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학술저널

WEAK SOLUTIONS OF GRADIENT FLOW OF LANDAU-DE GENNES ENERGY

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Taking into account the °exoelectric e??ects, we con- sider a gradient °ow of Landau-de Gennes energy which generalizes the Oseen-Frank energy. In this article, we discuss existence of weak solutions of the gradient °ow in an appropriate function space.

1. Introduction

2. A priori estimates

3. Existence of weak solution

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