Lin, Xue-yun; Liu, Cheng-jie; Zhang, Ting Magneto-micropolar boundary layers theory in Sobolev spaces without monotonicity: well-posedness and convergence theory. (English) Zbl 07819605 Calc. Var. Partial Differ. Equ. 63, No. 3, Paper No. 76, 62 p. (2024). MSC: 35Q35 76W05 76D10 76U05 35B30 35M33 35B40 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{X.-y. Lin} et al., Calc. Var. Partial Differ. Equ. 63, No. 3, Paper No. 76, 62 p. (2024; Zbl 07819605) Full Text: DOI
Chang, Shengchuang; Duan, Ran Rayleigh-Taylor instability for incompressible viscous quantum flows. (English) Zbl 1526.76022 J. Math. Anal. Appl. 530, No. 1, Article ID 127636, 24 p. (2024). MSC: 76E17 76E30 76Y05 76D05 76M30 35Q35 PDFBibTeX XMLCite \textit{S. Chang} and \textit{R. Duan}, J. Math. Anal. Appl. 530, No. 1, Article ID 127636, 24 p. (2024; Zbl 1526.76022) Full Text: DOI
Zhang, Xuyan; Tian, Fangfang; Wang, Weiwei On Rayleigh-Taylor instability in Navier-Stokes-Korteweg equations. (English) Zbl 07781476 J. Inequal. Appl. 2023, Paper No. 119, 30 p. (2023). MSC: 35Q35 76E17 76E25 76E30 76D45 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Inequal. Appl. 2023, Paper No. 119, 30 p. (2023; Zbl 07781476) Full Text: DOI OA License
Huang, Wenting; Fu, Shengbin The Cauchy problem for the nonisentropic compressible MHD fluids: optimal time-decay rates. (English) Zbl 07780292 Math. Methods Appl. Sci. 46, No. 8, 9708-9735 (2023). MSC: 35Q35 76W05 76N10 35B45 35G25 35P20 35D35 35B20 41A25 35A01 35A02 PDFBibTeX XMLCite \textit{W. Huang} and \textit{S. Fu}, Math. Methods Appl. Sci. 46, No. 8, 9708--9735 (2023; Zbl 07780292) Full Text: DOI
Fu, Shengbin; Wang, Weiwei The optimal temporal decay rates for compressible Hall-magnetohydrodynamics system. (English) Zbl 07735995 J. Math. Fluid Mech. 25, No. 4, Paper No. 78, 20 p. (2023). MSC: 76W05 35Q35 PDFBibTeX XMLCite \textit{S. Fu} and \textit{W. Wang}, J. Math. Fluid Mech. 25, No. 4, Paper No. 78, 20 p. (2023; Zbl 07735995) Full Text: DOI
Li, Fucai; Zhang, Zhipeng Stabilizing effect of capillarity in the Rayleigh-Taylor problem to the viscous incompressible capillary fluids. (English) Zbl 1522.35367 SIAM J. Math. Anal. 55, No. 4, 3287-3315 (2023). MSC: 35Q30 76D03 76E09 76D45 PDFBibTeX XMLCite \textit{F. Li} and \textit{Z. Zhang}, SIAM J. Math. Anal. 55, No. 4, 3287--3315 (2023; Zbl 1522.35367) Full Text: DOI
Zhang, Yajie; Wang, Jialiang; Han, Jiang Stability near hydrostatic equilibrium to the three-dimensional magnetic Bénard fluid equations with partial dissipation. (English) Zbl 07731160 Rocky Mt. J. Math. 53, No. 3, 983-1000 (2023). MSC: 35Q35 76W05 76R10 76D03 76E25 80A19 35A01 35B35 35B65 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Rocky Mt. J. Math. 53, No. 3, 983--1000 (2023; Zbl 07731160) Full Text: DOI Link
Wilke, Mathias On the Rayleigh-Taylor instability for the two-phase Navier-Stokes equations in cylindrical domains. (English) Zbl 1514.35368 Interfaces Free Bound. 24, No. 4, 487-531 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35R35 35B35 35B32 35B65 76D03 76D05 76D45 76E17 PDFBibTeX XMLCite \textit{M. Wilke}, Interfaces Free Bound. 24, No. 4, 487--531 (2022; Zbl 1514.35368) Full Text: DOI arXiv
