MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: Well‐Posedness Theory CJ Liu, F Xie, T Yang Communications on Pure and Applied Mathematics 72 (1), 63-121, 2019 | 95 | 2019 |
Global solution for a one-dimensional model problem in thermally radiative magnetohydrodynamics J Zhang, F Xie Journal of Differential Equations 245 (7), 1853-1882, 2008 | 65 | 2008 |
Justification of Prandtl ansatz for MHD boundary layer CJ Liu, F Xie, T Yang SIAM Journal on Mathematical Analysis 51 (3), 2748-2791, 2019 | 64 | 2019 |
Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces CJ Liu, D Wang, F Xie, T Yang Journal of Functional Analysis 279 (7), 108637, 2020 | 50 | 2020 |
Nonrelativistic Limit of the Compressible Navier--Stokes--Fourier--P1 Approximation Model Arising in Radiation Hydrodynamics S Jiang, F Li, F Xie SIAM Journal on Mathematical Analysis 47 (5), 3726-3746, 2015 | 44 | 2015 |
Global weak solutions of an initial boundary value problem for screw pinches in plasma physics J Zhang, S Jiang, F Xie Mathematical Models and Methods in Applied Sciences 19 (06), 833-875, 2009 | 42 | 2009 |
Asymptotic stability of viscous contact wave for the 1D radiation hydrodynamics system J Wang, F Xie Journal of Differential Equations 251 (4-5), 1030-1055, 2011 | 41 | 2011 |
A note on the ill-posedness of shear flow for the MHD boundary layer equations CJ Liu, F Xie, T Yang Science China Mathematics https://doi.org/10.1007/s11425-017-9306-0, 2018 | 33 | 2018 |
Lifespan of solutions to MHD boundary layer equations with analytic perturbation of general shear flow F Xie, T Yang Acta Mathematicae Applicatae Sinica, English Series 35, 209-229, 2019 | 30 | 2019 |
NONLINEAR STABILITY OF COMBINATION OF VISCOUS CONTACT WAVE WITH RAREFACTION WAVES FOR A 1D RADIATION HYDRODYNAMICS MODEL. F Xie Discrete & Continuous Dynamical Systems-Series B 17 (3), 2012 | 30 | 2012 |
Global-in-Time Stability of 2D MHD Boundary Layer in the Prandtl--Hartmann Regime F Xie, T Yang SIAM Journal on Mathematical Analysis 50 (6), 5749-5760, 2018 | 27 | 2018 |
Singular limit to strong contact discontinuity for a 1D compressible radiation hydrodynamics model J Wang, F Xie SIAM journal on mathematical analysis 43 (3), 1189-1204, 2011 | 26 | 2011 |
Local well-posedness of Prandtl equations for compressible flow in two space variables YG Wang, F Xie, T Yang SIAM Journal on Mathematical Analysis 47 (1), 321–346, 2015 | 24 | 2015 |
Global existence and asymptotic behavior of weak solutions to the 1D compressible Navier–Stokes equations with degenerate viscosity coefficient Z Guo, S Jiang, F Xie Asymptotic Analysis 60 (1-2), 101-123, 2008 | 22 | 2008 |
HYPERBOLIC-HYPERBOLIC RELAXATION LIMIT FOR A 1D COMPRESSIBLE RADIATION HYDRODYNAMICS MODEL: SUPERPOSITION OF RAREFACTION AND CONTACT WAVES. C Rohde, W Wang, F Xie Communications on Pure & Applied Analysis 12 (5), 2013 | 20 | 2013 |
Decay rates to viscous contact waves for a 1D compressible radiation hydrodynamics model C Rohde, F Xie Mathematical Models and Methods in Applied Sciences 23 (03), 441-469, 2013 | 20 | 2013 |
Asymptotic stability of viscous contact wave for the one-dimensional compressible viscous gas with radiation J Wang, F Xie Nonlinear Analysis: Theory, Methods & Applications 74 (12), 4138-4151, 2011 | 18 | 2011 |
Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions L Guo, F Li, F Xie Journal of Differential Equations 267 (12), 6910-6957, 2019 | 17 | 2019 |
The initial value problem for a multi‐dimensional radiation hydrodynamics model with viscosity W Wang, F Xie Mathematical Methods in the Applied Sciences 34 (7), 776-791, 2011 | 17 | 2011 |
MHD boundary layers in Sobolev spaces without monotonicity. II. convergence theory CJ Liu, F Xie, T Yang arXiv preprint arXiv:1704.00523, 2017 | 14 | 2017 |