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A STOCHASTIC LAGRANGIAN REPRESENTATION OF THE 3-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
stochastic Lagrangian incompressible Navier-Stokes
2014/4/4
In this paper we derive a representation of the deterministic 3-dimensional Navier-Stokes equations based on stochastic Lagrangian paths.The particle trajectories obey SDEs driven by a uniform Wiener ...
基于矩阵图集的粗化算法,构造一种新的插值算子,提出了瀑布型代数两重网格法;然后结合部分几何信息,提出了求解二次Lagrangian有限元方程的代数两水平方法.数值实验表明该算法稳健性强、计算量更少.
Lagrangian Floer theory on compact toric manifolds: survey
Lagrangian Floer theory compact toric manifolds
2010/11/23
This article is a survey of a series of papers [FOOO3,FOOO4,FOOO5] in which we developed the method of calculation of Floer cohomology of Lagrangian torus orbits in compact toric manifolds, and its a...
Mechanical Lagrangian systems with external forces
mechanical systems semisprays external forces stability
2009/2/26
We consider mechanical Lagrangian systems with external
forces that depend also on velocity. The geometrical model is given by
a special semispray S. We show that when the system is dissipative the
...
Mechanical Lagrangian systems with external forces
mechanical systems semisprays external forces stability
2009/1/7
We consider mechanical Lagrangian systems with external
forces that depend also on velocity. The geometrical model is given by
a special semispray S. We show that when the system is dissipative the
...
Modified Lagrangian and Least Root Approaches for General Nonlinear Optimization Problems
Generalized Lagrangian Zero duality gap least root approach
2007/12/11
In this paper we study nonlinear Lagrangian methods for optimization problems with side constraints. Nonlinear Lagrangian dual problems are introduced and their relations with the original problem are...
An Eulerian-Lagrangian approach to the Navier-Stokes equations
An Eulerian-Lagrangian approach the Navier-Stokes equations
2014/4/4
We present a formulation of the incompressible viscous Navier-Stokes equa-tion based on a generalization of the inviscid Weber formula, in terms of a diusive \back-to-labels" map and a virtual veloci...