Personal information
  • Gender:Female
  • Education Level:Graduate student graduate
  • Alma Mater:中国科学技术大学
  • Degree:Doctorate
  • Status:在岗
  • School/Department:数学科学学院
  • Date of Employment:2010-08-23
  • Discipline:Mathematics and Applied Mathematics
  • Business Address:浙江师范大学桃源3幢415
  • Contact Information:jzhong@zjnu.cn
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Personal Profile

姜在红博士,女,汉族,中共党员,浙江师范大学, 数学科学学院应用数学系, 教授,博导。主讲课程主讲本科课程:高等数学、解析几何、数学分析主讲研究生课程:偏微分方程、双曲守恒律基础、动理学方程基础学术兴趣及主要研究方向物理、力学中的偏微分方程,特别是流体力学方程及动理学方程。近期的研究主要有:一些动理学模型的大扰动解的适定性、动理学方程初边值问题以及浅水波方程解的大时间性态.科研项目 1.几类动理学方程及相应宏观模型解的性态,12071439,国家自然科学基金委面上项目,2021.01-2024.12,51万,在研,主持.2. 流体力学-动理学耦合方程组的渐近行为,LY19A010016,浙江省自然科学基金一般项目,2019.01-2021.12,6万,在研,主持.3. 流体力学中的非线性偏微分方程及相关领域的研究进展,S20A010004,浙江省学术交流项目,2020.03-2021.03,5万,在研主持.4. Boltzmann方程解渐近性态的若干研究,LY15A010009,浙江省自然科学基金一般项目,2015.01-2017.12,6万,已结题,主持.5. 两类动力学方程数学理论的一些研究,11101376, 国家自然科学基金委员会,青年科学基金项目,2012.01-2014.12,22万元,已结题,主持.6. 几类动理学方程的解的性态研究, 11671309,国家自然科学基金委面上项目,2017.01-2020.12,48万(浙师大到账9.6万),已结题,参加.7. 几类非典型薛定谔方程的变分方法研究,11671364,国家自然科学基金委面上项目,2017.01-2020.12,48万,已结题,参加.8. 可压缩Navier-Stokes方程的一些研究,11171154,国家自然科学基金委员会,面上项目,2012.01-2015.12,45万元,已结题,参加.9. 非局域作用下非线性薛定谔方程解的分类,11971436,国家自然科学基金委员会,国际合作交流项目, 2020.07-2022.06,10万元,在研,参加.发表论文和著作1. Zhu, Mingxuan; Jiang, Zaihong The Cauchy problem for the Camassa-Holm-Novikov equation. Acta Math. Sci. Ser. B (Engl. Ed.) 43 (2023), no. 2, 736–750.2. Huang, Fei-min; Jiang, Zai-hong; Wang, Yong Boundary layer solution of the Boltzmann equation for specular boundary condition Acta Math. Appl. Sin. Engl. Ser. 39 (2023), no. 1, 65–94.3. Zhu, Mingxuan; Jiang, Zaihong; Qiao, Zhijun Analytical properties for the fifth-order b-family Novikov model. J. Evol. Equ. 22 (2022), no. 1, Paper No. 19, 22 pp.4. Zhu, Mingxuan; Jiang, Zaihong; Qiao, Zhijun Persistence property and infinite propagation speed for the b -family of Fokas-Olver-Rosenau-Qiao ( b FORQ) model. Appl. Math. Lett. 124 (2022), Paper No. 107652, 8 pp.5. Jiang, Zaihong; Ma, Caochuan; Zhou, Yong* Commutator estimates with fractional derivatives and local existence for the generalized MHD equations. Z. Angew. Math. Phys. 72 (2021), no. 3, Paper No. 111, 13 pp. 6. 2. Jiang, Zaihong; Zhang, Qingning; Zhu, Mingxuan* Global existence and long time behavior of the generalized Camassa-Holm equation with k+1 degree nonlinearities. J. Math. Phys. 62 (2021), no. 5, Paper No. 051504, 11 pp. 7. Cao, Lu; Jiang, Zaihong*; Zhu, Mingxuan Large time behavior for the support of momentum density of the Holm-Staley b-family equation with weakly dissipative term. Nonlinear Anal. Real World Appl. 53 (2020), 103069, 12 pp.8. Jiang, Zaihong; Cao, Lu; Zou, Rong* Global regularity of n dimensional generalized MHD equations without magnetic diffusion. Appl. Math. Lett. 101 (2020), 106065, 7 pp. 9. Jiang, Zaihong; Zhu, Mingxuan* Asymptotic behavior, regularity criterion and global existence for the generalized Navier-Stokes equations. Bull. Malays. Math. Sci. Soc. 42 (2019), no. 3, 1085–1100. 