Kawashima, Shuichi; Shibata, Yoshihiro; Xu, Jiang Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion. (English) Zbl 07481876 Commun. Partial Differ. Equations 47, No. 2, 378-400 (2022). MSC: 35G50 35B40 35Q35 35Q53 PDF BibTeX XML Cite \textit{S. Kawashima} et al., Commun. Partial Differ. Equations 47, No. 2, 378--400 (2022; Zbl 07481876) Full Text: DOI OpenURL
Xu, Jiang; Kawashima, Shuichi The frequency-localization technique and minimal decay-regularity for Euler-Maxwell equations. (English) Zbl 1356.35250 J. Math. Anal. Appl. 446, No. 2, 1537-1554 (2017). MSC: 35Q82 82D10 35Q60 76X05 78A25 35B65 PDF BibTeX XML Cite \textit{J. Xu} and \textit{S. Kawashima}, J. Math. Anal. Appl. 446, No. 2, 1537--1554 (2017; Zbl 1356.35250) Full Text: DOI arXiv OpenURL
Xu, Jiang; Kawashima, Shuichi The minimal decay regularity of smooth solutions to the Euler-Maxwell two-fluid system. (English) Zbl 1359.35160 J. Hyperbolic Differ. Equ. 13, No. 4, 719-733 (2016). MSC: 35Q35 35B40 35L45 82D10 76X05 35B65 76N10 78A25 35Q61 PDF BibTeX XML Cite \textit{J. Xu} and \textit{S. Kawashima}, J. Hyperbolic Differ. Equ. 13, No. 4, 719--733 (2016; Zbl 1359.35160) Full Text: DOI OpenURL
Xu, Jiang; Kawashima, Shuichi Frequency-localization Duhamel principle and its application to the optimal decay of dissipative systems in low dimensions. (English) Zbl 1347.35043 J. Differ. Equations 261, No. 5, 2670-2701 (2016). MSC: 35B40 35L60 35L45 35F25 35L65 PDF BibTeX XML Cite \textit{J. Xu} and \textit{S. Kawashima}, J. Differ. Equations 261, No. 5, 2670--2701 (2016; Zbl 1347.35043) Full Text: DOI OpenURL
Xu, Jiang; Xie, Mingfeng Global solutions to nonisentropic hydrodynamic models for two-carrier plasmas. (English) Zbl 1332.35045 Nonlinear Anal., Real World Appl. 27, 107-123 (2016). MSC: 35B40 82D10 35Q31 PDF BibTeX XML Cite \textit{J. Xu} and \textit{M. Xie}, Nonlinear Anal., Real World Appl. 27, 107--123 (2016; Zbl 1332.35045) Full Text: DOI OpenURL
Xu, Jiang; Mori, Naofumi; Kawashima, Shuichi \(L^p - L^q - L^r\) estimates and minimal decay regularity for compressible Euler-Maxwell equations. (English. French summary) Zbl 1330.35052 J. Math. Pures Appl. (9) 104, No. 5, 965-981 (2015). Reviewer: Michael Reissig (Freiberg) MSC: 35B45 35B35 35L40 35B40 82D10 35Q31 35Q61 35A09 PDF BibTeX XML Cite \textit{J. Xu} et al., J. Math. Pures Appl. (9) 104, No. 5, 965--981 (2015; Zbl 1330.35052) Full Text: DOI arXiv OpenURL
Xu, Jiang; Kawashima, Shuichi The optimal decay estimates on the framework of Besov spaces for generally dissipative systems. (English) Zbl 1323.35141 Arch. Ration. Mech. Anal. 218, No. 1, 275-315 (2015). MSC: 35Q31 42B25 76N15 PDF BibTeX XML Cite \textit{J. Xu} and \textit{S. Kawashima}, Arch. Ration. Mech. Anal. 218, No. 1, 275--315 (2015; Zbl 1323.35141) Full Text: DOI arXiv OpenURL
Xu, Jiang; Kawashima, Shuichi Diffusive relaxation limit of classical solutions to the damped compressible Euler equations. (English) Zbl 1329.35238 J. Differ. Equations 256, No. 2, 771-796 (2014). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q31 76N10 42B25 PDF BibTeX XML Cite \textit{J. Xu} and \textit{S. Kawashima}, J. Differ. Equations 256, No. 2, 771--796 (2014; Zbl 1329.35238) Full Text: DOI OpenURL
Xu, Jiang The well-posedness theory for Euler-Poisson fluids with non-zero heat conduction. (English) Zbl 1319.35198 J. Hyperbolic Differ. Equ. 11, No. 4, 679-703 (2014). Reviewer: Cheng He (Beijing) MSC: 35Q35 35M10 76X05 80A20 82D37 PDF BibTeX XML Cite \textit{J. Xu}, J. Hyperbolic Differ. Equ. 11, No. 4, 679--703 (2014; Zbl 1319.35198) Full Text: DOI OpenURL
Xu, Jiang; Kawashima, Shuichi Global classical solutions for partially dissipative hyperbolic system of balance laws. (English) Zbl 1293.35173 Arch. Ration. Mech. Anal. 211, No. 2, 513-553 (2014). MSC: 35L65 35B44 35B65 35Q31 PDF BibTeX XML Cite \textit{J. Xu} and \textit{S. Kawashima}, Arch. Ration. Mech. Anal. 211, No. 2, 513--553 (2014; Zbl 1293.35173) Full Text: DOI arXiv OpenURL
