From constant mean curvature hypersurfaces to the gradient theory of phase transitions

Frank Pacard; Manuel Ritor\'e

arxiv: math/0302160 · v1 · submitted 2003-02-13 · 🧮 math.DG · math.AP

From constant mean curvature hypersurfaces to the gradient theory of phase transitions

Frank Pacard , Manuel Ritor\'e This is my paper

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keywords constantcurvaturemeancahn-hilliardconstructconvergesequationgiven

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We construct solutions of the Cahn-Hilliard equation whose nodal set converges to a given constant mean curvature hypersurface in a Riemannian manifold.

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From constant mean curvature hypersurfaces to the gradient theory of phase transitions

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