Chen, Ya-zhou; Hong, Hakho; Shi, Xiao-ding Stability of the phase separation state for compressible Navier-Stokes/Allen-Cahn system. (English) Zbl 07788843 Acta Math. Appl. Sin., Engl. Ser. 40, No. 1, 45-74 (2024). MSC: 35Q30 76T30 35C20 PDFBibTeX XMLCite \textit{Y.-z. Chen} et al., Acta Math. Appl. Sin., Engl. Ser. 40, No. 1, 45--74 (2024; Zbl 07788843) Full Text: DOI arXiv
O, Hyejong; Hong, Hakho; Kim, Jongsung Global existence of smooth solutions for the compressible viscous fluid flow with radiation in \(\mathbb{R}^3\). (English) Zbl 07790534 Appl. Math., Praha 68, No. 5, 535-558 (2023). MSC: 76N10 35B40 35A01 PDFBibTeX XMLCite \textit{H. O} et al., Appl. Math., Praha 68, No. 5, 535--558 (2023; Zbl 07790534) Full Text: DOI
Kim, Hyejong; Hong, Hakho; Kim, Jongsung Global existence of smooth solutions for the diffusion approximation model of general gas in radiation hydrodynamics. (English) Zbl 07762007 Acta Math. Sin., Engl. Ser. 39, No. 10, 1855-1873 (2023). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 76N10 35Q35 78A40 PDFBibTeX XMLCite \textit{H. Kim} et al., Acta Math. Sin., Engl. Ser. 39, No. 10, 1855--1873 (2023; Zbl 07762007) Full Text: DOI
Hu, Haifeng; Zhang, Kaijun Semiconductor full quantum hydrodynamic model with non-flat doping profile. II: Semi-classical limit. (English) Zbl 1515.35272 Appl. Anal. 102, No. 6, 1765-1785 (2023). MSC: 35Q81 35A01 35B40 35M33 76Y05 PDFBibTeX XMLCite \textit{H. Hu} and \textit{K. Zhang}, Appl. Anal. 102, No. 6, 1765--1785 (2023; Zbl 1515.35272) Full Text: DOI
Yang, Ying; Zhou, Yu; Zhu, Canze Global well-posedness of the compressible quantum magnetohydrodynamic model with small initial energy. (English) Zbl 1504.35400 Bound. Value Probl. 2022, Paper No. 18, 17 p. (2022). MSC: 35Q35 76W05 76Y05 76N10 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Yang} et al., Bound. Value Probl. 2022, Paper No. 18, 17 p. (2022; Zbl 1504.35400) Full Text: DOI
Xu, Xiuli; Pu, Xueke Optimal convergence rates of the magnetohydrodynamic model for quantum plasmas with potential force. (English) Zbl 1468.35157 Discrete Contin. Dyn. Syst., Ser. B 26, No. 2, 987-1010 (2021). MSC: 35Q35 76W05 76Y05 76N10 35D30 PDFBibTeX XMLCite \textit{X. Xu} and \textit{X. Pu}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 2, 987--1010 (2021; Zbl 1468.35157) Full Text: DOI
Ra, Sungjin; Hong, Hakho The existence, uniqueness and exponential decay of global solutions in the full quantum hydrodynamic equations for semiconductors. (English) Zbl 1467.76078 Z. Angew. Math. Phys. 72, No. 3, Paper No. 107, 32 p. (2021). MSC: 76Y05 35Q35 35Q40 82D37 PDFBibTeX XMLCite \textit{S. Ra} and \textit{H. Hong}, Z. Angew. Math. Phys. 72, No. 3, Paper No. 107, 32 p. (2021; Zbl 1467.76078) Full Text: DOI
Xi, Xiaoyu; Pu, Xueke; Guo, Boling Decay rates of the compressible Hall-MHD equations for quantum plasmas. (English) Zbl 1468.35156 Acta Appl. Math. 170, 459-481 (2020). MSC: 35Q35 35M31 76W05 76Y05 76N10 81V70 PDFBibTeX XMLCite \textit{X. Xi} et al., Acta Appl. Math. 170, 459--481 (2020; Zbl 1468.35156) Full Text: DOI
Li, Min Time periodic solutions for the non-isentropic compressible quantum hydrodynamic equations with viscosity in \(\mathbb{R}^3\). (English) Zbl 1473.76081 Electron. J. Differ. Equ. 2020, Paper No. 103, 34 p. (2020). MSC: 76Y05 76N10 35Q35 PDFBibTeX XMLCite \textit{M. Li}, Electron. J. Differ. Equ. 2020, Paper No. 103, 34 p. (2020; Zbl 1473.76081) Full Text: Link
