人物經歷
1981年6月畢業於浙江師範學院金華分校(現浙江師範大學)數學專業, 1991年7月畢業於上海復旦大學數學研究所, 獲碩士學位。1991年8月至今在福州大學從事教學和科學研究工作。
主講課程
數學分析、高等數學、套用偏微分方程、數學物理方法;研究方向:非線性偏微分方程理論與套用。
主要貢獻
著作成就
科研上主要從事非線性偏微分方程理論與套用的研究,已經分別在《Journal of Differential Equations》、《Nonlinear Analysis: Real World Applications》、《Nonlinear Analysis:Theory, Methods & Applications》、《Z. Angew. Math. Phys.》、《Math. Models Methods Appl. Sci.》、《Mathematical Methods in the Applied Sciences》、《J. Math. Anal. Appl.》、《[英國] IMA J. Appl. Math.》、《Journal of Mathematical Physics》,《Communications on Pure and Applied Analysis》、《Journal of Elasticity》、《[德國]Math. Nachr. 》、《Acta Mathematica Scientia》、 《Journal of Applied Analysis and Computation》、中國科學院《數學物理學報》等國際權威刊物和國核心心刊物上發表學術論文60餘篇,其中SCI收錄42篇, EI收錄20篇。
主要論著
(1)Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow, Nonlinear Analysis: Real World Applications 52, 103039 (2020). (SCI二區,EI)
(2) The vanishing adiabatic exponent limits of Riemann solutions to the isentropic Euler equations for power law with a Coulomb-like friction term, Journal of Mathematical Physics 60, 101504 (2019). (SCI 4區)
(3) The Riemann problem for the relativistic full Euler system with generalized Chaplygin proper energy density-pressure relation, Z. Angew. Math. Phys. (2018) 69: 44. (SCI二區、EI)
(4) Lifespan of classical discontinuous solutions to the generalized nonlinear initial-boundary Riemann problem for hyperbolic conservation lawswith small BV data: Rarefaction waves, Nonlinear Analysis: Real World Applications 44 (2018) 497-536. (SCI二區、EI)
(5)The Riemann problem with delta initial data for the nonsymmetric Keyfitz-Kranzer system with Chaplygin pressure, Journal ofApplied Analysis and Computation 7(2017) 680-701. (SCI 3區)
(6) Interactions of delta shock waves for the Aw-Rascle traffic model with split delta functions, Journal of Applied Analysis and Computation7(2017) 119-133. (SCI 3區)
(7) The Riemann problem with delta initial data for the isentropic relativistic Chaplygin Euler equatios, Z. Angew. Math. Phys. (2016) 67: 66. (SCI二區、EI)
(8) Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for generalized Chaplygin gas, Communication on Pure and Applied Analysis 15 (2016) 2373-2400. (SCI 3區)
(9) Riemann problem for the relativistic generalized Chaplygin Euler equations, Communcation on Pure and Applied Analysis 15 (2016)127-138. (SCI 3區)
(10) Riemann problem with delta initial data for the relativistic Chaplygin Euler equations, Journal of Applied Analysis and Computation6 (2016) 376-395. (SCI 4區)
(11) Lifespan of classical discontinuous solutions to the generalized nonlinear initial-boundary Riemann problem for hyperbolic conservation lawswith small BV data: shocks and contact discontinuities, Communcation on Pure and Applied Analysis 14 (2015) 759-792. (SCI 3區)
(12) Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data:Rarefaction waves, J. Math. Anal. Appl. 409 (2014) 1066-1083. (SCI二區)
(13) Asymptotic behavior of global classical solutios Goursat problem for quaslinear hyperbolic systems with small BV data,Z. Angew. Math. Phys. 65 (2014) 241-278. (SCI二區、EI)
(14) Global existence of classical solutions of Goursat problem for quasilinear hyperbolic systems with BV data, Mathematical Methods in the Applied Sciences 37 (2014) 1700-1716. (SCI 3區、EI)
(15) Almost global existence of classical discontinuous solutions to genuinely nonlinear hyperbolic systems of conservation laws with small BV
initial data, Journal of Differential Equations 254 (2013) 2803-2833. (SCI一區)
(16) Global existence of classical solutions of Goursat problem for quasilinear hyperbolic systems of diagonnal form with large BV data,
Communication on Pure and Applied Analysis 12 (2013) 2739-2752. (SCI 3區)
(17) Asymptotic behavior of global classical solutions to the mixed initial-boundary value problem for diagonalizable quasilinear hyperbolic systems, IMA Journal of Applied Mathematics 78 (2013) 1-31. (SCI二區、EI)
(18) Global structure instability of Riemann solutions for general quasilinear hyperbolic systems of conservation laws under small BV
perturbations of the initial data: shocks and contact discontinuities, IMA Journal of Applied Mathematics 78 (2013) 1318-1355. (SCI二區、EI)
(19) Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small
BV initial data; shock and contact discontinuities, J. Math. Anal. Appl. 387 (2012) 698-720. (SCI二區)
