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个人简介

教育背景 2006.09---2010.07 山东大学数学学院 理学学士 (数学与应用数学) 2013.09---2017.11 北京航空航天大学数学科学学院 理学博士 (应用数学) 导师: 王进良教授, 周渊 教授 2017.02---2017.05 美国加州大学尔湾分校 短期学术访问 合作导师: 虞一峰 教授 工作经历 2017.10---2019.09 北京大学数学科学学院 博士后 合作导师: 章志飞 教授 2019.09---至今 北京理工大学数学与统计学院 预聘助理教授

研究领域

变分学与偏微分方程 1. 与无穷变分、p-变分相关的完全非线性椭圆方程的适定性理论 2. 一些流体力学方程的适定性理论

近期论文

查看导师最新文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

Q. Miao, F. Peng, Y. Zhou, A Quantitative Sobolev Regularity for Absolute Minimizers Involving Hamiltonian H(p) in Plane. SIAM J. Math. Anal., 54 (2022), no. 6, 5792--5853. D. Chae, Q. Miao, L. Xue, Global regularity of nondiffusive temperature fronts for the two-dimensional viscous Boussinesq system. SIAM J. Math. Anal. 54 (2022), no. 4, 4043--4103. Q. Miao, C. Tan, L. Xue, Global regularity for a 1D Euler-alignment system with misalignment. Mathematical Models and Methods in Applied Sciences, 31 (2021), no. 3, 473--524. F. Peng, Q. Miao, Y. Zhou, Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian H(p)\in C^{1,1}(R^n) with n>=3. Journal of Functional Analysis, 280 (2021), Art. 108829. G. Lu, Q. Miao, Y. Zhou, Viscosity solutions to inhomogeneous Aronsson's equations involving Hamiltonians . Calculus of Variations and Partial Differential Equations, 58 (2019), no. 1, Art. 8, 37pp. Q. Miao, L. Xue, On the Holder regularity of the weak solution to a drift-diffusion equation with pressure. Calculus of Variations and Partial Differential Equations, 57 (2018), no. 6, Art. 153, 33pp. Q. Miao, C. Wang, Y. Zhou, Uniqueness of absolute minimizers for L^\infty-functionals involving Hamiltonians H(x,p). Archive for Rational Mechanics and Analysis, 223 (2017), no. 1, 141--198.

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