Geodesic
Estimates of Perturbed Oseen Semigroups and Their Applications to the Navier--Stokes System in~$\mathbb{R}^n$
Matematičeskie zametki, Tome 91 (2012) no. 6, pp. 880-895

Voir la notice de l'article provenant de la source Math-Net.Ru

For perturbed Oseen semigroups in $\mathbb{R}^n$, we establish their power $L_p-L_q$ estimates. These estimates are used to prove the existence of small global solutions to perturbed nonlinear Oseen systems and also of estimates of their $L_p$-norms as $t\to \infty$.
Keywords: Oseen semigroup, perturbed nonlinear Oseen system, power $L_p-L_q$ estimates, Navier–Stokes system, solenoidal field, Cauchy problem
Mots-clés : Fourier transform. 
@article{MZM_2012_91_6_a8,
     author = {L. I. Sazonov},
     title = {Estimates of {Perturbed} {Oseen} {Semigroups} and {Their} {Applications} to the {Navier--Stokes} {System} in~$\mathbb{R}^n$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {880--895},
     publisher = {mathdoc},
     volume = {91},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_6_a8/}
}
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L. I. Sazonov. Estimates of Perturbed Oseen Semigroups and Their Applications to the Navier--Stokes System in~$\mathbb{R}^n$. Matematičeskie zametki, Tome 91 (2012) no. 6, pp. 880-895. http://geodesic.mathdoc.fr/item/MZM_2012_91_6_a8/