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Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 54 / 1 / b / ii

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2013 iii Paper 54 1 b
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ii
For no central accretion, A=0 and
νˉΣ=Br−1/2,vr​=0,G=3π(GM∗​)1/2B.​
(1)
This nonaccreting constant-torque disk has a finite inner stress and normally a nonzero inner surface density. An external inner torque supplies the angular momentum transported to an outer sink, although mass does not flow. If both this zero-mass-flux condition and a zero inner torque are imposed, B=0; there is no nontrivial positive-viscosity steady disk satisfying both.

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