Sun, Rui; Guo, Yuting; Wang, Weiwei Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations. (English) Zbl 1503.35185 Bound. Value Probl. 2022, Paper No. 76, 26 p. (2022). MSC: 35Q35 76W05 76N10 35D35 35A01 PDFBibTeX XMLCite \textit{R. Sun} et al., Bound. Value Probl. 2022, Paper No. 76, 26 p. (2022; Zbl 1503.35185) Full Text: DOI
Li, Jiedi; Fu, Shengbin; Wang, Weiwei On time-decay rates of strong solutions for the 3D magnetohydrodynamics equations with nonlinear damping. (English) Zbl 1504.35347 J. Math. Anal. Appl. 515, No. 2, Article ID 126450, 25 p. (2022). MSC: 35Q35 76W05 76N10 35D35 35B20 35B45 35A01 35A02 PDFBibTeX XMLCite \textit{J. Li} et al., J. Math. Anal. Appl. 515, No. 2, Article ID 126450, 25 p. (2022; Zbl 1504.35347) Full Text: DOI
Jiang, Fei; Jiang, Song; Zhao, Youyi On inhibition of the Rayleigh-Taylor instability by a horizontal magnetic field in ideal MHD fluids with velocity damping. (English) Zbl 1508.35076 J. Differ. Equations 314, 574-652 (2022). MSC: 35Q35 76W05 76E25 76B03 35B65 PDFBibTeX XMLCite \textit{F. Jiang} et al., J. Differ. Equations 314, 574--652 (2022; Zbl 1508.35076) Full Text: DOI arXiv
Dou, Changsheng; Wang, Jialiang; Wang, Weiwei A new upper bound for the largest growth rate of linear Rayleigh-Taylor instability. (English) Zbl 1504.76034 J. Inequal. Appl. 2021, Paper No. 78, 28 p. (2021). MSC: 76E17 35Q35 76E25 76W05 76D05 PDFBibTeX XMLCite \textit{C. Dou} et al., J. Inequal. Appl. 2021, Paper No. 78, 28 p. (2021; Zbl 1504.76034) Full Text: DOI arXiv
Jiang, Fei Stabilizing effect of elasticity on the motion of viscoelastic/elastic fluids. (English) Zbl 1496.35320 Electron. Res. Arch. 29, No. 6, 4051-4074 (2021). MSC: 35Q35 35Q31 76A10 76B03 76T06 76E06 76E17 74B10 35B10 35R35 PDFBibTeX XMLCite \textit{F. Jiang}, Electron. Res. Arch. 29, No. 6, 4051--4074 (2021; Zbl 1496.35320) Full Text: DOI
Huang, Wenting; Lin, Xueyun; Wang, Weiwei Decay-in-time of the highest-order derivatives of solutions for the compressible isentropic MHD equations. (English) Zbl 1470.35283 J. Math. Anal. Appl. 502, No. 2, Article ID 125273, 32 p. (2021). MSC: 35Q35 76W05 76N10 35B65 35A01 PDFBibTeX XMLCite \textit{W. Huang} et al., J. Math. Anal. Appl. 502, No. 2, Article ID 125273, 32 p. (2021; Zbl 1470.35283) Full Text: DOI
Zhao, Youyi; Wang, Weiwei On the Rayleigh-Taylor instability in compressible viscoelastic fluids under \(L^1\)-norm. (English) Zbl 1447.76015 J. Comput. Appl. Math. 383, Article ID 113130, 21 p. (2021). MSC: 76E17 76E30 76A10 35Q35 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{W. Wang}, J. Comput. Appl. Math. 383, Article ID 113130, 21 p. (2021; Zbl 1447.76015) Full Text: DOI
