Three dimensional system of globally modified Navier-Stokesequations with infinite delays

By Pedro Marín-Rubio, Antonio M. Márquez-Durán, José Real. 2010

54 citations recorded by the source corpus.

Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay terms are established. Moreover, we also analyze the stationary problem and, under suitable additional conditions, we obtain global exponential decay of the solutions of the evolutionary problem to the stationary solution.

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

View Paper: https://www.semanticscholar.org/paper/2c1818c4edda75bc5fe1767ac94d8cf0145faee3

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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).”
Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms (2015, background): “We then can prove the following result concerning existence, uniqueness, and regularity of stationary solutions to the problem (the idea of the proof is close to that in [25]).”