•  教授

朱长江

发布时间:2017-12-27文章来源:华南理工大学数学学院浏览次数:14308

朱长江

    名:

  

    位:

教授、博士、院长

研究兴趣:

非线性偏微分方程及其应用

通信地址:

华南理工大学数学学院,广州 510641

E–mail

machjzhu@scut.edu.cn

I. 主要学术兼职

Kinetic and Related Models》编委

Advances in Pure Mathematics》编委

ISRN Mathematical Analysis》编委

Progress in Applied Mathematics》编委

Acta Mathematica Scientia》、《数学物理学报》编委

《应用数学》编委

《数学教育学报》副主编

华南理工大学数学学院教授、博士生导师

II. 主要经历

1979.09–1983.07

华中师范大学数学系本科并获学士学位

1983.07–1988.09

华中师范大学数学系教师、助教

1988.09–1991.07

华中师范大学数学系硕士研究生并获硕士学位

1991.07–1995.06

中国科学院武汉物理与数学研究所助理研究员

1995.07–1996.06

中国科学院武汉物理与数学研究所副研究员

1996.06–1999.06

香港城市大学数学系博士研究生并获博士学位

1999.03–2004.02

华中师范大学数学系教师、教授

2004.03–2014.09

华中师范大学数学与统计学学院教授、博士生导师

2014.09–  在:

华南理工大学数学学院教授、博士生导师

非线性偏微分方程、流体力学方程

III. 主要科研项目

1.

2014.01–2018.12:“流体力学方程的数学理论国家自然科学基金重点项目,批准号:11331005,项目主持人。

2.

2014.01-2016.12:“非线性偏微分方程及相关问题的研究”,教育部“创新团队发展计划”项目,批准号:IRT13066,项目主持人。

3.

2011.01–2013.12流体力学及相关问题中若干方程的数学理论国家自然科学基金面上项目,批准号:11071093,项目主持人。

4.

2011.01–2013.12某些非线性守恒律组及相关问题的数学理论教育部博士点基金项目,批准号:20100144110001,项目主持人。

5.

2007.01–2010.12偏微分方程国家杰出青年科学基金项目,批准号:10625105,项目主持人。

6.

2005.01–2007.12新世纪优秀人才支持计划教育部人才基金项目,批准号:NCET-04-0745,项目主持人。

7.

2005.01–2008.12Boltzmann方程及其相关宏观模型国家自然科学基金重点项目,批准号:10431060,主要参加人。

8.

2002.01–2004.12 “具有耗散效应的双曲守恒律组解的存在性与渐近行为国家自然科学基金面上项目,批准号:10171037,项目主持人。

9.

2004.01–2005.12带耗散项的非线性双曲型方程组解的性态研究教育部科学技术研究重点项目,批准号:104128,项目主持人。

IV. 主要教学课程

本科生:

数学分析、常微分方程、偏微分方程、复变函数、高等数学。

研究生:

常微分方程边值问题、偏微分方程概论、反应扩散方程、激波理论、偏微分方程现代理论、线性波与非线性波、Boltzmann方程。

V. 研究领域

主要从事非线性双曲型偏微分方程及其相关领域的研究。利用补偿列紧理论研究双曲守恒律组近似解的收敛性及弱解的存在性;具有耗散结构的双曲守恒律组解的渐近行为;具有真空的Navier-Stokes 方程组及相关流体力学方程组解的爆破准则和整体经典解的存在性;Boltmann方程及Vlasov-Poisson-Boltzmann 方程解的存在性及解的大时间行为等。

VI. 科研获奖情况

1.

国家杰出青年科学基金获得者,2006.

2.

教育部新世纪优秀人才支持计划2004.

3.

湖北省劳动模范,2012.

4.

全国百篇优秀博士学位论文奖指导教师,2012.

5.

全国优秀科技工作者,中国科学技术学会,2012.

6.

湖北省优秀科技工作者,2008.

7.

非线性守恒律组的数学理论获教育部自然科学奖二等奖(朱长江、赵会江),2007.

8.

