workshop UNICAM-ZZULI Building Research Bridges, Recent progress in regularity criteria for Navier Stokes equations in Lorentz space, 2021.03.30-04.01 online. [7] Conference，The 11th Henan Symposium on Nonlinear Partial Differential Equations. On the box dimension of singular points of suitable weak solutions in the Navier-Stokes equations, Luoyang, 2019.05.10-12 Conference Organizer: [1] Conference organizer at ZZULI:, Seminar on Partial Differential Equations in Fluid Mechanics, July 15-16, 2023. [2] Conference co-organizer at ZZULI: Seminar on Integrable Systems and Partial Differential Equations in Fluid Mechanics, July 28, 2022. Service： Referee for: Physica D: Nonlinear Phenomena, Journal of Differential Equations, Zeitschrift für angewandte Mathematik und Physik, Applied Mathematics Letters., Mathematical Methods in the Applied Sciences, Nonlinear Analysis. |
