Zhang, Tianyou; Zheng, Yuxi Existence of classical sonic-supersonic solutions for the pseudo steady Euler equations. (Chinese. English summary) Zbl 07494488 Sci. Sin., Math. 47, No. 10, 1367-1384 (2017). MSC: 35A01 35A09 35Q31 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{Y. Zheng}, Sci. Sin., Math. 47, No. 10, 1367--1384 (2017; Zbl 07494488) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{K. Song} et al., SIAM J. Math. Anal. 47, No. 3, 2200--2219 (2015; Zbl 1325.35153) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{Y. Zheng}, Indiana Univ. Math. J. 63, No. 6, 1785--1817 (2014; Zbl 1320.35245) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{Q. Wang} and \textit{Y. Zheng}, Indiana Univ. Math. J. 63, No. 2, 385--402 (2014; Zbl 1336.35099) Full Text: DOI Link OpenURL
Ji, Xiaomei; Zheng, Yuxi Characteristic decouplings and interactions of rarefaction waves of 2D Euler equations. (English) Zbl 1306.35091 J. Math. Anal. Appl. 406, No. 1, 4-14 (2013). MSC: 35Q31 35Q35 35A09 PDF BibTeX XML Cite \textit{X. Ji} and \textit{Y. Zheng}, J. Math. Anal. Appl. 406, No. 1, 4--14 (2013; Zbl 1306.35091) Full Text: DOI OpenURL
Li, Mingjie; Zheng, Yuxi Semi-hyperbolic patches of solutions to the two-dimensional Euler equations. (English) Zbl 1270.76064 Arch. Ration. Mech. Anal. 201, No. 3, 1069-1096 (2011). MSC: 76N10 35Q31 76H05 76L05 PDF BibTeX XML Cite \textit{M. Li} and \textit{Y. Zheng}, Arch. Ration. Mech. Anal. 201, No. 3, 1069--1096 (2011; Zbl 1270.76064) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Y. Zheng}, IMA Vol. Math. Appl. 153, 457--468 (2011; Zbl 1246.35155) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Y. Zheng} and \textit{Z. Robinson}, Methods Appl. Anal. 17, No. 3, 263--278 (2010; Zbl 1227.35208) Full Text: DOI Euclid OpenURL
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 PDF BibTeX XML Cite \textit{X. Chen} and \textit{Y. Zheng}, Indiana Univ. Math. J. 59, No. 1, 231--256 (2010; Zbl 1203.35167) Full Text: DOI OpenURL
Li, Jiequan; Zheng, Yuxi Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations. (English) Zbl 1193.35140 Commun. Math. Phys. 296, No. 2, 303-321 (2010). MSC: 35Q31 35Q15 76N10 37N20 35A30 PDF BibTeX XML Cite \textit{J. Li} and \textit{Y. Zheng}, Commun. Math. Phys. 296, No. 2, 303--321 (2010; Zbl 1193.35140) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Li} et al., Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 4, 777--802 (2009; Zbl 1212.35302) Full Text: DOI OpenURL
Lei, Zhen; Zheng, Yuxi A complete global solution to the pressure gradient equation. (English) Zbl 1116.35102 J. Differ. Equations 236, No. 1, 280-292 (2007). Reviewer: Valeriu Al. Sava (Iaşi) MSC: 35Q05 35R35 PDF BibTeX XML Cite \textit{Z. Lei} and \textit{Y. Zheng}, J. Differ. Equations 236, No. 1, 280--292 (2007; Zbl 1116.35102) Full Text: DOI arXiv OpenURL
Lopes Filho, Milton C.; Lowengrub, John; Nussenzveig Lopes, Helena J.; Zheng, Yuxi Numerical evidence of nonuniqueness in the evolution of vortex sheets. (English) Zbl 1124.76010 ESAIM, Math. Model. Numer. Anal. 40, No. 2, 225-237 (2006). MSC: 76B47 76B03 76M23 35Q30 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., ESAIM, Math. Model. Numer. Anal. 40, No. 2, 225--237 (2006; Zbl 1124.76010) Full Text: DOI Numdam EuDML OpenURL
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 PDF BibTeX XML Cite \textit{Y. Zheng}, Systems of conservation laws. Two-dimensional Riemann problems. Boston, MA: Birkhäuser (2001; Zbl 0971.35002) OpenURL
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 PDF BibTeX XML Cite \textit{Y. Zheng}, AMS/IP Stud. Adv. Math. 15, 195--226 (2000; Zbl 0958.35112) OpenURL
Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Zheng, Yuxi Convergence of the vanishing viscosity approximation for superpositions of confined eddies. (English) Zbl 0942.76012 Commun. Math. Phys. 201, No. 2, 291-304 (1999). Reviewer: F.Kaplanski (Tallinn) MSC: 76D03 76D05 35Q30 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., Commun. Math. Phys. 201, No. 2, 291--304 (1999; Zbl 0942.76012) Full Text: DOI OpenURL
Zhang, Tong; Zheng, Yuxi Exact spiral solutions of the two-dimensional Euler equations. (English) Zbl 0948.35104 Discrete Contin. Dyn. Syst. 3, No. 1, 117-133 (1997). MSC: 35Q35 35C05 76N10 76B47 76D17 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{Y. Zheng}, Discrete Contin. Dyn. Syst. 3, No. 1, 117--133 (1997; Zbl 0948.35104) Full Text: DOI OpenURL
Zhang, T.; Zheng, Y. Explicit and exact swirling solutions of the 2-D Euler equations. (English) Zbl 0888.76078 Z. Angew. Math. Mech. 76, Suppl. 2, 145-148 (1996). MSC: 76N10 35Q35 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{Y. Zheng}, Z. Angew. Math. Mech. 76, 145--148 (1996; Zbl 0888.76078) Full Text: DOI OpenURL
Majda, Andrew J.; Majda, George; Zheng, Yuxi Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case. (English) Zbl 0813.35091 Physica D 74, No. 3-4, 268-300 (1994). MSC: 35Q35 35D05 82C31 PDF BibTeX XML Cite \textit{A. J. Majda} et al., Physica D 74, No. 3--4, 268--300 (1994; Zbl 0813.35091) Full Text: DOI OpenURL