Parabolic Morrey spaces and mild solutions to Navier--Stokes equations.

P.G. Lemarié-Rieusset (1)

1 LaMME - Laboratoire de Mathématiques et Modélisation d'Evry

We present a theory of mild solutions for the Navier--Stokes equations in a (maximal) lattice Banach space.

Mots clés: Morrey spaces; Navier--Stokes equations; mild solutions; non-negative kernels

Domaines: Equations aux dérivées partielles [math.AP]

P.G. Lemarié-Rieusset. Parabolic Morrey spaces and mild solutions to Navier--Stokes equations.. Recent Progress in the Theory of the Euler and Navier–Stokes Equations, 1, Cambridge University Press, pp.126-136, 2016, ⟨10.1017/CBO9781316407103.008⟩. ⟨hal-00993451⟩