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基本信息:
赵小奎, 讲师,厦门大学与美国俄克拉何马州立大学联合培养博士,中共党员。主要研究方向为应用偏微分方程。美国数学评论评论员。曾获河南省科学技术奖。
教学情况:
本科生:《高等数学》、《线性代数》等。
研究生:《应用数理统计》等。
研究领域:
Navier-Stokes方程及磁流体力学(MHD)方程组解的适定性、长时间行为、磁扩散极限及磁边界层理论等。
科研项目:
1.国家自然科学基金项目,12101200,磁流体力学的若干数学问题,2022/01-2024/12,30万,主持
参与项目:国家自然科学基金项目2项。
代表论文:
1. Yang, Wanrong; Zhao, Xiaokui*. Global well-posedness and asymptotics of full compressible non-resistive magnetohydrodynamics system with large external potential forces. Math. Methods Appl. Sci. 45 (2022), no. 1, 206–237.
2. Sun, Ying; Zhang, Jianwen; Zhao, Xiaokui*. Nonlinearly exponential stability for the compressible Navier-Stokes equations with temperature-dependent transport coefficients. J. Differential Equations 286 (2021), 676–709.
3. Si, Xin; Zhao, Xiaokui*. Large time behavior of strong solutions to the 1D non-resistive full compressible MHD system with large initial data. Z. Angew. Math. Phys. 70 (2019), no. 1, Paper No. 21, 24 pp.
4. Su, Shibin; Zhao, Xiaokui*. Global wellposedness of magnetohydrodynamics system with temperature-dependent viscosity. Acta Math. Sci. Ser. B (Engl. Ed.) 38 (2018), no. 3, 898–914.
5. Si, Xin; Zhao, Xiaokui*. An initial boundary value problem for screw pinches in plasma physics with temperature dependent viscosity coefficients. J. Math. Anal. Appl. 461 (2018), no. 1, 273–303.
6. Zhao, Xiaokui*. Global wellposedness of magnetohydrodynamics for Boussinesq system with partial viscosity and zero magnetic diffusion. J. Math. Anal. Appl. 461 (2018), no. 1, 97–127.
7. Yuan, Baoquan*; Zhao, Xiaokui. Blow-up of smooth solution to the isentropic compressible Navier-Stokes-Poisson system with compact density. Acta Appl. Math. 153 (2018), 189–195.
8. Zhang, Jianwen*; Zhao, Xiaokui. On the global solvability and the non-resistive limit of the one-dimensional compressible heat-conductive MHD equations. J. Math. Phys. 58 (2017), no. 3, 031504, 17 pp.
9. Yuan, Baoquan*; Zhao, Xiaokui. Blow-up criteria for the 2D full compressible MHD system. Appl. Anal. 93 (2014), no. 7, 1339–1357.
10. Yuan, Baoquan*; Zhao, Xiaokui. Blowup of smooth solutions to the full compressible MHD system with compact density. Kinet. Relat. Models 7 (2014), no. 1, 195–203.