Dafermos, Constantine M. Wave scattering in hyperbolic balance laws and the zero relaxation limit. (English) Zbl 1469.35142 Ric. Mat. 70, No. 1, 131-147 (2021). MSC: 35L65 35B25 35L45 PDF BibTeX XML Cite \textit{C. M. Dafermos}, Ric. Mat. 70, No. 1, 131--147 (2021; Zbl 1469.35142) Full Text: DOI OpenURL
Feng, Yuehong; Li, Xin; Wang, Shu Global zero-relaxation limit of the non-isentropic Euler-Poisson system for ion dynamics. (English) Zbl 1472.35380 Asymptotic Anal. 120, No. 3, 301-318 (2020). MSC: 35Q81 35Q31 35Q60 35B65 35A01 PDF BibTeX XML Cite \textit{Y. Feng} et al., Asymptotic Anal. 120, No. 3, 301--318 (2020; Zbl 1472.35380) Full Text: DOI OpenURL
Peng, Yuejun Zero relaxation limit in slow time scaling for first-order quasi-linear hyperbolic systems. (Chinese. English summary) Zbl 07494481 Sci. Sin., Math. 47, No. 10, 1255-1276 (2017). MSC: 35L60 35B65 PDF BibTeX XML Cite \textit{Y. Peng}, Sci. Sin., Math. 47, No. 10, 1255--1276 (2017; Zbl 07494481) Full Text: DOI OpenURL
Wasiolek, Victor Uniform global existence and convergence of Euler-Maxwell systems with small parameters. (English) Zbl 1353.35198 Commun. Pure Appl. Anal. 15, No. 6, 2007-2021 (2016). MSC: 35L60 35B40 35Q31 35Q61 PDF BibTeX XML Cite \textit{V. Wasiolek}, Commun. Pure Appl. Anal. 15, No. 6, 2007--2021 (2016; Zbl 1353.35198) Full Text: DOI OpenURL
Yang, Baoying; Zeng, Huihui Zero relaxation limit to rarefaction waves for general \(2 \times 2\) hyperbolic systems with relaxation. (English) Zbl 1332.35215 Commun. Math. Sci. 14, No. 2, 443-462 (2016). MSC: 35L60 35B25 PDF BibTeX XML Cite \textit{B. Yang} and \textit{H. Zeng}, Commun. Math. Sci. 14, No. 2, 443--462 (2016; Zbl 1332.35215) Full Text: DOI OpenURL
Mai, La-Su; Li, Hai-Liang; Zhang, Kaijun Asymptotic limits of solutions to the initial boundary value problem for the relativistic Euler-Poisson equations. (English) Zbl 1302.35289 J. Differ. Equations 257, No. 12, 4319-4368 (2014). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q05 35Q75 35A01 35B40 85A05 PDF BibTeX XML Cite \textit{L.-S. Mai} et al., J. Differ. Equations 257, No. 12, 4319--4368 (2014; Zbl 1302.35289) Full Text: DOI OpenURL
Mai, La-Su; Li, Jingyu; Zhang, Kaijun On the steady state relativistic Euler-Poisson equations. (English) Zbl 1267.35230 Acta Appl. Math. 125, No. 1, 135-157 (2013). MSC: 35Q75 35B40 85A05 PDF BibTeX XML Cite \textit{L.-S. Mai} et al., Acta Appl. Math. 125, No. 1, 135--157 (2013; Zbl 1267.35230) Full Text: DOI OpenURL
Yang, Jianwei; Wang, Shu An asymptotic expansion in the multi-dimensional hydrodynamic model for two-carrier plasmas with small parameters. (English) Zbl 1274.35263 Adv. Math., Beijing 41, No. 1, 91-101 (2012). MSC: 35Q05 35B40 35C20 PDF BibTeX XML Cite \textit{J. Yang} and \textit{S. Wang}, Adv. Math., Beijing 41, No. 1, 91--101 (2012; Zbl 1274.35263) OpenURL
Hajjej, Mohamed-Lasmer; Peng, Yue-Jun Initial layers and zero-relaxation limits of Euler-Maxwell equations. (English) Zbl 1233.35184 J. Differ. Equations 252, No. 2, 1441-1465 (2012). MSC: 35Q61 35B30 35B10 35B65 PDF BibTeX XML Cite \textit{M.-L. Hajjej} and \textit{Y.-J. Peng}, J. Differ. Equations 252, No. 2, 1441--1465 (2012; Zbl 1233.35184) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Y.-J. Peng} et al., SIAM J. Math. Anal. 43, No. 2, 944--970 (2011; Zbl 1231.35039) Full Text: DOI OpenURL