非线性双曲守恒律组及相关问题的研究获湖北省自然科学奖一等奖(朱长江、赵会江),2008.

9.

享受国务院政府特殊津贴专家,2000.

VII. 教研情况

1. 教学获奖情况

1.

国家级教学成果奖二等奖,成果名称:“师范大学双型名师团队主导的数学专业人才培养模式的创新与实践”,2014年。

2.

湖北名师,2013.

3.

湖北省优秀研究生导师,2004.

4.

湖北师德先进个人,2009.

5.

湖北省教学成果奖一等奖,成果名称:“师范大学双型名师团队主导的数学专业人才培养模式的创新与实践”,2012.

6.

国家级精品课程《偏微分方程》课程负责人,2010.

7.

国家级教学团队数学与应用数学专业主干课程教学团队负责人,2010.

8.

国家级精品资源共享课程《偏微分方程》课程负责人,2013.

9.

湖北省本科高校“专业综合改革试点”项目负责人,2012.

10.

湖北省精品课程《偏微分方程》课程负责人,2010.

11.

省级教学团队数学与应用数学专业主干课程教学团队负责人,2010.

2. 教学研究项目

1.

2013.10–2016.10:“国家级精品资源共享课程《偏微分方程》”,教育部高等教育司(教高司函【2013115号),项目负责人。

2.

2010.10–2015.10:“国家级精品课程《偏微分方程》”,教育部财政部(教高函【201014号),项目负责人。

3.

2010.10–2015.10数学与应用数学专业主干课程国家级教学团队,教育部财政部(教高函【201012号),项目负责人。

4.

2011.01–2011.12大学生数学建模训练与创新性实验基地”,国家财政专项,项目负责人。

5.

2012.10–2014.10依托名师,用课程群思想统领数学与应用数学专业主干课程建设的理论与实践,湖北省高等学校省级教学研究项目,批准号:2012083,项目负责人。

6.

数学与应用数学专业综合改革试点 2012年湖北省本科高校专业综合改革试点项目,项目负责人。

7.

2009.10–2010.10“深化《偏微分方程》课程教学改革,培养创新性高素质复合型人才的研究与实践”,华中师范大学教研项目,批准号:2009026,项目负责人。

3. 教材与教研论文

1.

朱长江,邓引斌,偏微分方程教程,科学出版社2005.

2.

朱长江,彭红云,偏微分方程教学辅导课件,华中师范大学出版社2013.

3.

朱长江,彭双阶,普通高等教育十二五规划教材,新世纪新理念高等院校数学教学改革与教材建设精品教材(系列教材),华中师范大学出版社2013.

4.

朱长江,贺占魁,叶飞,审核评估:高等学校内涵式发展的催化剂—华中师范大学对评建工作的认识与应对,中国大学教学2014年第6期(总第286期),71-73.

5.

朱长江,徐章韬,在大学数学教学中寻找认知的固着点:目标、路径和成效,中国大学教学2014年第10期(总第290期),48-51.

6.

朱长江,偏微分方程课程研究型教学的一个实例剖析,数学教育学报23(1)(2014), 63-65.

7.

朱长江,胡中波,研教结合,推动国家精品课程建设升级,中国高等教育2013年第18期(总第494期),45-51.

8.

朱长江,何穗,徐章韬,数学与应用数学专业综合改革目标、方案与实施,中国大学教学2013年第2期(总第270期),30-33.

9.

朱长江,刘敏思,何穗,以名师工程为主导大力提升人才培养质量,中国高等教育2012年第18期(总第487期),47-48.

10.

朱长江,胡中波,曹阳,实施“四个转变”,推动本科教学改革,中国高等教育2013年第20期(总第510期),43-44.

11.

朱长江,阮立志,偏微分方程国家级精品课程的建设与推广,中国大学教学2012年第8期(总第264期),46-48.

12.

朱长江,蒋咪娜,阮立志,“偏微分方程”研究型教学的理论与实践,数学教育学报21(2)(2012), 53-55.

13.

朱长江,谈谈如何提高大学生的数学素养,中国大学教学2011年第11期(总第255期),17-19.

