Zhang, Qinglong; Sheng, Wancheng; Zheng, Yuxi Interaction of the elementary waves for shallow water equations with discontinuous topography. (English) Zbl 1479.35560 Commun. Math. Sci. 19, No. 5, 1381-1402 (2021). MSC: 35L60 35L65 35L67 35L80 35Q35 35R35 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Commun. Math. Sci. 19, No. 5, 1381--1402 (2021; Zbl 1479.35560) Full Text: DOI arXiv
Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi A direct Eulerian GRP scheme for a blood flow model in arteries. (English) Zbl 1486.92004 SIAM J. Sci. Comput. 43, No. 3, A1975-A1996 (2021). Reviewer: Zhiming Chen (Beijing) MSC: 92-08 65M06 65M25 76M20 35L60 35L65 35L67 35R03 76L05 76N10 76Z05 92C35 35Q92 PDFBibTeX XMLCite \textit{W. Sheng} et al., SIAM J. Sci. Comput. 43, No. 3, A1975--A1996 (2021; Zbl 1486.92004) Full Text: DOI arXiv
Sheng, Wancheng; Zhang, Qinglong; Zheng, Yuxi The Riemann problem for a blood flow model in arteries. (English) Zbl 1476.35139 Commun. Comput. Phys. 27, No. 1, 227-250 (2020). MSC: 35L65 35A02 35L60 35L67 35Q92 76N10 PDFBibTeX XMLCite \textit{W. Sheng} et al., Commun. Comput. Phys. 27, No. 1, 227--250 (2020; Zbl 1476.35139) Full Text: DOI
Song, Kyungwoo; Wang, Qin; Zheng, Yuxi The regularity of semihyperbolic patches near sonic lines for the 2-D Euler system in gas dynamics. (English) Zbl 1325.35153 SIAM J. Math. Anal. 47, No. 3, 2200-2219 (2015). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q31 35L65 76N10 76H05 PDFBibTeX XMLCite \textit{K. Song} et al., SIAM J. Math. Anal. 47, No. 3, 2200--2219 (2015; Zbl 1325.35153) Full Text: DOI Link
Zhang, Tianyou; Zheng, Yuxi Sonic-supersonic solutions for the steady Euler equations. (English) Zbl 1320.35245 Indiana Univ. Math. J. 63, No. 6, 1785-1817 (2014). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35M30 35L65 35Q31 35M12 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Y. Zheng}, Indiana Univ. Math. J. 63, No. 6, 1785--1817 (2014; Zbl 1320.35245) Full Text: DOI Link
Wang, Qin; Zheng, Yuxi The regularity of semi-hyperbolic patches at sonic lines for the pressure gradient equation in gas dynamics. (English) Zbl 1336.35099 Indiana Univ. Math. J. 63, No. 2, 385-402 (2014). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35B65 35L65 35L67 35J70 35R35 35J65 35Q31 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{Y. Zheng}, Indiana Univ. Math. J. 63, No. 2, 385--402 (2014; Zbl 1336.35099) Full Text: DOI Link
Zheng, Yuxi Semi-hyperbolic waves in two-dimensional compressible Euler systems. (English) Zbl 1246.35155 Bressan, Alberto (ed.) et al., Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13–31, 2009. New York, NY: Springer (ISBN 978-1-4419-9553-7; 978-1-4419-9554-4/ebook). The IMA Volumes in Mathematics and its Applications 153, 457-468 (2011). MSC: 35Q31 35L65 PDFBibTeX XMLCite \textit{Y. Zheng}, IMA Vol. Math. Appl. 153, 457--468 (2011; Zbl 1246.35155) Full Text: DOI
Lai, Geng; Sheng, Wancheng; Zheng, Yuxi Simple waves and pressure delta waves for a Chaplygin gas in two-dimensions. (English) Zbl 1222.35121 Discrete Contin. Dyn. Syst. 31, No. 2, 489-523 (2011). MSC: 35L65 35J70 35R35 35J65 PDFBibTeX XMLCite \textit{G. Lai} et al., Discrete Contin. Dyn. Syst. 31, No. 2, 489--523 (2011; Zbl 1222.35121) Full Text: DOI