Xi, Xiaoyu; Pu, Xueke; Guo, Boling Decay rates of the compressible Hall-magnetohydrodynamic model for quantum plasmas. (English) Zbl 1446.82078 J. Math. Phys. 61, No. 4, 041501, 18 p. (2020). MSC: 82D10 82D15 82C10 76W05 81V70 76N06 PDFBibTeX XMLCite \textit{X. Xi} et al., J. Math. Phys. 61, No. 4, 041501, 18 p. (2020; Zbl 1446.82078) Full Text: DOI
Pu, Xueke; Li, Min Global solutions for the compressible quantum hydrodynamic model in a bounded domain. (English) Zbl 1444.76141 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 148-171 (2019). MSC: 76Y05 35G31 35A01 35B45 PDFBibTeX XMLCite \textit{X. Pu} and \textit{M. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 148--171 (2019; Zbl 1444.76141) Full Text: DOI
Xi, Xiaoyu Decay rates of the compressible quantum magnetohydrodynamic model. (English) Zbl 1446.76189 J. Math. Anal. Appl. 475, No. 1, 403-422 (2019). MSC: 76Y05 76W05 76N10 PDFBibTeX XMLCite \textit{X. Xi}, J. Math. Anal. Appl. 475, No. 1, 403--422 (2019; Zbl 1446.76189) Full Text: DOI
Xi, Xiaoyu; Pu, Xueke; Guo, Boling Long-time behavior of solutions for the compressible quantum magnetohydrodynamic model in \({\mathbb {R}}^3\). (English) Zbl 1408.35160 Z. Angew. Math. Phys. 70, No. 1, Paper No. 7, 16 p. (2019). MSC: 35Q35 35M11 35B40 76W05 76K05 PDFBibTeX XMLCite \textit{X. Xi} et al., Z. Angew. Math. Phys. 70, No. 1, Paper No. 7, 16 p. (2019; Zbl 1408.35160) Full Text: DOI
Xie, Binqiang; Xi, Xiaoyu; Guo, Boling Long-time behavior of solutions for full compressible quantum model in \(\mathbb{R}^3\). (English) Zbl 1394.35378 Appl. Math. Lett. 80, 54-58 (2018). MSC: 35Q35 76Y05 35B40 35Q30 35Q40 PDFBibTeX XMLCite \textit{B. Xie} et al., Appl. Math. Lett. 80, 54--58 (2018; Zbl 1394.35378) Full Text: DOI
Pu, Xueke; Xu, Xiuli Decay rates of the magnetohydrodynamic model for quantum plasmas. (English) Zbl 1369.35068 Z. Angew. Math. Phys. 68, No. 1, Paper No. 18, 17 p. (2017). MSC: 35Q35 35M11 76W05 76Y05 35B65 35A01 PDFBibTeX XMLCite \textit{X. Pu} and \textit{X. Xu}, Z. Angew. Math. Phys. 68, No. 1, Paper No. 18, 17 p. (2017; Zbl 1369.35068) Full Text: DOI
Pu, Xueke; Xu, Xiuli Asymptotic behaviors of the full quantum hydrodynamic equations. (English) Zbl 1369.35067 J. Math. Anal. Appl. 454, No. 1, 219-245 (2017). MSC: 35Q35 76Y05 35Q30 35B40 35A01 PDFBibTeX XMLCite \textit{X. Pu} and \textit{X. Xu}, J. Math. Anal. Appl. 454, No. 1, 219--245 (2017; Zbl 1369.35067) Full Text: DOI
Lai, Jin; Wen, Huanyao; Yao, Lei Vanishing capillarity limit of the non-conservative compressible two-fluid model. (English) Zbl 1360.76335 Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1361-1392 (2017). MSC: 76T10 76N10 PDFBibTeX XMLCite \textit{J. Lai} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1361--1392 (2017; Zbl 1360.76335) Full Text: DOI
Li, Min; Pu, Xueke; Wang, Shu Quasineutral limit for the quantum Navier-Stokes-Poisson equations. (English) Zbl 1352.76129 Commun. Pure Appl. Anal. 16, No. 1, 273-293 (2017). MSC: 76Y05 35B40 35C20 35Q35 PDFBibTeX XMLCite \textit{M. Li} et al., Commun. Pure Appl. Anal. 16, No. 1, 273--293 (2017; Zbl 1352.76129) Full Text: DOI arXiv