Chen, Zhengzheng; Chen, Changguo Global existence and large-time behavior of solutions to the 1D compressible Navier-Stokes equations with density-dependent viscosity in the half space. (English) Zbl 07807891 Commun. Pure Appl. Anal. 23, No. 1, 88-111 (2024). MSC: 35Q30 76N10 76N15 76N20 76M45 35D35 35L65 35B40 35B20 35A01 35A02 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{C. Chen}, Commun. Pure Appl. Anal. 23, No. 1, 88--111 (2024; Zbl 07807891) Full Text: DOI
Hong, Guangyi; Hou, Xiaofeng; Peng, Hongyun; Zhu, Changjiang Global existence for a class of large solution to compressible Navier-Stokes equations with vacuum. (English) Zbl 07802416 Math. Ann. 388, No. 2, 2163-2194 (2024). MSC: 76N10 76N06 35Q30 PDFBibTeX XMLCite \textit{G. Hong} et al., Math. Ann. 388, No. 2, 2163--2194 (2024; Zbl 07802416) Full Text: DOI
Guo, Zhenhua; Zhang, Xueyao Interface behavior and decay rates of compressible Navier-Stokes system with density-dependent viscosity and a vacuum. (English) Zbl 07784083 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 1, 247-274 (2024). MSC: 35Q30 35R35 76N10 PDFBibTeX XMLCite \textit{Z. Guo} and \textit{X. Zhang}, Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 1, 247--274 (2024; Zbl 07784083) Full Text: DOI
Ding, Shijin; Li, Yinghua; Wang, Yu Global solutions to 1D compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and free-boundary. (English) Zbl 07784080 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 1, 195-214 (2024). MSC: 35Q35 35A02 35A08 35B65 76N10 35R35 PDFBibTeX XMLCite \textit{S. Ding} et al., Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 1, 195--214 (2024; Zbl 07784080) Full Text: DOI
Yu, Haibo Global existence of strong solutions to the 3D isentropic compressible Navier-Stokes equations with density-dependent viscosities. (English) Zbl 07783847 Math. Methods Appl. Sci. 46, No. 9, 10123-10136 (2023). MSC: 35Q30 76N10 35B40 35B45 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{H. Yu}, Math. Methods Appl. Sci. 46, No. 9, 10123--10136 (2023; Zbl 07783847) Full Text: DOI
Geng, Yongcai; Li, Yachun; Zhu, Shengguo On the global-in-time inviscid limit of the 3D degenerate compressible Navier-Stokes equations. (English. French summary) Zbl 1527.35204 J. Math. Pures Appl. (9) 179, 337-390 (2023). MSC: 35Q30 76N06 76B03 35B40 35A09 35M10 35D40 35B65 PDFBibTeX XMLCite \textit{Y. Geng} et al., J. Math. Pures Appl. (9) 179, 337--390 (2023; Zbl 1527.35204) Full Text: DOI arXiv
He, Jianxia; Guo, Zhenhua Global strong solution of 3D inhomogeneous incompressible Navier-Stokes equations with degenerate viscosity. (English) Zbl 07725214 J. Math. Anal. Appl. 528, No. 1, Article ID 127478, 29 p. (2023). MSC: 35Q30 76D05 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{J. He} and \textit{Z. Guo}, J. Math. Anal. Appl. 528, No. 1, Article ID 127478, 29 p. (2023; Zbl 07725214) Full Text: DOI
Huang, Yucong; Wang, Qin; Zhu, Shengguo Singularity formation for the multi-dimensional compressible degenerate Navier-Stokes equations. (English) Zbl 1517.35152 J. Dyn. Differ. Equations 35, No. 2, 1769-1783 (2023). MSC: 35Q30 76N10 76N15 35A01 35B44 35B65 35A09 PDFBibTeX XMLCite \textit{Y. Huang} et al., J. Dyn. Differ. Equations 35, No. 2, 1769--1783 (2023; Zbl 1517.35152) Full Text: DOI
Li, Yinghua; Yan, Yuanxiang; Ding, Shijin; Chen, Gaoyang Global weak solutions for 1D compressible Navier-Stokes/Allen-Cahn system with vacuum. (English) Zbl 1504.35356 Z. Angew. Math. Phys. 74, No. 1, Paper No. 2, 19 p. (2023). MSC: 35Q35 76N10 35D30 35A01 35B45 35R37 PDFBibTeX XMLCite \textit{Y. Li} et al., Z. Angew. Math. Phys. 74, No. 1, Paper No. 2, 19 p. (2023; Zbl 1504.35356) Full Text: DOI
Chen, Geng; Chen, Gui-Qiang G.; Zhu, Shengguo Vanishing viscosity limit of the three-dimensional barotropic compressible Navier-Stokes equations with degenerate viscosities and far-field vacuum. (English) Zbl 1509.35179 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 1, 121-170 (2022). MSC: 35Q30 35Q31 76N10 76B03 35B40 35B65 35A09 35D35 35D40 35K59 PDFBibTeX XMLCite \textit{G. Chen} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 1, 121--170 (2022; Zbl 1509.35179) Full Text: DOI arXiv
Chen, Senming; Zhu, Changjiang The global classical solution to a 1D two-fluid model with density-dependent viscosity and vacuum. (English) Zbl 1502.76103 Sci. China, Math. 65, No. 12, 2563-2582 (2022). MSC: 76T06 76N06 35Q30 PDFBibTeX XMLCite \textit{S. Chen} and \textit{C. Zhu}, Sci. China, Math. 65, No. 12, 2563--2582 (2022; Zbl 1502.76103) Full Text: DOI
Cao, Yue; Li, Hao; Zhu, Shengguo Global regular solutions for one-dimensional degenerate compressible Navier-Stokes equations with large data and far field vacuum. (English) Zbl 1497.35340 SIAM J. Math. Anal. 54, No. 4, 4658-4694 (2022). MSC: 35Q30 35A01 35A02 35B65 35A09 76N06 PDFBibTeX XMLCite \textit{Y. Cao} et al., SIAM J. Math. Anal. 54, No. 4, 4658--4694 (2022; Zbl 1497.35340) Full Text: DOI arXiv
