2D Navier-Stokes equation in Besov spaces of negative order

TY - JOUR

T1 - 2D Navier-Stokes equation in Besov spaces of negative order

AU - Brzezniak, Zdzislaw

AU - Ferrario, Benedetta

PY - 2009/6/1

Y1 - 2009/6/1

N2 - The Navier-Stokes equation in the bidimensional torus is considered, with initial velocity in the Besov spaces B-pr(-s+2-2/r) and forcing term in L-r (0, T; B-pq(-s)) for suitable indices s, r, p, q, Results of local existence and uniqueness are proven in the case -1 < -s + 2 - 2/r < 0 and of global existence in the case -1/2 < -s + 2 - 2/r < 0. (C) 2008 Elsevier Ltd. All rights reserved.

AB - The Navier-Stokes equation in the bidimensional torus is considered, with initial velocity in the Besov spaces B-pr(-s+2-2/r) and forcing term in L-r (0, T; B-pq(-s)) for suitable indices s, r, p, q, Results of local existence and uniqueness are proven in the case -1 < -s + 2 - 2/r < 0 and of global existence in the case -1/2 < -s + 2 - 2/r < 0. (C) 2008 Elsevier Ltd. All rights reserved.

KW - Navier-Stokes equations

KW - Weak solutions

KW - Existence uniqueness and regularity theory

KW - FLUIDS

KW - EULER

KW - FLOWS

UR - http://www.scopus.com/inward/record.url?scp=62949134582&partnerID=8YFLogxK

U2 - 10.1016/j.na.2008.08.001

DO - 10.1016/j.na.2008.08.001

M3 - Article

SN - 0362-546X

VL - 70

SP - 3902

EP - 3916

JO - Nonlinear analysis-Theory methods & applications

JF - Nonlinear analysis-Theory methods & applications

IS - 11

ER -