11 citations · 25 across the 20 of their papers we have counts for
21 papers
Exact convergence rates to derivatives of local time for some self-similar Gaussian processes
Minhao Hong
In this article, for some dimensional Gaussian processes \[X=\big\{X_t=(X^1_t,\cdots,X^d_t):t\ge0\big\},\] whose components are i.i.d. dimensional self-similar Gaussian pro…
Fractional derivatives of local times for some Gaussian processes
Minhao Hong, Qian Yu
In this article, we consider fractional derivatives of local time for dimensional centered Gaussian processes satisfying certain strong local nondeterminism property. We first…
Existence and convergence of the Beris-Edwards system with general Landau-de Gennes energy
Zhewen Feng, Min-Chun Hong, Yu Mei
In this paper, we investigate the Beris-Edwards system for both biaxial and uniaxial -tensors with a general Landau-de Gennes energy density depending on four non-zero elastic c…
Existence of minimizers and convergence of critical points for a new Landau-de Gennes energy functional in nematic liquid crystals
Zhewen Feng, Min-Chun Hong
The Landau-de Gennes energy in nematic liquid crystals depends on four elastic constants , , , . In the case of , Ball and Majumdar (Mol. Cryst. Liq.…
Biconservative hypersurfaces with constant scalar curvature in space forms
Yu Fu, Min-Chun Hong, Dan Yang +1
Biconservative hypersurfaces are hypersurfaces which have conservative stress-energy tensor with respect to the bienergy, containing all minimal and constant mean curvature hypersu…
A new representation for the Landau-de Gennes energy of nematic liquid crystals
Zhewen Feng, Min-Chun Hong
In the Landau-de Gennes theory on nematic liquid crystals, the well-known Landau-de Gennes energy depends on four elastic constants; , , , . For the general cas…
Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system
Zhewen Feng, Min-Chun Hong, Yu Mei
We establish the local well-posedness of the general Ericksen-Leslie system in liquid crystals with the initial velocity and director field in . In particular, we…
Finite time blowup of the -harmonic flow on -manifolds
Leslie Hon-Nam Cheung, Min-Chun Hong
We generalize the no-neck result of Qing-Tian \cite{QT} to show that there is no neck during blowing up for the -harmonic flow as . As an application of the no-neck…
Well-posedness of the Ericksen-Leslie System for the Oseen-Frank Model in L^3_{uloc}(\mathbb{R}^3)
Min-Chun Hong, Yu Mei
We investigate the Ericksen-Leslie system for the Oseen-Frank model with unequal Frank elastic constants in . To generalize the result of Hineman-Wang \cite{HW}, we p…
The gauge fixing theorem with applications to the Yang-Mills flow over Riemannian manifolds
Min-Chun Hong
In 1982, Uhlenbeck \cite {U2} established the well-known gauge fixing theorem, which has played a fundamental role for Yang-Mills theory. In this paper, we apply the idea of Uhlenb…
The rectified n-harmonic map flow with applications to homotopy classes
Min-Chun Hong
We introduce a rectified -harmonic map flow from an n-dimensional closed Riemannian manifold to another closed Riemannian manifold. We prove existence of a global solution, whic…
The energy identity for a sequence of Yang-Mills α-connections
Min-Chun Hong, Lorenz Schabrun
We prove that the Yang-Mills -functional satisfies the Palais-Smale condition. This guarantees the existence of critical points, which are called Yang-Mills -connections. It…
Blow-up criteria of strong solutions to the Ericksen-Leslie system in
Min-Chun Hong, Jinkai Li, Zhouping Xin
In this paper, we establish the local well-posedness and blow-up criteria of strong solutions to the Ericksen-Leslie system in for the well-known Oseen-Frank model. The…
The Yang-Mills α-flow in vector bundles over four manifolds and its applications
Min-Chun Hong, Gang Tian, Hao Yin
In this paper, we introduce an α-flow for the Yang-Mills functional in vector bundles over four dimensional Riemannian manifolds, and establish global existence of a unique smooth…
Global existence of solutions of the Liquid Crystal flow for the Oseen-Frank model
Min-Chun Hong, Zhouping Xin
In the first part of this paper, we establish global existence of solutions of the liquid crystal (gradient) flow for the well-known Oseen-Frank model. The liquid crystal flow is a…
On the Sacks-Uhlenbeck flow of Riemannian surfaces
Min-Chun Hong, Hao Yin
In this paper, we study an -flow for the Sack-Uhlenbeck functional on Riemannian surfaces and prove that the limiting map by the -flows is a weak solution to the harmonic map…
Partial Regularity of a minimizer of the relaxed energy for biharmonic maps
Min-Chun Hong, Hao Yin
In this paper, we study the relaxed energy for biharmonic maps from a -dimensional domain into spheres. By an approximation method, we prove the existence of a minimizer of the…
A new approximation of relaxed energies for harmonic maps and the Faddeev model
Mariano Giaquinta, Min-Chun Hong, Hao Yin
We propose a new approximation for the relaxed energy of the Dirichlet energy and prove that the minimizers of the approximating functionals converge to a minimizer of the…
Global Existence for the Seiberg-Witten Flow
Min-Chun Hong, Lorenz Schabrun
We introduce the gradient flow of the Seiberg-Witten functional on a compact, orientable Riemannian 4-manifold and show the global existence of a unique smooth solution to the flow…
Curvature flow to Nirenberg problem
Li Ma, Minchun Hong
In this note, we study the curvature flow to Nirenberg problem on with non-negative nonlinearity. This flow was introduced by Brendle and Struwe. Our result is that the Niren…
Regularity and relaxed problems of minimizing biharmonic maps into spheres
Min-Chun Hong, Changyou Wang
For and , we show that any minimizing biharmonic map from to is smooth off a closed set whose Hausdorff dimension is at most . When …