Li, Jiequan; Yang, Zhicheng; Zheng, Yuxi Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations. (English) Zbl 1209.35079 J. Differ. Equations 250, No. 2, 782-798 (2011). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35J70 35R35 35J65 35Q35 PDFBibTeX XMLCite \textit{J. Li} et al., J. Differ. Equations 250, No. 2, 782--798 (2011; Zbl 1209.35079) Full Text: DOI
Zheng, Yuxi; Robinson, Zachary The pressure gradient system. (English) Zbl 1227.35208 Methods Appl. Anal. 17, No. 3, 263-278 (2010). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L65 35Q31 35L45 35L60 76N15 PDFBibTeX XMLCite \textit{Y. Zheng} and \textit{Z. Robinson}, Methods Appl. Anal. 17, No. 3, 263--278 (2010; Zbl 1227.35208) Full Text: DOI Euclid
Chen, Xiao; Zheng, Yuxi The interaction of rarefaction waves of the two-dimensional Euler equations. (English) Zbl 1203.35167 Indiana Univ. Math. J. 59, No. 1, 231-256 (2010). Reviewer: V. D. Sharma (Mumbai) MSC: 35L65 35J70 35R35 35J65 35Q31 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Y. Zheng}, Indiana Univ. Math. J. 59, No. 1, 231--256 (2010; Zbl 1203.35167) Full Text: DOI
Li, Jiequan; Sheng, Wancheng; Zhang, Tong; Zheng, Yuxi Two-dimensional Riemann problems: from scalar conservation laws to compressible Euler equations. (English) Zbl 1212.35302 Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 4, 777-802 (2009). MSC: 35L65 35L67 76J20 76N15 PDFBibTeX XMLCite \textit{J. Li} et al., Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 4, 777--802 (2009; Zbl 1212.35302) Full Text: DOI
Zheng, Yuxi Two-dimensional Riemann problems for the compressible Euler system. (English) Zbl 1180.35356 Chin. Ann. Math., Ser. B 30, No. 6, 845-858 (2009). MSC: 35L65 35J70 35R35 35C06 PDFBibTeX XMLCite \textit{Y. Zheng}, Chin. Ann. Math., Ser. B 30, No. 6, 845--858 (2009; Zbl 1180.35356) Full Text: DOI
Song, Kyungwoo; Zheng, Yuxi Semi-hyperbolic patches of solutions of the pressure gradient system. (English) Zbl 1178.35254 Discrete Contin. Dyn. Syst. 24, No. 4, 1365-1380 (2009). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35J70 35R35 35L67 PDFBibTeX XMLCite \textit{K. Song} and \textit{Y. Zheng}, Discrete Contin. Dyn. Syst. 24, No. 4, 1365--1380 (2009; Zbl 1178.35254) Full Text: DOI
Zheng, Yuxi Absorption of characteristics by sonic curve of the two-dimensional Euler equations. (English) Zbl 1154.35402 Discrete Contin. Dyn. Syst. 23, No. 1-2, 605-616 (2009). MSC: 35L65 35J70 35R35 35J65 PDFBibTeX XMLCite \textit{Y. Zheng}, Discrete Contin. Dyn. Syst. 23, No. 1--2, 605--616 (2009; Zbl 1154.35402) Full Text: DOI
Glimm, James; Ji, Xiaomei; Li, Jiequan; Li, Xiaolin; Zhang, Peng; Zhang, Tong; Zheng, Yuxi Transonic shock formation in a rarefaction Riemann problem for the 2D compressible Euler equations. (English) Zbl 1191.35178 SIAM J. Appl. Math. 69, No. 3, 720-742 (2008). Reviewer: Argiris I. Delis (Chania) MSC: 35L67 35L65 76N15 PDFBibTeX XMLCite \textit{J. Glimm} et al., SIAM J. Appl. Math. 69, No. 3, 720--742 (2008; Zbl 1191.35178) Full Text: DOI