Jiang, Fei; Jiang, Song; Zhan, Weicheng Instability of the abstract Rayleigh-Taylor problem and applications. (English) Zbl 1462.76070 Math. Models Methods Appl. Sci. 30, No. 12, 2299-2388 (2020). MSC: 76E17 76E25 76E30 76D50 35Q35 PDFBibTeX XMLCite \textit{F. Jiang} et al., Math. Models Methods Appl. Sci. 30, No. 12, 2299--2388 (2020; Zbl 1462.76070) Full Text: DOI arXiv
Liu, Mengmeng; Song, Fangying; Wang, Weiwei On Parker instability under \(L^2\)-norm. (English) Zbl 1433.76185 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111697, 27 p. (2020). MSC: 76W05 35Q35 76E17 PDFBibTeX XMLCite \textit{M. Liu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111697, 27 p. (2020; Zbl 1433.76185) Full Text: DOI
Ma, Xingrui; Xiong, Xianzhu On effect of surface tension in the Rayleigh-Taylor problem of stratified viscoelastic fluids. (English) Zbl 1524.76178 Bound. Value Probl. 2019, Paper No. 156, 29 p. (2019). MSC: 76E17 76A10 35Q35 76D45 PDFBibTeX XMLCite \textit{X. Ma} and \textit{X. Xiong}, Bound. Value Probl. 2019, Paper No. 156, 29 p. (2019; Zbl 1524.76178) Full Text: DOI
Tan, Zhidan; Wang, Weiwei On classical solutions of Rayleigh-Taylor instability in inhomogeneous viscoelastic fluids. (English) Zbl 1524.76180 Bound. Value Probl. 2019, Paper No. 149, 32 p. (2019). MSC: 76E17 35Q35 35A09 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{W. Wang}, Bound. Value Probl. 2019, Paper No. 149, 32 p. (2019; Zbl 1524.76180) Full Text: DOI
Jiang, Fei; Jiang, Song On the dynamical stability and instability of parker problem. (English) Zbl 1451.76053 Physica D 391, 17-51 (2019). MSC: 76E25 76W05 76N15 35B35 35B30 PDFBibTeX XMLCite \textit{F. Jiang} and \textit{S. Jiang}, Physica D 391, 17--51 (2019; Zbl 1451.76053) Full Text: DOI arXiv
Tan, Zhidan; Wang, Weiwei Instability solutions for the Rayleigh-Taylor problem of non-homogeneous viscoelastic fluids in bounded domains. (English) Zbl 1416.35217 J. Math. Anal. Appl. 476, No. 2, 773-800 (2019). MSC: 35Q35 76A10 35D35 35B35 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{W. Wang}, J. Math. Anal. Appl. 476, No. 2, 773--800 (2019; Zbl 1416.35217) Full Text: DOI
Jiang, Fei; Jiang, Song Nonlinear stability and instability in the Rayleigh-Taylor problem of stratified compressible MHD fluids. (English) Zbl 1414.76023 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 29, 61 p. (2019). Reviewer: Shlomo Carmi (Baltimore) MSC: 76E25 76E30 76W05 76N10 PDFBibTeX XMLCite \textit{F. Jiang} and \textit{S. Jiang}, Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 29, 61 p. (2019; Zbl 1414.76023) Full Text: DOI arXiv
Jiang, Yi; Li, Xianjuan; Zhao, Youyi On the stability of Rayleigh-Taylor problem for stratified rotating viscoelastic fluids. (English) Zbl 1499.35502 Bound. Value Probl. 2018, Paper No. 122, 29 p. (2018). MSC: 35Q35 76A10 76E17 76D05 76E25 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Bound. Value Probl. 2018, Paper No. 122, 29 p. (2018; Zbl 1499.35502) Full Text: DOI
Chen, Yuping; Wang, Weiwei; Zhao, Youyi On effects of elasticity and magnetic fields in the linear Rayleigh-Taylor instability of stratified fluids. (English) Zbl 1498.76036 J. Inequal. Appl. 2018, Paper No. 203, 31 p. (2018). MSC: 76E17 76E25 76B70 76D50 76D05 76W05 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Inequal. Appl. 2018, Paper No. 203, 31 p. (2018; Zbl 1498.76036) Full Text: DOI