Su, Yunfei; Li, Zilai; Yao, Lei Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model. (English) Zbl 1504.35382 Nonlinear Anal., Real World Appl. 67, Article ID 103625, 42 p. (2022). MSC: 35Q35 35Q86 76N10 76E25 86A05 35D30 PDFBibTeX XMLCite \textit{Y. Su} et al., Nonlinear Anal., Real World Appl. 67, Article ID 103625, 42 p. (2022; Zbl 1504.35382) Full Text: DOI
Ou, Yaobin On globally large smooth solutions of full compressible Navier-Stokes equations with moving boundary and temperature-dependent heat-conductivity. (English) Zbl 1502.35087 Nonlinear Anal., Real World Appl. 64, Article ID 103430, 32 p. (2022). MSC: 35Q30 76N06 35D30 35B65 35B06 35A01 35A02 35R35 PDFBibTeX XMLCite \textit{Y. Ou}, Nonlinear Anal., Real World Appl. 64, Article ID 103430, 32 p. (2022; Zbl 1502.35087) Full Text: DOI
Li, Minling; Yao, Zheng-an; Yu, Rongfeng Non-existence of global classical solutions to barotropic compressible Navier-Stokes equations with degenerate viscosity and vacuum. (English) Zbl 1477.35128 J. Differ. Equations 306, 280-295 (2022). MSC: 35Q30 76N06 35B44 35A09 35A01 PDFBibTeX XMLCite \textit{M. Li} et al., J. Differ. Equations 306, 280--295 (2022; Zbl 1477.35128) Full Text: DOI arXiv
Su, Yifan; Guo, Zhenhua Zero dissipation limit to rarefaction waves for the one-dimensional compressible Navier-Stokes equations with selected density-dependent viscosity. (English) Zbl 1513.76124 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 5, 1635-1658 (2021). MSC: 76N17 76N15 35Q30 35L65 76N06 PDFBibTeX XMLCite \textit{Y. Su} and \textit{Z. Guo}, Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 5, 1635--1658 (2021; Zbl 1513.76124) Full Text: DOI
Dong, Jianwei; Zhang, Litao Analytical solutions to the 1D compressible isothermal Navier-Stokes equations with density-dependent viscosity. (English) Zbl 1498.76081 J. Math. Phys. 62, No. 12, Article ID 121503, 6 p. (2021). Reviewer: Fatma Gamze Duzgun (Ankara) MSC: 76N10 76N06 35Q30 35Q51 PDFBibTeX XMLCite \textit{J. Dong} and \textit{L. Zhang}, J. Math. Phys. 62, No. 12, Article ID 121503, 6 p. (2021; Zbl 1498.76081) Full Text: DOI
Xin, Zhouping; Zhu, Shengguo Global well-posedness of regular solutions to the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum. (English) Zbl 1479.35640 Adv. Math. 393, Article ID 108072, 69 p. (2021). MSC: 35Q30 35A01 35A02 35A09 35B40 35B65 35J70 76N10 PDFBibTeX XMLCite \textit{Z. Xin} and \textit{S. Zhu}, Adv. Math. 393, Article ID 108072, 69 p. (2021; Zbl 1479.35640) Full Text: DOI arXiv
Liu, Yu; Zhang, Ting Global weak solutions to a 2D compressible non-resistivity MHD system with non-monotone pressure law and nonconstant viscosity. (English) Zbl 1466.76048 J. Math. Anal. Appl. 502, No. 1, Article ID 125244, 38 p. (2021). MSC: 76W05 76N10 35Q35 35Q60 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{T. Zhang}, J. Math. Anal. Appl. 502, No. 1, Article ID 125244, 38 p. (2021; Zbl 1466.76048) Full Text: DOI
Zhu, Shengguo On the breakdown of regular solutions with finite energy for 3D degenerate compressible Navier-Stokes equations. (English) Zbl 1468.35116 J. Math. Fluid Mech. 23, No. 3, Paper No. 52, 43 p. (2021). MSC: 35Q30 35M30 76N99 35B44 35A09 35B65 PDFBibTeX XMLCite \textit{S. Zhu}, J. Math. Fluid Mech. 23, No. 3, Paper No. 52, 43 p. (2021; Zbl 1468.35116) Full Text: DOI arXiv
Chen, Senming; Zhu, Changjiang Blow-up criterion and the global existence of strong/classical solutions to Navier-Stokes/Allen-Cahn system. (English) Zbl 1464.35041 Z. Angew. Math. Phys. 72, No. 1, Paper No. 14, 24 p. (2021). MSC: 35B44 35D30 35Q30 76T10 PDFBibTeX XMLCite \textit{S. Chen} and \textit{C. Zhu}, Z. Angew. Math. Phys. 72, No. 1, Paper No. 14, 24 p. (2021; Zbl 1464.35041) Full Text: DOI
Sun, Ying; Zhang, Jianwen; Zhao, Xiaokui Nonlinearly exponential stability for the compressible Navier-Stokes equations with temperature-dependent transport coefficients. (English) Zbl 1464.35254 J. Differ. Equations 286, 676-709 (2021). MSC: 35Q35 76N10 76N15 35D35 35B35 35A01 80A19 PDFBibTeX XMLCite \textit{Y. Sun} et al., J. Differ. Equations 286, 676--709 (2021; Zbl 1464.35254) Full Text: DOI
Chen, Zhengzheng; Wang, Di Global stability of rarefaction waves for the 1D compressible micropolar fluid model with density-dependent viscosity and microviscosity coefficients. (English) Zbl 1455.35190 Nonlinear Anal., Real World Appl. 58, Article ID 103226, 36 p. (2021). MSC: 35Q35 35Q31 76A05 76N10 35B35 35D35 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{D. Wang}, Nonlinear Anal., Real World Appl. 58, Article ID 103226, 36 p. (2021; Zbl 1455.35190) Full Text: DOI