Xu, Jiang; Zhang, Ting Zero-electron-mass limit of Euler-Poisson equations. (English) Zbl 1277.35034 Discrete Contin. Dyn. Syst. 33, No. 10, 4743-4768 (2013). MSC: 35B25 35L45 35Q31 PDF BibTeX XML Cite \textit{J. Xu} and \textit{T. Zhang}, Discrete Contin. Dyn. Syst. 33, No. 10, 4743--4768 (2013; Zbl 1277.35034) Full Text: DOI arXiv OpenURL
Xu, Jiang; Xiong, Jun; Kawashima, Shuichi Global well-posedness in critical Besov spaces for two-fluid Euler-Maxwell equations. (English) Zbl 1292.35243 SIAM J. Math. Anal. 45, No. 3, 1422-1447 (2013). Reviewer: Rainer Picard (Dresden) MSC: 35Q35 35Q31 76X05 PDF BibTeX XML Cite \textit{J. Xu} et al., SIAM J. Math. Anal. 45, No. 3, 1422--1447 (2013; Zbl 1292.35243) Full Text: DOI arXiv OpenURL
Xu, Jiang; Xiong, Jun Global existence of classical solutions of full Euler-Maxwell equations. (English) Zbl 1307.35291 J. Math. Anal. Appl. 402, No. 2, 545-557 (2013). MSC: 35Q60 76X05 82D10 35A09 35B40 PDF BibTeX XML Cite \textit{J. Xu} and \textit{J. Xiong}, J. Math. Anal. Appl. 402, No. 2, 545--557 (2013; Zbl 1307.35291) Full Text: DOI OpenURL
Xu, Jiang; Wang, Zejun Relaxation limit in Besov spaces for compressible Euler equations. (English. French summary) Zbl 1258.35163 J. Math. Pures Appl. (9) 99, No. 1, 43-61 (2013). MSC: 35Q31 35L25 35L45 76N15 PDF BibTeX XML Cite \textit{J. Xu} and \textit{Z. Wang}, J. Math. Pures Appl. (9) 99, No. 1, 43--61 (2013; Zbl 1258.35163) Full Text: DOI arXiv OpenURL
Xu, Jiang Energy-transport and drift-diffusion limits of nonisentropic Euler-Poisson equations. (English) Zbl 1242.35184 J. Differ. Equations 252, No. 2, 915-940 (2012). Reviewer: Alexander Mikhajlovich Blokhin (Novosibirsk) MSC: 35Q05 35A01 35A02 35B40 PDF BibTeX XML Cite \textit{J. Xu}, J. Differ. Equations 252, No. 2, 915--940 (2012; Zbl 1242.35184) Full Text: DOI OpenURL
Xu, Jiang; Xu, Qingrong Diffusive relaxation limits of compressible Euler-Maxwell equations. (English) Zbl 1230.35022 J. Math. Anal. Appl. 386, No. 1, 135-148 (2012). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35B40 35Q35 35L60 76X05 35Q31 35Q61 35B25 PDF BibTeX XML Cite \textit{J. Xu} and \textit{Q. Xu}, J. Math. Anal. Appl. 386, No. 1, 135--148 (2012; Zbl 1230.35022) Full Text: DOI OpenURL
Xu, Jiang Global classical solutions to the compressible Euler-Maxwell equations. (English) Zbl 1252.35183 SIAM J. Math. Anal. 43, No. 6, 2688-2718 (2011). Reviewer: Chun-Lei Tang (Chongqing) MSC: 35L45 35Q31 35Q61 PDF BibTeX XML Cite \textit{J. Xu}, SIAM J. Math. Anal. 43, No. 6, 2688--2718 (2011; Zbl 1252.35183) Full Text: DOI arXiv OpenURL
Xu, Jiang; Yong, Wen-An A note on incompressible limit for compressible Euler equations. (English) Zbl 1223.35037 Math. Methods Appl. Sci. 34, No. 7, 831-838 (2011). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35B25 35Q31 76N10 PDF BibTeX XML Cite \textit{J. Xu} and \textit{W.-A. Yong}, Math. Methods Appl. Sci. 34, No. 7, 831--838 (2011; Zbl 1223.35037) Full Text: DOI OpenURL
Xu, Jiang; Yong, Wen-An Zero-electron-mass limit of hydrodynamic models for plasmas. (English) Zbl 1215.35023 Proc. R. Soc. Edinb., Sect. A, Math. 141, No. 2, 431-447 (2011). MSC: 35B25 35Q31 82D10 PDF BibTeX XML Cite \textit{J. Xu} and \textit{W.-A. Yong}, Proc. R. Soc. Edinb., Sect. A, Math. 141, No. 2, 431--447 (2011; Zbl 1215.35023) Full Text: DOI OpenURL
Xu, Jiang Strong relaxation limit of multi-dimensional isentropic Euler equations. (English) Zbl 1198.35188 Z. Angew. Math. Phys. 61, No. 3, 389-400 (2010). MSC: 35Q31 76N10 76S05 PDF BibTeX XML Cite \textit{J. Xu}, Z. Angew. Math. Phys. 61, No. 3, 389--400 (2010; Zbl 1198.35188) Full Text: DOI OpenURL
Fang, Daoyuan; Xu, Jiang Existence and asymptotic behavior of \(C^1\) solutions to the multi-dimensional compressible Euler equations with damping. (English) Zbl 1152.35432 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 244-261 (2009). MSC: 35L65 76N15 76N10 PDF BibTeX XML Cite \textit{D. Fang} and \textit{J. Xu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 244--261 (2009; Zbl 1152.35432) Full Text: DOI arXiv OpenURL