Liouville–Bratu–Gelfand equation
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In mathematics, Liouville–Bratu–Gelfand equation or Liouville's equation is a non-linear Poisson equation, named after the mathematicians Joseph Liouville,[1] Gheorghe Bratu[2] and Israel Gelfand.[3] The equation reads
- For Liouville's equation in differential geometry, see Liouville's equation.
The equation appears in thermal runaway as Frank-Kamenetskii theory, astrophysics for example, Emden–Chandrasekhar equation. This equation also describes space charge of electricity around a glowing wire[4] and describes planetary nebula.