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Propagating of a spherical detonation wave in the expanding universe with an account for gravitation. (Russian. English summary) Zbl 0593.76076

Summary: The self-similar solution of the equations describing a gas flow behind a divergent detonation wave in the matter expanding according to the Hubble law is carried out. For a narrow range of the adiabatic exponent x: 1\(<x<x_ 1\) \((1,2<x_ 1<1,21)\), there is a continuous solution in the whole region from the center to the front of the detonation wave with a weak discontinuity along the characteristic surface. If \(x>4/3\), a shock is formed in the flow behind the detonation wave front. If \(x_ 1<x\leq 4/3\), there is no self-similar solution to satisfy the physical conditions of the problem.

MSC:

76L05 Shock waves and blast waves in fluid mechanics
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
83F05 Relativistic cosmology
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
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