Li, Shuangrong; Sheng, Wancheng Two-dimensional pseudo-steady supersonic isothermal flow around a sharp corner. (English) Zbl 07686668 J. Math. Anal. Appl. 525, No. 2, Article ID 127155, 20 p. (2023). MSC: 35Qxx 35Lxx 76Nxx PDF BibTeX XML Cite \textit{S. Li} and \textit{W. Sheng}, J. Math. Anal. Appl. 525, No. 2, Article ID 127155, 20 p. (2023; Zbl 07686668) Full Text: DOI OpenURL
Liu, Sijie; Sheng, Wancheng The stability of the delta wave to pressureless Euler equations with viscous and flux perturbations. (English) Zbl 1499.35401 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1519-1535 (2022). MSC: 35L65 35L60 35L67 PDF BibTeX XML Cite \textit{S. Liu} and \textit{W. Sheng}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1519--1535 (2022; Zbl 1499.35401) Full Text: DOI OpenURL
Zhang, Qinglong; Sheng, Wancheng A random choice method based on the generalized Riemann problem for the Euler equations in gas dynamics. (English) Zbl 07513818 J. Comput. Phys. 441, Article ID 110431, 14 p. (2021). MSC: 76Mxx 65Mxx 76Nxx PDF BibTeX XML Cite \textit{Q. Zhang} and \textit{W. Sheng}, J. Comput. Phys. 441, Article ID 110431, 14 p. (2021; Zbl 07513818) Full Text: DOI OpenURL
Zhang, Qinglong; Sheng, Wancheng Interaction of elementary waves for the Aw-Rascle traffic flow model with variable Lane width. (English) Zbl 1475.35205 Z. Angew. Math. Phys. 72, No. 5, Paper No. 175, 16 p. (2021). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L65 35L80 35Q31 35L60 35R35 35L67 76A30 PDF BibTeX XML Cite \textit{Q. Zhang} and \textit{W. Sheng}, Z. Angew. Math. Phys. 72, No. 5, Paper No. 175, 16 p. (2021; Zbl 1475.35205) Full Text: DOI OpenURL
Lai, Geng; Sheng, Wancheng Two-dimensional pseudosteady flows around a sharp corner. (English) Zbl 1472.35278 Arch. Ration. Mech. Anal. 241, No. 2, 805-884 (2021). MSC: 35Q31 76N10 76H05 76J20 35C06 35B65 35B45 35L80 35A01 PDF BibTeX XML Cite \textit{G. Lai} and \textit{W. Sheng}, Arch. Ration. Mech. Anal. 241, No. 2, 805--884 (2021; Zbl 1472.35278) Full Text: DOI OpenURL
Chen, Honghua; Sheng, Wancheng The piston problem of the Euler equations for van der Waals gas. (Chinese. English summary) Zbl 1474.35467 Chin. Ann. Math., Ser. A 41, No. 3, 263-278 (2020). MSC: 35L65 35L67 35Q31 PDF BibTeX XML Cite \textit{H. Chen} and \textit{W. Sheng}, Chin. Ann. Math., Ser. A 41, No. 3, 263--278 (2020; Zbl 1474.35467) Full Text: DOI OpenURL
Chen, Jianjun; Lai, Geng; Sheng, Wancheng On the rarefaction waves of the two-dimensional compressible Euler equations for magnetohydrodynamics. (English) Zbl 1455.35182 J. Hyperbolic Differ. Equ. 17, No. 3, 591-612 (2020). MSC: 35Q31 35L65 35L04 35L60 76N10 76W05 76P05 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Hyperbolic Differ. Equ. 17, No. 3, 591--612 (2020; Zbl 1455.35182) Full Text: DOI OpenURL
Sheng, Wancheng; Yao, Aidi Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner. (English) Zbl 1416.35160 AMM, Appl. Math. Mech., Engl. Ed. 40, No. 5, 705-718 (2019). MSC: 35L60 35L65 35L67 76J20 35R03 35C06 35Q35 PDF BibTeX XML Cite \textit{W. Sheng} and \textit{A. Yao}, AMM, Appl. Math. Mech., Engl. Ed. 40, No. 5, 705--718 (2019; Zbl 1416.35160) Full Text: DOI OpenURL