Li, Yeping Existence and some limit analysis of stationary solutions for a multi-dimensional bipolar Euler-Poisson system. (English) Zbl 1227.35070 Discrete Contin. Dyn. Syst., Ser. B 16, No. 1, 345-360 (2011). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35B40 35Q31 82D10 35Q60 35B25 PDF BibTeX XML Cite \textit{Y. Li}, Discrete Contin. Dyn. Syst., Ser. B 16, No. 1, 345--360 (2011; Zbl 1227.35070) Full Text: DOI OpenURL
Zhang, Yinghui; Tan, Zhong; Sun, Ming-Bao Zero relaxation limit to centered rarefaction waves for Jin-Xin relaxation system. (English) Zbl 1213.35056 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 6, 2249-2261 (2011). MSC: 35B25 35L60 35L45 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 6, 2249--2261 (2011; Zbl 1213.35056) Full Text: DOI OpenURL
Majda, Andrew J.; Souganidis, Panagiotis E. Existence and uniqueness of weak solutions for precipitation fronts: a novel hyperbolic free boundary problem in several space variables. (English) Zbl 1204.35068 Commun. Pure Appl. Math. 63, No. 10, 1351-1361 (2010). Reviewer: Adrian Muntean (Eindhoven) MSC: 35D30 35R35 PDF BibTeX XML Cite \textit{A. J. Majda} and \textit{P. E. Souganidis}, Commun. Pure Appl. Math. 63, No. 10, 1351--1361 (2010; Zbl 1204.35068) Full Text: DOI Link OpenURL
Mao, Jianfeng; Zhou, Fang; Li, Yeping Some limit analysis in a one-dimensional stationary quantum hydrodynamic model for semiconductors. (English) Zbl 1186.35165 J. Math. Anal. Appl. 364, No. 1, 186-194 (2010). MSC: 35Q35 35Q40 76Y05 82D37 35A35 PDF BibTeX XML Cite \textit{J. Mao} et al., J. Math. Anal. Appl. 364, No. 1, 186--194 (2010; Zbl 1186.35165) Full Text: DOI OpenURL
Zhou, Fang; Li, Yeping Existence and some limits of stationary solutions to a one-dimensional bipolar Euler-Poisson system. (English) Zbl 1160.35352 J. Math. Anal. Appl. 351, No. 1, 480-490 (2009). MSC: 35B40 35B45 82C31 35J55 PDF BibTeX XML Cite \textit{F. Zhou} and \textit{Y. Li}, J. Math. Anal. Appl. 351, No. 1, 480--490 (2009; Zbl 1160.35352) Full Text: DOI OpenURL
Carbou, Gilles; Hanouzet, Bernard Relaxation approximation of some initial-boundary value problem for \(p\)-systems. (English) Zbl 1157.35005 Commun. Math. Sci. 5, No. 1, 187-203 (2007). Reviewer: Daniel Ševčovič (Bratislava) MSC: 35B25 35C20 35L50 35Q72 PDF BibTeX XML Cite \textit{G. Carbou} and \textit{B. Hanouzet}, Commun. Math. Sci. 5, No. 1, 187--203 (2007; Zbl 1157.35005) Full Text: DOI OpenURL
Li, Yeping Asymptotic profile in a multi-dimensional stationary nonisentropic hydrodynamic semiconductor model. (English) Zbl 1116.35020 Nonlinear Anal., Real World Appl. 8, No. 4, 1235-1251 (2007). MSC: 35B40 76G25 76N10 35Q60 82D37 PDF BibTeX XML Cite \textit{Y. Li}, Nonlinear Anal., Real World Appl. 8, No. 4, 1235--1251 (2007; Zbl 1116.35020) Full Text: DOI OpenURL
Li, Tong Modelling traffic flow with a time-dependent fundamental diagram. (English) Zbl 1041.35035 Math. Methods Appl. Sci. 27, No. 5, 583-601 (2004). MSC: 35L45 90B20 35L65 PDF BibTeX XML Cite \textit{T. Li}, Math. Methods Appl. Sci. 27, No. 5, 583--601 (2004; Zbl 1041.35035) Full Text: DOI OpenURL
Xu, Wen-Qing Boundary conditions for multi-dimensional hyperbolic relaxation problems. (English) Zbl 1058.35149 Discrete Contin. Dyn. Syst. 2003, Suppl. Vol., 916-925 (2003). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L50 35B25 35B35 35L65 PDF BibTeX XML Cite \textit{W.-Q. Xu}, Discrete Contin. Dyn. Syst. 2003, 916--925 (2003; Zbl 1058.35149) OpenURL
