Li, Shengxin; Xie, Feng Long time well-posedness of compressible magnetohydrodynamic boundary layer equations in Sobolev spaces. (English) Zbl 07818412 Discrete Contin. Dyn. Syst. 44, No. 4, 943-969 (2024). MSC: 76W05 35Q35 35B30 76N20 PDFBibTeX XMLCite \textit{S. Li} and \textit{F. Xie}, Discrete Contin. Dyn. Syst. 44, No. 4, 943--969 (2024; Zbl 07818412) Full Text: DOI
Lin, Xueyun; Zou, Lin Well-posedness in Gevrey function space for the 3D axially symmetric MHD boundary layer equations without structural assumption. (English) Zbl 07802387 Result. Math. 79, No. 2, Paper No. 91, 51 p. (2024). MSC: 35Q35 76W05 76D03 35B07 35A01 35A02 PDFBibTeX XMLCite \textit{X. Lin} and \textit{L. Zou}, Result. Math. 79, No. 2, Paper No. 91, 51 p. (2024; Zbl 07802387) Full Text: DOI
Gao, Chen; Zhang, Liqun On the steady Prandtl boundary layer expansions. (English) Zbl 1522.35361 Sci. China, Math. 66, No. 9, 1993-2020 (2023). MSC: 35Q30 76D10 PDFBibTeX XMLCite \textit{C. Gao} and \textit{L. Zhang}, Sci. China, Math. 66, No. 9, 1993--2020 (2023; Zbl 1522.35361) Full Text: DOI arXiv
Zou, Lin; Lin, Xueyun Magnetic effects on the solvability of 2D incompressible magneto-micropolar boundary layer equations without resistivity in Sobolev spaces. (English) Zbl 1504.35415 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 224, Article ID 113080, 30 p. (2022). MSC: 35Q35 76A05 76W05 35A01 35A02 35R25 PDFBibTeX XMLCite \textit{L. Zou} and \textit{X. Lin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 224, Article ID 113080, 30 p. (2022; Zbl 1504.35415) Full Text: DOI
Dong, Xiaolei; Qin, Yuming Global well-posedness of solutions to 2D Prandtl-Hartmann equations in analytic framework. (English) Zbl 1513.76125 J. Partial Differ. Equations 35, No. 3, 289-306 (2022). MSC: 76N20 35Q35 35A02 76W05 PDFBibTeX XMLCite \textit{X. Dong} and \textit{Y. Qin}, J. Partial Differ. Equations 35, No. 3, 289--306 (2022; Zbl 1513.76125) Full Text: DOI
Qin, Yuming; Dong, Xiaolei Local existence of solutions to 2D Prandtl equations in a weighted Sobolev space. (English) Zbl 1481.35343 Anal. Math. Phys. 12, No. 1, Paper No. 16, 26 p. (2022). MSC: 35Q35 76D03 76D10 76N20 35A01 PDFBibTeX XMLCite \textit{Y. Qin} and \textit{X. Dong}, Anal. Math. Phys. 12, No. 1, Paper No. 16, 26 p. (2022; Zbl 1481.35343) Full Text: DOI
Fan, Long; Liu, Cheng-Jie; Ruan, Lizhi Local well-posedness of solutions to the boundary layer equations for compressible two-fluid flow. (English) Zbl 1496.35315 Electron. Res. Arch. 29, No. 6, 4009-4050 (2021). MSC: 35Q35 76T06 76N10 76N20 35A01 35A02 35G61 35M13 PDFBibTeX XMLCite \textit{L. Fan} et al., Electron. Res. Arch. 29, No. 6, 4009--4050 (2021; Zbl 1496.35315) Full Text: DOI
Gong, Shengbo; Wang, Xiang On a global weak solution and back flow of the mixed Prandtl-Hartmann boundary layer problem. (English) Zbl 1455.76206 J. Math. Fluid Mech. 23, No. 1, Paper No. 11, 16 p. (2021). MSC: 76W05 76D10 35Q35 PDFBibTeX XMLCite \textit{S. Gong} and \textit{X. Wang}, J. Math. Fluid Mech. 23, No. 1, Paper No. 11, 16 p. (2021; Zbl 1455.76206) Full Text: DOI
Fan, Long; Ruan, Lizhi; Yang, Anita Local well-posedness of solutions to the boundary layer equations for 2D compressible flow. (English) Zbl 1453.76195 J. Math. Anal. Appl. 493, No. 2, Article ID 124565, 25 p. (2021). MSC: 76N20 76N10 35Q35 PDFBibTeX XMLCite \textit{L. Fan} et al., J. Math. Anal. Appl. 493, No. 2, Article ID 124565, 25 p. (2021; Zbl 1453.76195) Full Text: DOI
Liu, Cheng-Jie; Wang, Dehua; Xie, Feng; Yang, Tong Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces. (English) Zbl 1445.76097 J. Funct. Anal. 279, No. 7, Article ID 108637, 44 p. (2020). MSC: 76W05 76D10 35Q35 35Q60 PDFBibTeX XMLCite \textit{C.-J. Liu} et al., J. Funct. Anal. 279, No. 7, Article ID 108637, 44 p. (2020; Zbl 1445.76097) Full Text: DOI arXiv
Liu, Cheng-Jie; Xie, Feng; Yang, Tong Justification of Prandtl ansatz for MHD boundary layer. (English) Zbl 1419.76555 SIAM J. Math. Anal. 51, No. 3, 2748-2791 (2019). MSC: 76N20 35Q35 35G31 35M33 PDFBibTeX XMLCite \textit{C.-J. Liu} et al., SIAM J. Math. Anal. 51, No. 3, 2748--2791 (2019; Zbl 1419.76555) Full Text: DOI arXiv
Huang, Yongting; Liu, Cheng-Jie; Yang, Tong Local-in-time well-posedness for compressible MHD boundary layer. (English) Zbl 1456.35162 J. Differ. Equations 266, No. 6, 2978-3013 (2019). MSC: 35Q35 35M33 76N20 76W05 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Huang} et al., J. Differ. Equations 266, No. 6, 2978--3013 (2019; Zbl 1456.35162) Full Text: DOI arXiv
Liu, Cheng-Jie; Xie, Feng; Yang, Tong A note on the ill-posedness of shear flow for the MHD boundary layer equations. (English) Zbl 1402.35316 Sci. China, Math. 61, No. 11, 2065-2078 (2018). MSC: 35R35 35Q35 35M13 76D10 76N20 35B35 PDFBibTeX XMLCite \textit{C.-J. Liu} et al., Sci. China, Math. 61, No. 11, 2065--2078 (2018; Zbl 1402.35316) Full Text: DOI
Xu, Chao-Jiang; Zhang, Xu Long time well-posedness of Prandtl equations in Sobolev space. (English) Zbl 1378.35252 J. Differ. Equations 263, No. 12, 8749-8803 (2017). MSC: 35Q35 35M13 76D10 76D03 PDFBibTeX XMLCite \textit{C.-J. Xu} and \textit{X. Zhang}, J. Differ. Equations 263, No. 12, 8749--8803 (2017; Zbl 1378.35252) Full Text: DOI arXiv
Wang, Chao; Wang, Yuxi; Zhang, Zhifei Zero-viscosity limit of the Navier-Stokes equations in the analytic setting. (English) Zbl 1480.35313 Arch. Ration. Mech. Anal. 224, No. 2, 555-595 (2017). MSC: 35Q30 76D05 76D09 76B03 PDFBibTeX XMLCite \textit{C. Wang} et al., Arch. Ration. Mech. Anal. 224, No. 2, 555--595 (2017; Zbl 1480.35313) Full Text: DOI