Self-similar solutions in the theory of flare-ups in novae. II (Q1066754)

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scientific article; zbMATH DE number 3926498
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Self-similar solutions in the theory of flare-ups in novae. II
scientific article; zbMATH DE number 3926498

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    Self-similar solutions in the theory of flare-ups in novae. II (English)
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    1983
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    [For part I see the review above (Zbl 0578.76051).] The authors consider a spherically symmetric flow of a perfect, isothermal gas behind an outward propagating shock. The gravitational attraction of a central mass is included in the momentum equation. Ahead of the shock the fluid is assumed to be at rest and in hydrostatic equilibrium. Self-similar solutions are found for the velocity, pressure and density of the fluid behind the shock. A family of solutions are found which give a power law for the time dependence of the total energy inside the shock wave. These solutions include the blast wave solution for which the total energy remains constant with time. They present three solutions obtained by numerically integrating inward from the initial values at the shock boundary until the contact surface is reached.
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    novae
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    self-similar shocks
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    generalized Roche model
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    spherically symmetric flow of a perfect, isothermal gas
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    hydrostatic equilibrium
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    Self-similar solutions
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