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What is $\frac{d}{d\mathbf v} \left[ \nabla \cdot (\mathbf v\otimes \mathbf v ) \right]$?

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#multivariable-calculus #matrix-calculus #tensors #divergence-operator #outer-product
33
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Writing an equation as divergence of an expression

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#calculus #vector-analysis #divergence-operator #divergence-theorem
78
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What's the divergence of Oseen tensor for the Zimm model?

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#mathematical-physics #tensors #fluid-dynamics #divergence-operator
33
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For $u:\mathbb{R}^3 \to \mathbb{R}^3$, if $u \in W^{n,p}(\mathbb{R}^3)$, then what is the regularity of $\nabla \cdot u$?

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#functional-analysis #sobolev-spaces #regularity-theory-of-pdes #matrix-norms #divergence-operator
50
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How to get the square of this expression?

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#vector-analysis #divergence-operator
263
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Non-zero divergence of a vector field

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#real-analysis #calculus #multivariable-calculus #divergence-operator
35
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Compute divergence of a matrix

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#calculus #solution-verification #vector-fields #divergence-operator #cylindrical-coordinates
178
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Link between covariant divergence and Lie derivative

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#riemannian-geometry #divergence-operator #lie-derivative
46
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Vector Field notation

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#derivatives #notation #divergence-operator #divergence-theorem
1k
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Divergence of a tensor in cylindrical coordinates

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#tensors #divergence-operator #cylindrical-coordinates
156
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In two dimensions show that the divergence transforms as a scalar under rotations.

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#multivariable-calculus #solution-verification #vector-analysis #divergence-operator
31
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Dot product symbol for divergence, merely a convenience?

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#inner-products #cross-product #divergence-operator #curl
191
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What can we say about the divergence of Hamiltonian vector fields?

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#riemannian-geometry #symplectic-geometry #divergence-operator #kahler-manifolds #hodge-theory
29
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Definition of divergence of a matrix valued function defined over matrices

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#multivariable-calculus #divergence-operator
79
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Find the $\nabla(\nabla \cdot \vec{F})$ given $\vec{F}(x,y,z)$

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#multivariable-calculus #derivatives #divergence-operator

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