All Questions
5
questions
2
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133
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What do these tensor partial derivatives mean?
In the Wikipedia page on Ricci calculus the following tensor derivative equation is given:
$$A_{\alpha \beta ..., \gamma}:= \frac \partial {\partial x^\gamma}A_{\alpha \beta ...}.$$
However, what does ...
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5
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2
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495
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Notation: $\nabla \cdot$, div, $\nabla$, grad, ...? [closed]
I am currently finding myself doing lots of applied mathematics, e.g. fluid dynamics, and of course this involves a lot of vector calculus amongst other things. This had me thinking about proper ...
1
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2
answers
1k
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Levi civita and kronecker delta properties?
I'm trying to grasp Levi-civita and Kronecker del notation to use when evaluating geophysical tensors, but I came across a few problems in the book I'm reading that have me stumped.
1) $\delta_{i\,j}...
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2
votes
1
answer
130
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How to simplify this expression using tensor notaion?
$\nabla^2 (\phi A)-A \nabla^2 \phi -2(\nabla \phi \cdot\nabla)A$
Where $A,\phi$ are any sufficiently smooth vector and scalar fields respectively.
- 970
1
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1
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Index/Einstein notation to derive Gibbs/Tensor relations
In a few continuum classes I have seen indicial notation used to derive relations in Gibbs notation. However, Gibbs notation is valid for all coordinates while indicial notation is valid only for ...
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