Zhao, Youyi; Wang, Weiwei Nonlinear convective instability in the compressible magnetic convection problem without heat conductivity. (English) Zbl 1443.76131 J. Math. Anal. Appl. 467, No. 1, 480-500 (2018). MSC: 76E15 76W05 76N10 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{W. Wang}, J. Math. Anal. Appl. 467, No. 1, 480--500 (2018; Zbl 1443.76131) Full Text: DOI
Wang, Weiwei; Zhao, Youyi On the Rayleigh-Taylor instability in compressible viscoelastic fluids. (English) Zbl 1444.76016 J. Math. Anal. Appl. 463, No. 1, 198-221 (2018). MSC: 76A10 76E17 76N10 PDFBibTeX XMLCite \textit{W. Wang} and \textit{Y. Zhao}, J. Math. Anal. Appl. 463, No. 1, 198--221 (2018; Zbl 1444.76016) Full Text: DOI
Jiang, Fei; Jiang, Song On the stabilizing effect of the magnetic fields in the magnetic Rayleigh-Taylor problem. (English) Zbl 1387.76034 SIAM J. Math. Anal. 50, No. 1, 491-540 (2018). MSC: 76E25 PDFBibTeX XMLCite \textit{F. Jiang} and \textit{S. Jiang}, SIAM J. Math. Anal. 50, No. 1, 491--540 (2018; Zbl 1387.76034) Full Text: DOI
Wang, Weiwei; Zhao, Youyi Time-decay solutions of the initial-boundary value problem of rotating magnetohydrodynamic fluids. (English) Zbl 1375.35036 Bound. Value Probl. 2017, Paper No. 114, 31 p. (2017). MSC: 35B35 76W05 76U05 PDFBibTeX XMLCite \textit{W. Wang} and \textit{Y. Zhao}, Bound. Value Probl. 2017, Paper No. 114, 31 p. (2017; Zbl 1375.35036) Full Text: DOI
Huang, Gengjie; Jiang, Fei; Wang, Weiwei On the nonlinear Rayleigh-Taylor instability of nonhomogeneous incompressible viscoelastic fluids under \(L^{2}\)-norm. (English) Zbl 1432.76040 J. Math. Anal. Appl. 455, No. 2, 873-904 (2017). MSC: 76A10 35Q35 PDFBibTeX XMLCite \textit{G. Huang} et al., J. Math. Anal. Appl. 455, No. 2, 873--904 (2017; Zbl 1432.76040) Full Text: DOI
Jiang, Fei; Jiang, Song; Wu, Guochun On stabilizing effect of elasticity in the Rayleigh-Taylor problem of stratified viscoelastic fluids. (English) Zbl 1446.76063 J. Funct. Anal. 272, No. 9, 3763-3824 (2017). MSC: 76A10 76D05 76D45 76E17 PDFBibTeX XMLCite \textit{F. Jiang} et al., J. Funct. Anal. 272, No. 9, 3763--3824 (2017; Zbl 1446.76063) Full Text: DOI
Jiang, Fei; Jiang, Song On linear instability and stability of the Rayleigh-Taylor problem in magnetohydrodynamics. (English) Zbl 1327.76074 J. Math. Fluid Mech. 17, No. 4, 639-668 (2015). MSC: 76E25 35Q30 PDFBibTeX XMLCite \textit{F. Jiang} and \textit{S. Jiang}, J. Math. Fluid Mech. 17, No. 4, 639--668 (2015; Zbl 1327.76074) Full Text: DOI arXiv
Jiang, Fei; Jiang, Song; Wang, Weiwei On the Rayleigh-Taylor instability for two uniform viscous incompressible flows. (English) Zbl 1299.76076 Chin. Ann. Math., Ser. B 35, No. 6, 907-940 (2014). MSC: 76E17 76D05 PDFBibTeX XMLCite \textit{F. Jiang} et al., Chin. Ann. Math., Ser. B 35, No. 6, 907--940 (2014; Zbl 1299.76076) Full Text: DOI