Chen, Jianjun; Lai, Geng Self-similar solutions of the spherically symmetric Euler equations for general equations of state. (English) Zbl 1479.35186 Commun. Math. Sci. 19, No. 7, 1991-2018 (2021). MSC: 35C06 35L60 35L65 35L67 35Q31 PDF BibTeX XML Cite \textit{J. Chen} and \textit{G. Lai}, Commun. Math. Sci. 19, No. 7, 1991--2018 (2021; Zbl 1479.35186) Full Text: DOI arXiv OpenURL
Lai, Geng Global continuous sonic-supersonic flows in two-dimensional semi-infinite divergent ducts. (English) Zbl 07388755 J. Math. Fluid Mech. 23, No. 3, Paper No. 77, 30 p. (2021). MSC: 35Q31 35L65 35L60 35L67 76G25 76J20 35A01 PDF BibTeX XML Cite \textit{G. Lai}, J. Math. Fluid Mech. 23, No. 3, Paper No. 77, 30 p. (2021; Zbl 07388755) Full Text: DOI OpenURL
Lai, Geng; Zhao, Qing Existence of global bounded smooth solutions for the one-dimensional nonisentropic Euler system. (English) Zbl 1475.35254 Math. Methods Appl. Sci. 44, No. 2, 2226-2236 (2021). MSC: 35Q31 35L65 35L60 35L67 35B65 76N10 PDF BibTeX XML Cite \textit{G. Lai} and \textit{Q. Zhao}, Math. Methods Appl. Sci. 44, No. 2, 2226--2236 (2021; Zbl 1475.35254) 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
Lai, Geng; Xie, Sisi Rarefaction wave interaction and shock-rarefaction composite wave interaction for a two-dimensional nonlinear wave system. (English) Zbl 1465.35304 Chin. Ann. Math., Ser. B 42, No. 1, 135-150 (2021). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L65 35Q31 PDF BibTeX XML Cite \textit{G. Lai} and \textit{S. Xie}, Chin. Ann. Math., Ser. B 42, No. 1, 135--150 (2021; Zbl 1465.35304) 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
Lai, Geng Global nonisentropic rotational supersonic flows in a semi-infinite divergent duct. (English) Zbl 1453.35127 SIAM J. Math. Anal. 52, No. 5, 5121-5154 (2020). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35L60 35L67 76J20 35Q31 PDF BibTeX XML Cite \textit{G. Lai}, SIAM J. Math. Anal. 52, No. 5, 5121--5154 (2020; Zbl 1453.35127) Full Text: DOI arXiv OpenURL
Lai, Geng Global solutions to a class of two-dimensional Riemann problems for the Euler equations with a general equation of state. (English) Zbl 1435.35246 Indiana Univ. Math. J. 68, No. 5, 1409-1464 (2019). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35L67 35C06 35L45 35Q31 PDF BibTeX XML Cite \textit{G. Lai}, Indiana Univ. Math. J. 68, No. 5, 1409--1464 (2019; Zbl 1435.35246) Full Text: DOI OpenURL
Lai, Geng Detonation wave solution to a 1D piston problem for the Zeldovich-von Neumann-Döring combustion model. (English) Zbl 1442.35257 J. Differ. Equations 267, No. 9, 4949-4974 (2019). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L65 35Q31 PDF BibTeX XML Cite \textit{G. Lai}, J. Differ. Equations 267, No. 9, 4949--4974 (2019; Zbl 1442.35257) Full Text: DOI OpenURL
Chen, Jianjun; Lai, Geng; Zhang, Jiayi Boundary value problems for the 2D steady relativistic Euler equations with general equation of state. (English) Zbl 1403.35213 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 175, 56-72 (2018). MSC: 35Q31 35L65 35L67 76B10 PDF BibTeX XML Cite \textit{J. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 175, 56--72 (2018; Zbl 1403.35213) Full Text: DOI OpenURL
Lai, Geng Interactions of composite waves of the two-dimensional full Euler equations for van der Waals gases. (English) Zbl 1394.35276 SIAM J. Math. Anal. 50, No. 4, 3535-3597 (2018). MSC: 35L65 35L67 35Q31 76N15 35M12 PDF BibTeX XML Cite \textit{G. Lai}, SIAM J. Math. Anal. 50, No. 4, 3535--3597 (2018; Zbl 1394.35276) Full Text: DOI OpenURL
Lai, Geng Interaction of fan-jump-fan composite waves in a two-dimensional steady jet for van der Waals gases. (English) Zbl 1368.35179 J. Hyperbolic Differ. Equ. 14, No. 1, 73-134 (2017). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35L67 35A01 35M12 35Q31 PDF BibTeX XML Cite \textit{G. Lai}, J. Hyperbolic Differ. Equ. 14, No. 1, 73--134 (2017; Zbl 1368.35179) 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
Lai, Geng On the expansion of a wedge of van der Waals gas into a vacuum. II. (English) Zbl 1354.35078 J. Differ. Equations 260, No. 4, 3538-3575 (2016). MSC: 35Q31 35L65 35J70 35R35 35J65 76N10 PDF BibTeX XML Cite \textit{G. Lai}, J. Differ. Equations 260, No. 4, 3538--3575 (2016; Zbl 1354.35078) Full Text: DOI OpenURL
Lai, Geng Interaction of jump-fan composite waves in a two-dimensional jet for van der Waals gases. (English) Zbl 1338.76111 J. Math. Phys. 56, No. 6, 061504, 20 p. (2015). MSC: 76N15 76J20 76L05 35L65 35Q31 PDF BibTeX XML Cite \textit{G. Lai}, J. Math. Phys. 56, No. 6, 061504, 20 p. (2015; Zbl 1338.76111) Full Text: DOI OpenURL
Lai, Geng On the expansion of a wedge of van der Waals gas into a vacuum. (English) Zbl 1317.35203 J. Differ. Equations 259, No. 3, 1181-1202 (2015). Reviewer: Mamadou Sy (Saint-Louis) MSC: 35Q35 35L65 35J70 35R35 35J65 35Q31 PDF BibTeX XML Cite \textit{G. Lai}, J. Differ. Equations 259, No. 3, 1181--1202 (2015; Zbl 1317.35203) Full Text: DOI OpenURL
Lai, Geng; Shen, Chun Characteristic decompositions and boundary value problems for two-dimensional steady relativistic Euler equations. (English) Zbl 1292.35218 Math. Methods Appl. Sci. 37, No. 1, 136-147 (2014). MSC: 35Q31 35L65 35J70 35R35 35J65 PDF BibTeX XML Cite \textit{G. Lai} and \textit{C. Shen}, Math. Methods Appl. Sci. 37, No. 1, 136--147 (2014; Zbl 1292.35218) 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
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