Li, Tong Global solutions of nonconcave hyperbolic conservation laws with relaxation arising from traffic flow. (English) Zbl 1015.35066 J. Differ. Equations 190, No. 1, 131-149 (2003). Reviewer: Thomas Sonar (Braunschweig) MSC: 35L65 90B20 PDF BibTeX XML Cite \textit{T. Li}, J. Differ. Equations 190, No. 1, 131--149 (2003; Zbl 1015.35066) Full Text: DOI OpenURL
Peng, Yuejun Asymptotic limits of one-dimensional hydrodynamic models for plasmas and semiconductors. (English) Zbl 0994.35112 Chin. Ann. Math., Ser. B 23, No. 1, 25-36 (2002). MSC: 35Q60 82D37 35B40 35B25 82D10 PDF BibTeX XML Cite \textit{Y. Peng}, Chin. Ann. Math., Ser. B 23, No. 1, 25--36 (2002; Zbl 0994.35112) Full Text: DOI OpenURL
Li, Tong Well-posedness theory of an inhomogeneous traffic flow model. (English) Zbl 1162.35415 Discrete Contin. Dyn. Syst., Ser. B 2, No. 3, 401-414 (2002). MSC: 35L65 90B20 PDF BibTeX XML Cite \textit{T. Li}, Discrete Contin. Dyn. Syst., Ser. B 2, No. 3, 401--414 (2002; Zbl 1162.35415) Full Text: DOI OpenURL
Li, Tong \(L^1\) stability of conservation laws for a traffic flow model. (English) Zbl 0964.35095 Electron. J. Differ. Equ. 2001, Paper No. 14, 18 p. (2001). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35B40 76L05 35B50 35L45 PDF BibTeX XML Cite \textit{T. Li}, Electron. J. Differ. Equ. 2001, Paper No. 14, 18 p. (2001; Zbl 0964.35095) Full Text: EuDML EMIS OpenURL
Li, Tong Global solutions and zero relaxation limit for a traffic flow model. (English) Zbl 0979.35096 SIAM J. Appl. Math. 61, No. 3, 1042-1061 (2000). Reviewer: A.Doktor (Praha) MSC: 35L65 35B40 35B50 76L05 PDF BibTeX XML Cite \textit{T. Li}, SIAM J. Appl. Math. 61, No. 3, 1042--1061 (2000; Zbl 0979.35096) Full Text: DOI OpenURL
Hsiao, Ling; Zhang, Kaijun The relaxation of the hydrodynamic model for semiconductors to the drift-diffusion equations. (English) Zbl 0970.35150 J. Differ. Equations 165, No. 2, 315-354 (2000). Reviewer: Jorge Ferreira (Maringá) MSC: 35Q60 82D37 35Q35 PDF BibTeX XML Cite \textit{L. Hsiao} and \textit{K. Zhang}, J. Differ. Equations 165, No. 2, 315--354 (2000; Zbl 0970.35150) Full Text: DOI OpenURL
Jüngel, Ansgar; Peng, Yue-Jun A hierachy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations. (English) Zbl 0956.35010 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 1, 83-118 (2000). Reviewer: Joachim Naumann (Berlin) MSC: 35B25 78A35 35B40 PDF BibTeX XML Cite \textit{A. Jüngel} and \textit{Y.-J. Peng}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 1, 83--118 (2000; Zbl 0956.35010) Full Text: DOI Numdam EuDML OpenURL
Yong, Wen-An Boundary conditions for hyperbolic systems with stiff source terms. (English) Zbl 0929.35080 Indiana Univ. Math. J. 48, No. 1, 115-137 (1999). MSC: 35L50 35B25 PDF BibTeX XML Cite \textit{W.-A. Yong}, Indiana Univ. Math. J. 48, No. 1, 115--137 (1999; Zbl 0929.35080) Full Text: DOI Link OpenURL
Tzavaras, Athanasios E. Materials with internal variables and relaxation to conservation laws. (English) Zbl 0973.74005 Arch. Ration. Mech. Anal. 146, No. 2, 129-155 (1999). Reviewer: G.A.Maugin (Paris) MSC: 74A15 74D10 35L65 74A20 PDF BibTeX XML Cite \textit{A. E. Tzavaras}, Arch. Ration. Mech. Anal. 146, No. 2, 129--155 (1999; Zbl 0973.74005) Full Text: DOI OpenURL