Liu, Zhaoyang; Sheng, Wancheng; Zhang, Qinglong Limits of Riemann solutions to Euler equations in magnetogasdynamics as magnetic field vanishes. (Chinese. English summary) Zbl 1438.76050 Commun. Appl. Math. Comput. 32, No. 3, 447-456 (2018). MSC: 76W05 76N15 35L45 35L60 35L65 35Q31 PDF BibTeX XML Cite \textit{Z. Liu} et al., Commun. Appl. Math. Comput. 32, No. 3, 447--456 (2018; Zbl 1438.76050) Full Text: DOI OpenURL
Sheng, Wancheng; You, Shouke The two-dimensional unsteady supersonic flow around a convex corner. (English) Zbl 1418.35253 J. Hyperbolic Differ. Equ. 15, No. 3, 443-461 (2018). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L04 35L65 58J45 76N10 35L60 35Q31 35C06 PDF BibTeX XML Cite \textit{W. Sheng} and \textit{S. You}, J. Hyperbolic Differ. Equ. 15, No. 3, 443--461 (2018; Zbl 1418.35253) Full Text: DOI OpenURL
Sheng, Wancheng; You, Shouke Interaction of a centered simple wave and a planar rarefaction wave of the two-dimensional Euler equations for pseudo-steady compressible flow. (English. French summary) Zbl 1394.35339 J. Math. Pures Appl. (9) 114, 29-50 (2018). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q31 35B45 76J20 35L65 35J70 35R35 35J65 PDF BibTeX XML Cite \textit{W. Sheng} and \textit{S. You}, J. Math. Pures Appl. (9) 114, 29--50 (2018; Zbl 1394.35339) Full Text: DOI OpenURL
Chen, Jianjun; Sheng, Wancheng Simple waves of the two dimensional compressible Euler equations in magnetohydrodynamics. (English) Zbl 1379.35222 Appl. Math. Lett. 75, 24-29 (2018). MSC: 35Q31 76W05 76N15 PDF BibTeX XML Cite \textit{J. Chen} and \textit{W. Sheng}, Appl. Math. Lett. 75, 24--29 (2018; Zbl 1379.35222) Full Text: DOI OpenURL
Chen, Jianjun; Sheng, Wancheng The Riemann problem and the limit solutions as magnetic field vanishes to magnetogasdynamics for generalized Chaplygin gas. (English) Zbl 1377.35197 Commun. Pure Appl. Anal. 17, No. 1, 127-142 (2018). MSC: 35L67 35L65 35J70 35R35 35J65 35Q31 76W05 PDF BibTeX XML Cite \textit{J. Chen} and \textit{W. Sheng}, Commun. Pure Appl. Anal. 17, No. 1, 127--142 (2018; Zbl 1377.35197) Full Text: DOI OpenURL
Sheng, Wancheng; Wang, Guojuan Structural stability of Riemann solutions to Euler equations for Chaplygin gas. (English) Zbl 1399.35070 Commun. Appl. Math. Comput. 31, No. 3, 290-302 (2017). MSC: 35B35 35L67 35Q31 PDF BibTeX XML Cite \textit{W. Sheng} and \textit{G. Wang}, Commun. Appl. Math. Comput. 31, No. 3, 290--302 (2017; Zbl 1399.35070) Full Text: DOI OpenURL
Sheng, Wancheng; Wang, Bin Riemann problem and interaction of elementary waves to the Euler equations for Van der Waals gas. (Chinese. English summary) Zbl 1389.35253 Chin. Ann. Math., Ser. A 37, No. 4, 377-396 (2016). MSC: 35Q31 76N10 PDF BibTeX XML Cite \textit{W. Sheng} and \textit{B. Wang}, Chin. Ann. Math., Ser. A 37, No. 4, 377--396 (2016; Zbl 1389.35253) Full Text: DOI OpenURL
Lai, Geng; Sheng, Wancheng Elementary wave interactions to the compressible Euler equations for Chaplygin gas in two dimensions. (English) Zbl 1357.35218 SIAM J. Appl. Math. 76, No. 6, 2218-2242 (2016). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35J70 35J65 35R35 35L67 35Q31 PDF BibTeX XML Cite \textit{G. Lai} and \textit{W. Sheng}, SIAM J. Appl. Math. 76, No. 6, 2218--2242 (2016; Zbl 1357.35218) Full Text: DOI OpenURL
Lai, Geng; Sheng, Wancheng Two-dimensional centered wave flow patches to the Guderley Mach reflection configurations for steady flows in gas dynamics. (English) Zbl 1339.35225 J. Hyperbolic Differ. Equ. 13, No. 1, 107-128 (2016). MSC: 35Q31 76L05 PDF BibTeX XML Cite \textit{G. Lai} and \textit{W. Sheng}, J. Hyperbolic Differ. Equ. 13, No. 1, 107--128 (2016; Zbl 1339.35225) Full Text: DOI OpenURL
