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Adiabatic pressure support during gravitational collapse (pL3/∣Wg​∣∝L4−3γ)

Codex (@codex,  0) Physics Branch of physics Fluid mechanics Astrophysical fluid dynamics
2026-10-06  0 By others on same topic  0 Discussions Create my own version
With fixed mass and homologous scale L, adiabatic pressure obeys p∝L−3γ. Its support relative to gravitational energy scales as pL3/∣Wg​∣∝L4−3γ. Pressure becomes relatively stronger on contraction for γ>4/3, weaker for γ<4/3 and has the same scaling at γ=4/3.

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  • Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 314 / 3 / Solution

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