The authors study systems of linear partial differential equations for tensor-valued unknowns. The systems considered have symmetries which enable one to obtain some solutions. These are physically interpreted in the context of continuum mechanics, where they are shown to be related to constitutive equations for bodies of differential type.
On a large class of symmetric systems of linear PDEs for tensor functions useful in mathematical physics
MONTANARO, ADRIANO;PIGOZZI, DIEGO
1993
Abstract
The authors study systems of linear partial differential equations for tensor-valued unknowns. The systems considered have symmetries which enable one to obtain some solutions. These are physically interpreted in the context of continuum mechanics, where they are shown to be related to constitutive equations for bodies of differential type.
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