Yong, Wen-An Singular perturbations of first-order hyperbolic systems with stiff source terms. (English) Zbl 0942.35110 J. Differ. Equations 155, No. 1, 89-132 (1999). Reviewer: Daniel Ševčovič (Bratislava) MSC: 35L60 35B25 PDF BibTeX XML Cite \textit{W.-A. Yong}, J. Differ. Equations 155, No. 1, 89--132 (1999; Zbl 0942.35110) Full Text: DOI Link OpenURL
Hsiao, Ling; Pan, Ronghua The relaxation approximation to hyperbolic system of conservation laws. (English) Zbl 0931.35100 Fey, Michael (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the 7th international conference, Zürich, Switzerland, February 1998. Vol. I. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 129, 485-491 (1999). Reviewer: Weike Wang (Wuhan) MSC: 35L65 PDF BibTeX XML Cite \textit{L. Hsiao} and \textit{R. Pan}, ISNM, Int. Ser. Numer. Math. 129, 485--491 (1999; Zbl 0931.35100) OpenURL
Chen, Gui-Qiang; Jerome, Joseph W.; Zhang, Bo Existence and the singular relaxation limit for the inviscid hydrodynamic energy model. (English) Zbl 0948.76007 Jerome, Joseph W. (ed.), Modelling and computation for application in mathematics, science, and engineering. Workshop, Northwestern Univ., Evanston, IL, USA, May 3-4, 1996. Oxford: Clarendon Press. Numerical Mathematics and Scientific Computation. 189-215 (1998). Reviewer: Vyacheslav S.Titov (Pereslavl’-Zalesskij) MSC: 76A99 82D15 PDF BibTeX XML Cite \textit{G.-Q. Chen} et al., in: Modelling and computation for application in mathematics, science, and engineering. Workshop, Northwestern Univ., Evanston, IL, USA, May 3--4, 1996. Oxford: Clarendon Press. 189--215 (1998; Zbl 0948.76007) OpenURL
Liu, Fagui Convergence of approximate solutions for quasilinear hyperbolic conservation laws with relaxation. (English) Zbl 0919.35087 J. Partial Differ. Equations 11, No. 4, 289-300 (1998). MSC: 35L65 35B20 35L60 PDF BibTeX XML Cite \textit{F. Liu}, J. Partial Differ. Equations 11, No. 4, 289--300 (1998; Zbl 0919.35087) OpenURL
Hsiao, Ling Quasilinear hyperbolic systems and dissipative mechanisms. (English) Zbl 0911.35003 Singapore: World Scientific Publishing Co. viii, 223 p. (1997). Reviewer: Mária Lukáčová (Brno) MSC: 35-02 76Nxx 74Dxx 35Lxx 35L40 35L65 74Hxx 76S05 PDF BibTeX XML Cite \textit{L. Hsiao}, Quasilinear hyperbolic systems and dissipative mechanisms. Singapore: World Scientific Publishing Co. (1997; Zbl 0911.35003) OpenURL
Lu, Yunguang; Klingenberg, Christian The Cauchy problem for hyperbolic conservation laws with three equations. (English) Zbl 0862.35069 J. Math. Anal. Appl. 202, No. 1, 206-216 (1996). Reviewer: Wang Jinghua (Beijing) MSC: 35L65 PDF BibTeX XML Cite \textit{Y. Lu} and \textit{C. Klingenberg}, J. Math. Anal. Appl. 202, No. 1, 206--216 (1996; Zbl 0862.35069) Full Text: DOI OpenURL
Saasen, Arild The dispersion relation at large frequencies for linear surface gravity waves on a Maxwell fluid exhibiting a spatial decay. (English) Zbl 0841.76005 Z. Angew. Math. Phys. 47, No. 1, 162-167 (1996). MSC: 76A05 74J15 PDF BibTeX XML Cite \textit{A. Saasen}, Z. Angew. Math. Phys. 47, No. 1, 162--167 (1996; Zbl 0841.76005) Full Text: DOI OpenURL
Chen, Gui-Qiang; Liu, Tai-Ping Zero relaxation and dissipation limits for hyperbolic conservation laws. (English) Zbl 0797.35113 Commun. Pure Appl. Math. 46, No. 5, 755-781 (1993). MSC: 35L65 76N15 74Hxx PDF BibTeX XML Cite \textit{G.-Q. Chen} and \textit{T.-P. Liu}, Commun. Pure Appl. Math. 46, No. 5, 755--781 (1993; Zbl 0797.35113) Full Text: DOI Link OpenURL