10. Li, Li; Jiang, Zaihong*; Cai, Xinliang Solutions for stationary Navier-Stokes equations with non-homogeneous boundary conditions in symmetric domains of ℝn. J. Math. Anal. Appl. 469 (2019), no. 1, 1–15. 11. Jiang, Zaihong; Zhang, Shuyun; Zhu, Mingxuan* Global regularity for the Navier-Stokes-Maxwell system with fractional diffusion. Math. Phys. Anal. Geom. 21 (2018), no. 3, Paper No. 17, 13 pp. 12. Jiang, Zaihong*; Geng, Jinbo; Li, Li; Zhong, Ning Asymptotic stability of a fluid-particles interaction model with external forces. J. Math. Phys. 59 (2018), no. 1, 011511, 15 pp. 13. Jiang, Zaihong; Li, Li*; Zhong, Ning The Cauchy problem of a fluid-particle interaction model with external forces. Math. Methods Appl. Sci. 41 (2018), no. 1, 212–233. 14. Jiang, Zaihong; Zhu, Mingxuan* Regularity criteria for the 3D generalized MHD and Hall-MHD systems. Bull. Malays. Math. Sci. Soc. 41 (2018), no. 1, 105–122. 15. Ma, Caochuan; Jiang, Zaihong; Zhu, Mingxuan* Scaling invariant regularity criteria for the Navier-Stokes-Maxwell system. Appl. Math. Lett. 76 (2018), 130–134. 16. Ma, Caochuan; Jiang, Zaihong; Zhu, Mingxuan* Global existence and zero α limit of the 3D incompressible two-fluid MHD equations. Math. Methods Appl. Sci. 40 (2017), no. 16, 5760–5767.17. Jiang, Zaihong*; Liu, Baixin; Ma, Caochuan Local existence of strong solutions to the generalized Boussinesq equations. Appl. Anal. 96 (2017), no. 4, 714–720. 18. Ma, Caochuan; Jiang, Zaihong*; Wan, Renhui Local well-posedness for the tropical climate model with fractional velocity diffusion. Kinet. Relat. Models 9 (2016), no. 3, 551–570. 19. Jiang, Zaihong; Wang, Yanan; Zhou, Yong* On regularity criteria for the 2D generalized MHD system. J. Math. Fluid Mech. 18 (2016), no. 2, 331–341. 20. Wang, Yanan; Zhou, Yong; Alsaedi, Ahmed; Hayat, Tasawar; Jiang, Zaihong* Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions. Appl. Math. Lett. 35 (2014), 18–23. 21. Jiang, Zaihong*; Wang, Ying Global existence and decay estimates of the Boltzmann equation with frictional force: the general results. J. Math. Anal. Appl. 417 (2014), no. 1, 481–503. 22. Jiang, Zaihong*; Fan, Jishan Time decay rate for two 3D magnetohydrodynamics-α models. Math. Methods Appl. Sci. 37 (2014), no. 6, 838–845. 23. Jin, Yanyi; Jiang, Zaihong* Wave breaking of an integrable Camassa-Holm system with two components. Nonlinear Anal. 95 (2014), 107–116. 24. Jiang, Zaihong; Zhou, Yong*; Zhu, Mingxuan Large time behavior for the support of momentum density of the Camassa-Holm equation. J. Math. Phys. 54 (2013), no. 8, 081503, 7 pp.25. Jia, Xuanji; Jiang, Zaihong* An anisotropic regularity criterion for the 3D Navier-Stokes equations. Commun. Pure Appl. Anal. 12 (2013), no. 3, 1299–1306. 