Shao, Zhi-Qiang Lifespan of classical discontinuous solutions to the generalized nonlinear initial-boundary Riemann problem for hyperbolic conservation laws with small BV data: shocks and contact discontinuities. (English) Zbl 1312.35130 Commun. Pure Appl. Anal. 14, No. 3, 759-792 (2015). MSC: 35L65 35L67 35L50 90B20 PDFBibTeX XMLCite \textit{Z.-Q. Shao}, Commun. Pure Appl. Anal. 14, No. 3, 759--792 (2015; Zbl 1312.35130) Full Text: DOI
Shao, Zhi-Qiang Global existence of classical solutions of Goursat problem for quasilinear hyperbolic systems of diagonal form with large BV data. (English) Zbl 1270.35303 Commun. Pure Appl. Anal. 12, No. 6, 2739-2752 (2013). MSC: 35L60 35L45 35Q40 PDFBibTeX XMLCite \textit{Z.-Q. Shao}, Commun. Pure Appl. Anal. 12, No. 6, 2739--2752 (2013; Zbl 1270.35303) Full Text: DOI
Shao, Zhi-Qiang Global classical discontinuous solutions to the generalized Riemann problem for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data. (English) Zbl 1291.35132 Li, Tatsien (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Vol. 2. Proceedings of the 13th international conference on hyperbolic problems, HYP 2010, Beijing, China, June 15–19, 2010. Hackensack, NJ: World Scientific; Beijing: Higher Education Press (ISBN 978-981-4417-08-2/v.2; 978-981-4417-06-8/set). Series in Contemporary Applied Mathematics CAM 18, 659-666 (2012). MSC: 35L67 35L65 35L45 35L60 35C06 PDFBibTeX XMLCite \textit{Z.-Q. Shao}, Ser. Contemp. Appl. Math. CAM 18, 659--666 (2012; Zbl 1291.35132)
Shao, Zhi-Qiang Global existence of classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems of diagonal form with large BV data. (English) Zbl 1194.35248 J. Math. Anal. Appl. 360, No. 2, 398-411 (2009). MSC: 35L50 35L60 PDFBibTeX XMLCite \textit{Z.-Q. Shao}, J. Math. Anal. Appl. 360, No. 2, 398--411 (2009; Zbl 1194.35248) Full Text: DOI
Shao, Zhi-Qiang Global weakly discontinuous solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems. (English) Zbl 1180.35344 Math. Models Methods Appl. Sci. 19, No. 7, 1099-1138 (2009). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 35L60 35L45 35L50 PDFBibTeX XMLCite \textit{Z.-Q. Shao}, Math. Models Methods Appl. Sci. 19, No. 7, 1099--1138 (2009; Zbl 1180.35344) Full Text: DOI
Shao, Zhi-Qiang The mixed initial-boundary value problem for quasilinear hyperbolic systems with linearly degenerate characteristics. (English) Zbl 1195.35204 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, 1350-1368 (2009). MSC: 35L50 35Q70 35L60 PDFBibTeX XMLCite \textit{Z.-Q. Shao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3--4, 1350--1368 (2009; Zbl 1195.35204) Full Text: DOI
Shao, Zhi-Qiang Global structure stability of Riemann solutions for general hyperbolic systems of conservation laws in the presence of a boundary. (English) Zbl 1157.35428 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 8, 2651-2676 (2008). MSC: 35L65 35L50 35L67 35B20 PDFBibTeX XMLCite \textit{Z.-Q. Shao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 8, 2651--2676 (2008; Zbl 1157.35428) Full Text: DOI
Shao, Zhi-Qiang Global weakly discontinuous solutions for hyperbolic conservation laws in the presence of a boundary. (English) Zbl 1146.35058 J. Math. Anal. Appl. 345, No. 1, 223-242 (2008). MSC: 35L60 35L65 35L50 PDFBibTeX XMLCite \textit{Z.-Q. Shao}, J. Math. Anal. Appl. 345, No. 1, 223--242 (2008; Zbl 1146.35058) Full Text: DOI
Shao, Zhi-Qiang Shock reflection for a system of hyperbolic balance laws. (English) Zbl 1160.35050 J. Math. Anal. Appl. 343, No. 2, 1131-1153 (2008). MSC: 35L67 35L65 35L50 PDFBibTeX XMLCite \textit{Z.-Q. Shao}, J. Math. Anal. Appl. 343, No. 2, 1131--1153 (2008; Zbl 1160.35050) Full Text: DOI
Shao, Zhi-Qiang Global solution to the generalized Riemann problem in the presence of a boundary and contact discontinuities. (English) Zbl 1128.35367 J. Elasticity 87, No. 2-3, 277-310 (2007). Reviewer: V. D. Sharma (Mumbai) MSC: 35L65 35L45 35L50 PDFBibTeX XMLCite \textit{Z.-Q. Shao}, J. Elasticity 87, No. 2--3, 277--310 (2007; Zbl 1128.35367) Full Text: DOI