Zhang, Xingwei Global strong solutions to radial symmetric compressible Navier-Stokes equations bounded by a free surface. (English) Zbl 1434.76107 Appl. Anal. 99, No. 7, 1136-1152 (2020). MSC: 76N15 35Q30 PDFBibTeX XMLCite \textit{X. Zhang}, Appl. Anal. 99, No. 7, 1136--1152 (2020; Zbl 1434.76107) Full Text: DOI
Chen, Zhengzheng; Zhao, Huijiang Asymptotics of the 1D compressible Navier-Stokes equations with density-dependent viscosity. (English) Zbl 1433.35221 J. Differ. Equations 269, No. 1, 912-953 (2020). MSC: 35Q30 35L65 35B40 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{H. Zhao}, J. Differ. Equations 269, No. 1, 912--953 (2020; Zbl 1433.35221) Full Text: DOI
Duan, Ben; Luo, Zhen; Zhou, Yan Existence of strong solutions to the rotating shallow water equations with degenerate viscosities. (English) Zbl 1435.35295 Anal. Appl., Singap. 18, No. 2, 333-358 (2020). MSC: 35Q35 35M10 76N10 76U05 35D35 35B44 PDFBibTeX XMLCite \textit{B. Duan} et al., Anal. Appl., Singap. 18, No. 2, 333--358 (2020; Zbl 1435.35295) Full Text: DOI
Li, Yachun; Shang, Zhaoyang Global large solutions to planar magnetohydrodynamics equations with temperature-dependent coefficients. (English) Zbl 1441.35198 J. Hyperbolic Differ. Equ. 16, No. 3, 443-493 (2019). MSC: 35Q35 76N10 76W05 35A09 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Z. Shang}, J. Hyperbolic Differ. Equ. 16, No. 3, 443--493 (2019; Zbl 1441.35198) Full Text: DOI
Lü, Boqiang; Zhang, Rong; Zhong, Xin Global existence of weak solutions to the compressible quantum Navier-Stokes equations with degenerate viscosity. (English) Zbl 1432.76307 J. Math. Phys. 60, No. 12, 121502, 31 p. (2019). MSC: 76Y05 76N06 82D05 35Q35 35Q30 35Q40 35D30 35A01 35B45 PDFBibTeX XMLCite \textit{B. Lü} et al., J. Math. Phys. 60, No. 12, 121502, 31 p. (2019; Zbl 1432.76307) Full Text: DOI arXiv
Li, Yachun; Pan, Ronghua; Zhu, Shengguo On classical solutions for viscous polytropic fluids with degenerate viscosities and vacuum. (English) Zbl 1428.35379 Arch. Ration. Mech. Anal. 234, No. 3, 1281-1334 (2019). MSC: 35Q35 76A05 76N10 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Li} et al., Arch. Ration. Mech. Anal. 234, No. 3, 1281--1334 (2019; Zbl 1428.35379) Full Text: DOI arXiv
Liu, Jinjing; Cui, Meiying Asymptotic stability of the viscous shock wave for the one-dimensional compressible Navier-Stokes equations with density dependent viscous coefficient on the half space. (English) Zbl 1433.35238 Arch. Math. 113, No. 4, 423-441 (2019). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 35B40 76N10 76L05 35A02 35B45 PDFBibTeX XMLCite \textit{J. Liu} and \textit{M. Cui}, Arch. Math. 113, No. 4, 423--441 (2019; Zbl 1433.35238) Full Text: DOI
Geng, Yongcai; Li, Yachun; Zhu, Shengguo Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow with vacuum. (English) Zbl 1428.35358 Arch. Ration. Mech. Anal. 234, No. 2, 727-775 (2019). MSC: 35Q35 76A05 76N10 35B65 35R06 PDFBibTeX XMLCite \textit{Y. Geng} et al., Arch. Ration. Mech. Anal. 234, No. 2, 727--775 (2019; Zbl 1428.35358) Full Text: DOI arXiv
Ye, Yulin; Li, Zilai The large time behavior of the free boundary for one dimensional compressible Navier-Stokes equations. (English) Zbl 1418.76046 J. Math. Phys. 60, No. 7, 071509, 7 p. (2019). MSC: 76N10 35Q30 80A20 80A10 PDFBibTeX XMLCite \textit{Y. Ye} and \textit{Z. Li}, J. Math. Phys. 60, No. 7, 071509, 7 p. (2019; Zbl 1418.76046) Full Text: DOI
Hong, Guangyi; Wen, Huanyao; Zhu, Changjiang Large-time behavior of the spherically symmetric compressible Navier-Stokes equations with degenerate viscosity coefficients. (English) Zbl 1417.35094 Z. Angew. Math. Phys. 70, No. 2, Paper No. 59, 43 p. (2019). MSC: 35Q30 35D30 35B40 76N10 35R35 76B15 76N17 PDFBibTeX XMLCite \textit{G. Hong} et al., Z. Angew. Math. Phys. 70, No. 2, Paper No. 59, 43 p. (2019; Zbl 1417.35094) Full Text: DOI
Duan, Ben; Luo, Zhen; Yan, Wei Finite-time blow-up of classical solutions to the rotating shallow water system with degenerate viscosity. (English) Zbl 1447.35264 Z. Angew. Math. Phys. 70, No. 2, Paper No. 54, 9 p. (2019). Reviewer: Vishnu Dutt Sharma (Ghandinagar) MSC: 35Q35 35M10 76N10 35B44 76U05 35B65 PDFBibTeX XMLCite \textit{B. Duan} et al., Z. Angew. Math. Phys. 70, No. 2, Paper No. 54, 9 p. (2019; Zbl 1447.35264) Full Text: DOI
Guo, Zhenhua; Song, Wenjing Global well-posedness and large-time behavior of classical solutions to the 3D Navier-Stokes system with changed viscosities. (English) Zbl 1414.76016 J. Math. Phys. 60, No. 3, 031502, 29 p. (2019). MSC: 76D05 76D03 49K40 35Q30 PDFBibTeX XMLCite \textit{Z. Guo} and \textit{W. Song}, J. Math. Phys. 60, No. 3, 031502, 29 p. (2019; Zbl 1414.76016) Full Text: DOI
Hong, Guangyi; Zhu, Changjiang Optimal decay rates on compressible Navier-Stokes equations with degenerate viscosity and vacuum. (English. French summary) Zbl 1412.35219 J. Math. Pures Appl. (9) 124, 1-29 (2019). MSC: 35Q30 35D30 76N10 35R35 35B40 PDFBibTeX XMLCite \textit{G. Hong} and \textit{C. Zhu}, J. Math. Pures Appl. (9) 124, 1--29 (2019; Zbl 1412.35219) Full Text: DOI
