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A one‐dimensional dynamic contact problem in linear viscoelasticity
Author(s) -
Kim Jong Uhn
Publication year - 1990
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.1670130106
Subject(s) - mathematics , viscoelasticity , uniqueness , obstacle , mathematical analysis , perpendicular , boundary value problem , obstacle problem , boundary (topology) , geometry , physics , political science , law , thermodynamics
The initial‐boundary value problem associated with a linear viscoelastic bar which moves along its axis and against a stationary obstacle perpendicular to the axis is discussed. The existence of a solution is established by the penalty method and a multiplier technique. The uniqueness of the solution is also proved in a special case.