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Initial‐boundary value problems for non‐linear equations of generalized thermoelasticity and elasticity
Author(s) -
Chrzęszczyk Andrzej
Publication year - 1993
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.1670160105
Subject(s) - mathematics , boundary value problem , elasticity (physics) , mathematical analysis , mixed boundary condition , robin boundary condition , linear elasticity , traction (geology) , physics , finite element method , thermodynamics , geomorphology , geology
We formulate a local existence theorem for the initial‐boundary value problems of generalized thermoelasticity and classical elasticity. We present a unified approach to such boundary conditions as, for example, the boundary condition of traction, pressure or place combined with the boundary condition of heat flux or temperature.