Classical Fluid Mechanics

Classical Fluid Mechanics

This textbook primarily explains the construction of classical fluid model to readers in a holistic manner and the way it is constructed. Secondly, the book also demonstrates some possible ...
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Minimum Information About Tensors

Pp. 53-62 (10)

M. Belevich

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.

Affiliation:

St.Petersburg Russia.