教授
朱长江
姓 名： | 朱 长 江 |
职 位： | 教授、博士、学术院长 |
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 |
《Communications in Mathematical Analysis and Applications》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 |
教育部高等学校教学指导委员会数学类专业教学指导委员会委员，2013- |
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： | 中国科学院武汉数学物理研究所助理研究员 |
1995.07–1996.06： | 中国科学院武汉数学物理研究所副研究员 |
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–现 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. | 2022.01–2025.12：“辐射气体中的双曲-椭圆耦合方程组初边值问题基本波的稳定性”， 国家自然科学基金面上项目，批准号：12171160，项目主持人。 |
2. | 2020.01–2020.12：“可压缩Euler方程组及其相关模型适定性和渐近极限”，国家自然 科学基金数学天元基金项目，批准号：11926346，项目主持人。 |
3. | 2019.01–2023.12：“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: 11831003，主要参加人。 |
4. | 2018.01–2021.12：“可压缩Navier-Stokes-Vlasov-Fokker-Planck方程及相关模型解的适定 性”，国家自然科学基金面上项目，批准号：11771150，项目主持人。 |
5. | 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。 |
6. | 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。 |
7. | 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。 |
8. | 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。 |
9. | 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。 |
10. | 2005.01–2008.12：“Boltzmann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。 |
11. | 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。 |
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；流体方程组非线性波的稳定性；具有真空的Navier-Stokes方程组 及相关流体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. | 全国优秀博士学位论文奖指导教师，2012. |
4. | 全国优秀科技工作者，中国科学技术学会，2012. |
5. | “可压缩Navier-Stokes方程组及相关问题的数学理论”获教育部自然科学奖一等奖 （朱长江、温焕尧、杨彤），2022. |
6. | “液体-气体两相流模型的适定性理论”获广东省自然科学奖一等奖 （朱长江、姚磊、温焕尧），2020. |
7. | “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. |
8. | “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. |
VII. 教研情况
1. 教学获奖情况
1. | 国家“万人计划”教学名师，2018. |
2. | 杰出教学奖，教育部（中国教师发展基金会），2020. |
3. | 教学终身成就奖，华南理工大学，2021. |
4. | 国家级教学成果奖二等奖，成果名称：“面向理工科创新型人才培养的“四步进阶”大学 数学教学改革”，第一完成人，2018. |
5. | 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”，第一完成人，2014. |
6. | 广东省“特支计划”教学名师，2017. |
7. | 湖北名师，2013. |
8. | 湖北省优秀研究生导师，2004. |
9. | 湖北师德先进个人，2009. |
10. | 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. |
11. | 国家级一流本科专业“数学与应用数学专业”负责人，2020. |
12. | 国家级一流本科课程《微积分II（一）》课程负责人，2020. |
13. | 国家级一流本科课程《数学物理方程》课程负责人，2023. |
14. | 国家级精品课程《偏微分方程》课程负责人，2010. |
15. | 国家级精品资源共享课程《偏微分方程》课程负责人，2013. |
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【2013】115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【2010】 14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【2010】12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。 |
3. 教材与教研论文
1. | 张凯军，朱长江，应用偏微分方程简论，高等教育出版社，2024. |
2. | 朱长江，阮立志，偏微分方程重难点解析，华南理工大学出版社，2024. |
3. | 朱长江，阮立志，偏微分方程研究型教学典型案例选讲，高等教育出版社，2023. |
4. | 朱长江，阮立志，偏微分方程简明教程（第二版），高等教育出版社，2022. |
5. | 朱长江，一阶非线性偏微分方程引论，高等教育出版社，2016. |
6. | 朱长江，阮立志，偏微分方程简明教程，高等教育出版社，2015. |
7. | 朱长江，邓引斌，偏微分方程教程，科学出版社，2005. |
8. | 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. |
9. | 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. |
10. | 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. |
11. | 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. |
12. | 朱长江，郭艾，杨立洪，面向理工科创新型人才培养的“四步进阶”大学数学教学改革， 中国大学教学，2018年第3期（总第331期），33-36. |
13. | 朱长江，郭艾，建设高水平大学数学教学团队，中国大学教学，2016年第7期 （总第311期），48-51. |
14. | 朱长江，郭艾，杨立洪，以生为本，多元融合，推进大学数学教学改革，中国大学教学， 2015年第5期（总第297期），59-62. |
15. | 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. |
16. | 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. |
17. | 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. |
18. | 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. |
19. | 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. |
20. | 朱长江，李书刚，胡中波，在数学文化课程中引进优质教学资源开展混合式教学的探索 与实践，数学教育学报，25(4)(2016), 30-32. |
21. | 朱长江，郭艾，杨立洪，杨启贵，数学技术实验教学体系的构建与实验内容的设计， 数学教育学报，25(1)(2016), 28-30. |
22. | 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. |
23. | 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. |
24. | 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. |
