Navier–Stokes equations with delays on unbounded domains

By María J. Garrido-Atienza, Pedro Marín-Rubio. 2006

76 citations recorded by the source corpus.

Abstract Some results on the existence and uniqueness of solutions to Navier–Stokes equations when the domain is unbounded and the external force contains some hereditary characteristics are proved for both the evolutionary and the stationary cases. Exponential stability of the stationary solution is also established in dimension two.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/bf9f94b775156dc314b2c540e12dbf57677cd6a6

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In Applied Mathematics

In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

Stability results for 2D Navier–Stokes equations with unbounded delay (2018, background): “In the papers [22, 33, 29, 34, 30, 31, 35, 19, 32, 20, 18, 21] the authors have discussed the asymptotic behavior and regularity of solutions of 2D Navier-Stokes equations (and 3D-variations of Navier-Stokes models) with delay (finite and infinite).”
Three dimensional system of globally modified Navier-Stokesequations with infinite delays (2010, unknown): “We will also make use of the following inequality (see [21] and [10]) |b(u, v, w)| ≤ 2−1|u|1/4‖u‖3/4‖v‖|w|1/4‖w‖3/4, ∀u, v, w ∈ V.”