- #1
Gribouille
- 8
- 0
Hi,
Is there a method to represent a known two-dimensional vector field w of two coordinates x and y with zero divergence and non-zero curl as
$$ \vec{w}(x,y) = a \nabla b \, , \hspace{4mm} \nabla \cdot \vec{w} = 0 \, , \hspace{4mm} \nabla \times \vec{w} = f(x,y) \, ?$$
How would one proceed to calculate a and b?
Is there a method to represent a known two-dimensional vector field w of two coordinates x and y with zero divergence and non-zero curl as
$$ \vec{w}(x,y) = a \nabla b \, , \hspace{4mm} \nabla \cdot \vec{w} = 0 \, , \hspace{4mm} \nabla \times \vec{w} = f(x,y) \, ?$$
How would one proceed to calculate a and b?