VIII.主 要 论 文 目 录
99. | Zhang Minyi, Zhu Changjiang*, Asymptotic stabilityof planar rarefaction wave to a 2D hyperbolic-elliptic coup- ling system of the radiating gas on half-space, Journal of the European Mathematical Society, 2024, DOI: 10.417 1/JEMS/1434. |
98. | Ji Shanming, Li Zongguang, Zhu Changjiang*, Removable singularities and unbounded asymptotic profiles of multidimensional Burgers equations, Mathematische Annalen, 391(2025), 113-162. |
97. | Hong Guangyi, Hou Xiaofeng, Peng Hongyun, Zhu Changjiang*, Global existence for a class of large solution to compressible Navier-Stokes equationswith vacuum, Mathematische Annalen, 388(2)(20 24), 2163-2194. |
96. | Feireisl Eduard, Wen Huanyao, Zhu Changjiang, On Nash's conjecture for models of viscous, compressible, and heat conducting fluids, Mathematische Annalen, 390(2024),1201-1248. |
95. | Wei Jing, Zhang Minyi, Zhu Changjiang*, Global classical solutions to a multidimensional radiation hydrodyna- mics model with symmetry and large initial data, Journal of London Mathematical Society,110(3)(2024), e12973. DOI: 10.1112/jlms.12973. |
94. | Wei Jing, Zhang Minyi, Zhu Changjiang*, Global classical largesolutions for the radiation hydrodynamics model in unbounded domains, SIAM Journal on Mathematical Analysis, 56(4)(2024), 4811-4833. |
93. | Zhang Nangao, Zhu Changjiang*, Zhu Limei, Convergence to nonlinear diffusion waves for solutions of blood flow model, SIAM Journal on Mathematical Analysis, 56(5)(2024), 6768-6797. |
92. | Hong Guangyi, Li Jinjing, Wei Jing, Zhu Changjiang*, Decay rates for solutions to the compressible Navier- Stokes equations with vacuum free boundary and large initial data, Indiana University Mathematics Journal, 73(5)(2024), 1715-1745. |
91. | Feng Zefu, Hong Guangyi, Zhu Changjiang*, Global classical solutions for 3D compressible magneto-micropo- lar fluids without resistivity and spin viscosity in a strip domain, Science China Mathematics, 67(11)(2024), 2485-2514. https://doi.org/10.1007/s11425-022-2185-0 |
90. | Zhang Minyi, Zhu Changjiang*, Asymptotic stability of travelling wave to a hyperbolic-elliptic coupled system of the radiating gas on half line, Calculus of Variations and Partial Differential Equations, (2023) 62:263. |
89. | Yin Haiyan, Zhu Changjiang*, The outflow problem for the radiative and reactive gas: existence, stability and convergence rate, Nonlinearity, 36(2023), 2435-2472. |
88. | Cui Haibo, Yin Haiyan, Zhu Changjiang*, Convergence rates to the Barenblatt solutions for the compressible Eu- ler equations with time-dependent damping, Journal of Differential Equations, 374(2023), 761-788. |
87. | Dong Zehan, Zhang Nangao, Zhu Changjiang*, Convergence to nonlinear diffusion waves for solutions of hyper- bolic-parabolic chemotaxis system, Journal of Differential Equations, 377(2023), 332-368. |
86. | Zhang Nangao, Zhu Changjiang*, Long-time behavior of solutions to the $M_1$ model with boundray effect, Discrete and Continuous Dynamical Systems, 43(5)2023, 1824-1859. |
85. | Zhang Minyi, Zhu Changjiang*, Convergence rates tothe planar stationary solution to a 2D model of the radiating gas on half space, Journal of Mathematical Physics, 64(2023), 081502, https://doi.org/10.1063/5.0150233 |
84. | Ji Shanming, Zhang Minyi, Zhu Changjiang*, Asymptotic stabilityof solutions to a hyperbolic-elliptic coupled system of the radiating gas onthe half line, SIAM on Journal of Mathematical Analysis, 54(3)(2022), 3884-3929. |
83. | Hong Guangyi, Peng Hongyun, Zhu Changjiang*, The relaxation limit of a compressible gas-liquid model with well-reservoir interaction, IndianaUniversity Mathematics Journal, 71(3)(2022), 1349-1370. |
82. | Zhang Nangao, Zhu Changjiang*, Convergence to nonlinear diffusion waves for solutions of $M_1$ model, Journal of Differential Equations, 320(2022), 1-48. |
81. | Chen Senming, Zhu Changjiang*, Global classical solution to 1D two-fluid model with density-dependent viscosity and vacuum, Science China Mathematics, 65(12)(2022), 2563-2582. |
