• 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
• Administrative Position:数学科学学院副院长
• Discipline:数学
• Business Address:浙江师范大学21幢连廊205
• Contact Information:jzhong@zjnu.cn
• E-Mail:3d2915011e2c51244d5e2926739c63e61a0dfb65a37e309dcf8d3f2b86d3feea05fac3a90160899ce948676f9a2f3b4133816da9a9b7d2c538fb5c1529641b14d0873447c9d27999076e507722b58aa44f261e9d3735226bf1f0c5d4a7601eecbe9fa66bf8de6f9b6709a46bb989c091333a84e4fa58e3baea6fa4bb76fd7903

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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：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、微分方程续论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，已结题，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，已结题，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，已结题，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. Navier-Stokes方程非轴对称齐次解的存在性与奇性 分析，12271276, 国家自然科学基金委面上项目 2023-01-01 至 2026-12-31, 47万元, 在研, 参加7. 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.8. 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.9. 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.10. 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.科研论文1. Jiang, Zaihong; Wang, Yong; Xiong, Hang Global well-posedness of Vlasov-Poisson-Boltzmann equations with neutral initial data and small relative entropy J. Differential Equations 468 (2026), Paper No. 114331, 88 pp. 2. Zhu, Mingxuan; Qiao, Zhijun; Wang, Zhidong; Jiang, Zaihong Rogue peakon, posedness and blow-up phenomenon for an integrable Camassa-Holm type equation Adv. Nonlinear Anal. 15 (2026), no. 1, Paper No. 20250139, 21 pp. 3. Wang, Yi; Li, Li; Jiang, Zaihong Existence of solutions to Dirichlet boundary value problems of the stationary relativistic Boltzmann equation Nonlinearity 38 (2025), no. 5, Paper No. 055020, 46 pp. 4. Yang, Guiyu; Zhang, Jingjun; Jiang, Zaihong On the convergence of the solution for a reduced model of the vectorial quantum Zakharov system J. Math. Phys. 65 (2024), no. 5, Paper No. 051507, 15 pp. 5. Zhang, Qingning; Li, Li; Jiang, Zaihong; Lu, Qing Some properties for the fifth-order Camassa-Holm type equation Math. Methods Appl. Sci. 47 (2024), no. 6, 5266–5285. 6. Dong, Yu; Jiang, Zaihong; Li, Li Existence of weak solutions to the BGK equation and an approximate conservation laws with large initial data J. Appl. Anal. Comput. 14 (2024), no. 1, 162–181. 7. 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. 8. Huang, Fei-min; Jiang, Zaihong; 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. 9. 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. 10. 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. 11. 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. 12. 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. 13. 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. 14. 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. 15. 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. 16. 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. 17. 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. 18. 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. 19. 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. 20. 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. 21. Ma, Caochuan; Jiang, Zaihong; Zhu, Mingxuan Scaling invariant regularity criteria for the Navier-Stokes-Maxwell system. Appl. Math. Lett. 76 (2018), 130–134. 22. 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. 23. Jiang, Zaihong; Liu, Baixin; Ma, Caochuan Local existence of strong solutions to the generalized Boussinesq equations. Appl. Anal. 96 (2017), no. 4, 714–720. 24. 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. 25. 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. 26. 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. 27. 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. 28. Jiang, Zaihong; Fan, Jishan Time decay rate for two 3D magnetohydrodynamics-α models. Math. Methods Appl. Sci. 37 (2014), no. 6, 838–845. 29. Jin, Yanyi; Jiang, Zaihong Wave breaking of an integrable Camassa-Holm system with two components. Nonlinear Anal. 95 (2014), 107–116. 30. 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. 31. Jia, Xuanji; Jiang, Zaihong An anisotropic regularity criterion for the 3D Navier-Stokes equations. Commun. Pure Appl. Anal. 12 (2013), no. 3, 1299–1306. 32. 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. 33. Jiang, Zaihong; Ni, Lidiao; Zhou, Yong Wave breaking of the Camassa-Holm equation. J. Nonlinear Sci. 22 (2012), no. 2, 235–245. 34. 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. 35. Wang, Ying; Jiang, Zaihong The specular reflective boundary problem for the Boltzmann equation with soft potentials. Nonlinear Anal. 75 (2012), no. 2, 786–805. 36. 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. 37. Jiang, Zaihong; Ni, Lidiao Blow-up phenomenon for the integrable Novikov equation. J. Math. Anal. Appl. 385 (2012), no. 1, 551–558. 38. Jiang, Zaihong; Fan, Jishan Vanishing heat conductivity limit for the 2D Cahn-Hilliard-Boussinesq system. Bound. Value Probl. 2011, 2011:54, 6 pp. 39. 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) 40. 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. 41. Jiang, Zaihong; Wang, Ying Decay estimation in nonlinear hyperbolic system of conservation laws. J. Math. Anal. Appl. 377 (2011), no. 2, 863–873. 42. Ying, Wang; Jiang, Zaihong Optimal time decay of the Boltzmann equation with frictional force. J. Math. Anal. Appl. 374 (2011), no. 2, 499–515. 43. 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. 44. 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. 45. Jiang, Zaihong; Yang, Tong A new nonlinear functional for general scalar conservation laws. J. Differential Equations 246 (2009), no. 11, 4284–4308.

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