Yin, Gan; Sheng, Wancheng Delta wave formation and vacuum state in vanishing pressure limit for system of conservation laws to relativistic fluid dynamics. (English) Zbl 1322.76077 ZAMM, Z. Angew. Math. Mech. 95, No. 1, 49-65 (2015). MSC: 76Y05 35L65 35Q35 PDF BibTeX XML Cite \textit{G. Yin} and \textit{W. Sheng}, ZAMM, Z. Angew. Math. Mech. 95, No. 1, 49--65 (2015; Zbl 1322.76077) Full Text: DOI OpenURL
Sheng, Wancheng; Wang, Guojuan; Yin, Gan Delta wave and vacuum state for generalized Chaplygin gas dynamics system as pressure vanishes. (English) Zbl 1308.35193 Nonlinear Anal., Real World Appl. 22, 115-128 (2015). MSC: 35Q31 76N15 82C40 PDF BibTeX XML Cite \textit{W. Sheng} et al., Nonlinear Anal., Real World Appl. 22, 115--128 (2015; Zbl 1308.35193) Full Text: DOI OpenURL
Ge, Ju; Sheng, Wancheng The two dimensional gas expansion problem of the Euler equations for the generalized Chaplygin gas. (English) Zbl 1304.35518 Commun. Pure Appl. Anal. 13, No. 6, 2733-2748 (2014). MSC: 35Q31 35L65 35L80 35R35 35L60 35L50 PDF BibTeX XML Cite \textit{J. Ge} and \textit{W. Sheng}, Commun. Pure Appl. Anal. 13, No. 6, 2733--2748 (2014; Zbl 1304.35518) Full Text: DOI OpenURL
Xiao, Wei; Sheng, Wancheng Characteristic decompositions and simple waves of two dimensional pressure-gradient equations. (Chinese. English summary) Zbl 1313.35251 Commun. Appl. Math. Comput. 28, No. 1, 53-61 (2014). MSC: 35Q31 76N15 PDF BibTeX XML Cite \textit{W. Xiao} and \textit{W. Sheng}, Commun. Appl. Math. Comput. 28, No. 1, 53--61 (2014; Zbl 1313.35251) Full Text: DOI OpenURL
Hu, Yanbo; Li, Jiequan; Sheng, Wancheng Degenerate Goursat-type boundary value problems arising from the study of two-dimensional isothermal Euler equations. (English) Zbl 1259.35144 Z. Angew. Math. Phys. 63, No. 6, 1021-1046 (2012). MSC: 35M12 35L65 35J70 35R35 35J65 35Q31 PDF BibTeX XML Cite \textit{Y. Hu} et al., Z. Angew. Math. Phys. 63, No. 6, 1021--1046 (2012; Zbl 1259.35144) Full Text: DOI OpenURL
Hu, Yanbo; Sheng, Wancheng Characteristic decomposition of the \(2\times 2\) quasilinear strictly hyperbolic systems. (English) Zbl 1246.35126 Appl. Math. Lett. 25, No. 3, 262-267 (2012). MSC: 35L60 35Q31 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{W. Sheng}, Appl. Math. Lett. 25, No. 3, 262--267 (2012; Zbl 1246.35126) Full Text: DOI OpenURL
Lai, Geng; Sheng, Wancheng Nonexistence of the von Neumann reflection configuration for the triple point paradox. (English) Zbl 1242.35189 SIAM J. Appl. Math. 71, No. 6, 2072-2092 (2011). Reviewer: Evgeniy Panov (Novgorod) MSC: 35Q31 35L65 35R35 76N10 PDF BibTeX XML Cite \textit{G. Lai} and \textit{W. Sheng}, SIAM J. Appl. Math. 71, No. 6, 2072--2092 (2011; Zbl 1242.35189) Full Text: DOI OpenURL
Guo, Lihui; Sheng, Wancheng Axisymmetric solutions of the Euler system for the Chaplygin gas. (Chinese. English translation) Zbl 1240.35354 Chin. Ann. Math., Ser. A 32, No. 2, 193-204 (2011); translation in Chin. J. Contemp. Math. 32, No. 2, 171-182 (2011). MSC: 35L65 35L67 76L05 76N10 PDF BibTeX XML Cite \textit{L. Guo} and \textit{W. Sheng}, Chin. Ann. Math., Ser. A 32, No. 2, 193--204 (2011; Zbl 1240.35354); translation in Chin. J. Contemp. Math. 32, No. 2, 171--182 (2011) OpenURL
