Nonlinear diffusion problem with dynamical boundary value

نویسندگان

  • Vladimír Vrábel'
  • Marián Slodicka
چکیده

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. 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 timediscrete approximations are derived.

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 246  شماره 

صفحات  -

تاریخ انتشار 2013