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ANALYTIC CYCLES,BOTT-CHERN FORMS,AND SINGULAR SETS FOR THE YANG-MILLS FLOW ON KAHLER MANIFOLDS
BOTT-CHERN FORMS SINGULAR SETS YANG-MILLS FLOW KAHLER MANIFOLDS
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2015/12/17
It is shown that the singular set for the Yang-Mills flow on unstable holomorphic vector bundles over compact K¨ahler manifolds is completely determined by the Harder-NarasimhanSeshadri filtration of ...
On the blow-up set of the Yang–Mills flow on Kahler surfaces
blow-up set Yang–Mills flow Kahler surfaces
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2015/12/17
The Yang–Mills flow on a Kahler surface with holomorphic initial data converges smoothly away from a singular set determined by the Harder–Narasimhan–Seshadri filtration of the initial holomorphic bun...
Orbit equivalence,flow equivalence and ordered cohomology
Orbit equivalence flow equivalence ordered cohomology
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2015/9/29
We study self-homeomorphisms of zero dimensional metrizable compact Hausdorff spaces by means of the ordered first cohomology group, particularly in the light of the recent work of Giordano, Putnam, a...
EQUIVARIANT FLOW EQUIVALENCE FOR SHIFTS OF FINITE TYPE,BY MATRIX EQUIVALENCE OVER GROUP RINGS
EQUIVARIANT FLOW EQUIVALENCE SHIFTS OF FINITE TYPE MATRIX EQUIVALENCE OVER GROUP RINGS
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2015/9/29
Let G be a finite group. We classify G-equivariant flow equivalence of nontrivial irreducible shifts of finite type interms of (i) elementary equivalence of matrices over ZG and (ii) the conjugacy cla...
DIFFERENTIAL HARNACK ESTIMATES FOR BACKWARD HEAT EQUATIONS WITH POTENTIALS UNDER THE RICCI FLOW
HARNACK ESTIMATES WITH POTENTIALS UNDER THE RICCI FLOW
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2015/8/17
In this paper, we derive a general evolution formula for possible Harnack quantities. As a consequence, we prove several differential Harnack inequalities
for positive solutions of backward hea...
Diffusion and mixing in fluid flow
Diffusion mixing in fluid flow
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2014/4/4
We study enhancement of di®usive mixing on a compact Riemannian manifold by a fast incompressible °ow. Our main result is a sharp description of the class of °ows that make the deviation of the s...
Multiple-access Network Information-flow and Correction Codes
Multiple-access Network Information-flow Correction Codes
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2011/1/17
This work considers the multiple-access multicast error-correction scenario over a packetized network with z malicious edge adversaries.
Kähler Ricci flow with vanished Futaki invariant
Kä hler Ricci Futaki invariant
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2010/11/24
We study the convergence of the K\"ahler-Ricci flow on a compact K\"ahler manifold $(M,J)$ with positive first Chern class $c_1(M;J)$ and vanished Futaki invariant on $\pi c_1(M;J)$. As the applicati...
Symmetry analysis and exact solutions of semilinear heat flow in multi-dimensions
Symmetry analysis exact solutions semilinear heat flow in multi-dimensions
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2010/11/24
A symmetry group method is used to obtain exact solutions for a semilinear radial heat equation in $n>1$ dimensions with a general power nonlinearity. The method involves an ansatz technique to solve...
Generalized $1$-harmonic Equation and The Inverse Mean Curvature Flow
Generalized $1$-harmonic Equation The Inverse Mean Curvature Flow
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2010/11/19
We introduce and study generalized $1$-harmonic equations (1.1). Using some ideas and techniques in studying $1$-harmonic functions from [W1] (2007), and in studying nonhomogeneous $1$-harmonic funct...
A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities
Lie algebraic Ricci flow invariant curvature conditions Harnack inequalities
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2010/11/22
We consider a subset $S$ of the complex Lie algebra $\so(n,\C)$ and the cone $C(S)$ of curvature operators which are nonnegative on $S$. We show that $C(S)$ defines a Ricci flow invariant curvature co...
hermodynamic formalism for the positive geodesic flow on the modular surface
hermodynamic formalism positive geodesic flow modular surface
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2010/12/10
In this note we study the thermodynamic formalism for the pos-itive geodesic flow on the modular surface. We define the pressure and prove the variational principle. We also establish conditions for t...
Existence of translating solutions to the flow by powers of mean curvature on unbounded domains
Dirichlet problem mean curvature flow elliptic equation unbounded domain.
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2010/12/7
In this paper, we prove the existence of classical solutions of the Dirichlet problem for a class of quasi-linear elliptic equations on unbounded domains like a cone or a U-type domain in Rn(n ≥ 2). T...
r-Matrix Structure for a Restricted Flow with Bargmann Constraint
Poisson bracket Lax representation r-matrix Liouville integrability
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2007/8/15
2005Vol.44No.3pp.393-395DOI:
r-Matrix Structure for a Restricted Flow with Bargmann Constraint
CHEN Jin-Bing and GENG Xian-Guo
Department of Mathematics, Zhengzhou Unive...
Nonlinear dynamics of flow-reaction coupling in porous media and application to in-situ leaching uranium mining
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2007/7/28
期刊信息
篇名
Nonlinear dynamics of flow-reaction coupling in porous media and application to in-situ leaching uranium mining
语种
英文
撰写或编译
作者
谭凯旋,王清良,刘泽华,胡鄂明
第一作者单位
刊物名称
International Journal of Modern Physi...