2013•Mathematical Methods in the Applied SciencesRequires access

Embedding theorem for bounded deformations in domains with cusps

Lynnyngs Kelly Arruda, Nikolai V. Chemetov

Abstract

An embedding theorem for the space of L2‐bounded deformations in a planar domain with an external cusp is established. These kinds of embedding inclusions appear naturally in the modeling process of the motion of a rigid body in a fluid, filling a bounded domain. Copyright © 2013 John Wiley & Sons, Ltd.

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Key concepts: Bounded function, Embedding, Mathematics, Cusp (singularity), Domain (mathematical analysis), Planar, Space (punctuation), Mathematical analysis