Zhang, Peixin; Zhu, Changjiang Global classical solutions to 1D full compressible Navier-Stokes equations with the Robin boundary condition on temperature. (English) Zbl 1412.35232 Nonlinear Anal., Real World Appl. 47, 306-323 (2019). MSC: 35Q30 35A09 35A01 76N10 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{C. Zhu}, Nonlinear Anal., Real World Appl. 47, 306--323 (2019; Zbl 1412.35232) Full Text: DOI
Huang, Lan; Lian, Ruxu Regularity to the spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity. (English) Zbl 1499.35474 Bound. Value Probl. 2018, Paper No. 85, 13 p. (2018). MSC: 35Q30 76N10 35Q35 35B40 76D05 PDFBibTeX XMLCite \textit{L. Huang} and \textit{R. Lian}, Bound. Value Probl. 2018, Paper No. 85, 13 p. (2018; Zbl 1499.35474) Full Text: DOI
Lian, Ru-Xu; Wang, Jun-Li Free boundary value problem for the cylindrically symmetric compressible Navier-Stokes equations with a constant exterior pressure. (English) Zbl 1404.35362 Acta Math. Appl. Sin., Engl. Ser. 34, No. 4, 761-774 (2018). MSC: 35Q35 76D03 35R35 35D35 76N10 PDFBibTeX XMLCite \textit{R.-X. Lian} and \textit{J.-L. Wang}, Acta Math. Appl. Sin., Engl. Ser. 34, No. 4, 761--774 (2018; Zbl 1404.35362) Full Text: DOI
Jiu, Quansen; Wang, Yi; Xin, Zhouping Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in \(\mathbb{R}^2\). (English) Zbl 1398.76193 Physica D 376-377, 180-194 (2018); corrigendum ibid. 414, Article ID 132726, 1 p. (2020). MSC: 76N10 35Q30 35A01 35A02 PDFBibTeX XMLCite \textit{Q. Jiu} et al., Physica D 376--377, 180--194 (2018; Zbl 1398.76193) Full Text: DOI arXiv
Ou, Yaobin; Shi, Pan; Wittwer, Peter Large time behaviors of strong solutions to magnetohydrodynamic equations with free boundary and degenerate viscosity. (English) Zbl 1395.76109 J. Math. Phys. 59, No. 8, 081510, 34 p. (2018). MSC: 76W05 76D27 35R35 76D03 PDFBibTeX XMLCite \textit{Y. Ou} et al., J. Math. Phys. 59, No. 8, 081510, 34 p. (2018; Zbl 1395.76109) Full Text: DOI
Ding, Shijin; Huang, Bingyuan; Liu, Xiaoling Global classical solutions to the 2D compressible Navier-Stokes equations with vacuum. (English) Zbl 1395.76076 J. Math. Phys. 59, No. 8, 081507, 19 p. (2018). MSC: 76N10 35Q30 76N15 35L03 49K40 PDFBibTeX XMLCite \textit{S. Ding} et al., J. Math. Phys. 59, No. 8, 081507, 19 p. (2018; Zbl 1395.76076) Full Text: DOI
Yin, Huicheng; Zhang, Lin The global existence and large time behavior of smooth compressible fluid in an infinitely expanding ball. II: 3D Navier-Stokes equations. (English) Zbl 1403.35247 Discrete Contin. Dyn. Syst. 38, No. 3, 1063-1102 (2018). MSC: 35Q35 35L70 35L65 35L67 76N15 35A01 35B40 PDFBibTeX XMLCite \textit{H. Yin} and \textit{L. Zhang}, Discrete Contin. Dyn. Syst. 38, No. 3, 1063--1102 (2018; Zbl 1403.35247) Full Text: DOI
Hou, Xiaofeng; Peng, Hongyun; Zhu, Changjiang Global well-posedness of the 3D non-isothermal compressible fluid model of Korteweg type. (English) Zbl 1394.35358 Nonlinear Anal., Real World Appl. 43, 18-53 (2018). MSC: 35Q35 35A01 35B40 35A09 PDFBibTeX XMLCite \textit{X. Hou} et al., Nonlinear Anal., Real World Appl. 43, 18--53 (2018; Zbl 1394.35358) Full Text: DOI
Hong, Guangyi; Luo, Tao; Zhu, Changjiang Global solutions to physical vacuum problem of non-isentropic viscous gaseous stars and nonlinear asymptotic stability of stationary solutions. (English) Zbl 1390.35363 J. Differ. Equations 265, No. 1, 177-236 (2018). MSC: 35Q85 35B35 35B40 76N10 35R35 35Q35 85A30 35D35 PDFBibTeX XMLCite \textit{G. Hong} et al., J. Differ. Equations 265, No. 1, 177--236 (2018; Zbl 1390.35363) Full Text: DOI
Tao, Qiang; Yang, Ying; Gao, Jincheng A free boundary problem for planar compressible Hall-magnetohydrodynamic equations. (English) Zbl 1390.35432 Z. Angew. Math. Phys. 69, No. 1, Paper No. 15, 22 p. (2018). MSC: 35R35 35Q35 76W05 PDFBibTeX XMLCite \textit{Q. Tao} et al., Z. Angew. Math. Phys. 69, No. 1, Paper No. 15, 22 p. (2018; Zbl 1390.35432) Full Text: DOI
Hou, Xiaofeng; Peng, Hongyun; Zhu, Changjiang Global classical solutions to the 3D Navier-Stokes-Korteweg equations with small initial energy. (English) Zbl 1375.76043 Anal. Appl., Singap. 16, No. 1, 55-84 (2018). MSC: 76D07 35Q35 76N10 PDFBibTeX XMLCite \textit{X. Hou} et al., Anal. Appl., Singap. 16, No. 1, 55--84 (2018; Zbl 1375.76043) Full Text: DOI
Li, Yachun; Pan, Ronghua; Zhu, Shengguo On classical solutions to 2D shallow water equations with degenerate viscosities. (English) Zbl 1369.35065 J. Math. Fluid Mech. 19, No. 1, 151-190 (2017). MSC: 35Q35 35B40 76Y05 35B35 35L65 35B65 35B44 35A01 85A05 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Math. Fluid Mech. 19, No. 1, 151--190 (2017; Zbl 1369.35065) Full Text: DOI arXiv