14.

朱长江,阮立志,关于“偏微分方程”国家级精品课程建设的几点体会,数学教育学报20(4)(2011), 84-86.

  

  

     

  

2014年发表的论文

  

1.

Biao Dongfen, Yao Lei, Zhu Changjiang*, Vanishing capillarity limit of the compressible fluid models of Korteweg type to the Navier-Stokes equations, SIAM Journal on Mathematical Analysis, 46(2)(2014), 1633-1650.

2.

Liu Qingqing, Yin Haiyan, Zhu Changjiang*, Asymptotic stability of the compressible Euler-Maxwell equations to Euler-Poisson equations, Indiana University Mathematics Journal, 63(4)(2014), 1085-1108.

3.

Wen Huanyao, Zhu Changjiang*, Global symmetric classical solutions of the full compressible Navier-Stokes equations with vacuum and large initial data, Journal de Mathématiques Pures et Appliquées, 102(2014), 498-545.

4.

Steinar Evje, Liu Qingqing, Zhu Changjiang*, Asymptotic stability of the compressible gas-liquid model with well-formation interaction and gravity, Journal of Differential Equations, 257(2014), 3226-3271.

5.

Peng Hongyun, Wen Huanyao, Zhu Changjiang, Global well-posedness and zero-diffusion limit of classical solutions to the 3D conservation laws arising in chemotaxis, Zeitschrift fur angewandte Mathematik und Physik, 65(2014), 1167-1188 .

6.

Hong Guangyi, Hou Xiaofeng, Peng Hongyun, Zhu Changjiang*, Global spherically symmetric classical solution to the Navier-Stokes-Maxwell system with large initial data and vacuum, Science in China, Series A, 57(12)(2014), 2463-2484.

  

2013年发表的论文

  

1.

Wen Huanyao, Zhu Changjiang*, Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum, Advances in Mathematics, 248(2013), 534-572.

2.

Liu Qingqing, Zhu Changjiang*, Asymptotic stability of stationary solutions to the compressible Euler-Maxwell equations, Indiana University Mathematics Journal, 62(4)(2013), 1203-1235.

3.

Wen Huanyao, Zhu Changjiang*, Global classical large solutions to Navier-Stokes equations for viscous compressible and heat conducting fluids with vacuum, SIAM Journal on Mathematical Analysis, 45(2)(2013) , 431-468.

  

2012年发表的论文

  

1.

Duan Renjun, Liu Qingqing, Zhu Changjiang*, The Cauchy problem on the compressible two-fluids Euler-Maxwell equations, SIAM Journal on Mathematical Analysis, 44(2012), 102-133.

2.

Duan Renjun, Ruan Lizhi, Zhu Changjiang*, Optimal decay rates to conservation laws with diffusion-type terms of regularity-gain and regularity-loss, Mathematical Models and Methods in Applied Sciences, 22(2012), 1250012.

3.

Wen Huanyao, Yao Lei, Zhu Changjiang*, A blow-up criterion of strong solution to a 3D viscous liquid-gas two-phase flow model with vacuum, Journal de Mathématiques Pures et Appliquées, 97 (2012), 204-229.

4.

Yao Lei, Zhu Changjiang*, Zi Ruizhao, Incompressible limit of viscous liquid-gas two-phase flow model, SIAM Journal on Mathematical Analysis, 44(2012), 3324-3345.

5.

Ding Shijin, Wen Huanyao, Yao Lei, Zhu Changjiang*, Global spherically symmetric classical solution to compressible Navier-Stokes equations with large initial data and vacuum, SIAM Journal on Mathematical Analysis, 44(2012), 1257-1278.

6.

Liu Qingqing, Zhu Changjiang*, Asymptotic behavior of a viscous liquid-gas model with mass-dependent viscosity and vacuum, Journal of Differential Equations, 252(2012), 2492-2519.

7.

Fan Long, Liu Qingqing, Zhu Changjiang*, Convergence rates to stationary solutions of a gas–liquid model with external forces, Nonlinearity, 25(2012) 2875-2901.