(20) The generalized nonlinear initial-boundaey Riemann problem for linearly degenerate quasilinear hyperbolic systems of
conservation laws, J. Math. Anal. Appl. 379 (2011) 589-615. (SCI二區)
(21) A note on the asymptotic behavior of global classical solutions of diagonalizable quasilinear hyperbolic systems, Nonlinear Analysis: Theory, Methods & Applications 73 (2010) 600-613. (SCI二區、 EI)
(22) Global structure stability of Riemann solutions for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data, Nonlinear Analysis: Real World Applications 11 (2010) 3791-3808, doi:10.1016/j.nonrwa.2010.02.009. (SCI一區、 EI)
(23) Asymptotic behavior of global classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems with small BV Data, Journal of Elasticity 98 (2010) 25-64. (SCI 3區、 EI)
(24) Global weakly discontinuous solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems, Mathematical Models and Methods in Applied Sciences 19 (2009) 1099-1138. (SCI一區、 EI)
(25) The mixed initial-boundary value problem for quasilinear hyperbolic systems with linearly degenerate characteristics, Nonlinear Analysis: Theory, Methods & Applications 71 (2009) 1350-1368. (SCI二區、 EI)
(26) Global existence of classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems of diagonal form with large BV data, Journal of Mathematical Analysis and Applications 360 (2009) 398-411. (SCI二區)
(27) Global weakly discontinuous solutions to quasilinear hyperbolic systems of conservation laws with damping with a kind of non-smoothinitial data, Z. Angew. Math. Phys. 59 (2008) 935-968. (SCI二區、EI)
(28) Global structure stability of Riemann solutions for general hyperbolic systems of conservation laws in the presence of a boundary, Nonlinear Analysis: Theory, Methods & Applications 69 (2008) 2651-2676. (SCI二區、 EI)
(29) Blow-up of solutions to the initial–boundary value problem for quasilinear hyperbolic systems of conservation laws, Nonlinear Analysis: Theory, Methods & Applications 68 (2008) 716-740. ( SCI二區、 EI)
(30)Global weakly discontinuous solutions for hyperbolic conservation laws in the presence of a boundary, Journal of Mathematical Analysis and Applications 345 (2008) 223-242. (SCI二區)
(31) Shock reflection for a system of hyperbolic balance laws, Journal of Mathematical Analysis and Applications 343 (2008) 1131-1153. (SCI二區)
(32) Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance laws II, Mathematische Nachrichten 281(2008) 879–902. (SCI 3區)
(33) Corrigendum to "Shock reflection for general quasilinear hyperbolic systems of conservation laws" [ Nonlinear Anal. 66 (2007)93-124 ], Nonlinear Analysis: Theory, Methods & Applications 69 (2008) 2330-2331. (SCI二區、EI)
(34) Shock reflection for general quasilinear hyperbolic systems of conservation laws, Nonlinear Analysis: Theory, Methods & Applications66 (2007) 93-124. (SCI二區、 EI)
(35) Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous quasilinear
hyperbolic system, Journal of Mathematical Analysis and Applications 325 (2007) 205-225. (SCI二區)
(36) Global solutions with shock waves to the generalized Riemann problem for a system of hyperbolic conservation laws with linear
damping, Journal of Mathematical Analysis and Applications 325 (2007) 843-865. (SCI二區)
(37) Global structure instability of Riemann solutions for general quasilinear hyperbolic systems of conservation laws in the presence of a boundary, Journal of Mathematical Analysis and Applications 330 (2007) 511-540. (SCI二區).
(38) Global solution to the generalized Riemann problem in the presence of a boundary and contact discontinuities, Journal of Elasticity 87 (2007) 277-310.(SCI 3區、 EI)
(39) The eigenvalue problem for the Laplacian equations, Acta Mathematica Scientia 27B (2007) 329-337. (SCI 4區)
(40) Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balancelaws, Nonlinear Analysis: Theory, Methods & Applications 64 (2006) 2575-2603. (SCI二區、EI)
(41) The mixed problem for a class of nonlinear symmetric hyperbolic systems with discontinuous data, Acta Mathematica Scientia25B (2005) 610-620. (SCI 4區)
科研項目
(1)2009-2011, 半導體器件電子流動的數學分析與非線性偏微分方程, 福建省自然科學基金(主持)。
(2)2007-2009, 半導體器件電子流動的數學分析, 福建省教育廳科技項目(主持)。
(3)2004-2007, 非線性偏微分方程奇性解的存在性等若干問題的研究, 福州大學科技發展基金(主持)。
(4)2000-2002, 套用偏微分方程, 福建省教育廳科技項目(主持)。