New posts in Vector Fields

Are there cases where $\nabla\cdot\iiint\frac{\mathbf{J}(\mathbf{x}')}{\left|\mathbf{x}-\mathbf{x'}\right|}\mathrm{d}V' \neq 0$?

When does a vector component keep being a vector, exactly?

Puzzle concerning the Divergence Theorem

Why would one write a vector field as a derivative?

Difference between physicist's vector and mathematician's vector

How is dot or cross product possible using the del operator?

Helmholtz - Kirchhoff Integral Theorem

Why is the force of a magnetic field or a magnetic field not a vector field?

When is time a degree of freedom?

Direction of magnetic field in a solenoid