廖勇凯

男，特任教授，硕士研究生导师。2018年6月博士毕业于武汉大学，2018年7月-2020年7月于北京应用物理与计算数学研究所做博士后研究。2020年9月入职中国地质大学（武汉），现为国际银河线路检查中心特任教授。主要研究领域为非线性偏微分方程及辐射流体力学。目前已在《SIAM Journal on Mathematical Analysis》，《Journal of Differential Equations》，《Mathematical Models and Method in Applied Sciences》等国际学术期刊发表SCI论文十余篇。

主持科研项目

1、国家自然科学基金青年项目，项目编号：12101579， 项目名称：电离气体动力学方程组的数学理论，2022年01月至2024年12月

2、湖北省自然科学基金青年项目，项目编号：2021CFB022， 项目名称：可压缩粘性辐射流体力学方程组的平衡态与非平衡态扩散极限，2021年10月至2023年9月

3、国防科技重点实验室青年基金，项目编号：6142A05Q2020-001， 项目名称：可压缩无粘辐射流体力学方程组的奇异极限问题，2021年01月至2022年12月

4、中国博士后创新人才支持计划，项目编号：BX20180054， 项目名称：可压缩辐射反应气体方程组的一些数学理论，2018年07月至2020年07月

发表学术论文

1、Yongkai Liao and Huijiang Zhao, Global solutions to one-dimensional equations for a self-gravitating viscous radiative and reactive gas with density-dependent viscosity. Communications in Mathematical Sciences, 15 (2017), no. 5, 1423-1456.

2、Bingkang Huang and Yongkai Liao, Global stability of combination of viscous contact wave with rarefaction wave for compressible Navier-Stokes equations with temperature-dependent viscosity. Mathematical Models and Methods in Applied Sciences 27 (2017), no. 12, 2321-2379.

3、Yongkai Liao and Huijiang Zhao, Global existence and large-time behavior of solutions to the Cauchy problem of one-dimensional viscous radiative and reactive gas. Journal of Differential Equations 265 (2018), no. 5, 2076-2120.

4、Yongkai Liao and Shuoxi Zhang, Global solutions to the one-dimensional compressible Navier-Stokes equation with radiation. Journal of Mathematical Analysis and Applications 461(2018), no. 2, 1009-1052.

5、Lin He, Yongkai Liao, Tao Wang and Huijiang Zhao, One-dimensional viscous radiative gas with temperature dependent viscosity. ( In Memory of Professor Xiaqi Ding) Acta Mathematica Scientia (Series B) 38 (2018), no. 5, 1515-1548.

6、Yongkai Liao, Tao Wang and Huijiang Zhao, Global spherically symmetric flows for a viscous radiative and reactive gas in an exterior domain. Journal of Differential Equations 266 (2019), no. 10, 6459-6506.

7、Yongkai Liao, ZhenDong Xu and Huijiang Zhao, Cauchy problem of the one-dimensional compressible viscous radiative and reactive gas with degenerate density dependent viscosity. (Dedicated to Professor Minyou Qi on the occasion of his 90^th birthday) Scientia Sinica Mathematica 49 (2019),1-20.

8、Yongkai Liao, Global stability of rarefaction waves for a viscous radiative and reactive gas with temperature-dependent viscosity. Nonlinear Analysis：Real World Applications 53 (2020), 103056, 39 pp.

9、Yongkai Liao, Remarks on the Cauchy problem of one-dimensional viscous radiative and reactive gas. Acta Mathematica Scientia (Series B) 40 B (2020), no. 4, 1-15.

10、Guiqiong Gong, Lin He and Yongkai Liao, Nonlinear stability of rarefaction waves for a viscous radiative and reactive gas with large initial perturbation. SCIENCE CHINA Mathematics 64 (2021), no. 12, 2637–2666.

11、Song Jiang, Qiangchang Ju and Yongkai Liao, Non equilibrium Diffusion limit of the compressible Euler-P1 approximation radiation model at low Mach number. SIAM Journal on Mathematical Analysis 53 (2021), no. 2, 2491–2522.

12、Yongkai Liao, Huijiang Zhao and Jiawei Zhou, One-dimensional viscous and heat-conducting ionized gas with density-dependent viscosity. SIAM Journal on Mathematical Analysis 53 (2021), no. 5, 5580–5612.

13、Qiangchang Ju and Yongkai Liao, Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics. Communications in Mathematical Sciences 20 (2022), no. 6, 1637–1657.

14、Yongkai Liao and Huijiang Zhao, Asymptotic behavior of solutions of initial-boundary value problems for 1D viscous and heat-conducting ionized gas. Journal of Differential Equations 343 (2023), 419–466.

教授课程

本科生课程：拓扑学、运筹学、概率论与数理统计

研究生课程：应用偏微分方程

联系方式

Email:liaoyongkai@126.com

地址

湖北省武汉市洪山区鲁磨路388号中国地质大学东区教学综合楼A座1607