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Creators/Authors contains: "Wang, Changyou"

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  1. ; (, Advances in analysis and geometry)
    Accepted Manuscript Full Text Available
  2. ; (, Communications on pure and applied mathematics)
    Accepted Manuscript Full Text Available
  3. ; ; (, Bulletin of the London Mathematical Society)
    Accepted Manuscript Full Text Available
  4. ; ; (, Advances in calculus of variations)
    Accepted Manuscript Full Text Available
  5. ; ; (, Calculus of variations and partial differential equations)
    Accepted Manuscript Full Text Available
  6. ; ; ; (, Communications in Partial Differential Equations)
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  7. ; (, Discrete and continuous dynamical systems)
    We establish the global existence of weak martingale solutions to the simplified stochastic Ericksen–Leslie system modeling the nematic liquid crystal flow driven by Wiener-type noises on the two-dimensional bounded domains. The construction of solutions is based on the convergence of Ginzburg–Landau approximations. To achieve such a convergence, we first utilize the concentration-cancellation method for the Ericksen stress tensor fields based on a Pohozaev type argument, and then the Skorokhod compactness theorem, which is built upon uniform energy estimates. 
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  8. ; ; ; (, Communications in partial differential equations)
    Accepted Manuscript Full Text Available
  9. ; (, International mathematics research notices)
    In this paper, we consider weak solutions of the Euler–Lagrange equation to a variational energy functional modeling the geometrically nonlinear Cosserat micropolar elasticity of continua in dimension three, which is a system coupling between the Poisson equation and the equation of $$p$$-harmonic maps (⁠#2\le p\le 3$$⁠). We show that if a weak solution is stationary, then its singular set is discrete for $2<3$ and has zero one-dimensional Hausdorff measure for $p=2$⁠. If, in addition, it is a stable-stationary weak solution, then it is regular everywhere when $$p\in [2, 32/15]$$. 
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  10. ; ; ; ; (, Communications on pure and applied mathematics)
    We consider the initial boundary value problem of a simplified nematic liquid crystal flow in a bounded, smooth domain $$\Omega\subset\mathbb R^2$$. Given any k distinct points in the domain, we develop a new inner-outer gluing method to construct solutions that blow up exactly at those k points as t goes to a finite time T. Moreover, we obtain a precise description of the blowup 
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