• 邵志强

  • 职称:

    教授

  • 职务:

  • 主讲课程:

    数学分析、高等数学、应用偏微分方程、数学物理方程、数学物理方法

  • 研究方向:

    非线性偏微分方程理论与应用

  • 办公室:

  • 电子邮件:

    zqshao_fzu@yahoo.com.cn

个人简介

邵志强, 男, 1963年11月生, 研究生学历, 硕士学位, 教授, 硕士生导师。1981年6月毕业于浙江师范学院金华分校(现浙江师范大学)数学专业, 1991年7月毕业于上海复旦大学数学研究所, 获硕士学位。1991年7月至今在福州大学从事教学和科学研究工作, 科研上主要从事非线性偏微分方程理论与应用的研究,已经分别在《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.》、《[英国] IMA J. Appl. Math.》、《Journal of Mathematical Physics》、《Communications on Pure and Applied Analysis》、《Journal of Elasticity》、《[德国]Math. Nachr. 》、《Acta Mathematica Scientia》、 《Journal of Applied Analysis and Computation》、《Journal of Engineering Mathematics》、中国科学院《数学物理学报》等国际权威刊物和国内核心刊物上发表学术论文60余篇,其中SCI收录42篇, EI收录21篇。

主要论著:

(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二区、EI)

(2)The limits of Riemann solutions to Eluer equations of compressible fluid flow with a source term, Journal of Engineering Mathematics 125 (2020) 1-22. (SCI4区、 EI)

(3) 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区)

(4) 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二区、EI)

(5)Lifespan of classical discontinuous solutions to the generalized nonlinear initial-boundary Riemann problem for hyperbolic conservation laws

with small BV data: Rarefaction waves, Nonlinear Analysis: Real World Applications 44 (2018) 497-536. (SCI二区、EI)

(6)The Riemann problem with delta initial data for the nonsymmetric Keyfitz-Kranzer system with Chaplygin pressure, Journal of

Applied Analysis and Computation 7(2017) 680-701. (SCI 3区)

(7) Interactions of delta shock waves for the Aw-Rascle traffic model with split delta functions, Journal of Applied Analysis and Computation

7(2017) 119-133. (SCI 3区)

(8) The Riemann problem with delta initial data for the isentropic relativistic Chaplygin Euler equatios, Z. Angew. Math. Phys. (2016) 67: 66. (SCI二区、EI)

(9) 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区)

(10) Riemann problem for the relativistic generalized Chaplygin Euler equations, Communcation on Pure and Applied Analysis 15 (2016)

127-138. (SCI 3区)

(11) Riemann problem with delta initial data for the relativistic Chaplygin Euler equations, Journal of Applied Analysis and Computation

6 (2016) 376-395. (SCI 4区)

(12) 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, Communcation on Pure and Applied Analysis 14 (2015) 759-792. (SCI 3区)

(13) 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二区)

(14) 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二区、EI)

(15) 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区、EI)

(16) 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一区)

(17) 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区)

(18) 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二区、EI)

(19) 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二区、EI)

(20) 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二区)

(21) 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二区)

(22) 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二区、 EI)

(23) 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一区、 EI)

(24) 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区、 EI)

(25) Global weakly discontinuous solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems,Mathematical Models and Methods in Applied Sciences19 (2009) 1099-1138. (SCI一区、 EI)

(26) The mixed initial-boundary value problem for quasilinear hyperbolic systems with linearly degenerate characteristics, Nonlinear Analysis: Theory, Methods & Applications 71 (2009) 1350-1368. (SCI二区、 EI)

(27) 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二区)

(28) Global weakly discontinuous solutions to quasilinear hyperbolic systems of conservation laws with damping with a kind of non-smooth

initial data, Z. Angew. Math. Phys. 59 (2008) 935-968. (SCI二区、EI)

(29) 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二区、 EI)

(30) 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二区、 EI)

(31) 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二区)

(32) Shock reflection for a system of hyperbolic balance laws, Journal of Mathematical Analysis and Applications 343 (2008) 1131-1153. (SCI二区)

(33) 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区)

(34) 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二区、EI)

(35) Shock reflection for general quasilinear hyperbolic systems of conservation laws, Nonlinear Analysis: Theory, Methods & Applications

66 (2007) 93-124. (SCI二区、 EI)

(36) 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二区)

(37) 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二区)

(38) 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二区).

(39) 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区、 EI)

(40) The eigenvalue problem for the Laplacian equations, Acta Mathematica Scientia 27B (2007) 329-337. (SCI 4区)

(41) Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance

llaws, Nonlinear Analysis: Theory, Methods & Applications 64 (2006) 2575-2603. (SCI二区、EI)

(42) The mixed problem for a class of nonlinear symmetric hyperbolic systems with discontinuous data, Acta Mathematica Scientia

25B (2005) 610-620. (SCI 4区)

科研项目:

(1)2009-2011, 半导体器件电子流动的数学分析与非线性偏微分方程, 福建省自然科学基金(主持).

(2)2007-2009, 半导体器件电子流动的数学分析, 福建省教育厅科技项目(主持).

(3)2004-2007, 非线性偏微分方程奇性解的存在性等若干问题的研究, 福州大学科技发展基金(主持).

(4)2000-2002, 应用偏微分方程, 福建省教育厅科技项目(主持).