80. | Peng Hongyun, WangZhian*, Zhu Changjiang, Global weak solutions and asymptotics of a singular PDE-ODE chemotaxis system with discontinuous data, Science China Mathematics, 65(2)(2022), 269-290. |
79. | Wen Huanyao, Yang Tong*, Zhao Xinhua, Zhu Changjiang, Optimal convergence rate of the vanishing shear viscosity limit for compressibleNavier-Stokes equations with cylindrical symmetry, Journal de Mathématiques Pures et Appliquées, 146(2021), 99-126. |
78. | Yao Huicheng, Zhu Changjiang*, Asymptotic stability of the superposition of viscous contact wave with rarefac- tion waves for the compressible Navier-Stokes-Maxwell equations, SIAM on Journal of MathematicalAnalysis, 53(5)(2021), 6122-6163. |
77. | Duan Renjun, Yin Haiyan*, Zhu Changjiang, A half-space problem on the full Euler-Poisson system, SIAM on Journal of Mathematical Analysis, 53(5)(2021), 6094-6121. |
76. | Hong Guangyi, Peng Hongyun, Wang Zhian, Zhu Changjiang, Nonlinear stability of phase transition steady states to a hyperbolic-parabolic system modelling vascular networks, Journal of the London Mathematical Society, 103(2)(2021), 1480-1514. |
75. | Feng Zefu, Hong Guangyi, Zhu Changjiang*, Optimal time decay of the compressible Navier-Stokes equations for a reacting mixture, Nonlinearity, 34(2021), 5955-5978. |
74. | Luo Ting, Yin Haiyan, Zhu Changjiang*, Stability of the composite wave for compressible Navier-Stokes/Allen- Cahn system, Mathematical Models and Methods in Applied Sciences, 30(2)(2020), 343-385. |
73. | Chen Senming, Ji Shanming, Wen Huanyao, Zhu Changjiang*, Existence of weak solutions to steady Navier-Stokes/Allen-Cahn system, Journal of Differential Equations, 269(10)(2020), 8331-8349. |
72. | Hong Guangyi, Zhu Changjiang*, Optimal decay rates on compressible Navier-Stokes equations with degenerate viscosity and vacuum, Journal de Mathématiques Pures et Appliquées, 124(2019), 1-29. |
71. | Yin Haiyan, Zhu Changjiang*, Asymptotic stability of superposition of stationary and rarefaction waves for 1D Navier-Stokes/Allen-Cahn system, Journal of Differential Equations, 266(2019), 7291-7326. |
70. | Cui Haibo, Yin Haiyan, Zhu Changjiang*, Zhu Limei, Convergence to diffusion waves for solutions of Euler equations withtime-depending damping on quadrant, Science China Mathematics, 62(1)(2019), 33-62. |
69. | Feng Zefu, Zhu Changjiang*, Global classical large solution to compressible viscous micropolar and heat-con- ducting fluids with vacuum, Discrete and Continuous Dynamical Systems, Series A, 39(6)(2019), 3069-3097. |
68. | Hong Guangyi, Zhu Changjiang*, Optimal decay rates on the solution to the compressible gas-liquid drift-flux model with slip, Mathematical Models and Methods in Applied Sciences, 28(2)(2018), 337-386. |
67. | Cui Haibo, Yin Haiyan, Zhang Jinshun, Zhu Changjiang*, Convergence to nonlinear diffusion waves for solu- tions of Euler equations withtime-depending damping, Journal of Differential Equations, 264(7)(2018), 4564-4602. |
66. | Hong Guangyi, Luo Tao, Zhu Changjiang*, Global solutions to physical vacuum problemof non-isentropic vi-scous gaseous stars and nonlinear asymptotic stability of stationary solutions, Journal of Differential Equations, 265(1)(2018), 177-236. |
65. | Zhuosi Zhou, Zhu Changjiang, Zi Ruizhao*, Global well-posedness and decay rates for the three dimensional compressible Oldroyd-Bmodel, Journal of Differential Equations, 265(2018), 1259-1278. |
64. | Feng Zefu, Zhu Changjiang, Zi Ruizhao*, Blow-up criterion for the incompressible viscoelastic flows, Journal of Functional Analysis, 272(9)(2017), 3742-3762. |
63. | Steinar Evje, Wen Huanyao*, Zhu Changjiang, On global solutions to the viscous liquid-gas model with unconstrained transition to single-phaseflow, Mathematical Models and Methodsin Applied Sciences, 27(2)(2017), 323-346. |
62. | Wen Huanyao, Zhu Changjiang, Global solutions to 3D full compressible Navier-Stokes equations with vacuum in some classes of large data, SIAM Journal on Mathematical Analysis, 49(1)(2017), 162-221. |
