Huang, Shou-Jun; Dai, Hui-Hui; Kong, De-Xing Global structure stability for the wave catching-up phenomenon in a prestressed two-material bar. (English) Zbl 1316.35175 SIAM J. Appl. Math. 75, No. 2, 585-604 (2015). MSC: 35L50 35L65 74J30 74M20 74K10 35B35 PDFBibTeX XMLCite \textit{S.-J. Huang} et al., SIAM J. Appl. Math. 75, No. 2, 585--604 (2015; Zbl 1316.35175) Full Text: DOI
Kong, De-Xing; Wei, Chang-Hua The global existence and the life span of smooth solutions to a class of complex conservation laws. (English) Zbl 1284.35267 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 553-567 (2014). MSC: 35L60 35L65 35B44 35L45 PDFBibTeX XMLCite \textit{D.-X. Kong} and \textit{C.-H. Wei}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 553--567 (2014; Zbl 1284.35267) Full Text: DOI
Kong, De-Xing; Liu, Kefeng Hyperbolic gradient flow: evolution of graphs in \(\mathbb R^{n+1}\). (English) Zbl 1320.53080 Dong, Yuxin (ed.) et al., Recent developments in geometry and analysis. Special volume dedicated to Zhengguo Bai on the occasion of his 95th birthday and to Yibing Shen on the occasion of his 70th birthday. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-250-3/pbk). Advanced Lectures in Mathematics (ALM) 23, 165-178 (2012). MSC: 53C44 53C21 35L45 35L60 58J45 PDFBibTeX XMLCite \textit{D.-X. Kong} and \textit{K. Liu}, Adv. Lect. Math. (ALM) 23, 165--178 (2012; Zbl 1320.53080) Full Text: arXiv
Kong, De-Xing; Wang, Zeng-Gui Formation of singularities in the motion of plane curves under hyperbolic mean curvature flow. (English) Zbl 1195.53093 J. Differ. Equations 247, No. 6, 1694-1719 (2009). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 53C44 53A04 35L45 35L70 PDFBibTeX XMLCite \textit{D.-X. Kong} and \textit{Z.-G. Wang}, J. Differ. Equations 247, No. 6, 1694--1719 (2009; Zbl 1195.53093) Full Text: DOI
Shao, Zhi-Qiang; Li, Ya-Chun; Kong, De-Xing Global weakly discontinuous solutions to quasilinear hyperbolic systems of conservation laws with damping with a kind of non-smooth initial data. (English) Zbl 1200.35184 Z. Angew. Math. Phys. 59, No. 6, 935-968 (2008). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L60 35L65 35L45 35L67 PDFBibTeX XMLCite \textit{Z.-Q. Shao} et al., Z. Angew. Math. Phys. 59, No. 6, 935--968 (2008; Zbl 1200.35184) Full Text: DOI
Dai, Wen-Rong; Kong, De-Xing Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields. (English) Zbl 1129.35047 J. Differ. Equations 235, No. 1, 127-165 (2007). Reviewer: Grzegorz Karch (Wrocław) MSC: 35L60 35B40 35L45 PDFBibTeX XMLCite \textit{W.-R. Dai} and \textit{D.-X. Kong}, J. Differ. Equations 235, No. 1, 127--165 (2007; Zbl 1129.35047) Full Text: DOI
Shao, Zhi-Qiang; Kong, De-Xing; Li, Ya-Chun Shock reflection for general quasilinear hyperbolic systems of conservation laws. (English) Zbl 1109.35072 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 1, 93-124 (2007); corrigendum ibid. 69, No. 7, 2330-2331 (2008). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35L50 35L67 PDFBibTeX XMLCite \textit{Z.-Q. Shao} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 1, 93--124 (2007; Zbl 1109.35072) Full Text: DOI
Li, Ta-Tsien; Shao, Zhi-Qiang; Kong, De-Xing Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous quasilinear hyperbolic system. (English) Zbl 1109.35067 J. Math. Anal. Appl. 325, No. 1, 205-225 (2007); publisher’s note ibid. 444, No. 1, 825 (2016). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L60 35L65 35L45 PDFBibTeX XMLCite \textit{T.-T. Li} et al., J. Math. Anal. Appl. 325, No. 1, 205--225 (2007; Zbl 1109.35067) Full Text: DOI
Shao, Zhi-Qiang; Kong, De-Xing; Li, Ya-Chun Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance laws. (English) Zbl 1094.35079 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 11, 2575-2603 (2006). Reviewer: Chen Shuxing (Shanghai) MSC: 35L65 35L45 35L67 35L60 PDFBibTeX XMLCite \textit{Z.-Q. Shao} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 11, 2575--2603 (2006; Zbl 1094.35079) Full Text: DOI
