Recent content by sgregory8
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Finding Beltrami field in Cartesian coordinates
Thanks for the tip haruspex but I'm a little confused as to what you mean. Differentiating the first component with respect to x will remove the function g(y,z) but still leave a nasty PDE. I've found another piece of information which I think allows me to solve the problem and that is that a...- sgregory8
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- Forum: Calculus and Beyond Homework Help
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Finding Beltrami field in Cartesian coordinates
Homework Statement Working in Cartesian coordinates (x,y,z) and given that the function g is independent of x, find the functions f and g such that: v=coszi+f(x,y,z)j+g(y,z)k is a Beltrami field. Homework Equations From wolfram alpha a Beltrami field is defined as v x (curl v)=0 The Attempt...- sgregory8
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- Cartesian Cartesian coordinates Coordinates Curl Field Vector field
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- Forum: Calculus and Beyond Homework Help