Solenoidal: Difference between revisions

Latest revision as of 06:22, 30 March 2024

Applied to a vector field having zero divergence, hence, one that may be expressed as the curl of another vector:

where a is the solenoidal vector and b is a vector field (sometimes called the vector potential of a) that can be determined from the differential equation.

See irrotational, Helmholtz's theorem.

@@ Line 1: / Line 1: @@
+{{Term
+|Display title=solenoidal
-{{TermHeader}}
+|Definitions={{Definition
-{{TermSearch}}
+|Num=1
+|Meaning=
-<div class="termentry">
+Applied to a [[vector field]] having zero [[divergence]], hence, one that may be expressed as  the [[curl]] of another [[vector]]:  <blockquote>[[File:ams2001glos-Se38.gif|link=|center|ams2001glos-Se38]]</blockquote> where '''a''' is the solenoidal vector and '''b''' is a vector field (sometimes called the [[vector potential]] of  '''a''') that can be determined from the differential equation.<br/> <br/>''See'' [[irrotational]], [[Helmholtz's theorem]].
-  <div class="term">
+}}
-== solenoidal ==
+}}
-  </div>
-<div class="definition"><div class="short_definition">Applied to a [[vector field]] having zero [[divergence]], hence, one that may be expressed as  the [[curl]] of another [[vector]]:  <div class="display-formula"><blockquote>[[File:ams2001glos-Se38.gif|link=|center|ams2001glos-Se38]]</blockquote></div> where '''a''' is the solenoidal vector and '''b''' is a vector field (sometimes called the [[vector potential]] of  '''a''') that can be determined from the differential equation.</div><br/> <div class="paragraph"><br/>''See'' [[irrotational]], [[Helmholtz's theorem]].</div><br/> </div>
-</div>
-{{TermIndex}}
-{{TermFooter}}
-[[Category:Terms_S]]