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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
Abstract 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.