Existence and stability of global regular solutions for a dusty gas model

Doronin, Gleb G.; Larkin, Nikolai A.; Souza, Aparecido J. de

doi:10.1002/mma.463

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Viscous Dusty Gas Model1

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2009

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“…To overcome the difficulties mentioned in previous sections, one uses either two-pressure models (which ensure hyperbolicity), [20,14], or models that take viscous forces into account, [16,1,3,4,5,12,8]. Our attention is focused on the second approach.…”

Section: Viscous Dusty Gas Modelmentioning

confidence: 99%

Mathematical Problems For A Dusty Gas Flow

Doronin¹,

Larkin²

2009

B Soc Paran Mat

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This brief review presents most important results of the authors dealing with mathematical models for the nonstationary two-phase flow of a dusty gas. We do not aim to analyze physical justifications and numerical simulations of dusty gas flows; our attention is focused on the qualitative properties of these models, such as local and global in time well-posedness, uniqueness and asymptotic behavior of solutions.

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