Ou, Yaobin; Shi, Pan Global classical solutions to the free boundary problem of planar full magnetohydrodynamic equations with large initial data. (English) Zbl 1360.35188 Discrete Contin. Dyn. Syst., Ser. B 22, No. 2, 537-567 (2017). MSC: 35Q35 35R35 76N10 76W05 PDFBibTeX XMLCite \textit{Y. Ou} and \textit{P. Shi}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 2, 537--567 (2017; Zbl 1360.35188) Full Text: DOI
Liu, Sheng-quan; Zhao, Jun-ning Global strong solutions of the Cauchy problem for 1D compressible Navier-Stokes equations with density-dependent viscosity. (English) Zbl 1360.76223 Acta Math. Appl. Sin., Engl. Ser. 33, No. 1, 25-34 (2017). MSC: 76N10 35Q30 PDFBibTeX XMLCite \textit{S.-q. Liu} and \textit{J.-n. Zhao}, Acta Math. Appl. Sin., Engl. Ser. 33, No. 1, 25--34 (2017; Zbl 1360.76223) Full Text: DOI
Ding, Min; Zhu, Shengguo Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow with far field vacuum. (English. French summary) Zbl 1364.35266 J. Math. Pures Appl. (9) 107, No. 3, 288-314 (2017). MSC: 35Q35 35B40 35B35 85A05 35B65 76N17 76B15 PDFBibTeX XMLCite \textit{M. Ding} and \textit{S. Zhu}, J. Math. Pures Appl. (9) 107, No. 3, 288--314 (2017; Zbl 1364.35266) Full Text: DOI
Ou, Yaobin Global classical solutions to the 1-D vacuum free boundary problem for full compressible Navier-Stokes equations with large data. (English) Zbl 1355.76056 J. Math. Phys. 58, No. 1, 011502, 21 p. (2017). MSC: 76N10 76N15 35Q30 PDFBibTeX XMLCite \textit{Y. Ou}, J. Math. Phys. 58, No. 1, 011502, 21 p. (2017; Zbl 1355.76056) Full Text: DOI
Zhao, Xinhua; Yao, Lei Global classical solutions of the full compressible Navier-Stokes equations with cylindrical or spherical symmetry. (English) Zbl 1352.35100 Nonlinear Anal., Real World Appl. 33, 139-167 (2017). MSC: 35Q30 76N10 35D35 35B45 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{L. Yao}, Nonlinear Anal., Real World Appl. 33, 139--167 (2017; Zbl 1352.35100) Full Text: DOI
Li, Yachun; Pan, Ronghua; Zhu, Shengguo Recent progress on classical solutions for compressible isentropic Navier-Stokes equations with degenerate viscosities and vacuum. (English) Zbl 1360.35148 Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 507-519 (2016). MSC: 35Q30 35B40 76Y05 35B35 35L65 85A05 76N15 35Q20 35A01 35B44 PDFBibTeX XMLCite \textit{Y. Li} et al., Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 507--519 (2016; Zbl 1360.35148) Full Text: DOI
Luo, Tao; Xin, Zhouping; Zeng, Huihui Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities. (English) Zbl 1351.35227 Commun. Math. Phys. 347, No. 3, 657-702 (2016). MSC: 35Q85 76N10 85A05 35R35 35B40 76N17 35D30 35D35 PDFBibTeX XMLCite \textit{T. Luo} et al., Commun. Math. Phys. 347, No. 3, 657--702 (2016; Zbl 1351.35227) Full Text: DOI arXiv
Tang, Tong; Gao, Hongjun On the compressible Navier-Stokes-Korteweg equations. (English) Zbl 1351.35150 Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2745-2766 (2016). MSC: 35Q35 76N10 35B35 35D30 35B44 35A01 PDFBibTeX XMLCite \textit{T. Tang} and \textit{H. Gao}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2745--2766 (2016; Zbl 1351.35150) Full Text: DOI
Li, Hai-liang; Zhang, Xingwei Global strong solutions to radial symmetric compressible Navier-Stokes equations with free boundary. (English) Zbl 1348.76124 J. Differ. Equations 261, No. 11, 6341-6367 (2016). MSC: 76N15 35Q30 PDFBibTeX XMLCite \textit{H.-l. Li} and \textit{X. Zhang}, J. Differ. Equations 261, No. 11, 6341--6367 (2016; Zbl 1348.76124) Full Text: DOI
Lian, Ruxu; Huang, Lan Spherically symmetric barotropic compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data. (English) Zbl 1348.35192 Acta Appl. Math. 144, No. 1, 159-184 (2016). MSC: 35Q35 35B65 76N10 PDFBibTeX XMLCite \textit{R. Lian} and \textit{L. Huang}, Acta Appl. Math. 144, No. 1, 159--184 (2016; Zbl 1348.35192) Full Text: DOI
Lian, Ruxu; Xu, Xinying Free boundary value problem for the spherically symmetric compressible Navier-Stokes equations with a nonconstant exterior pressure. (English) Zbl 1348.35193 Acta Appl. Math. 144, No. 1, 35-53 (2016). MSC: 35Q35 35R35 76N10 35D35 35B09 PDFBibTeX XMLCite \textit{R. Lian} and \textit{X. Xu}, Acta Appl. Math. 144, No. 1, 35--53 (2016; Zbl 1348.35193) Full Text: DOI
Huang, Lan; Lian, Ruxu Regularity for compressible isentropic Navier-Stokes equations with cylinder symmetry. (English) Zbl 1341.35099 J. Inequal. Appl. 2016, Paper No. 117, 16 p. (2016). MSC: 35Q30 35B65 76N10 PDFBibTeX XMLCite \textit{L. Huang} and \textit{R. Lian}, J. Inequal. Appl. 2016, Paper No. 117, 16 p. (2016; Zbl 1341.35099) Full Text: DOI
Ye, Yulin Global classical solution to 1D compressible Navier-Stokes equations with no vacuum at infinity. (English) Zbl 1339.35219 Math. Methods Appl. Sci. 39, No. 4, 776-795 (2016). MSC: 35Q30 35Q35 76N10 35B45 PDFBibTeX XMLCite \textit{Y. Ye}, Math. Methods Appl. Sci. 39, No. 4, 776--795 (2016; Zbl 1339.35219) Full Text: DOI