8.

Ruan Lizhi, Zhu Changjiang*, Boundary layer for nonlinear evolution equations with damping and diffusion, Discrete and Continuous Dynamical Systems, Series A, 32(2012), 331-352.

9.

Peng Hongyun, Ruan Lizhi, Zhu Changjiang, Convergence rates of zero diffusion limit on large amplitude solution to a conservation laws arising in chemotaxis, Kinetic and Related Models, 5(2012), 563-581.

  

2011年发表的论文

  

1.

Yao Lei, Zhu Changjiang*, Existence and uniqueness of global weak solution to a two-phase flow model with vacuum, Mathematische Annalen, 349(2011), 903-928.

2.

Yao Lei, Zhang Ting, Zhu Changjiang*, Boundary layers for compressible Navier-Stokes equations with density-dependent viscosity and cylindrical symmetry, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 28(2011), 677-709.

3.

Zhang Guojing, Li Hailiang, Zhu Changjiang, Optimal decay rate of the non-isentropic compressible Navier-Stokes-Poisson system in , Journal of Differential Equations, 250(2011), 866-891.

4.

Yao Lei, Zhang Ting, Zhu Changjiang*, A blow-up criterion for a 2D viscous liquid-gas two-phase flow model, Journal of Differential Equations, 250(2011), 3362-3378.

5.

Zhu Changjiang, Zi Ruizhao, Asymptotic behavior of solutions to 1D compressible Navier-Stokes equations with gravity and vacuum, Discrete and Continuous Dynamical Systems, Series A, 30(2011), 1263-1283.

6.

Ding Shijin, Wen Huanyao, Zhu Changjiang*, Global classical large solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum, Journal of Differential Equations, 251(2011), 1696-1725.

  

2010年发表的论文

  

1.

Zhu Changjiang*, Asymptotic behavior of compressible Navier-Stokes equations with density-dependent viscosity and vacuum, Communications in Mathematical Physics, 293(2010), 279-299.

2.

Chen Jing, Zhu Changjiang, Decay rates of strong planar rarefaction waves to scalar conservation laws with degenerate viscosity in several space dimensions, Transactions of the American Mathematical Society, 362 (2010), 1797-1830.

3.

Duan Renjun, Klemens Fellner, Zhu Changjiang, Energy method for multi-dimensional balance laws with non-local dissipation, Journal de Mathématiques Pures et Appliquées, 93(2010), 572-598.

4.

Yao Lei, Zhang Ting, Zhu Changjiang*, Existence and asymptotic behavior of global weak solutions to a 2D viscous liquid-gas two-phase flow model, SIAM Journal on Mathematical Analysis, 42(2)(2010), 1874-1897.

5.

Ruan Lizhi, Zhu Changjiang*, Asymptotic behavior of solutions to a hyperbolic-elliptic coupled system in multi-dimensional radiating gas, Journal of Differential Equations, 249(2010), 2076-2110.

6.

Guo Zhenhua, Zhu Changjiang, Global weak solutions and asymptotic behavior to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum, Journal of Differential Equations, 248(2010), 2768-2799.

  

2009年发表的论文

  

1.

Jiang Mina, Zhu Changjiang*, Convergence to strong nonlinear diffusion waves for solutions to p-system with damping on quadrant, Journal of Differential Equations, 246(2009), 50-77.

2.

Jiang Mina, Zhu Changjiang, Convergence rates to nonlinear diffusion waves for p-system with nonlinear damping on quadrant, Discrete and Continuous Dynamical Systems, Series A, 23(3)(2009), 887-918.

3.

Wu Zhigang, Zhu Changjiang*, Vacuum problem for 1D compressible Navier-Stokes equations with gravity and general pressure law, Zeitschrift fur angewandte Mathematik und Physik, 60(2009), 246-270.

4.

Ding Shijin, Wen Huanyao, Yao Lei, Zhu Changjiang*, Global solutions to 1D compressible  Navier-Stokes-Poisson equations with density-dependent viscosity, Journal of Mathematical Physics, 50(2009), 023101.

