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CPHYSICS
2007
93views more  CPHYSICS 2007»
14 years 9 months ago
Convergence rate of dimension reduction in Bose-Einstein condensates
In this paper, we study dimension reduction of the three-dimensional (3D) Gross–Pitaevskii equation (GPE) modeling Bose–Einstein condensation under different limiting interact...
Weizhu Bao, Yunyi Ge, Dieter Jaksch, Peter A. Mark...
ICRA
2010
IEEE
122views Robotics» more  ICRA 2010»
14 years 8 months ago
Constrained convergent gait regulation for a climbing robot
— The priorities of a climbing legged robot are to maintain a grasp on its climbing surface and to climb efficiently against the force of gravity. These priorities profoundly co...
Salomon Trujillo, Barrett Heyneman, Mark R. Cutkos...
FOCM
2008
100views more  FOCM 2008»
14 years 9 months ago
A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...
Felipe Alvarez, Jérôme Bolte, Julien ...
JSCIC
2007
90views more  JSCIC 2007»
14 years 9 months ago
Convex ENO Schemes for Hamilton-Jacobi Equations
In one dimension, viscosity solutions of Hamilton-Jacobi (HJ) equations can be thought as primitives of entropy solutions for conservation laws. Based on this idea, both theoretica...
Chi-Tien Lin, Xu-Dong Liu
MMAS
2010
Springer
14 years 4 months ago
Roughness-Induced Effect at Main Order on the Reynolds Approximation
Usually the Stokes equations that govern a flow in a smooth thin domain (with thickness of order ) are related to the Reynolds equation for the pressure psmooth. In this paper, we...
Didier Bresch, Catherine Choquet, Laurent Chupin, ...