Nonlinear diffusion problem with dynamical boundary value
نویسندگان
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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ورودعنوان ژورنال:
- J. Computational Applied Mathematics
دوره 246 شماره
صفحات -
تاریخ انتشار 2013