Scaling Symmetry and Integrable Spherical Hydrostatics

Any symmetry reduces a second-order differential equation to a first integral: variational symmetries of the action (exemplified by central field dynamics) lead to conservation laws, but symmetries of only the equations of motion (exemplified by scale-invariant hydrostatics) yield first-order {\em n...

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Veröffentlicht in:	arXiv.org 2012-11
Hauptverfasser:	Bludman, Sidney, Kennedy, Dallas C
Format:	Artikel
Sprache:	eng
Schlagworte:	Astrophysics Conservation laws Differential equations Equations of motion Fluid dynamics Group theory Hydrostatics Invariants Main sequence stars Stellar age Symmetry White dwarf stars
Online-Zugang:	Volltext
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