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4. The stationary Boussinesq problem under singular forcing

   https://doi.org/10.1142/S0218202521500196  

   Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J. (April 2021, Mathematical Models and Methods in Applied Sciences)

   null (Ed.)

   In Lipschitz two- and three-dimensional domains, we study the existence for the so-called Boussinesq model of thermally driven convection under singular forcing. By singular we mean that the heat source is allowed to belong to [Formula: see text], where [Formula: see text] is a weight in the Muckenhoupt class [Formula: see text] that is regular near the boundary. We propose a finite element scheme and, under the assumption that the domain is convex and [Formula: see text], show its convergence. In the case that the thermal diffusion and viscosity are constants, we propose an a posteriori error estimator and show its reliability. We also explore efficiency estimates. 

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5. Fully dispersive Boussinesq models with uneven bathymetry

   Carter, J; Dinvay, E; Kalisch, H (January 2021, Journal of engineering mathematics)

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