5.

Yao Lei, Zhu Changjiang*, Free boundary value problem for a viscous two-phase model with mass-dependent viscosity, Journal of Differential Equations, 247(2009), 2705-2739.

  

2008年发表的论文

  

1.

Gao Wenliang, Ruan Lizhi, Zhu Changjiang*, Decay rates to the planar rarefaction waves for a model system of the radiating gas in n-dimensions, Journal of Differential Equations, 244(2008), 2614-2640.

2.

Gao Wenliang, Zhu Changjiang*, Asymptotic decay toward the planar rarefaction waves for a model system of the radiating gas in two dimensions, Mathematical Models and Methods in Applied Sciences, 18(4)(2008), 511-541.

3.

Qiao Songshan, Zhu Changjiang, A note on global smooth solution to the p-system with damping, Proceedings of the Royal Society of Edinburgh, 138A(2008), 369-378.

4.

Zhang Jing, Zhu Changjiang*, BV-estimates of Lax-Friedrichs' scheme for hyperbolic conservation laws with relaxation, Mathematical Methods in the Applied Sciences, 31(8)(2008), 959-974.

5.

Chen Kaimao, Zhu Changjiang, The zero diffusion limit for nonlinear hyperbolic system with damping and diffusion, J. Hyperbolic Differential Equations, 4 (2008), 767-783.

  

2007年发表的论文

  

1.

Zhang Mei, Zhu Changjiang, Global existence of solutions to a hyperbolic-parabolic system, Proceedings of the American Mathematical Society135(4) (2007), 1017-1027.

2.

Yang Tong, Zhang Mei, Zhu Changjiang, Existence of strong traveling wave profiles to 22 system of viscous conservation laws, Proceedings of the American Mathematical Society135(6)(2007), 1843-1849.

3.

Sun Meiman, Zhu Changjiang*, Vacuum states on compressible Navier-Stokes equations with general density-dependent viscosity and general pressure law, Science in China, Series A, 50(8)2007, 1173-1185. 孙美满,朱长江,具有一般粘性和压力的可压缩Navier-Stokes方程组的真空状态,中国科学A37(4)(2007), 484-496.

  

2006年发表的论文

  

1.

Duan Renjun, Yang Tong, Zhu Changjiang, Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum, Discrete and Continuous Dynamical SystemsSeries A, 16(1)(2006), 253-277.

2.

Zhu Changjiang, Jiang Mina, Lp-decay rates to nonlinear diffusion waves for p-system with nonlinear damping, Science in China, Series A, 49(6)(2006), 721-739. 朱长江蒋咪娜,具有非线性阻尼项的p-方程组非线性扩散波的Lp-衰减率,中国科学A, 36(3)(2006), 262-280.

3.

Duan Renjun, Zhang Mei, Zhu Changjiang, stability for the Vlasov-Poisson-Boltzmann system around vacuum, Mathematical Models and Methods in Applied Sciences, 16(9)(2006), 1505-1526.

4.

Duan Renjun, Yang Tong, Zhu Changjiang*,  and BV-type stability of the Boltzmann equation with external forces, Journal of Differential Equations, 227(2006), 1-28.

  

2005年发表的论文

  

1.

Duan Renjun, Yang Tong, Zhu Changjiang*, Global existence to Boltzmann equation with external force in infinite vacuum, Journal of Mathematical Physics, 46(2005), 053307,13pp.

  

2004年发表的论文

  

1.

Zhu Changjiang, Wang Zhian, Decay rates of solutions to dissipative nonlinear evolution equations with ellipticity, Zeitschrift fur angewandte Mathematik und Physik, 55(6)(2004), 994-1014.

  

2003年发表的论文

  

1.

Zhu Changjiang*Convergence rates to nonlinear diffusion waves for weak entropy solutions to p-system with damping, Science in China, Series A, 46(4)(2003), 562-575. 朱长江具有阻尼的p-方程组弱熵解的非线性扩散波的收敛率,中国科学A, 33(4)(2003), 297-309.

2.

