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Global Well‐Posedness of Incompressible Elastodynamics in Two Dimensions
Author(s) -
Lei Zhen
Publication year - 2016
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21633
Subject(s) - sobolev space , mathematics , uniqueness , compressibility , isotropy , mathematical analysis , space (punctuation) , initial value problem , cauchy problem , physics , mechanics , linguistics , philosophy , quantum mechanics
We prove that for sufficiently small initial displacements in some weighted Sobolev space, the Cauchy problem of the systems of incompressible isotropic Hookean elastodynamics in two space dimensions admits a uniqueness global classical solution. © 2016 Wiley Periodicals, Inc.