Article
Dynamics of a globally modified Navier–Stokes model with double delay
Author/s | Yang, Dandan
Chen, Zhang Caraballo Garrido, Tomás ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2022-09-27 |
Deposit Date | 2023-02-27 |
Published in |
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Abstract | This paper investigates the dynamics of a class of three-dimensional
globally modified Navier-Stokes equations with double delay in the forcing and convective terms. We first prove the well-posedness of solutions of such ... This paper investigates the dynamics of a class of three-dimensional globally modified Navier-Stokes equations with double delay in the forcing and convective terms. We first prove the well-posedness of solutions of such system, which enables us to establish suitable non-autonomous dynamical systems. We then show the existence and uniqueness of pullback attractors for the associated dynamical systems. Finally, by using the generalized Banach limit, we construct a family of invariant Borel probability measures, which are supported on the pullback attractors. |
Citation | Yang, D., Chen, Z. y Caraballo Garrido, T. (2022). Dynamics of a globally modified Navier–Stokes model with double delay. Zeitschrift für angewandte Mathematik und Physik, 73, 216-1. https://doi.org/10.1007/s00033-022-01850-5. |
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