教育背景
2005.9 - 2010.6 中科院研究生院 数学 博士
2001.9 - 2005.6 吉林大学 数学 学士
工作经历
2014.12 - 至今 大连理工大学数学科学学院 副教授
2012.6 - 2014.12 大连理工大学数学科学学院 讲师
2010.7 - 2012.6 北京大学数学科学学院 讲师
项目课题经历
主持&参与项目:
3、液晶的Oseen-Frank理论及其相关的数学问题,11671067,国家自然科学基金面上项目,2017-01至2020-12,48
2、等离子体物理中的非局部偏微分方程理论及方法的研究,11571057,国家自然科学基金面上项目,2016-01至2019-12,参与
1、关于三维Navier-Stokes方程的弱解在第一奇性假设下的正则性研究,11301048,国家自然科学基金青年基金项目, 2014-01至2016-12,23
论文、成果、著作等
著作&论文:
34. Scaling invariant Serrin criterion via one velocity component for the Navier-Stokes equations, arXiv:2005.11906 (With D. Wu, Z. Zhang)
33. Asymptotic behavior of the steady Navier-Stokes flow in the exterior domain, J. Differential Equations. (With Y. Men, L. Zhao)
32. Asymptotic properties of the plane shear thickening fluids with bounded energy integral, J. Math. Fluid Mech. (With S. Li, T. Wang)
31. Unified blow-up criteria for abstract dynamical systems and the applications to liquid crystals. preprint. (With J. Li, M. Wang)
30. Blow-up criteria for the 3D liquid crystal flows involving two velocity components. Appl. Math. Lett. 96 (2019), 75–80.(With L. Zhao, S. Wang)
29. Stability of the Couette flow under the 2D steady Navier-Stokes flow, arXiv:1905.08014.
28. Liouville type theorems for the planer stationary MHD equations with growth at infinity, arXiv:1903.05989.
27. Local well-posedness for linearized degenerate MHD boundary layer equations in analytic setting, Acta Math. Sin. (Engl. Ser.) 35 (2019), no. 8, 1402–1418.(With Y. Li)
26、Liouville-type theorems for the stationary MHD equations in 2D, Nonlinearity 32 (2019), no. 11, 4483–4505. (With Y. Wang)
25、Partial regularity to the Landau-Lifshitz equation with spin accumulation, J. Differential Equations 268 (2020), no. 2, 707–737. (With X. Pu)
24、Zero-viscosity limit of the Navier-Stokes equations with the Navier friction boundary condition, SIAM J. Math. Anal. 52 (2020), no. 2,1040–1095. (With T. Tao, Z. Zhang)
23、Remarks on Liouville type theorems for the 3D steady axially symmetric Navier-Stokes equations,J. Differential Equations 266 (2019), no. 10, 6507–6524.
22、Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations, Algebra i Analiz
31
(2019), no. 2, 269–278; reprinted in St. Petersburg Math. J.
31
(2020), no. 2, 387–393. (With G. Seregin)
21、Endpoint regularity criterion for weak solutions of the 3d incompressible liquid crystals system, Math. Methods Appl. Sci. 41 (2018),no. 10, 3672–3683.(With *Y. Men, G. Wu)
20、Partial regularity of the 3-D inhomogeneous Navier-Stokes equations (in Chinese). Sci Sin Math, 2018, 48: 227-244. (With T. Tao, *Z. Zhang)
19、$C^{alpha}$ regularity of weak solutions of non-homogenous ultraparabolic equations with drift terms, arXiv:1704.05323 (*With L. Zhang)
18、On the interior regularity criteria of the 3-D Navier-Stokes equations involving two velocity components, Discrete Contin. Dyn. Syst. 38(2018), no. 5, 2609–2627.(*With L. Zhang, Z. Zhang)
17、Boundary regularity criteria for the 6D steady Navier-Stokes and MHD equations. J. Differential Equations 264 (2018), no. 3, 2351–2376. (*With J. Liu)
16、The Landau–Lifshitz Equation of the Ferromagnetic Spin Chain and Oseen-Frank Flow. SIAM J. Math. Anal. 49 (2017), no. 6, 5134–5157. (*With X. Pu, M. Wang)
15、From the Q-tensor flow for the liquid crystal to the Harmonic map flow,Arch. Ration. Mech. Anal. 225 (2017), no. 2, 663–683. (*With M. Wang, Z. Zhang)
14、Non blow-up criterion for the 3-D Magneto-hydrodynamics equations in the limiting case, Acta Math. Sin. (Engl. Ser.) 33 (2017), no. 7, 969–980. *
13、Blow-up of critical norms for the 3-D Navier-Stokes equations,Sci. China Math. 60 (2017), no. 4, 637–650. (*With Z. Zhang)
12、Energy identity for approximate harmonic maps from surfaces to general targets. J. Funct. Anal. 272 (2017), no. 2, 776–803. (With D. Wei, *Z. Zhang)
11、On the uniqueness of weak solution for the 2-D Ericksen–Leslie system, Discrete Contin. Dyn. Syst. Ser. B 21 (2016), no. 3, 919–941. (With M. Wang, *Z. Zhang)
10、On backward uniqueness for the heat operator in cones, J. Differential Equations 258 (2015), no. 1, 224–241. (With J. Wu)
9、 Global existence of weak solution for the 2-D Ericksen-Leslie system, Calc. Var. Partial Differential Equations 51 (2014), no. 3-4, 915–962. (With M. Wang)
8、On the interior regularity criteria and the number of singular points to the Navier-Stokes equations, J. Anal. Math. 123 (2014), 139–170. Journal d'Analyse Mathématique, 123 (2014), 139-170. (With Z. Zhang)
7、On the interior regularity criteria for suitable weak solutions of the magnetohydrodynamics equations. SIAM J. Math. Anal. 45 (2013), no. 5, 2666–2677. (With Z. Zhang)
6、Backward uniqueness of Kolmogorov operators. Methods Appl. Anal. 20 (2013), no. 1, 79–88. (*With L. Zhang)1
5、Regularity of weak solutions for the Navier-Stokes equations in the class $L^infty({rm BMO}^{-1})$. Commun. Contemp. Math. 14 (2012), no. 3, 1250020, 24 pp. 35Q30 (35B65) (With Z. Zhang)
4、Limiting case for the regularity criterion to the 3-D magneto-hydrodynamics equations. J. Differential Equations 252 (2012), no. 10, 5751–5762. (With Z. Zhang)
3、The C^alpha regularity of weak solutions of ultraparabolic equations. Discrete Contin. Dyn. Syst. 29 (2011), no. 3, 1261–1275. (*With L. Zhang)
2、The C^alpha regularity of a class of non-homogeneous ultraparabolic equations. Sci. China Ser. A 52 (2009), no. 8, 1589–1606. (*With L. Zhang)
1、The Holder continuity of a class of 3-dimension ultraparabolic equations. Acta Math. Sci. Ser. B (Engl. Ed.) 29 (2009), no. 3, 527–538. (*With L. Zhang)
专利、著作版权等
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