Laplace Equation
Important in fluid dynamics describing the behavior of gravitational and fluid potentials. The Laplace equation is fundamental in electromagnetism, astronomy, and fluid dynamics for describing electric, gravitational, and fluid potentials.
Laplace Equation
The Laplace equation is a second-order partial differential equation that describes the behavior of potentials in various fields:
Applications
- Electromagnetism - Electric potentials
- Astronomy - Gravitational potentials
- Fluid Dynamics - Fluid potentials
General Form
In Cartesian coordinates, the Laplace equation is expressed as:
∇²φ = ∂²φ/∂x² + ∂²φ/∂y² + ∂²φ/∂z² = 0
where φ represents the potential function.