Lian, Ruxu; Liu, Jian Exterior problem for the spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity. (English) Zbl 1335.35199 Bound. Value Probl. 2016, Paper No. 49, 20 p. (2016). MSC: 35Q35 76N10 35D35 35B65 PDFBibTeX XMLCite \textit{R. Lian} and \textit{J. Liu}, Bound. Value Probl. 2016, Paper No. 49, 20 p. (2016; Zbl 1335.35199) Full Text: DOI
Zatorska, Ewelina; Haspot, Boris From the highly compressible Navier-Stokes equations to the porous medium equation – rate of convergence. (English) Zbl 1339.35220 Discrete Contin. Dyn. Syst. 36, No. 6, 3107-3123 (2016). MSC: 35Q30 35B25 35K55 76S05 PDFBibTeX XMLCite \textit{E. Zatorska} and \textit{B. Haspot}, Discrete Contin. Dyn. Syst. 36, No. 6, 3107--3123 (2016; Zbl 1339.35220) Full Text: DOI arXiv
Luo, Tao; Xin, Zhouping; Zeng, Huihui On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem. (English) Zbl 1344.35150 Adv. Math. 291, 90-182 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q85 35B35 76N10 85A05 35B65 35D35 35B40 PDFBibTeX XMLCite \textit{T. Luo} et al., Adv. Math. 291, 90--182 (2016; Zbl 1344.35150) Full Text: DOI arXiv
Wang, Mei; Li, Zilai; Li, Wei Analytical solutions to the 3-D compressible Navier-Stokes equations with free boundaries. (English) Zbl 1515.35189 Bound. Value Probl. 2015, Paper No. 94, 15 p. (2015). MSC: 35Q30 76N06 35A20 35B06 35B65 35C06 35R35 PDFBibTeX XMLCite \textit{M. Wang} et al., Bound. Value Probl. 2015, Paper No. 94, 15 p. (2015; Zbl 1515.35189) Full Text: DOI
Duan, Qin Local strong solution of Navier-Stokes-Poisson equations with degenerated viscosity coefficient. (English) Zbl 1381.35136 Math. Methods Appl. Sci. 38, No. 17, 4154-4177 (2015). MSC: 35Q35 35Q30 35D35 76W05 85A05 PDFBibTeX XMLCite \textit{Q. Duan}, Math. Methods Appl. Sci. 38, No. 17, 4154--4177 (2015; Zbl 1381.35136) Full Text: DOI
Lian, Ruxu; Liu, Jian Existence of global strong solution to Cauchy problem for one-dimensional barotropic compressible Navier-Stokes equations. (English) Zbl 1328.35174 Appl. Anal. 94, No. 12, 2418-2434 (2015). MSC: 35Q35 76D03 76N10 35D35 35B65 PDFBibTeX XMLCite \textit{R. Lian} and \textit{J. Liu}, Appl. Anal. 94, No. 12, 2418--2434 (2015; Zbl 1328.35174) Full Text: DOI
Evje, Steinar; Wen, Huanyao On the large time behavior of the compressible gas-liquid drift-flux model with slip. (English) Zbl 1327.76151 Math. Models Methods Appl. Sci. 25, No. 11, Article ID 2175, 2175-2215 (2015). MSC: 76T10 76N10 65M12 35L60 PDFBibTeX XMLCite \textit{S. Evje} and \textit{H. Wen}, Math. Models Methods Appl. Sci. 25, No. 11, Article ID 2175, 2175--2215 (2015; Zbl 1327.76151) Full Text: DOI
Ou, Yaobin; Zeng, Huihui Global strong solutions to the vacuum free boundary problem for compressible Navier-Stokes equations with degenerate viscosity and gravity force. (English) Zbl 1330.35293 J. Differ. Equations 259, No. 11, 6803-6829 (2015). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76N10 35D35 PDFBibTeX XMLCite \textit{Y. Ou} and \textit{H. Zeng}, J. Differ. Equations 259, No. 11, 6803--6829 (2015; Zbl 1330.35293) Full Text: DOI
Duan, Qin; Li, Hai-Liang Global existence of weak solution for the compressible Navier-Stokes-Poisson system for gaseous stars. (English) Zbl 1326.35264 J. Differ. Equations 259, No. 10, 5302-5330 (2015). Reviewer: Cheng He (Beijing) MSC: 35Q35 35D30 76N10 35R35 85A05 PDFBibTeX XMLCite \textit{Q. Duan} and \textit{H.-L. Li}, J. Differ. Equations 259, No. 10, 5302--5330 (2015; Zbl 1326.35264) Full Text: DOI
Jiu, Quansen; Wang, Yuexun; Xin, Zhouping Remarks on blow-up of smooth solutions to the compressible fluid with constant and degenerate viscosities. (English) Zbl 1319.35194 J. Differ. Equations 259, No. 7, 2981-3003 (2015). MSC: 35Q35 35B65 35B44 35Q31 76N10 PDFBibTeX XMLCite \textit{Q. Jiu} et al., J. Differ. Equations 259, No. 7, 2981--3003 (2015; Zbl 1319.35194) Full Text: DOI arXiv
Zhu, Shengguo Existence results for viscous polytropic fluids with degenerate viscosity coefficients and vacuum. (English) Zbl 1320.35265 J. Differ. Equations 259, No. 1, 84-119 (2015). Reviewer: Il’ya Sh. Mogilevskii (Tver’) MSC: 35Q30 35B44 35K65 PDFBibTeX XMLCite \textit{S. Zhu}, J. Differ. Equations 259, No. 1, 84--119 (2015; Zbl 1320.35265) Full Text: DOI arXiv
Huang, Jinrui; Ding, Shijin Compressible hydrodynamic flow of nematic liquid crystals with vacuum. (English) Zbl 1446.76070 J. Differ. Equations 258, No. 5, 1653-1684 (2015). MSC: 76A15 76N10 35R35 35D30 PDFBibTeX XMLCite \textit{J. Huang} and \textit{S. Ding}, J. Differ. Equations 258, No. 5, 1653--1684 (2015; Zbl 1446.76070) Full Text: DOI
Evje, Steinar; Wen, Huanyao Weak solutions of a two-phase Navier-Stokes model with a general slip law. (English) Zbl 1299.76272 J. Funct. Anal. 268, No. 1, 93-139 (2015). MSC: 76T10 76N10 65M12 35L60 PDFBibTeX XMLCite \textit{S. Evje} and \textit{H. Wen}, J. Funct. Anal. 268, No. 1, 93--139 (2015; Zbl 1299.76272) Full Text: DOI