Yang Tong, Zhu Changjiang, Non-existence of global smooth solutions to symmetrizable nonlinear hyperbolic systems, Proceedings of the Royal Society of Edinburgh, 133(3)(2003), 719-728.

3.

Vong Seakweng, Yang Tong, Zhu Changjiang, Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum (II), Journal of Differential Equations, 192(2)(2003), 475-501.

4.

Yang Tong, Zhao Huijiang, Zhu Changjiang, BV estimates of Lax-Friedrichs’ scheme for a class of nonlinear hyperbolic conservation laws, Proceedings of the American Mathematical Society131(4)(2003), 1257-1266.

  

2002年发表的论文

  

1.

Yang Tong, Zhu Changjiang, Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum, Communications in Mathematical Physics, 230(2) (2002), 329-363.

2.

Zhu Changjiang*, Asymptotic behavior of solutions for p-system with relaxation, Journal of Differential Equations, 180(2)(2002), 273-306.

  

2001年发表的论文

  

1.

Yang Tong, Yao Zheng-an, Zhu Changjiang, Compressible Navier-Stokes equations with density-dependent viscosity and vacuum, Communications in Partial Differential Equations, 26(5-6)(2001), 965-981.

  

2000年发表的论文

  

1.

Yang Tong, Zhu Changjiang, Existence and non-existence of global smooth solutions for p-system with relaxation, Journal of Differential Equations, 161(2)(2000), 321-336.

2.

Yang Tong, Zhao Huijiang, Zhu Changjiang, Asymptotic behavior of solutions to a hyperbolic system with relaxation and boundary effect, Journal of Differential Equations, 163(2)(2000), 348-380.

  

1999年发表的论文

  

1.

Ying Lung-an, Yang Tong, Zhu Changjiang, Nonlinear stability of strong detonation waves for a dissipative model, Journal of Differential Equations, 151(1)(1999), 134-160.

2.

Ying Lung-an, Yang Tong, Zhu Changjiang, The rate of asymptotic convergence of strong detonations for a model problem, Japan Journal of Industrial and Applied Mathematics, 16(3)(1999), 467-487.

  

1998年发表的论文

  

1.

Zhu Changjiang*, Existence of the entropy solution for a viscoelastic model, Journal of Differential Equations, 146(1998), 22-55.

  

1997年以前发表的论文

  

1.

Ying Lung-an, Yang Tong, Zhu Changjiang, Existence of global smooth solutions for Euler equations with symmetry, Communications in Partial Differential Equations, 22(7-8)(1997), 1361-1387.

2.

Yang Tong, Zhu Changjiang, Zhao Huijiang, Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms, Proceedings of the Royal Society of Edinburgh, 127(6)(1997), 1311-1324.

3.

Zhu Changjiang, Convergence of the viscosity solutions for weakly strictly hyperbolic conservation laws, Proceedings of the Royal Society of Edinburgh, 127(5)(1997), 1103-1110.

4.

Zhu Changjiang, Riemann problem for a class of 22 hyperbolic conservation laws, Proceedings of the Royal Society of Edinburgh, 126(4)(1996), 719-724.

5.

Zhu Changjiang, Global smooth solution of the non-isentropic gas dynamics system, Proceedings of the Royal Society of Edinburgh, 126(4)(1996), 769-775.

6.

Zhao Huijiang, Zhu Changjiang, Solutions in the large for certain nonlinear parabolic systems and applications, Proceedings of the Royal Society of Edinburgh, 126(1)(1996), 19-45.

7.

Zhu Changjiang, Convergence of viscosity solutions for 22 hyperbolic conservation laws with one characteristic field linearly degenerate on some zero measure sets, Chinese Science Bulletin, 41(1)(1996), 11-16. 朱长江,一个特征在某一零测集上线性退化的22双曲守恒律组粘性解的收敛性,科学通报40(18)(1995), 1639-1643.

8.

Zhu Changjiang, Global resolvability for a viscoelastic model with relaxation, Proceedings of the Royal Society of Edinburgh, 125(6)(1995), 1277-1285.

  

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华南理工大学四号楼