Fluid Flow Equations with Thermal Effects in Complex-Quaternionic Setting
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This article considers the Boussinesq approximation of Poisson–Stokes equations under given initial value and boundary value conditions. Using a quaternionic operator calculus representations of solutions are presented. If the boundedness of the velocity can be assumed then a stable semi-discretisation procedure approximates the problem.
Keywords.Poisson–Stokes equations quaternionic operator calculus semi-discretisation methods
Mathematics Subject Classification (2000).Primary 30G35 Secondary 35G15
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