Lian, Ruxu; Hu, Liping Free boundary value problem for the one-dimensional compressible Navier-Stokes equations with a nonconstant exterior pressure. (English) Zbl 1442.35304 J. Appl. Math. 2014, Article ID 961014, 11 p. (2014). MSC: 35Q30 35R35 35Q35 76N10 PDFBibTeX XMLCite \textit{R. Lian} and \textit{L. Hu}, J. Appl. Math. 2014, Article ID 961014, 11 p. (2014; Zbl 1442.35304) Full Text: DOI
Lian, Ruxu; Yang, Jianwei; Liu, Jian Global solutions to the spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data. (English) Zbl 1470.35259 Abstr. Appl. Anal. 2014, Article ID 132324, 12 p. (2014). MSC: 35Q30 35A01 35A02 35B40 35B65 PDFBibTeX XMLCite \textit{R. Lian} et al., Abstr. Appl. Anal. 2014, Article ID 132324, 12 p. (2014; Zbl 1470.35259) Full Text: DOI
Tadmor, Eitan; Tan, Changhui Critical thresholds in flocking hydrodynamics with non-local alignment. (English) Zbl 1353.76064 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 372, No. 2028, Article ID 20130401, 22 p. (2014). MSC: 76N10 35Q35 35B40 PDFBibTeX XMLCite \textit{E. Tadmor} and \textit{C. Tan}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 372, No. 2028, Article ID 20130401, 22 p. (2014; Zbl 1353.76064) Full Text: DOI arXiv
Hong, GuangYi; Hou, XiaoFeng; Peng, HongYun; Zhu, ChangJiang Global spherically symmetric classical solution to the Navier-Stokes-Maxwell system with large initial data and vacuum. (English) Zbl 1308.76285 Sci. China, Math. 57, No. 12, 2463-2484 (2014). MSC: 76T10 76N10 35L65 PDFBibTeX XMLCite \textit{G. Hong} et al., Sci. China, Math. 57, No. 12, 2463--2484 (2014; Zbl 1308.76285) Full Text: DOI
Jiu, Quansen; Wang, Yi; Xin, Zhouping Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. (English) Zbl 1308.35165 J. Math. Fluid Mech. 16, No. 3, 483-521 (2014). MSC: 35Q30 76D05 35B30 76N10 PDFBibTeX XMLCite \textit{Q. Jiu} et al., J. Math. Fluid Mech. 16, No. 3, 483--521 (2014; Zbl 1308.35165) Full Text: DOI arXiv
Lian, Ruxu; Liu, Jian On the free boundary value problem for one-dimensional compressible Navier-Stokes equations with constant exterior pressure. (English) Zbl 1468.35239 Bound. Value Probl. 2014, Paper No. 93, 15 p. (2014). MSC: 35R35 76D05 PDFBibTeX XMLCite \textit{R. Lian} and \textit{J. Liu}, Bound. Value Probl. 2014, Paper No. 93, 15 p. (2014; Zbl 1468.35239) Full Text: DOI
Lian, Ruxu; Chen, Zigao Free boundary value problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity. (English) Zbl 1300.35097 Appl. Anal. 93, No. 9, 1895-1908 (2014). MSC: 35Q35 76D03 35R35 35D35 35B65 35B45 76N10 PDFBibTeX XMLCite \textit{R. Lian} and \textit{Z. Chen}, Appl. Anal. 93, No. 9, 1895--1908 (2014; Zbl 1300.35097) Full Text: DOI
Evje, Steinar; Liu, Qingqing; Zhu, Changjiang Asymptotic stability of the compressible gas-liquid model with well-formation interaction and gravity. (English) Zbl 1446.76165 J. Differ. Equations 257, No. 9, 3226-3271 (2014). MSC: 76T10 76N10 35B40 PDFBibTeX XMLCite \textit{S. Evje} et al., J. Differ. Equations 257, No. 9, 3226--3271 (2014; Zbl 1446.76165) Full Text: DOI
Wei, Jin-Tao; He, Lin; Guo, Zhen-Hua A remark on the Cauchy problem of 1D compressible Navier-Stokes equations with density-dependent viscosity coefficients. (English) Zbl 1302.35103 Acta Math. Appl. Sin., Engl. Ser. 30, No. 1, 193-204 (2014). MSC: 35D30 35L67 35L70 76N15 35B40 PDFBibTeX XMLCite \textit{J.-T. Wei} et al., Acta Math. Appl. Sin., Engl. Ser. 30, No. 1, 193--204 (2014; Zbl 1302.35103) Full Text: DOI
Wen, Huanyao; Zhu, Changjiang Global symmetric classical solutions of the full compressible Navier-Stokes equations with vacuum and large initial data. (English) Zbl 1304.35511 J. Math. Pures Appl. (9) 102, No. 3, 498-545 (2014). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 76N10 35D35 PDFBibTeX XMLCite \textit{H. Wen} and \textit{C. Zhu}, J. Math. Pures Appl. (9) 102, No. 3, 498--545 (2014; Zbl 1304.35511) Full Text: DOI arXiv
Jiu, Quansen; Li, Mingjie; Ye, Yulin Global classical solution of the Cauchy problem to 1D compressible Navier-Stokes equations with large initial data. (English) Zbl 1291.35185 J. Differ. Equations 257, No. 2, 311-350 (2014). MSC: 35Q30 76N10 35A02 35B45 PDFBibTeX XMLCite \textit{Q. Jiu} et al., J. Differ. Equations 257, No. 2, 311--350 (2014; Zbl 1291.35185) Full Text: DOI arXiv
Li, Yachun; Zhu, Shengguo Formation of singularities in solutions to the compressible radiation hydrodynamics equations with vacuum. (English) Zbl 1290.35008 J. Differ. Equations 256, No. 12, 3943-3980 (2014). MSC: 35A09 35B44 35Q30 35L65 35Q35 35B65 PDFBibTeX XMLCite \textit{Y. Li} and \textit{S. Zhu}, J. Differ. Equations 256, No. 12, 3943--3980 (2014; Zbl 1290.35008) Full Text: DOI arXiv
