Browsing by Author "Ou, Biao"
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Item Alternative proofs on the radial symmetry and monotonicity of positive regular solutions to a singular integral equation(2005-05) Chen, Wenxiong; Li, Congming; Ou, BiaoItem Crystal Precipitation with Discrete Initial Data(1988-04) Friedman, Avner; Ou, Biao; Ross, David S.Item Curvature function in the recognition of people's handwriting(2004-08) Ou, BiaoItem An equality for the curvature function of a simple, closed curve on the plane(2002-09) Ou, BiaoWe prove an equality for the curvature function of a simple, closed curve on the plane. This equality leads to another proof of the four-vertex theorem in differential geometry.Item Examinations on a Three-Dimensional Differentiable Vector Field That Equals its Own Curl(2001-07) Ou, BiaoConsider the differential equation curl f = f for a 3-dimensional differentiable vector field f. We prove that f is analytic and then prove an existence and uniqueness theorem for the differential equation with a prescribed boundary data. We also outline with a few variations Professor J. Ericksen's work on a unit vector field that equals its own curl.Item A Model of Crystal Precipitation(1988-03) Friedman, Avner; Ou, BiaoItem A Poincaré inequality on Rn and its application to potential fluid flows in space(2004-01) Lu , Guozhen; Ou, Biao