Xiao, Wei; Li, Weili Simple waves of the two dimensional compressible Euler system for a class of pressure laws. (English) Zbl 07453768 Indian J. Pure Appl. Math. 52, No. 4, 1113-1122 (2021). MSC: 35Q31 35L65 PDF BibTeX XML Cite \textit{W. Xiao} and \textit{W. Li}, Indian J. Pure Appl. Math. 52, No. 4, 1113--1122 (2021; Zbl 07453768) Full Text: DOI OpenURL
Jia, Yifei; Guo, Lihui; You, Shouke Characteristic decompositions of the \(3 \times 3\) reducible quasilinear strictly hyperbolic system. (English) Zbl 1475.35201 Appl. Math. Lett. 121, Article ID 107441, 8 p. (2021). MSC: 35L40 35A22 PDF BibTeX XML Cite \textit{Y. Jia} et al., Appl. Math. Lett. 121, Article ID 107441, 8 p. (2021; Zbl 1475.35201) Full Text: DOI OpenURL
Lai, Geng Global continuous sonic-supersonic flows in two-dimensional semi-infinite divergent ducts. (English) Zbl 1486.35338 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 1486.35338) 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
Liu, Jianli; Xue, Jie Global simple wave solutions to a kind of two dimensional hyperbolic system of conservation laws. (English) Zbl 07551200 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 1, 261-271 (2020). MSC: 35L51 35C06 35L65 PDF BibTeX XML Cite \textit{J. Liu} and \textit{J. Xue}, Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 1, 261--271 (2020; Zbl 07551200) 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
Hu, Yanbo; Li, Jiequan On a global supersonic-sonic patch characterized by 2-d steady full Euler equations. (English) Zbl 1448.35334 Adv. Differ. Equ. 25, No. 5-6, 213-254 (2020). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L65 35L80 76H05 35Q31 35B65 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{J. Li}, Adv. Differ. Equ. 25, No. 5--6, 213--254 (2020; Zbl 1448.35334) Full Text: arXiv Euclid OpenURL
Chen, Jianjun; Yin, Gan; You, Shouke Expansion of gas by turning a sharp corner into vacuum for 2-D pseudo-steady compressible magnetohydrodynamics system. (English) Zbl 1460.76922 Nonlinear Anal., Real World Appl. 52, Article ID 102955, 24 p. (2020). MSC: 76W05 76N10 35Q35 PDF BibTeX XML Cite \textit{J. Chen} et al., Nonlinear Anal., Real World Appl. 52, Article ID 102955, 24 p. (2020; Zbl 1460.76922) Full Text: DOI OpenURL
Hu, Yanbo; Li, Tong The regularity of a degenerate Goursat problem for the 2-D isothermal Euler equations. (English) Zbl 1480.35083 Commun. Pure Appl. Anal. 18, No. 6, 3317-3336 (2019). MSC: 35B65 35L65 35L80 35Q31 35R35 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{T. Li}, Commun. Pure Appl. Anal. 18, No. 6, 3317--3336 (2019; Zbl 1480.35083) Full Text: DOI OpenURL
Hu, Dian; Zhang, Yongqian Global conic shock wave for the steady supersonic flow past a curved cone. (English) Zbl 1428.35219 SIAM J. Math. Anal. 51, No. 3, 2372-2389 (2019). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L65 35M10 35B35 76H05 76N10 35Q31 PDF BibTeX XML Cite \textit{D. Hu} and \textit{Y. Zhang}, SIAM J. Math. Anal. 51, No. 3, 2372--2389 (2019; Zbl 1428.35219) 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
Chen, Jianjun; Lai, Geng Semi-hyperbolic patches of solutions to the two-dimensional compressible magnetohydrodynamic equations. (English) Zbl 1406.35266 Commun. Pure Appl. Anal. 18, No. 2, 943-958 (2019). MSC: 35Q35 35L65 35J70 35R35 35J65 76W05 76L05 76H05 76N10 PDF BibTeX XML Cite \textit{J. Chen} and \textit{G. Lai}, Commun. Pure Appl. Anal. 18, No. 2, 943--958 (2019; Zbl 1406.35266) 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
Chen, Jianjun; Yin, Gan The expansion of supersonic flows into a vacuum through a convex duct with limited length. (English) Zbl 1411.35200 Z. Angew. Math. Phys. 69, No. 4, Paper No. 101, 13 p. (2018). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35J70 35R35 35J65 76J20 35Q31 PDF BibTeX XML Cite \textit{J. Chen} and \textit{G. Yin}, Z. Angew. Math. Phys. 69, No. 4, Paper No. 101, 13 p. (2018; Zbl 1411.35200) Full Text: DOI OpenURL