Kong, Dexing; Yang, Tong Asymptotic behavior of global classical solutions of quasilinear hyperbolic systems. (English) Zbl 1024.35068 Commun. Partial Differ. Equations 28, No. 5-6, 1203-1220 (2003). MSC: 35L60 35L40 35L45 35B40 PDFBibTeX XMLCite \textit{D. Kong} and \textit{T. Yang}, Commun. Partial Differ. Equations 28, No. 5--6, 1203--1220 (2003; Zbl 1024.35068) Full Text: DOI
Kong, Dexing Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data. (English) Zbl 0961.35085 Chin. Ann. Math., Ser. B 21, No. 4, 413-440 (2000). Reviewer: Marie Kopáčková (Praha) MSC: 35L60 35B45 35L45 35L67 35L80 PDFBibTeX XMLCite \textit{D. Kong}, Chin. Ann. Math., Ser. B 21, No. 4, 413--440 (2000; Zbl 0961.35085) Full Text: DOI
Kong, De Xing Cauchy problem for quasilinear hyperbolic systems. (English) Zbl 0959.35003 MSJ Memoirs. 6. Tokyo: Mathematical Society of Japan. vii, 213 p. (2000). Reviewer: A.Jeffrey (Newcastle upon Tyne) MSC: 35-02 35L45 35L67 35L60 PDFBibTeX XMLCite \textit{D. X. Kong}, Cauchy problem for quasilinear hyperbolic systems. Tokyo: Mathematical Society of Japan (2000; Zbl 0959.35003) Full Text: DOI Link
Li, Tatsien; Kong, De-xing Breakdown of classical solutions to quasilinear hyperbolic systems. (English) Zbl 0953.35090 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1-8, 407-437 (2000). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L45 35B60 35L60 PDFBibTeX XMLCite \textit{T. Li} and \textit{D.-x. Kong}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1--8, 407--437 (2000; Zbl 0953.35090) Full Text: DOI
Li, Ta-Tsien; Kong, Dexing Global classical solutions with small amplitude for general quasilinear hyperbolic systems. (English) Zbl 0963.35116 Rassias, Themistocles M. (ed.), New approaches in nonlinear analysis. Palm Harbor, FL: Hadronic Press. 203-237 (1999). Reviewer: Weike Wang (Wuhan) MSC: 35L60 35L45 35A05 PDFBibTeX XMLCite \textit{T.-T. Li} and \textit{D. Kong}, in: New approaches in nonlinear analysis. Palm Harbor, FL: Hadronic Press. 203--237 (1999; Zbl 0963.35116)
Kong, De-xing A necessary and sufficient condition for the diagonalization of multi-dimensional quasilinear systems. (English) Zbl 0931.35030 Electron. J. Differ. Equ. 1999, Paper No. 25, 14 p. (1999). Reviewer: Weike Wang (Wuhan) MSC: 35F20 35L65 35L40 PDFBibTeX XMLCite \textit{D.-x. Kong}, Electron. J. Differ. Equ. 1999, Paper No. 25, 14 p. (1999; Zbl 0931.35030) Full Text: EuDML EMIS
Li, Tatsien; Kong, Dexing Global classical discontinuous solutions to a class of generalized Riemann problem for general quasilinear hyperbolic systems of conservation laws. (English) Zbl 0926.35083 Commun. Partial Differ. Equations 24, No. 5-6, 801-820 (1999). Reviewer: Serguei B.Medvedev (Novosibirsk) MSC: 35L65 35L45 PDFBibTeX XMLCite \textit{T. Li} and \textit{D. Kong}, Commun. Partial Differ. Equations 24, No. 5--6, 801--820 (1999; Zbl 0926.35083)
Kong, De-Xing Maximum principle in nonlinear hyperbolic systems and its applications. (English) Zbl 0962.35031 Nonlinear Anal., Theory Methods Appl. 32, No. 7, 871-880 (1998). Reviewer: Kamil Sabitov (Sterlitamak) MSC: 35B50 35L45 35L60 PDFBibTeX XMLCite \textit{D.-X. Kong}, Nonlinear Anal., Theory Methods Appl. 32, No. 7, 871--880 (1998; Zbl 0962.35031) Full Text: DOI
Zhang, Weiguo; Kong, Dexing Global classical solutions and explicit exact solutions to a kind of quasilinear partial differential equations. (English) Zbl 0904.35047 Syst. Sci. Math. Sci. 11, No. 1, 89-96 (1998). Reviewer: Jijiang Zhang MSC: 35L45 35C05 35L60 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{D. Kong}, Syst. Sci. Math. Sci. 11, No. 1, 89--96 (1998; Zbl 0904.35047)
