A boundary value problem for the spherically symmetric motion of a pressureless gas with a temperature‐dependent viscosity |
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| Authors: | Bernard Ducomet Šárka Nečasová |
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| Institution: | 1. Département de Physique Théorique et Appliquée, CEA/DAM Ile de France BP 12, F‐91680 Bruyères‐le‐Chatel, France;2. Mathematical Institute AS ?R ?itná 25, 115 67 Praha 1, Czech Republic |
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| 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. |
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| Keywords: | spherically symmetric motion pressureless gas temperature‐dependent viscosity |
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