Laplace Equation
★★★★☆Undergraduate
📖Definition
Elliptic PDE describing steady state. Defines harmonic functions
📐Formulas
∇²u = 0
∂²u/∂x² + ∂²u/∂y² = 0
Mean value property
Maximum principle
✏️Examples
예제 1
Electrostatic potential
예제 2
Steady heat conduction
예제 3
Fluid flow
⚡Applications
Electromagnetism
Fluid mechanics
Gravity
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