26. Jiang, Zaihong* Asymptotic behavior of strong solutions to the 3D Navier-Stokes equations with a nonlinear damping term. Nonlinear Anal. 75 (2012), no. 13, 5002–5009. 27. Jiang, Zaihong; Ni, Lidiao; Zhou, Yong* Wave breaking of the Camassa-Holm equation. J. Nonlinear Sci. 22 (2012), no. 2, 235–245.28. Jiang, Zaihong; Zhu, Mingxuan The large time behavior of solutions to 3D Navier-Stokes equations with nonlinear damping. Math. Methods Appl. Sci. 35 (2012), no. 1, 97–102.29. Wang, Ying; Jiang, Zaihong* The specular reflective boundary problem for the Boltzmann equation with soft potentials. Nonlinear Anal. 75 (2012), no. 2, 786–805. 30. Zhu, Mingxuan; Jiang, Zaihong Some properties of solutions to the weakly dissipative b-family equation. Nonlinear Anal. Real World Appl. 13 (2012), no. 1, 158–167. 31. Jiang, Zaihong*; Ni, Lidiao Blow-up phenomenon for the integrable Novikov equation. J. Math. Anal. Appl. 385 (2012), no. 1, 551–558. 32. Jiang, Zaihong*; Fan, Jishan Vanishing heat conductivity limit for the 2D Cahn-Hilliard-Boussinesq system. Bound. Value Probl. 2011, 2011:54, 6 pp. 33. Jiang, Zaihong*; Gala, Sadek; Ni, Lidiao On the regularity criterion for the solutions of 3D Navier-Stokes equations in weak multiplier spaces. Math. Methods Appl. Sci. 34 (2011), no. 16, 2060–2064. 35Q30 (35B65)34. Liu, Xuefei; Zhu, Mingxuan; Jiang, Zaihong* On the Cauchy problem for the b-family equations with a strong dispersive term. J. Appl. Math. 2011, Art. ID 513467, 15 pp. 35. Jiang, Zaihong; Wang, Ying Decay estimation in nonlinear hyperbolic system of conservation laws. J. Math. Anal. Appl. 377 (2011), no. 2, 863–873. 36. Ying, Wang; Jiang, Zaihong* Optimal time decay of the Boltzmann equation with frictional force. J. Math. Anal. Appl. 374 (2011), no. 2, 499–515. 37. Hua, Jiale*; Jiang, Zaihong; Yang, Tong A new Glimm functional and convergence rate of Glimm scheme for general systems of hyperbolic conservation laws. Arch. Ration. Mech. Anal. 196 (2010), no. 2, 433–454. 38. Hua, Jiale; Jiang, Zaihong* Decay estimate for a new measure of rarefaction waves in general systems of conservation laws. J. Differential Equations 247 (2009), no. 11, 3100–3116. 39. Jiang, Zaihong; Yang, Tong* A new nonlinear functional for general scalar conservation laws. J. Differential Equations 246 (2009), no. 11, 4284–4308. 科研获奖获奖名称获奖项目名称奖励级别排名获奖时间全国优秀博士学位论文提名论文奖对一般双曲守恒律的一些数学理论的研究省部级1/12012.12中国科学院优秀博士学位论文对一般双曲守恒律的一些数学理论的研究省部级1/12011.12中国科学院朱李月华优秀博士生奖学金省部级1/12010.12

Research Focus
  • .流体偏微分方程
workexperience
  • 浙江师范大学 , 数学与计算机科学学院 , 无 , 教授 , 教授 2022-1-1 ∼ Now
  • 浙江师范大学 , 数学与计算机科学学院 , 无 , 副教授 , 副教授 2013-8-23 ∼ 2021-12-31
  • 浙江师范大学 , 数学与计算机科学学院 , 无 , 讲师 , 讲师 2010-8-23 ∼ 2013-8-23
Education Background
  • 中国科学技术大学 , 基础数学  , Doctorate , Graduate student graduate 2005-9-1 ∼ 2010-7-1
Social Affiliations
  • 浙江师范大学JNMA杂志责编
Research Group

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Doctorate

姜在红
MOBILE Version