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On conformal variat...
On conformal variational problems and free boundary continua
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- Marsland, Stephen (author)
- Massey University
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- McLachlan, Robert I (author)
- Massey University
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- Modin, Klas, 1979 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics
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- Perlmutter, Matthew (author)
- Universidade Federal de Minas Gerais
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(creator_code:org_t)
- 2014-03-25
- 2014
- English.
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In: Journal of Physics A: Mathematical and Theoretical. - : IOP Publishing. - 1751-8121 .- 1751-8113. ; 47:14, s. Art. no. 145204-
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Abstract
Subject headings
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- We develop a framework for deriving governing partial differential equations for variational problems on spaces of conformal mappings. The main motivation is to obtain differential equations for the conformal motion of free boundary continua, of interest in image and shape registration. A fundamental tool in the paper, the Hodge–Morrey–Friedrichs decompositions of differential forms on manifolds with boundaries, is used to identify the orthogonal complement of the subspace of conformal mappings. A detailed presentation of these decompositions is included in the paper.
Subject headings
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Keyword
- free boundary continua
- conformal embeddings
- Hodge decomposition of vector fields and differential forms
- calculus of variations
- calculus of variations; conformal embeddings; free boundary continua; Hodge decomposition of vector fields and differential forms
Publication and Content Type
- art (subject category)
- ref (subject category)
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