The Existence and the Finite Element Approximation for the System 4u ε ujρ∂u/∂xj+f

Publisher Summary The Existence and the Finite Element Approximation for the System Δuj There is no global existence theorem about the nonlinear Navier–Stokes equation until now. However, there is an existence theorem for the linear Stokes equation, and there also exists an existence theorem for the nonlinear system. This chapter discusses the convergence theorem for the finite element approximation of a system and some acceleration results.