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三亚国际数学论坛：全球微分几何（Global Differential Geometry）
三亚国际数学论坛 全球微分几何
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2018/1/11
Differential geometry is one of the most research intensive areas of mathematics in the late twentieth and early twenty-first century. Its current prominence stems in part from its position at a cross...
三亚国际数学论坛：Global Differential Geometry
三亚国际数学论坛 Global Differential Geometry
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2017/11/24
Differential geometry is one of the most research intensive areas of mathematics in the late twentieth and early twenty-first century. Its current prominence stems in part from its position at a cross...
NOTE ON GLOBAL REGULARITY FOR 2D OLDROYD-B FLUIDS WITH DIFFUSIVE STRESS
Oldroyd-B, complex uids Fokker-Planck equations blow up global existence Euler equations Navier-Stokes equations kinetic equations
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2014/4/3
We prove global regularity of solutions of Oldroyd-B equations in 2 spatial dimensions with spatial di usion of the polymeric stresses.
On the Muskat problem: global in time results in 2D and 3D
Porous media incompressible ows uid interface global existence.
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2014/4/3
This paper considers the three dimensional Muskat problem in the stable regime.We obtain a conservation law which provides an L2 maximum principle for the uid interface. We also show global in time ex...
Optimal Riemannian metric for a volumorphism and a mean ergodic theorem in complete global Alexandrov nonpositively curved spaces
Optimal Riemannian metric volumorphism mean ergodic theorem complete global Alexandrov nonpositively curved spaces Differential Geometry
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2012/6/15
In this paper we give a natural condition for when a volumorphism on a Riemannian manifold $(M,g)$ is actually an isometry with respect to some other, optimal, Riemannian metric $h$. We consider the n...
Weakly regular T2 symmetric spacetimes. The global geometry of future developments
regular T2 symmetric spacetimes global geometry future developments
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2011/3/4
Under weak regularity assumptions, only, we develop a fully geometric theory of vacuum
Einstein spacetimes with T2–symmetry, establish the global well-posedness of the initial value
problem for Eins...
Weakly regular T2 symmetric spacetimes. The global geometry of future developments
regular T2 symmetric spacetimes global geometry of future developments
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2011/3/4
Under weak regularity assumptions, only, we develop a fully geometric theory of vacuum
Einstein spacetimes with T2–symmetry, establish the global well-posedness of the initial value
problem for Eins...
Global well-posedness and scattering for the defocusing cubic NLS in four dimensions
Global well-posedness scattering the defocusing cubic NLS
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2010/11/11
In this short note we present a new proof of the global well-posedness and scattering result for the defocusing energy-critical NLS in four space dimensions obtained previously by Ryckman and Visan. ...
A Global Curvature Pinching Result of the First Eigenvalue of Laplacian on Riemannian Manifolds
Moser迭代 第一特征值 结点集 结点域
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2008/5/15
通过利用一个拟阵与它的直立之间的关系,特别是通过处理一个拟阵与一个特殊映射 $f$之间的关系, 具体分析了V\'amos拟阵的直立问题,得到了除去平凡情形, V\'amos 拟阵没有直立的结论. 从而回答了由Welsh 提出``V\'amos拟阵是否有直立?''的问题.
关键词
Moser迭代
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Annals of Global Analysis Geometry
Annals Geometry
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2008/1/14
The Annals of Global Analysis and Geometry contribute to an enlargement of the international exchange of research results in the fields of global analysis and geometry. The journal treats, in particul...
Global Existence of a Shock for the Supersonic Flow Past a Curved Wedge
potential equation shock wave wedge global existence
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2007/12/11
This note is devoted to the study of the global existence of a shock wave for the super- sonic flow past a curved wedge. When the curved wedge is a small perturbation of a straight wedge and the angle...