Nonhomogeneous time-dependent Navier-Stokes problems in \(L_ p\) Sobolev spaces. (English) Zbl 0831.35126
A complete mathematical theory is presented for nonhomogeneous time dependent Navier-Stokes problems in Sobolev spaces. A number of theorems are presented for the existence and uniqueness of the problem. It is also stated that the same method could as well work on Besov spaces. A number of illustration is given for demonstration.
Reviewer: P.K.Mahanti (Ranchi)
MSC:
| 35Q30 | Navier-Stokes equations |
| 35K55 | Nonlinear parabolic equations |
| 35S15 | Boundary value problems for PDEs with pseudodifferential operators |
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