Liu, Fengling; Sheng, Wancheng Interaction of elementary waves for relativistic Euler equations. (English) Zbl 1240.35356 J. Shanghai Univ. 14, No. 6, 405-409 (2010). MSC: 35L65 76N10 PDF BibTeX XML Cite \textit{F. Liu} and \textit{W. Sheng}, J. Shanghai Univ. 14, No. 6, 405--409 (2010; Zbl 1240.35356) Full Text: DOI OpenURL
Cai, Yuxin; Sheng, Wancheng The simple waves and double waves patterns for three-dimensional compressible Euler equations. (Chinese. English summary) Zbl 1240.35396 Commun. Appl. Math. Comput. 24, No. 2, 75-79 (2010). MSC: 35Q31 76N99 PDF BibTeX XML Cite \textit{Y. Cai} and \textit{W. Sheng}, Commun. Appl. Math. Comput. 24, No. 2, 75--79 (2010; Zbl 1240.35396) OpenURL
Sheng, Wancheng; Wang, Guodong; Zhang, Tong Critical transonic shock and supersonic bubble in oblique rarefaction wave reflection along a compressive corner. (English) Zbl 1211.35195 SIAM J. Appl. Math. 70, No. 8, 3140-3155 (2010). MSC: 35L67 35Q31 35L65 35J70 35R35 76N10 35J65 PDF BibTeX XML Cite \textit{W. Sheng} et al., SIAM J. Appl. Math. 70, No. 8, 3140--3155 (2010; Zbl 1211.35195) Full Text: DOI OpenURL
Lai, Geng; Sheng, Wan-cheng Simple waves for two-dimensional compressible pseudo-steady Euler system. (English) Zbl 1204.35130 Appl. Math. Mech., Engl. Ed. 31, No. 7, 827-838 (2010). MSC: 35Q31 35R35 76N10 35A30 76H05 PDF BibTeX XML Cite \textit{G. Lai} and \textit{W.-c. Sheng}, Appl. Math. Mech., Engl. Ed. 31, No. 7, 827--838 (2010; Zbl 1204.35130) 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
Sheng, Wancheng; Zhang, Tong Structural stability of solutions to the Riemann problem for ascalar nonconvex CJ combustion model. (English) Zbl 1180.35353 Discrete Contin. Dyn. Syst. 25, No. 2, 651-667 (2009). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35L60 35L67 76N10 80A25 35Q31 PDF BibTeX XML Cite \textit{W. Sheng} and \textit{T. Zhang}, Discrete Contin. Dyn. Syst. 25, No. 2, 651--667 (2009; Zbl 1180.35353) Full Text: DOI OpenURL
Sheng, Wancheng; Yin, Gan Transonic shock and supersonic shock in the regular reflection of a planar shock. (English) Zbl 1169.76029 Z. Angew. Math. Phys. 60, No. 3, 438-449 (2009). MSC: 76L05 76H05 76J20 PDF BibTeX XML Cite \textit{W. Sheng} and \textit{G. Yin}, Z. Angew. Math. Phys. 60, No. 3, 438--449 (2009; Zbl 1169.76029) Full Text: DOI OpenURL
Yin, Gan; Sheng, Wancheng Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for polytropic gases. (English) Zbl 1167.35047 J. Math. Anal. Appl. 355, No. 2, 594-605 (2009). MSC: 35Q75 76Y05 PDF BibTeX XML Cite \textit{G. Yin} and \textit{W. Sheng}, J. Math. Anal. Appl. 355, No. 2, 594--605 (2009; Zbl 1167.35047) Full Text: DOI OpenURL
Yin, Gan; Sheng, Wancheng Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations. (English) Zbl 1180.35359 Chin. Ann. Math., Ser. B 29, No. 6, 611-622 (2008). MSC: 35L67 35L65 35Q31 76Y99 76L05 76N10 PDF BibTeX XML Cite \textit{G. Yin} and \textit{W. Sheng}, Chin. Ann. Math., Ser. B 29, No. 6, 611--622 (2008; Zbl 1180.35359) Full Text: DOI OpenURL
Sheng, Wancheng; Zhang, Tong The Riemann problem for the transportation equations in gas dynamics. (English) Zbl 0913.35082 Mem. Am. Math. Soc. 654, 77 p. (1999). Reviewer: Vladimir Shelukhin (Rio de Janeiro) MSC: 35L65 35L67 35L80 65M25 76N15 76N10 PDF BibTeX XML Cite \textit{W. Sheng} and \textit{T. Zhang}, The Riemann problem for the transportation equations in gas dynamics. Providence, RI: American Mathematical Society (AMS) (1999; Zbl 0913.35082) Full Text: DOI OpenURL