Title of article :
On smooth dependence on initial conditions for dissipative PDEs, an ODE-type approach
Author/Authors :
Piotr Zgliczynski، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Abstract :
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 C1-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.
Keywords :
convergence , Navier-Stokes equations , Galerkin projections
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS