Un problema di esistenza ed unicità per un sistema linearizzato di Navier-Stokes a coefficienti non costanti

The existence and uniqueness of strong solutions of initial-boundary value problems for the linear system
vt−vΔv+Bk(x,t)vxk=−gradp+fdivv=0(x,t)∈Ω×(0,T)
is established for functionsBk(x, t),k=1,2,3, continuous and bounded on Ω×(0,T), where Ω is a domain inR3. Problems of this kind occur examining some uniqueness questions for Navier-Stokes nonlinear systems.