Carpio Rodríguez, Ana María2023-06-202023-06-201996Carpio Rodríguez, A. M. «Large-Time Behavior in Incompressible Navier–Stokes Equations». SIAM Journal on Mathematical Analysis, vol. 27, n.o 2, marzo de 1996, pp. 449-75. DOI.org (Crossref), https://doi.org/10.1137/S0036141093256782.0036-141010.1137/S0036141093256782https://hdl.handle.net/20.500.14352/57224We give a development up to the second order for strong solutions u of incompressible Naviel-Stokes equations in R(n), n greater than or equal to 2. By combining estimates obtained from the integral equation with a scaling technique, we prove that, for initial data satisfying some integrability conditions (and small enough, if n greater than or equal to 3), u behaves like the solution of the heat equation taking the same initial data as u plus a corrector term that we compute explicitely.engjournal articlehttps//doi.org/10.1137/S0036141093256782http://epubs.siam.org/sima/resource/1/sjmaahopen access531.3Incompressible Navier-Stokes equationsStrong solutionsLarge time behaviourAsymptotic developmentHeat equationFísica matemáticaHidrodinámica3301.12 Hidrodinámica