solenoidal field
A solenoidal vector field is one that satisfies
ββ π=0 |
at every point where the vector field π is defined. Here ββ π is the divergence.
This condition actually implies that there exists a vector π, such that
π=βΓπ. |
For a function f satisfying Laplaceβs equation
β2f=0, |
it follows that βf is solenoidal.
Title | solenoidal field |
---|---|
Canonical name | SolenoidalField |
Date of creation | 2013-03-22 13:09:02 |
Last modified on | 2013-03-22 13:09:02 |
Owner | giri (919) |
Last modified by | giri (919) |
Numerical id | 9 |
Author | giri (919) |
Entry type | Definition |
Classification | msc 26B12 |
Synonym | solenoidal |
Related topic | SourcesAndSinksOfVectorField |