Laplace's Equation/Examples
Jump to navigation
Jump to search
Examples of Laplace's Equation
Electric Force in Free Space
Let $R$ be a region of free space.
Let $\mathbf V$ be an electric force in a given electric field over $R$.
Then $\mathbf V$ satisfies Laplace's equation.
Irrotational Motion of Incompressible Fluid
Let $B$ be a body of incompressible fluid.
Let $\mathbf V$ be the vector field which describes the irrotational motion of $B$.
Then $\mathbf V$ satisfies Laplace's equation.