Feng, Yue-Hong; Li, Xin; Wang, Shu Stability of non-constant equilibrium solutions for the full compressible Navier-Stokes-Maxwell system. (English) Zbl 1460.35282 J. Math. Fluid Mech. 23, No. 1, Paper No. 26, 18 p. (2021). MSC: 35Q35 35Q60 35L45 35L60 35L65 76X05 76N06 35B35 35B65 78A25 PDFBibTeX XMLCite \textit{Y.-H. Feng} et al., J. Math. Fluid Mech. 23, No. 1, Paper No. 26, 18 p. (2021; Zbl 1460.35282) Full Text: DOI
Tong, Lining; Chen, Li; Göttlich, Simone; Wang, Shu The global classical solution to compressible Euler system with velocity alignment. (English) Zbl 1484.35324 AIMS Math. 5, No. 6, 6673-6692 (2020). MSC: 35Q35 35A09 76N10 35L65 PDFBibTeX XMLCite \textit{L. Tong} et al., AIMS Math. 5, No. 6, 6673--6692 (2020; Zbl 1484.35324) Full Text: DOI arXiv
Li, Min; Pu, Xueke; Wang, Shu Quasineutral limit for the compressible two-fluid Euler-Maxwell equations for well-prepared initial data. (English) Zbl 1446.35129 Electron. Res. Arch. 28, No. 2, 879-895 (2020). MSC: 35Q35 35L60 35B40 35C20 76W05 76N10 35B25 35A01 PDFBibTeX XMLCite \textit{M. Li} et al., Electron. Res. Arch. 28, No. 2, 879--895 (2020; Zbl 1446.35129) Full Text: DOI
Shi, Qihong; Zhang, Xiao-Bing; Wang, Changyou; Wang, Shu Finite time blowup for Klein-Gordon-Schrödinger system. (English) Zbl 1428.35057 Math. Methods Appl. Sci. 42, No. 11, 3929-3941 (2019). MSC: 35B44 35Q55 35L71 35L52 PDFBibTeX XMLCite \textit{Q. Shi} et al., Math. Methods Appl. Sci. 42, No. 11, 3929--3941 (2019; Zbl 1428.35057) Full Text: DOI
Shi, Qihong; Wang, Shu Klein-Gordon-Zakharov system in energy space: blow-up profile and subsonic limit. (English) Zbl 1416.35048 Math. Methods Appl. Sci. 42, No. 9, 3211-3221 (2019). MSC: 35B44 35Q70 35L70 35L52 PDFBibTeX XMLCite \textit{Q. Shi} and \textit{S. Wang}, Math. Methods Appl. Sci. 42, No. 9, 3211--3221 (2019; Zbl 1416.35048) Full Text: DOI
Li, Xin; Wang, Shu; Feng, Yue-Hong Stability of non-constant equilibrium solutions for bipolar full compressible Navier-Stokes-Maxwell systems. (English) Zbl 1403.35157 J. Nonlinear Sci. 28, No. 6, 2187-2215 (2018). MSC: 35L45 35L60 35Q60 PDFBibTeX XMLCite \textit{X. Li} et al., J. Nonlinear Sci. 28, No. 6, 2187--2215 (2018; Zbl 1403.35157) Full Text: DOI
Li, Xin; Wang, Shu; Feng, Yuehong Stability of nonconstant steady-state solutions for 2-fluid nonisentropic Euler-Poisson equations in semiconductor. (English) Zbl 1394.35268 Math. Methods Appl. Sci. 41, No. 10, 3588-3604 (2018). MSC: 35L45 35L60 35L65 35Q60 76X05 PDFBibTeX XMLCite \textit{X. Li} et al., Math. Methods Appl. Sci. 41, No. 10, 3588--3604 (2018; Zbl 1394.35268) Full Text: DOI
Li, Xin; Wang, Shu; Feng, Yue-Hong Stability of non-constant steady-state solutions for bipolar non-isentropic Euler-Maxwell equations with damping terms. (English) Zbl 1362.35039 Z. Angew. Math. Phys. 67, No. 5, Article ID 133, 27 p. (2016). MSC: 35B35 35L45 35L60 35L65 35Q60 76X05 82D10 PDFBibTeX XMLCite \textit{X. Li} et al., Z. Angew. Math. Phys. 67, No. 5, Article ID 133, 27 p. (2016; Zbl 1362.35039) Full Text: DOI
Feng, Yue-Hong; Wang, Shu; Li, Xin Stability of non-constant steady-state solutions for non-isentropic Euler-Maxwell system with a temperature damping term. (English) Zbl 1348.35134 Math. Methods Appl. Sci. 39, No. 10, 2514-2528 (2016). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L45 35L60 82D10 35Q31 35Q61 35B35 PDFBibTeX XMLCite \textit{Y.-H. Feng} et al., Math. Methods Appl. Sci. 39, No. 10, 2514--2528 (2016; Zbl 1348.35134) Full Text: DOI
