Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
linear partial differential equation
nonlinear differential equation |
| gptkbp:describes |
evolution of phase space density
|
| gptkbp:field |
mathematical physics
partial differential equations |
| gptkbp:form |
partial differential equations
Δu = Ke^u (in 2D geometry) ∂ρ/∂t + {ρ, H} = 0 |
| https://www.w3.org/2000/01/rdf-schema#label |
Liouville equation
|
| gptkbp:introducedIn |
1838
|
| gptkbp:namedAfter |
gptkb:Joseph_Liouville
|
| gptkbp:relatedTo |
gptkb:Liouville's_theorem
|
| gptkbp:usedIn |
gptkb:Hamiltonian_mechanics
gptkb:statistical_mechanics complex analysis |
| gptkbp:bfsParent |
gptkb:Liouville_field_theory
|
| gptkbp:bfsLayer |
5
|