MR2730621 Hiroko MORIMOTO Hiroko MORIMOTO Heat Convection Equation with Nonhomogeneous Boundary Condition Funkcialaj Ekvacioj. Serio Internacia 53 2010 213--229 http://fe.math.kobe-u.ac.jp/FE/FullPapers/53-2/53_213.pdf http://www.ams.org/mathscinet-getitem?mr=MR2730621 We consider the stationary heat convection equations and the time periodic heat convection equations (Boussinesq approximation) with non-homo-geneous boundary condition, and obtain the existence result similar to the Navier-Stokes equations' case.<br />     The boundary value for the fluid velocity should satisfy so-called general outflow condition (GOC). For the 2 or 3 dimensional bounded domain, the existence of the solution can be shown if the boundary condition satisfies the stringent outflow condition (SOC). Similarly to the Navier-Stokes equations, we obtain the existence result for the 2 dimensional symmetric domain and symmetric data with the boundary value satisfying only (GOC). Stationary Boussinesq flow with non-homogeneous boundary condition, Time periodic Boussinesq flow with non-homogeneous boundary condition, 2 or 3 dimensional bounded domain with multiply connected boundary, General outflow condition, 2 dimensional symmetric flow 35Q30, 76D05. 53-213 2010 Heat Convection Equation with Nonhomogeneous Boundary Condition Hiroko MORIMOTO Hiroko MORIMOTO
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