Publications
Research interests: existence and stability of nonlinear waves, fluid dynamics, Navier-Stokes equations, Magnetohydrodynamics (MHD) equations, Boussinesq equations, Oldroyd-B model.
Research interests: existence and stability of nonlinear waves, fluid dynamics, Navier-Stokes equations, Magnetohydrodynamics (MHD) equations, Boussinesq equations, Oldroyd-B model.
13. W. Feng, W. Wang, and J. Wu, Stability for a system of the 2D incompressible MHD equations with fractional dissipation, J. Math. Fluid Mech. 26, 57 (2024). https://doi.org/10.1007/s00021-024-00892-1
12. W. Feng, W. Wang, and J. Wu, Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction, Journal of Evolution Equations, 23, 32 (2023). http://doi.org/10.1007/s00028-023-00886-y
11. W. Feng, J. He, and W. Wang, Quantitative bounds of critically bounded solutions to the Navier-Stokes equations in Lorentz spaces, submitted for publication, 2023
10. W. Feng, F. Hafeez, D. Regmi, J. Wu, Stability and exponential decay for Magnetohydrodynamic equations, Proc. Roy. Soc. Edinburgh Sect. A, 2022. https://doi.org/10.1017/prm.2022.23
9. W. Feng, F. Hafeez and J. Wu, Stabilizing effect of the magnetic field and large-time behavior of 2D incompressible MHD system with vertical dissipation, J. Math. Fluid Mech. 25, 33 (2023). https://doi.org/10.1007/s00021-023-00762-2
8. W. Feng, W. Wang and J. Wu, Global existence and stability for the 2D Oldroyd-B model with mixed partial dissipation, Proc. Amer. Math. Soc., 2022. https://doi.org/10.1090/proc/16039
7. W. Feng, M. Stanislavova and A. Stefanov, On the Barashenkov-Bogdan-Zhanlav solitons and their stability, Chaos, Solitons and Fractals, 152 (2021), 111467.
6. W. Feng, F. Hafeez and J. Wu, Influence of a background magnetic field on a 2D magnetohydrodynamic flow, Nonlinearity, 34 (2021), No.4, 2527-2562.
5. W. Feng and S. Levandosky, Stability of Solitary Waves of a Nonlinear Beam Equation, Journal of Differential Equations, 269 (2020), 10037-10072.
4. W. Feng and M. Stanislavova, On the spectral stability of standing waves of nonlocal PT-symmetric systems, Mathematics of Wave Phenomena , 145-162, 2020.
3. W. Feng, Analytical studies of standing waves in three NLS models, Ph.D Thesis, 2018.
2. W. Feng and M. Stanislavova, On the vortices for the NLS in higher dimensions, Philosophical Transactions A, doi:10.1098/rsta.2017.0189, 2018.
1. W. Feng, M. Stanislavova, and A. Stefanov, On the spectral stability of ground states of semi-linear Schrödinger and Klein-Gordon equations with fractional dispersion, Communications in Pure and Applied Analysis, 17(4): 1371-1385, 2018.