Yunguang Lu

Contact Information

Address: University of Würzburg, Institute of Mathematics, Emil-Fischer-Straße 40, 97074 Würzburg, Germany

Email: ylu2005(at)ustc.edu.cn and luyunguang68(at)gmail.com

CV

Click here for the pdf version.

Publications

Books

Book (1): “Hyperboilc Conservation Laws and the Compensated Compactness  Method” was published by Chapman & Hall/CRC Press in USA in September, 2003.

Book (2): The applications of the compensated compactness theory on hyperbolic conseravtion laws, Y. Lu, Z. Chen, Science Press in China, 2011.

Selected Articles

[01]. X. Jia, C. Klingenberg, Y. Lu and Q. Sun, Existence of entropy solutions to system of polytropic gas with a class of unbounded sources,  J. Nonlinear Var. Anal. 7 (2023), No. 3, 437-448.

[02]. Y. Lu, J. Chen, W. Jiang, C. Klingenberg and G. You, The Global Existence of $L^{\infty}$ Solutions to Isentropic Euler Equations in General Nozzle, Math. Nachr.,(2023),1-14.

[03]. Yanbo Hu, C. Klingenberg and Y. Lu, Zero Relaxation Time Limits to A Hydrodynamic Model of Two Carrier Types for Semiconductors, Mathematische Annalen,  382(2022), 1031-1046.

[04] Y. Lu, Existence of Global Solutions for Isentropic Gas Flow with Friction, Nonlinearity, 33(2020), 3940-3969.

[05].  Y. Lu, Global weak solutions for the chromatography system, Israel Journal of Mathematics, 225(2018), No. 2, 721-741.

[06]. Y. Lu, Existence of Global Weak Entropy Solutions to Some Nonstrictly Hyperbolic Systems, SIAM. Journal on Math. Anal., Vol. 45(2013), No. 6, pp. 3592–3610.

[07]. Y. Lu, Existence of global entropy solutions to general system of Keyfitz-Kranzer type, J. Funcl. Anal.. 264 (2013),  2457-2468 .

[08]. Y. Lu, Existence of Global Bounded Weak Solutionsto a Non-Symmetric System of Keyfitz-Kranzer type, J. Funct. Anal., 261(2011), 2797-2815. 

[09]. Y. Lu, Yuejun Peng and C. Klingenberg, Existence of Global Solutions to Isentropic Gas Dynamics Equations with a Source Term, Science China, 53（2010），1：115-124. 

[10]. Y. Lu, Some Results on General Ssystem of Isentropic Gas Dynamics，Differential Equations, 43(2007), No. 1, 130-138.

[11]. Y. Lu, Existence of Global Entropy Solutions to a Nonstrictly   Hyperbolic System, Arch. Rat. Mech. Anal., 178（2005）,287-299.

[12]. Y. Lu, Singular Limits of Stiff Relaxation and Dominant Diffusion for Nonlinear Systems, J.  Diff. Equs. 179(2002), No. 2, 687-713.

[13]. W. Jaeger and Y. Lu,  On Solutions to Nonlinear Reaction-Diffusion-Convection Equations with Degenerate Diffusion, J. Diff. Equas., 170(2001), No. 1, 1-21.

[14]. Y. Lu, Holder Estimates of Solutions of Some Doubly Nonlinear Degenerate Parabolic Equations, Communcation in P.D.E., 24(1999), 5&6, 895-914.            

[15]. C. Klingenberg and Y. Lu, Existence of solutions to hyperbolic conservation laws with a source, Commun. Math. Phys., 187(1997),327-340.

[16]. W Jaeger and Y. Lu, Global regularity of solutions for general degenerate parabolic equations in 1-D,  J. Diff.  Equs., 140(1997), 365-377. 

[17]. Y. Lu, Convergence of the viscosity method for a nonstrictly hyperbolic conservation laws, Comm. in  Math. Phys., 150(1992), 59-64

[18]. C. Klingenberg and Y. Lu,  Existence of solutions to resonant systems of conservation laws, Collection: Hyperbolic problems: theory, numerics, applications (Stony Brook, NY,1994),383--389 World Sci. Publishing, River Edge, NJ, 1996.

[19]. C. Klingenberg and Y. Lu,  Cauchy problem for hyperbolic conservation laws with  relaxation terms, Matematica Contemporanea, Vol.11, 1996(51-60).