Shi, Qi-Hong; Li, Wan-Tong; Wang, Shu Wellposedness in energy space for the nonlinear Klein-Gordon-Schrödinger system. (English) Zbl 1328.35219 Appl. Math. Comput. 251, 55-64 (2015). MSC: 35Q55 35A02 35L71 35B30 PDFBibTeX XMLCite \textit{Q.-H. Shi} et al., Appl. Math. Comput. 251, 55--64 (2015; Zbl 1328.35219) Full Text: DOI
Wang, Shu; Wu, Zonglin; Li, Linrui; Chen, Shengtao On one multidimensional compressible nonlocal model of the dissipative QG equations. (English) Zbl 1304.35404 Discrete Contin. Dyn. Syst., Ser. S 7, No. 5, 1111-1132 (2014). MSC: 35L45 35A01 35L60 35Q35 PDFBibTeX XMLCite \textit{S. Wang} et al., Discrete Contin. Dyn. Syst., Ser. S 7, No. 5, 1111--1132 (2014; Zbl 1304.35404) Full Text: DOI arXiv
Feng, Yue-Hong; Wang, Shu; Kawashima, Shuichi Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system. (English) Zbl 1304.35517 Math. Models Methods Appl. Sci. 24, No. 14, 2851 (2014). MSC: 35Q31 35A01 35L45 35L60 35Q35 35B65 35Q61 35B40 PDFBibTeX XMLCite \textit{Y.-H. Feng} et al., Math. Models Methods Appl. Sci. 24, No. 14, 2851 (2014; Zbl 1304.35517) Full Text: DOI arXiv
Shi, Qi-Hong; Li, Wan-Tong; Wang, Shu Kato-type estimates for NLS equation in a scalar field and unique solvability of NKGS system in energy space. (English) Zbl 1287.35084 J. Differ. Equations 256, No. 10, 3440-3462 (2014). MSC: 35Q55 35E10 35G25 35L70 81Q05 81V35 PDFBibTeX XMLCite \textit{Q.-H. Shi} et al., J. Differ. Equations 256, No. 10, 3440--3462 (2014; Zbl 1287.35084) Full Text: DOI
Yang, Jianwei; Lian, Ruxu; Wang, Shu Incompressible type Euler as scaling limit of compressible Euler-Maxwell equations. (English) Zbl 1264.35247 Commun. Pure Appl. Anal. 12, No. 1, 503-518 (2013). MSC: 35Q61 35Q31 35B40 35C20 35L60 PDFBibTeX XMLCite \textit{J. Yang} et al., Commun. Pure Appl. Anal. 12, No. 1, 503--518 (2013; Zbl 1264.35247) Full Text: DOI
Wang, Shu; Feng, Yuehong; Li, Xin Existence of the global smooth solutions to the periodic problem of bipolar Euler-Maxwell system on the torus. (Chinese. English summary) Zbl 1289.35213 Acta Math. Sci., Ser. A, Chin. Ed. 32, No. 6, 1041-1049 (2012). MSC: 35L45 35A01 35L60 82D10 PDFBibTeX XMLCite \textit{S. Wang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 32, No. 6, 1041--1049 (2012; Zbl 1289.35213)
Wang, Shu; Feng, Yuehong; Li, Xin The asymptotic behavior of globally smooth solutions of bipolar nonisentropic compressible Euler-Maxwell system for plasma. (English) Zbl 1296.35134 SIAM J. Math. Anal. 44, No. 5, 3429-3457 (2012). Reviewer: Song Jiang (Beijing) MSC: 35Q31 35A01 35L45 35L60 35Q35 82D10 35Q61 35B65 35B40 PDFBibTeX XMLCite \textit{S. Wang} et al., SIAM J. Math. Anal. 44, No. 5, 3429--3457 (2012; Zbl 1296.35134) Full Text: DOI arXiv
Yang, Jianwei; Wang, Shu; Zhao, Juan The relaxation-time limit in the compressible Euler-Maxwell equations. (English) Zbl 1231.35040 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7005-7011 (2011). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35C20 35B40 35Q31 35Q61 35B25 82D10 35L60 35Q35 PDFBibTeX XMLCite \textit{J. Yang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7005--7011 (2011; Zbl 1231.35040) Full Text: DOI
