Laplace's equation (outside mass distribution)
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:appliesTo |
gravitational potential outside mass distribution
electrostatic potential outside charge distribution |
| gptkbp:boundary_condition |
potential and its normal derivative specified on boundary
|
| gptkbp:describes |
potential field in region with no mass
|
| gptkbp:dimensions |
applies in any number of spatial dimensions
|
| https://www.w3.org/2000/01/rdf-schema#label |
Laplace's equation (outside mass distribution)
|
| gptkbp:mathematical_form |
∇²Φ = 0
|
| gptkbp:namedAfter |
gptkb:Pierre-Simon_Laplace
|
| gptkbp:property |
satisfies maximum principle
solutions are smooth if boundary is smooth |
| gptkbp:relatedTo |
gptkb:Poisson's_equation
|
| gptkbp:solution_called |
harmonic function
|
| gptkbp:used_in |
mathematical physics
potential theory classical physics |
| gptkbp:bfsParent |
gptkb:Newtonian_potential
|
| gptkbp:bfsLayer |
7
|