61. | Hong Guangyi, Hou Xiaofeng, Peng Hongyun, Zhu Changjiang*, Global existence for a class of large solution to 3D compressible magnetohydrodynamic equations with vacuum, SIAM Journal onMathematical Analysis, 49(4)(2017), 2409-2441. |
60. | Duan Ran, Guo Ai*, Zhu Changjiang, Global strong solution to compressible Navier-Stokes equations with density dependent viscosity and temperature dependent heat conductivity, Journal of Differential Equations, 262(8)(2017), 4314-4335. |
59. | Cui Haibo, Wang Wenjun, Yao Lei, Zhu Changjiang*, Decay rates for a nonconservative compressible generic two-fluid model, SIAM Journal on Mathematical Analysis, 48(1)(2016), 470-512. |
58. | Duan Renjun, Liu Shuangqian, Yin Haiyan, Zhu Changjiang*, Stability of the rarefaction wave for a two-fluid plasma model with diffusion, Science China Mathematics, 59(1)(2016),67-84. |
57. | Duan Renjun, Liu Qingqing, Zhu Changjiang, Darcy’s law and diffusion for a two-fluid Euler–Maxwell system with dissipation, Mathematical Models and Methods in Applied Sciences, 25(11)(2015), 2089-2151. |
56. | Zhang Yinghui, Zhu Changjiang*, Global existence and optimal convergence rates for the strong solutions in $H^2$ to the 3D viscous liquid-gas two-phase flow model, Journal of Differential Equations, 258(2015), 2315-2338. |
55. | Wen Huanyao, Zhu Changjiang*, Global symmetric classical solutions of the full compressible Navier-Stokes equations with vacuum and large initial data, Journal deMathématiques Pures et Appliquées, 102(2014), 498-545. |
54. | Bian Dongfen, Yao Lei, Zhu Changjiang*, Vanishing capillarity limit of the compressible fluid models of Korte- weg type to the Navier-Stokes equations, SIAM Journal on MathematicalAnalysis, 46(2)(2014), 1633-1650. |
53. | Liu Qingqing, Yin Haiyan, Zhu Changjiang*, Asymptotic stability of the compressible Euler-Maxwell equations to Euler-Poisson equations, IndianaUniversity Mathematics Journal, 63(4)(2014), 1085-1108. |
52. | 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. |
51. | 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 China Mathematics, 57(12)(2014), 2463-2484. |
50. | 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. |
49. | Wen Huanyao, Zhu Changjiang*, Global classical large solutions to Navier-Stokes equations for viscous compre- ssible and heat conducting fluids with vacuum, SIAM Journal on Mathematical Analysis, 45(2)(2013), 431-468. |
48. | Liu Qingqing, Zhu Changjiang, Asymptotic stability of stationary solutions to the compressible Euler-Maxwell equations, Indiana University Mathematics Journal, 62(4)(2013), 1203-1235. |
47. | 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. |
46. | 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. |
45. | 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. |
44. | 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. |
43. | Ding Shijin, Wen Huanyao, Yao Lei, Zhu Changjiang*, Global spherically symmetric classical solution to com- pressible Navier-Stokes equations with large initial data and vacuum, SIAM Journal on Mathematical Analysis, 44(2012), 1257-1278. |
42. | 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. |
41. | Fan Long, Liu Qingqing, Zhu Changjiang, Convergence rates to stationary solutions of a gas-liquid model with external forces, Nonlinearity, 25(2012)2875-2901. |
40. | 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. |
39. | 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. |
38. | 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. |
37. | Zhang Guojing, Li Hailiang*, Zhu Changjiang, Optimal decay rate of the non-isentropic compressible Navier- Stokes-Poisson system in $R^{3}$, Journal of Differential Equations, 250(2011), 866-891. |
36. | 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. |
35. | 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. |
34. | Zhu Changjiang, Zi Ruizhao*, Asymptotic behavior ofsolutions to 1D compressible Navier-Stokes equations with gravity and vacuum, Discrete and Continuous Dynamical Systems, Series A, 30(2011), 1263-1283. |
