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Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion
2015
Journal of Hyperbolic Differential Equations
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We consider the initial-boundary value problem of two-dimensional inviscid heat conductive Boussinesq equations with nonlinear heat diffusion over a bounded domain with smooth boundary. Under slip boundary condition of velocity and the homogeneous Dirichlet boundary condition for temperature, we show that there exists a unique global smooth solution to the initial-boundary value problem for H 3 initial data. Moreover, we will show that the temperature converges exponentially to zero as time
doi:10.1142/s0219891615500137
fatcat:kjs6ds6swjaajhm5jikv6xhqtm