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math.AP2013
A Landau de Gennes theory of liquid crystal elastomers
M. Carme Calderer, Carlos A. Garavito Garzon, Baisheng Yan
In this article, we study minimization of the Landau-de Gennes energy for liquid crystal elastomer.The total energy, is of the sum of the Lagrangian elastic stored energy function…
math.AP2013
Radial weak solutions for the Perona-Malik equation as a differential inclusion
Seonghak Kim, Baisheng Yan
The Perona-Malik equation is an ill-posed forward-backward parabolic equation with major application in image processing. In this paper we study the Perona-Malik type equation and…