33. | 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 MathematicalSociety, 362(2010), 1797-1830. |
32. | Zhu Changjiang, Asymptotic behavior of compressible Navier-Stokes equations withdensity-dependent viscosity and vacuum, Communicationsin Mathematical Physics, 293(2010), 279-299. |
31. | 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. |
30. | YaoLei, 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. |
29. | Ruan Lizhi, Zhu Changjiang*, Asymptotic behavior of solutions to a hyperbolic-elliptic coupled system in multidimensional radiating gas, Journal of Differential Equations, 249(2010), 2076-2110. |
28. | 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. |
27. | 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. |
26. | 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. |
25. | Jiang Mina, Zhu Changjiang, Convergence rates to nonlinear diffusion waves for p-system with nonlinear damping on quadrant, Discreteand Continuous Dynamical Systems, Series A, 23(3)(2009), 887-918. |
24. | 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. |
23. | 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. |
22. | 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. |
21. | 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. |
20. | Duan Renjun, Zhang Mei, Zhu Changjiang, $L^{1}$ stability for the Vlasov-Poisson-Boltzmann system around vacuum, Mathematical Models and Methods in Applied Sciences, 16(9)(2006), 1505-1526. |
19. | Duan Renjun, Yang Tong, Zhu Changjiang*, $L^{1}$ and BV-type stability of the Boltzmann equation with external forces, Journal of Differential Equations, 227(2006), 1-28. |
18. | Zhu Changjiang*, Jiang Mina, $L^{p}$-decay rates to nonlinear diffusion waves for p-system with nonlinear damping, Science in China,Series A, 49(6)(2006),721-739. |
17. | Duan Renjun, Yang Tong, Zhu Changjiang, Boltzmann equation with external force and Vlasov-Poisson-Boltz- mann system in infinite vacuum, Discrete and Continuous Dynamical Systems, Series A, 16(1)(2006), 253-277. |
16. | 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. |
15. | 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. |
14. | Zhu Changjiang, Convergence rates to nonlinear diffusion waves forweak entropy solutions to p-system with damping, Science in China, Series A, 46(4)(2003),562-575. |
13. | Yang Tong, Zhu Changjiang, Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum, Communications in Mathematical Physics, 230(2) (2002), 329-363. |
12. | Zhu Changjiang, Asymptotic behavior of solutions for p-system with relaxation, Journal of Differential Equations, 180(2)(2002), 273-306. |
11. | 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. |
10. | 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. |
9. | 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. |
8. | Ying Lung-an, Yang Tong, Zhu Changjiang, Nonlinear stability of strongdetonation waves for a dissipative model, Journal of Differential Equations, 151(1)(1999), 134-160. |
7. | Zhu Changjiang, Existence of the entropy solution for a viscoelastic model, Journal of Differential Equations, 146(1998), 22-55. |
6. | 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. |
5. | Zhu Changjiang, Riemann problem for a class of 2×2 hyperbolic conservation laws, Proceedings of the Royal Society of Edinburgh, 126(4)(1996),719-724. |
4. | Zhu Changjiang, Global smooth solution of the non-isentropic gas dynamics system, Proceedings of the Royal Society of Edinburgh, 126(4)(1996), 769-775. |
3. | 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. |
2. | Zhu Changjiang, Convergence of viscosity solutions for 2×2 hyperbolic conservation laws with one characteristic field linearly degenerate on some zero measure sets, Chinese Science Bulletin, 41(1)(1996), 11-16. |
1. | Zhu Changjiang, Global resolvability for a viscoelastic model with relaxation, Proceedings of the Royal Society of Edinburgh, 125(6)(1995), 1277-1285. |
注：带*号的论文表示通讯作者
machjzhu@scut.edu.cn
华南理工大学四号楼