Dou, Changsheng; Jiu, Quansen Remark on stability of rarefaction waves to the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity coefficient. (English) Zbl 1355.35150 Math. Methods Appl. Sci. 37, No. 1, 32-47 (2014). MSC: 35Q35 35B35 PDFBibTeX XMLCite \textit{C. Dou} and \textit{Q. Jiu}, Math. Methods Appl. Sci. 37, No. 1, 32--47 (2014; Zbl 1355.35150) Full Text: DOI
Duan, Qin On the dynamics of Navier-Stokes equations for a spherically symmetric shallow water model. (English) Zbl 1304.76048 J. Math. Anal. Appl. 404, No. 2, 260-282 (2013). MSC: 76N10 35Q35 PDFBibTeX XMLCite \textit{Q. Duan}, J. Math. Anal. Appl. 404, No. 2, 260--282 (2013; Zbl 1304.76048) Full Text: DOI
Lian, Ruxu; Yang, Jianwei Global solution to the exterior problem for spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data. (English) Zbl 1294.35067 Bound. Value Probl. 2013, Paper No. 90, 15 p. (2013). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{R. Lian} and \textit{J. Yang}, Bound. Value Probl. 2013, Paper No. 90, 15 p. (2013; Zbl 1294.35067) Full Text: DOI
Guo, Zhenhua; Li, Zilai; Yao, Lei Existence of global weak solution for a reduced gravity two and a half layer model. (English) Zbl 1380.83033 J. Math. Phys. 54, No. 12, 121503, 19 p. (2013). MSC: 83C10 35D30 35Q75 81T20 PDFBibTeX XMLCite \textit{Z. Guo} et al., J. Math. Phys. 54, No. 12, 121503, 19 p. (2013; Zbl 1380.83033) Full Text: DOI
Dou, Changsheng; Jiu, Quansen On one-dimensional compressible Navier-Stokes equations with degenerate viscosity and constant state at far fields. (English) Zbl 1293.35237 J. Math. Phys. 54, No. 7, 071504, 22 p. (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q35 76N10 35A01 35D30 35D35 PDFBibTeX XMLCite \textit{C. Dou} and \textit{Q. Jiu}, J. Math. Phys. 54, No. 7, 071504, 22 p. (2013; Zbl 1293.35237) Full Text: DOI arXiv
Ding, Shijin; Huang, Jinrui; Xia, Fengguang A free boundary problem for compressible hydrodynamic flow of liquid crystals in one dimension. (English) Zbl 1452.76019 J. Differ. Equations 255, No. 11, 3848-3879 (2013). MSC: 76A15 76N10 35Q35 35R35 PDFBibTeX XMLCite \textit{S. Ding} et al., J. Differ. Equations 255, No. 11, 3848--3879 (2013; Zbl 1452.76019) Full Text: DOI
Jiu, Quansen; Wang, Yi; Xin, Zhouping Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces. (English) Zbl 1283.35084 J. Differ. Equations 255, No. 3, 351-404 (2013). MSC: 35Q35 35A09 35Q30 76N10 PDFBibTeX XMLCite \textit{Q. Jiu} et al., J. Differ. Equations 255, No. 3, 351--404 (2013; Zbl 1283.35084) Full Text: DOI arXiv
Lian, Ruxu; Zhang, Guojing Free boundary value problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data. (English) Zbl 1271.35060 J. Appl. Math. 2013, Article ID 505108, 11 p. (2013). MSC: 35Q30 76D05 35A01 35A02 PDFBibTeX XMLCite \textit{R. Lian} and \textit{G. Zhang}, J. Appl. Math. 2013, Article ID 505108, 11 p. (2013; Zbl 1271.35060) Full Text: DOI
Lian, Ruxu; Huang, Lan Existence of global strong solutions for Navier-Stokes equations with external force. (English) Zbl 1291.35227 Appl. Anal. 92, No. 5, 997-1007 (2013). MSC: 35Q35 76D03 PDFBibTeX XMLCite \textit{R. Lian} and \textit{L. Huang}, Appl. Anal. 92, No. 5, 997--1007 (2013; Zbl 1291.35227) Full Text: DOI
Yao, Lei; Guo, Huiling; Guo, Zhenhua A note on viscous liquid-gas two-phase flow model with mass-dependent viscosity and vacuum. (English) Zbl 1254.76154 Nonlinear Anal., Real World Appl. 13, No. 5, 2323-2342 (2012). MSC: 76T10 PDFBibTeX XMLCite \textit{L. Yao} et al., Nonlinear Anal., Real World Appl. 13, No. 5, 2323--2342 (2012; Zbl 1254.76154) Full Text: DOI
Lian, Ruxu; Huang, Lan; Liu, Jian Global solutions to the spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity. (English) Zbl 1251.76010 J. Appl. Math. 2012, Article ID 395209, 22 p. (2012). MSC: 76D05 35Q30 PDFBibTeX XMLCite \textit{R. Lian} et al., J. Appl. Math. 2012, Article ID 395209, 22 p. (2012; Zbl 1251.76010) Full Text: DOI
Guo, Zhenhua; Xin, Zhouping Analytical solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients and free boundaries. (English) Zbl 1239.35109 J. Differ. Equations 253, No. 1, 1-19 (2012). MSC: 35Q30 76D09 35R35 PDFBibTeX XMLCite \textit{Z. Guo} and \textit{Z. Xin}, J. Differ. Equations 253, No. 1, 1--19 (2012; Zbl 1239.35109) Full Text: DOI
Guo, Zhenhua; Li, Hai-Liang; Xin, Zhouping Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations. (English) Zbl 1233.35156 Commun. Math. Phys. 309, No. 2, 371-412 (2012). MSC: 35Q30 35R35 76B15 35D30 PDFBibTeX XMLCite \textit{Z. Guo} et al., Commun. Math. Phys. 309, No. 2, 371--412 (2012; Zbl 1233.35156) Full Text: DOI
Liu, Qingqing; Zhu, Changjiang Asymptotic behavior of a viscous liquid-gas model with mass-dependent viscosity and vacuum. (English) Zbl 1252.76076 J. Differ. Equations 252, No. 3, 2492-2519 (2012). Reviewer: Kun Zhao (Iowa City) MSC: 76N10 76T10 35Q35 35R35 35B40 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{C. Zhu}, J. Differ. Equations 252, No. 3, 2492--2519 (2012; Zbl 1252.76076) Full Text: DOI arXiv