Nonlinear diffusion problem with dynamical boundary value

作者:Vrabel Vladimir*; Slodicka Marian
来源:Journal of Computational and Applied Mathematics, 2013, 246: 94-103.
DOI:10.1016/j.cam.2012.11.006

摘要

A nonlinear degenerate convection-diffusion initial boundary value problem is studied in a bounded domain. A dynamical boundary condition (containing the time derivative of a solution) is prescribed on the one part of the boundary. This models a non-perfect contact on the boundary. The existence and uniqueness of a weak solution in corresponding function spaces is proved using the backward Euler method for the time discretization. Error estimates for time-discrete approximations are derived.

  • 出版日期2013-7