Existence result for heatconducting viscous incompressible fluids with vacuum
Preprint Series # 742 Cho, Yonggeun and Kim, Hyunseok Existence result for heatconducting viscous incompressible fluids with vacuum. (2005); AbstractWe study the NavierStokes equations for heatconducting
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. Item Type:  Preprint 

Additional Information:  10 

Uncontrolled Keywords:  heatconducting
incompressible NavierStokes equations, strong solutions, vacuum 

Subjects:  35xx PARTIAL DIFFERENTIAL EQUATIONS 

ID Code:  1056 

