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Linear thermo‐elasticity in non‐smooth media |
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| Authors: | Rainer Picard |
| Abstract: | An alternative first order formulation of linear thermo‐elasticity is presented, designed to deal with coefficients of low regularity as a model for a large class of media occupying arbitrary non‐empty open sets. By fine‐tuning the concepts of generalized derivatives a general existence, uniqueness and continuous dependence result is obtained in the framework of extrapolation spaces (Sobolev lattices). Copyright © 2005 John Wiley & Sons, Ltd. |
| Keywords: | thermoelastics Duhamel– Neumann law hyperbolic– parabolic coupled system extrapolation spaces elasticity theory Sobolev lattices |