Li, Ta-Tsien; Zhou, Yi; Kong, Dexing Global classical solutions for general quasilinear hyperbolic systems with decay initial data. (English) Zbl 0874.35068 Nonlinear Anal., Theory Methods Appl. 28, No. 8, 1299-1332 (1997). Reviewer: Wang Jinghua (Beijing) MSC: 35L60 35B40 35L45 PDFBibTeX XMLCite \textit{T.-T. Li} et al., Nonlinear Anal., Theory Methods Appl. 28, No. 8, 1299--1332 (1997; Zbl 0874.35068) Full Text: DOI
Li, Tatsien; Kong, Dexing Initial value problem for general quasilinear hyperbolic systems with characteristics with constant multiplicity. (English) Zbl 0891.35082 J. Partial Differ. Equations 10, No. 4, 299-322 (1997). MSC: 35L45 35L67 35L60 PDFBibTeX XMLCite \textit{T. Li} and \textit{D. Kong}, J. Partial Differ. Equations 10, No. 4, 299--322 (1997; Zbl 0891.35082)
Kong, Dexing Cauchy problem for quasilinear hyperbolic systems with higher order dissipative terms. (English) Zbl 0934.35099 NoDEA, Nonlinear Differ. Equ. Appl. 4, No. 4, 477-489 (1997). Reviewer: P.Brenner (Göteborg) MSC: 35L70 35L55 35L15 PDFBibTeX XMLCite \textit{D. Kong}, NoDEA, Nonlinear Differ. Equ. Appl. 4, No. 4, 477--489 (1997; Zbl 0934.35099) Full Text: DOI
Li, Tatsien; Zhou, Yi; Kong, Dexing Weak linear degeneracy and global existence of classical solutions for quasilineaer hyperbolic systems. (English) Zbl 0885.35068 Ding, Xiaxi (ed.) et al., Nonlinear evolutionary partial differential equations. Proceedings of the international conference, Beijing, China, June 21–25, 1993. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 3, 283-291 (1997). Reviewer: Wang Jinghua (Beijing) MSC: 35L60 35B40 35L45 PDFBibTeX XMLCite \textit{T. Li} et al., AMS/IP Stud. Adv. Math. 3, 283--291 (1997; Zbl 0885.35068)
Kong, Dexing Life-span of classical solutions of nonlinear hyperbolic systems. (English) Zbl 0862.35067 J. Partial Differ. Equations 9, No. 3, 221-236 (1996). MSC: 35L60 35B40 35L45 76N15 PDFBibTeX XMLCite \textit{D. Kong}, J. Partial Differ. Equations 9, No. 3, 221--236 (1996; Zbl 0862.35067)
Li, Tatsien; Kong, Dexing Blow up of periodic solutions to quasilinear hyperbolic systems. (English) Zbl 0858.35016 Nonlinear Anal., Theory Methods Appl. 26, No. 11, 1779-1789 (1996). Reviewer: I.Ginchev (Varna) MSC: 35B40 35L60 35L45 PDFBibTeX XMLCite \textit{T. Li} and \textit{D. Kong}, Nonlinear Anal., Theory Methods Appl. 26, No. 11, 1779--1789 (1996; Zbl 0858.35016) Full Text: DOI
Kong, Dexing Diagonalization of higher dimensional quasilinear hyperbolic systems. (Chinese. English summary) Zbl 0857.35079 Acta Math. Appl. Sin. 18, No. 3, 329-339 (1995). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 35L40 35L60 PDFBibTeX XMLCite \textit{D. Kong}, Acta Math. Appl. Sin. 18, No. 3, 329--339 (1995; Zbl 0857.35079)
Kong, Dexing Diagonalization of higher dimensional quasilinear hyperbolic systems. (Chinese. English summary) Zbl 0835.35086 J. Fudan Univ., Nat. Sci. 34, No. 2, 132-138 (1995). MSC: 35L60 35L65 35L40 PDFBibTeX XMLCite \textit{D. Kong}, J. Fudan Univ., Nat. Sci. 34, No. 2, 132--138 (1995; Zbl 0835.35086)
Li, Tatsien; Zhou, Yi; Kong, Dexing Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems. (English) Zbl 0810.35054 Commun. Partial Differ. Equations 19, No. 7-8, 1263-1317 (1994). MSC: 35L60 35A05 35B40 35L45 PDFBibTeX XMLCite \textit{T. Li} et al., Commun. Partial Differ. Equations 19, No. 7--8, 1263--1317 (1994; Zbl 0810.35054) Full Text: DOI
Kong, Dexing Cauchy problem for first order quasilinear hyperbolic systems. (Chinese. English summary) Zbl 0938.35573 J. Fudan Univ., Nat. Sci. 33, No. 6, 705-708 (1994). MSC: 35L60 35B40 35L45 PDFBibTeX XMLCite \textit{D. Kong}, J. Fudan Univ., Nat. Sci. 33, No. 6, 705--708 (1994; Zbl 0938.35573)
Kong, Dexing Life-span of classical solutions of quasilinear hyperbolic systems in high dimensions and its applications. (Chinese. English summary) Zbl 0804.35081 J. Fudan Univ., Nat. Sci. 31, No. 4, 403-412 (1992). MSC: 35L70 35B40 PDFBibTeX XMLCite \textit{D. Kong}, J. Fudan Univ., Nat. Sci. 31, No. 4, 403--412 (1992; Zbl 0804.35081)