Results 1 to 2 of 2

Math Help - Curl Problem

  1. #1
    Newbie
    Joined
    Jan 2009
    Posts
    18

    Curl Problem

    Given an open set U\in\mathbb{R}^{3} and an orthagonal matrix A\in SO(3) I've got a vector field g\in C^{1}(U,\mathbb{R}^{3}) with g^{A}\in C^{1}(A(U),\mathbb{R}^{3}) defined as g^{A}:=Ag(A^{-1}x). I'm supposed to prove, that given a C^{1}-surface S with the norm v_{S}(x) with a C^{1}-boundary \partial S that: \int_{S}g\cdot v_{S}dS=\int_{S^{A}}g^{A}\cdot v_{S^{A}}dS\Rightarrow curl(f^{A})=(curl(f))^{A}\forall f\in C^{1}(U,\mathbb{R}^{3}).

    An explanatory help would be greatly appreciated.
    Last edited by realpart1/2; January 19th 2010 at 10:27 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Jan 2009
    Posts
    18
    bump
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Curl problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 23rd 2010, 06:28 PM
  2. Curl...
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: May 1st 2010, 04:43 AM
  3. curl
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 16th 2010, 01:56 PM
  4. easy curl problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 5th 2009, 09:56 AM
  5. Problem with Curl of Curl
    Posted in the Calculus Forum
    Replies: 5
    Last Post: July 1st 2008, 03:38 AM

Search Tags


/mathhelpforum @mathhelpforum