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Embedding theorem for bounded deformations in domains with cusps
Author(s) -
Arruda Lynnyngs K.,
Chemetov Nikolai V.
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3014
Subject(s) - bounded function , embedding , mathematics , cusp (singularity) , domain (mathematical analysis) , planar , space (punctuation) , mathematical analysis , pure mathematics , geometry , computer science , computer graphics (images) , artificial intelligence , operating system
An embedding theorem for the space of L 2 ‐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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