Hu, Yanbo; Li, Tong An improved regularity result of semi-hyperbolic patch problems for the 2-D isentropic Euler equations. (English) Zbl 1395.35060 J. Math. Anal. Appl. 467, No. 2, 1174-1193 (2018). MSC: 35B65 35Q31 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{T. Li}, J. Math. Anal. Appl. 467, No. 2, 1174--1193 (2018; Zbl 1395.35060) 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
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
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
Sen, Anupam; Sekhar, T. Raja; Sharma, V. D. Wave interactions and stability of the Riemann solution for a strictly hyperbolic system of conservation laws. (English) Zbl 1362.35185 Q. Appl. Math. 75, No. 3, 539-554 (2017). MSC: 35L65 35L45 58J45 35Q35 35L67 35B35 PDF BibTeX XML Cite \textit{A. Sen} et al., Q. Appl. Math. 75, No. 3, 539--554 (2017; Zbl 1362.35185) 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
Ge, Ju; Sheng, Wancheng The expansion of a wedge of gas into vacuum with small angle in two-dimensional isothermal flow. (English) Zbl 1338.35289 Chin. Ann. Math., Ser. B 37, No. 3, 395-404 (2016). MSC: 35L65 35L80 35R35 35L60 35L50 PDF BibTeX XML Cite \textit{J. Ge} and \textit{W. Sheng}, Chin. Ann. Math., Ser. B 37, No. 3, 395--404 (2016; Zbl 1338.35289) Full Text: DOI OpenURL
Zafar, M.; Sharma, V. D. Expansion of a wedge of non-ideal gas into vacuum. (English) Zbl 1342.35238 Nonlinear Anal., Real World Appl. 31, 580-592 (2016). MSC: 35Q31 82D05 76J20 76N15 PDF BibTeX XML Cite \textit{M. Zafar} and \textit{V. D. Sharma}, Nonlinear Anal., Real World Appl. 31, 580--592 (2016; Zbl 1342.35238) 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
Hu, Yanbo; Sheng, Wancheng Simple waves and characteristic decompositions of quasilinear hyperbolic systems in two independent variables. (English) Zbl 1326.35194 Math. Methods Appl. Sci. 38, No. 8, 1494-1505 (2015). MSC: 35L60 35L45 35A30 35L65 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{W. Sheng}, Math. Methods Appl. Sci. 38, No. 8, 1494--1505 (2015; Zbl 1326.35194) 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
Hu, Yanbo; Wang, Guodong The interaction of rarefaction waves of a two-dimensional nonlinear wave system. (English) Zbl 1326.35195 Nonlinear Anal., Real World Appl. 22, 1-15 (2015). MSC: 35L60 35L45 76N15 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{G. Wang}, Nonlinear Anal., Real World Appl. 22, 1--15 (2015; Zbl 1326.35195) 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
Zafar, M.; Sharma, V. D. Characteristic decomposition of compressible Euler equations for a non-ideal gas in two-dimensions. (English) Zbl 1366.35148 J. Math. Phys. 55, No. 9, 093103, 12 p. (2014); additional note ibid. 55, No. 10, 109902, 1 p. (2014). MSC: 35Q35 35A30 35L65 35Q31 76N10 PDF BibTeX XML Cite \textit{M. Zafar} and \textit{V. D. Sharma}, J. Math. Phys. 55, No. 9, 093103, 12 p. (2014; Zbl 1366.35148) Full Text: DOI OpenURL
Hu, Yanbo; Wang, Guodong Semi-hyperbolic patches of solutions to the two-dimensional nonlinear wave system for Chaplygin gases. (English) Zbl 1297.35135 J. Differ. Equations 257, No. 5, 1567-1590 (2014). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35J70 35R35 35L03 35Q31 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{G. Wang}, J. Differ. Equations 257, No. 5, 1567--1590 (2014; Zbl 1297.35135) 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
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
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
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
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 PDF BibTeX XML Cite \textit{J. Li} et al., J. Differ. Equations 250, No. 2, 782--798 (2011; Zbl 1209.35079) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Y. Zheng}, Chin. Ann. Math., Ser. B 30, No. 6, 845--858 (2009; Zbl 1180.35356) Full Text: DOI Link OpenURL