Zheng, Yuxi Two-dimensional regular shock reflection for the pressure gradient system of conservation laws. (English) Zbl 1106.35034 Acta Math. Appl. Sin., Engl. Ser. 22, No. 2, 177-210 (2006). MSC: 35L67 76N15 35L65 35J70 35R35 35J65 PDFBibTeX XMLCite \textit{Y. Zheng}, Acta Math. Appl. Sin., Engl. Ser. 22, No. 2, 177--210 (2006; Zbl 1106.35034) Full Text: DOI
Zheng, Yuxi A global solution to a two-dimensional Riemann problem involving shocks as free boundaries. (English) Zbl 1079.35068 Acta Math. Appl. Sin., Engl. Ser. 19, No. 4, 559-572 (2003). Reviewer: Sylvie Benzoni (Lyon) MSC: 35L67 35L65 35R35 76L05 76N15 35L45 PDFBibTeX XMLCite \textit{Y. Zheng}, Acta Math. Appl. Sin., Engl. Ser. 19, No. 4, 559--572 (2003; Zbl 1079.35068)
Zheng, Yuxi Systems of conservation laws. Two-dimensional Riemann problems. (English) Zbl 0971.35002 Progress in Nonlinear Differential Equations and their Applications. 38. Boston, MA: Birkhäuser. xv, 317 p. (2001). Reviewer: Evgeniy Panov (Novgorod) MSC: 35-02 35L65 35A35 PDFBibTeX XMLCite \textit{Y. Zheng}, Systems of conservation laws. Two-dimensional Riemann problems. Boston, MA: Birkhäuser (2001; Zbl 0971.35002)
Zheng, Yuxi Some problems of incompressible fluid dynamics. (Notes by Ping Zhang). (English) Zbl 0958.35112 Hsiao, Ling (ed.) et al., Some current topics on nonlinear conservation laws. Providence, RI: American Mathematical Society (AMS). AMS/IP Stud. Adv. Math. 15(1), 195-226 (2000). Reviewer: Vasile Ionescu (Bucureşti) MSC: 35Q35 76B47 35L65 PDFBibTeX XMLCite \textit{Y. Zheng}, AMS/IP Stud. Adv. Math. 15, 195--226 (2000; Zbl 0958.35112)
Zheng, Yuxi Systems of conservation laws with incomplete sets of eigenvectors everywhere. (English) Zbl 0929.35089 Chen, Gui-Qiang (ed.) et al., Advances in nonlinear partial differential equations and related areas. Proceedings of a conference dedicated to Professor Xiaqi Ding on the occasion of his 70th birthday, Beijing, China, August 9–10, 1997. Singapore: World Scientific. 399-426 (1998). MSC: 35L65 PDFBibTeX XMLCite \textit{Y. Zheng}, in: Advances in nonlinear partial differential equations and related areas. Proceedings of a conference dedicated to Professor Xiaqi Ding on the occasion of his 70th birthday, Beijing, China, August 9--10, 1997. Singapore: World Scientific. 399--426 (1998; Zbl 0929.35089)
Tan, Dechun; Zhang, Tong; Zheng, Yuxi Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws. (English) Zbl 0804.35077 J. Differ. Equations 112, No. 1, 1-32 (1994). MSC: 35L65 35L67 35L45 35D05 35B30 35B40 PDFBibTeX XMLCite \textit{D. Tan} et al., J. Differ. Equations 112, No. 1, 1--32 (1994; Zbl 0804.35077) Full Text: DOI
Zhang, Tong; Zheng, Yuxi Conjecture on the structure of solutions of the Riemann problem for two- dimensional gas dynamics systems. (English) Zbl 0726.35081 SIAM J. Math. Anal. 21, No. 3, 593-630 (1990). Reviewer: A.Corli (Ferrara) MSC: 35L65 35L67 65M99 76P05 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Y. Zheng}, SIAM J. Math. Anal. 21, No. 3, 593--630 (1990; Zbl 0726.35081) Full Text: DOI
Zhang, Tong; Zheng, Yuxi Two-dimensional Riemann problem for a single conservation law. (English) Zbl 0704.35095 Trans. Am. Math. Soc. 312, No. 2, 589-619 (1989). Reviewer: R.H.W.Hoppe MSC: 35L65 35L67 35B99 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Y. Zheng}, Trans. Am. Math. Soc. 312, No. 2, 589--619 (1989; Zbl 0704.35095) Full Text: DOI