Liouville equation

differential equation for the evolution of distribution functions
Thing partial_differential_equation Q20180666
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Liouville equation

Summary

Liouville equation is a partial differential equation[1].

Key Facts

  • Liouville equation's instance of is recorded as partial differential equation[2].
  • Joseph Liouville is named after Liouville equation[3].
  • Liouville equation's represents is recorded as evolution[4].
  • Liouville equation's defining formula is recorded as \frac{\mathrm{d}\rho}{\mathrm{d}t} = \frac{\partial\rho}{\partial t} + \sum_{i = 1}^{n} \left(\frac{\partial\rho}{\partial q_i} \dot q_i + \frac{\partial\rho}{\partial p_i} \dot p_i \right) = 0[5].
  • Liouville equation's studied by is recorded as statistical mechanics[6].
  • Liouville equation's Google Knowledge Graph ID is recorded as /g/11bc5cxfx6[7].
  • Liouville equation's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • Liouville equation's in defining formula is recorded as \rho[9].
  • Liouville equation's in defining formula is recorded as t[10].
  • Liouville equation's in defining formula is recorded as q[11].
  • Liouville equation's in defining formula is recorded as p[12].

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APA 4ort.xyz Knowledge Graph. (2026). Liouville equation. Retrieved May 3, 2026, from https://4ort.xyz/entity/liouville-equation
MLA “Liouville equation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/liouville-equation.
BibTeX @misc{4ortxyz_liouville-equation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Liouville equation}}, year = {2026}, url = {https://4ort.xyz/entity/liouville-equation}, note = {Accessed: 2026-05-03}}
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