A boundary value problem for the spherically symmetric motion of a pressureless gas with a temperature‐dependent viscosity | Zendy

Ducomet Bernard | Zendy; Nečasová Šárka | Zendy

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A boundary value problem for the spherically symmetric motion of a pressureless gas with a temperature‐dependent viscosity

Author(s) -

Ducomet Bernard,

Nečasová Šárka

Publication year - 2009

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1123

Subject(s) - mathematics , viscosity , motion (physics) , boundary value problem , mathematical analysis , boundary (topology) , thermodynamics , classical mechanics , physics

We consider an initial‐boundary value problem for the equations of spherically symmetric motion of a pressureless gas with temperature‐dependent viscosity µ(θ) and conductivity κ(θ). We prove that this problem admits a unique weak solution, assuming Belov's functional relation between µ(θ) and κ(θ) and we give the behaviour of the solution for large times. Copyright © 2009 John Wiley & Sons, Ltd.

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