Michael
Professor Supervisor of Doctorate Candidates Supervisor of Master's Candidates
Gender:Male
Alma Mater:Chinese Academy of Sciences
Degree:Doctoral Degree
School/Department:School of Mathematical Sciences
Discipline:Pure Mathematics. Applied Mathematics
E-Mail:wendong@dlut.edu.cn
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Indexed by:期刊论文
Date of Publication:2017-01-01
Journal:SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Included Journals:SCIE、EI
Volume:49
Issue:6
Page Number:5134-5157
ISSN No.:0036-1410
Key Words:Landau-Lifshitzequation; Oseen-Frankenergy; globalweaksolution
Abstract:We investigate the general Oseen--Frank energy for the Landau--Lifshitz equation of the ferromagnetic spin chain from R-2 to the unit sphere S-2. Our main results are global existence and uniqueness of weak solutions for large energy initial data. Moreover, the number of singular points for weak solutions is proved to be finite.
Tao, Tao; Wang, Wendong; Zhang, Zhifei; Zero-Viscosity Limit of the Navier–Stokes Equations with the Navier Friction Boundary Condition. SIAM J. Math. Anal. 52 (2020), no. 2, 1040–1095.
Seregin, G.; Wang, W. 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
Wang, Wendong; Wang, Yuzhao Liouville-type theorems for the stationary MHD equations in 2D. Nonlinearity 32 (2019), no. 11, 4483–4505.
Wang, Wendong Remarks on Liouville type theorems for the 3D steady axially symmetric Navier-Stokes equations. J. Differential Equations 266 (2019), no. 10, 6507–6524.
Liu, Jitao; Wang, Wendong Boundary regularity criteria for the 6D steady Navier-Stokes and MHD equations. J. Differential Equations 264 (2018), no. 3, 2351–2376.
Pu, Xueke; Wang, Meng; Wang, Wendong The Landau-Lifshitz equation of the ferromagnetic spin chain and Oseen-Frank flow. SIAM J. Math. Anal. 49 (2017), no. 6, 5134–5157.
Wang, Meng; Wang, Wendong; Zhang, Zhifei From the Q-tensor flow for the liquid crystal to the harmonic map flow. Arch. Ration. Mech. Anal. 225 (2017), no. 2, 663–683.
Wang, WenDong; Zhang, ZhiFei Blow-up of critical norms for the 3-D Navier-Stokes equations. Sci. China Math. 60 (2017), no. 4, 637–650.
Wang, Wendong; Wei, Dongyi; Zhang, Zhifei Energy identity for approximate harmonic maps from surfaces to general targets. J. Funct. Anal. 272 (2017), no. 2, 776–803.
Wang, Meng; Wang, Wendong; Zhang, Zhifei 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.
Wu, Jie; Wang, Wendong On backward uniqueness for the heat operator in cones. J. Differential Equations 258 (2015), no. 1, 224–241.
Wang, Meng; Wang, Wendong Global existence of weak solution for the 2-D Ericksen-Leslie system. Calc. Var. Partial Differential Equations 51 (2014), no. 3-4, 915–962.
Wang, Wendong; Zhang, Zhifei On the interior regularity criteria and the number of singular points to the Navier-Stokes equations. J. Anal. Math. 123 (2014), 139–170.
Wang, Wendong; Zhang, Zhifei On the interior regularity criteria for suitable weak solutions of the magnetohydrodynamics equations. SIAM J. Math. Anal. 45 (2013), no. 5, 2666–2677.
Wang, Wendong; Zhang, Zhifei Limiting case for the regularity criterion to the 3-D magneto-hydrodynamics equations. J. Differential Equations 252 (2012), no. 10, 5751–5762.
Wang, WenDong; Zhang, LiQun The
