王焰金(Yanjin Wang)

自强不息 止于至善
个人简历
博士,教授,博士生导师(欢迎申请硕士、博士、博士后)
- 2015.08~#: 厦门大学数学科学学院 教授
- 2013.08~2015.07: 厦门大学数学科学学院 副教授
- 2011.07~2013.07: 厦门大学数学科学学院 助理教授
- 2001.09~2011.06: 厦门大学数学科学学院 学士&博士
- 2009.09~2010.12: Brown University Joint PhD (CSC)
- 2019.10~2020.10: Brown University Visiting Scholar (CSC)
- 2017.01~2018.01: The Chinese University of Hong Kong Senior Research Assistant
- 2013.09~2014.09: The Chinese University of Hong Kong Postdoc Fellow
教学课程
- 2011~2012: 数学分析I、II、III
- 2012~2013: 数学分析I、II
- 2014~2015: 数学分析I、III;偏微分方程
- 2015~2016: 微积分I;偏微分方程(研)
- 2016~2017: 常微分方程
- 2017~2018: 微积分II
- 2018~2019: 偏微分方程
研究兴趣
偏微分方程:
Nonlinear partial differential equations arising from fluid dynamics (e.g. Navier-Stokes equations, Euler equations) and kinetic theory (e.g. Boltzmann equation, Landau equation).
主要论文
- Yanjin Wang and Zhouping Xin. Vanishing viscosity and surface tension limits of incompressible viscous surface waves. SIAM Journal on Mathematical Analysis, 53(1) (2021), 574–648. 75pp. PDF
- Yanjin Wang. Anisotropic decay and global well-posedness of viscous surface waves without surface tension. Advances in Mathematics, 374 (2020), 107330. 54pp. PDF
- Yanjin Wang. Sharp nonlinear stability criterion of viscous non-resistive MHD internal waves in 3D. Archive for Rational Mechanics and Analysis, 231(3) (2019), 1675–1743. 69pp. PDF
- Xumin Gu and Yanjin Wang. On the construction of solutions to the free-surface incompressible ideal magnetohydrodynamic equations. Journal de Mathématiques Pures et Appliquées, 128 (2019), 1–41. 41pp. PDF
- Peng Qu and Yanjin Wang. Global classical solutions to partially dissipative hyperbolic systems violating the Kawashima condition. Journal de Mathématiques Pures et Appliquées, 109 (2018), 93–146. 54pp. PDF
- Zhong Tan and Yanjin Wang. Global well-posedness of an initial-boundary value problem for viscous non-resistive MHD systems. SIAM Journal on Mathematical Analysis, 50(1) (2018), 1432. 39pp. PDF
- Juhi Jang, Ian Tice and Yanjin Wang. The compressible viscous surface-internal wave problem: stability and vanishing surface tension limit. Communications in Mathematical Physics, 343(3) (2016), 1039–1113. 75pp. PDF
- Juhi Jang, Ian Tice and Yanjin Wang. The compressible viscous surface-internal wave problem: nonlinear Rayleigh–Taylor instability. Archive for Rational Mechanics and Analysis, 221(1) (2016), 215–272. 58pp. PDF
- Juhi Jang, Ian Tice and Yanjin Wang. The compressible viscous surface-internal wave problem: local well-posedness. SIAM Journal on Mathematical Analysis, 48(4) (2016), 2. 72pp. PDF
- Zhong Tan and Yanjin Wang. On hyperbolic-dissipative systems of composite type. Journal of Differential Equations, 260(2) (2016), 1091–1125. 35pp.
- Yanjin Wang. The two-species Vlasov–Maxwell–Landau system in R3. Annales de l'Institut Henri Poincaré / Analyse non linéaire, 32(5) (2015), 1099–1123. 25pp.
- Zhong Tan, Yanjin Wang and Yong Wang. Stability of Steady States of the Navier–Stokes–Poisson Equations with Non-Flat Doping Profile. SIAM Journal on Mathematical Analysis, 47(1) (2015), 179–209. 31pp.
- Zhong Tan and Yanjin Wang. Zero surface tension limit of viscous surface waves. Communications in Mathematical Physics, 328(2) (2014), 733–807. 75pp. PDF
- Yanjin Wang, Ian Tice and Chanwoo Kim. The viscous surface-internal wave problem: global well-posedness and decay. Archive for Rational Mechanics and Analysis, 212(1) (2014), 1–92. 92pp. PDF
- Fei Jiang, Song Jiang and Yanjin Wang. On the Rayleigh–Taylor instability for incompressible viscous magnetohydrodynamic equations. Communications in Partial Differential Equations, 39(3)(2014), 399–438. 40pp.
- Zhong Tan, Yanjin Wang and Yong Wang. Decay estimates of solutions to the compressible Euler–Maxwell system in R3. Journal of Differential Equations, 257(8) (2014), 2846–2873. 28pp.
- Yanjin Wang. Decay of the two-species Vlasov–Poisson–Boltzmann system. Journal of Differential Equations, 254(5) (2013), 2304–2340. 37pp.
- Yanjin Wang. Global solution and time decay of the Vlasov–Poisson–Landau system in R3. SIAM Journal on Mathematical Analysis, 44(5) (2012), 3281–3323. 43pp. PDF
- Yan Guo and Yanjin Wang, Decay of dissipative equations and negative Sobolev spaces, Communications in Partial Differential Equations, 37(12) (2012), 2165–2208. 44pp. PDF
- Yanjin Wang and Ian Tice. The viscous surface-internal wave problem: nonlinear Rayleigh–Taylor instability. Communications in Partial Differential Equations, 37(11) (2012), 1967–2028. 62pp. PDF
- Yanjin Wang. Decay of the Navier–Stokes–Poisson equations. Journal of Differential Equations, 253(1) (2012), 273–297. 25pp.
- Yanjin Wang. Critical Magnetic Number in the magnetohydrodynamic Rayleigh–Taylor instability. Journal of Mathematical Physics, 53(7) (2012), 073701. 22pp. PDF
- Yanjin Wang. The diffusive limit of the Vlasov–Boltzmann system for binary fluids. SIAM Journal on Mathematical Analysis, 43(1) (2011), 253–301. 49pp.
- Zhong Tan and Yanjin Wang. Global existence and large-time behavior of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force. Nonlinear Analysis:Theory Methods & Applications, 71(11) (2009), 5866–5884. 19pp.
基金项目
- 主持福建省自然科学基金重点项目,No. 2019J02003
- 主持国家自然科学基金面上项目,No. 11771360
- 参加国家自然科学基金重点项目,No. 11531010
- 主持福建省自然科学杰出青年基金,No. 2015J06001
- 主持高等学校全国优秀博士学位论文作者专项资金,No. 201418
- 主持国家自然科学基金青年项目,No. 11201389
- 主持高等学校博士学科点专项科研基金新教师类项目,No. 20120121120023
- 主持福建省自然科学基金青年项目,No. 2012J05011
主要奖励
- 2013年全国百篇优秀博士学位论文奖
- 2015年福建省高校新世纪优秀人才支持计划
- 2018年厦门大学南强青年拔尖人才支持计划