On smooth dependence on initial conditions for dissipative PDEs, an ODE-type approach.

[摘要] Using elementary ODE tools we show that for a class of dissipative PDEs, including Navier-Stokes equations on the plane with periodic boundary conditions, Galerkin projections are C-convergent, i.e. the partial derivatives with respect to initial conditions for Galerkin projections converge giving rise to smooth dependence on initial conditions for full PDE. (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-12-10

[关键词] galerkin projections;convergence;Navier-Stokes equations