Classical Fluid Mechanics

Author(s): M. Belevich

DOI: 10.2174/9781681084091117010006

Minimum Information About Tensors

Pp: 53-62 (10)

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Classical Fluid Mechanics

Minimum Information About Tensors

Author(s): M. Belevich

Pp: 53-62 (10)

DOI: 10.2174/9781681084091117010006

* (Excluding Mailing and Handling)

Abstract

Minimal necessary information about tensors is presented. Definition of a tensor of the 2nd rank is given, and components of a tensor with respect to some basis are considered. Algebraic and differential operations, allowing to build tensor expressions are discussed. Some special tensors are defined. Also the eigenvalue problem is studied.


Keywords: Antisymmetric tensor, Contraction of tensors, Divergence, Eigenvalue problem, Gradient, Inner product, Inverse tensor, Orthogonal tensor, Symmetric tensor, Tensor, Tensor expression, Tensor operation, Tensor rank, Transposed tensor.

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