On the stationary flows of viscous, incompressible and heat‐conducting fluids

Grzegorz Łukaszewicz · Mathematical Methods in the Applied Sciences · 1988

Abstract We consider a boundary‐value problem describing the motion of viscous, incompressible and heat‐conducting fluids in a bounded domain in ℝ3. We admit non‐homogeneous boundary conditions, the appearance of exterior forces and heat sources. Our aim is to prove the existence of a solution of the problem in Sobolev spaces.

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