Peng, Yue-Jun; Wang, Shu; Gu, Qilong Relaxation limit and global existence of smooth solutions of compressible Euler-Maxwell equations. (English) Zbl 1231.35039 SIAM J. Math. Anal. 43, No. 2, 944-970 (2011). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35C20 35B40 35B10 35B25 35L60 35Q35 PDFBibTeX XMLCite \textit{Y.-J. Peng} et al., SIAM J. Math. Anal. 43, No. 2, 944--970 (2011; Zbl 1231.35039) Full Text: DOI
Yang, Jianwei; Wang, Shu; Li, Yong; Luo, Dang Rigorous derivation of incompressible type Euler equations from non-isentropic Euler-Maxwell equations. (English) Zbl 1206.35210 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 11, 3613-3625 (2010). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 35Q35 35B40 35C20 35L60 76W05 76M45 PDFBibTeX XMLCite \textit{J. Yang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 11, 3613--3625 (2010; Zbl 1206.35210) Full Text: DOI
Peng, Yue-Jun; Wang, Shu Rigorous derivation of incompressible e-MHD equations from compressible Euler-Maxwell equations. (English) Zbl 1170.35081 SIAM J. Math. Anal. 40, No. 2, 540-565 (2008). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q35 35B40 76W05 35C20 35L60 35B45 PDFBibTeX XMLCite \textit{Y.-J. Peng} and \textit{S. Wang}, SIAM J. Math. Anal. 40, No. 2, 540--565 (2008; Zbl 1170.35081) Full Text: DOI
Peng, Yue-Jun; Wang, Shu Convergence of compressible Euler-Maxwell equations to incompressible Euler equations. (English) Zbl 1145.35054 Commun. Partial Differ. Equations 33, No. 3, 349-376 (2008). MSC: 35C20 35B40 35L60 35Q35 PDFBibTeX XMLCite \textit{Y.-J. Peng} and \textit{S. Wang}, Commun. Partial Differ. Equations 33, No. 3, 349--376 (2008; Zbl 1145.35054) Full Text: DOI
Peng, Yuejun; Wang, Shu Convergence of compressible Euler-Maxwell equations to compressible Euler-Poisson equations. (English) Zbl 1145.35347 Chin. Ann. Math., Ser. B 28, No. 5, 583-602 (2007). MSC: 35B40 35C20 35L60 35Q35 35Q60 PDFBibTeX XMLCite \textit{Y. Peng} and \textit{S. Wang}, Chin. Ann. Math., Ser. B 28, No. 5, 583--602 (2007; Zbl 1145.35347) Full Text: DOI
Ji, Xiaomei; Wang, Shu; Wang, Ke The convergence of a finite element method for the initial-boundary value problem to linear scalar conservation laws. (Chinese. English summary) Zbl 1143.65380 J. Beijing Univ. Technol. 33, No. 4, 428-432 (2007). MSC: 65M60 65M12 35J65 35L50 PDFBibTeX XMLCite \textit{X. Ji} et al., J. Beijing Univ. Technol. 33, No. 4, 428--432 (2007; Zbl 1143.65380)
Hsiao, Ling; Ju, Qiangchang; Wang, Shu The asymptotic behaviour of global smooth solutions to the multi-dimensional hydrodynamic model for semiconductors. (English) Zbl 1027.35071 Math. Methods Appl. Sci. 26, No. 14, 1187-1210 (2003). Reviewer: Francisco José Pena Brage (Santiago de Compostela) MSC: 35L65 76X05 35L70 35Q60 82D37 PDFBibTeX XMLCite \textit{L. Hsiao} et al., Math. Methods Appl. Sci. 26, No. 14, 1187--1210 (2003; Zbl 1027.35071) Full Text: DOI
Hsiao, Ling; Wang, Shu Asymptotic behavior of global smooth solutions to the full 1D hydrodynamic model for semiconductors. (English) Zbl 1174.82349 Math. Models Methods Appl. Sci. 12, No. 6, 777-796 (2002). MSC: 82D37 35B40 35L60 35L65 35Q60 76X05 PDFBibTeX XMLCite \textit{L. Hsiao} and \textit{S. Wang}, Math. Models Methods Appl. Sci. 12, No. 6, 777--796 (2002; Zbl 1174.82349) Full Text: DOI