What test can we perform on a vector field to determine if there exist vector field(s) that describe its inverse curl?
jedishrfu said:What do you mean by inverse curl? Are you saying you have the curl and now want to find the field or fields for it?
Are you looking for a physical test or a mathematical test?
Physically, you could place a small rotor in the flow and see what happens.
Mathematically you should know already ie what is the curl of a conservative field.
jedishrfu said:Mathematically you should know already ie what is the curl of a conservative field.
greswd said:The curl operator is not injective, hence there is no unique solution for the inverse curl. However, I just want to know the method by which we determine whether an inverse curl vector field does exist, given an existing vector field.
micromass said:What is an inverse curl vector field? You mean you are given a vector field and you want to find out whether this is the curl of another vector field?
greswd said:yes. whether it could be the curl of another vector field