On the existence, regularity and uniqueness of $$L^p$$ L p -solutions to the steady-state 3D Boussinesq system in the whole space and with gravity acceleration

Oscar Jarrín ()
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Oscar Jarrín: Universidad de Las Américas

Partial Differential Equations and Applications, 2024, vol. 5, issue 3, 1-30

Abstract: Abstract We consider the steady-state Boussinesq system in the whole three-dimensional space, with the action of external forces and the gravitational acceleration. First, for $$3

Keywords: Boussinesq system with gravity acceleration; Steady-state $$L^p$$ L p -solutions; Non-existence of solutions; regularity criterion; Lorentz spaces; Liouville problem; 35A01; 35B53; 35B65 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s42985-024-00281-3

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