Artículo
Nonlinear dynamical analysis for globally modified incompressible non-Newtonian fluids
Autor/es | Caraballo Garrido, Tomás
Carvalho, Alexandre N. López Lázaro, Heraclio |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2023-03-16 |
Fecha de depósito | 2023-11-06 |
Publicado en |
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Resumen | We present the global modification of the Ladyzhenskaya equations, for incompressible non-Newtonian fluids. This modification is through a cut-off function that multiplies the
convective term of the equation and an ... We present the global modification of the Ladyzhenskaya equations, for incompressible non-Newtonian fluids. This modification is through a cut-off function that multiplies the convective term of the equation and an additional artificial smoothing dissipation term as part of the viscous term of the equation. The goal of this work is the comparative analysis between the modified system and the non-modified system. Therefore, we show the existence and regularity of weak solutions, the existence of global attractors, the estimation of the fractal dimension of the global attractors, and finally, the relationship of the autonomous dynamics between the modified system and the non-modified system. |
Cita | Caraballo Garrido, T., Carvalho, A.N. y López Lázaro, H. (2023). Nonlinear dynamical analysis for globally modified incompressible non-Newtonian fluids. Journal of Mathematical Physics, 64, 112701-1. https://doi.org/10.1063/5.0150897. |
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