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Existence result for heat-conducting viscous incompressible fluids with vacuum

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83892

Title: Existence result for heat-conducting viscous incompressible fluids with vacuum
Authors: Cho, Yonggeun Browse this author
Kim, Hyunseok Browse this author
Keywords: heat-conducting incompressible Navier-Stokes equations
strong solutions
vacuum
Issue Date: 2005
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 742
Start Page: 1
End Page: 47
Abstract: We study the Navier-Stokes equations for heat-conducting incompressible fluids in a domain $\Omega \subset \mathbf{R}^3$ whose viscosity, heat conduction coefficients and specific heat at constant volume are in general functions of density and temperature. We prove the local existence of the unique strong solution, provided the initial data satisfy a natural compatibility condition. For the strong regularity, we do not assume the positivity of initial density; it may vanish in an open subset (vacuum) of $\Omega$ or decay at infinity when $\Omega$ is unbounded.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69550
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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