document: Convergence of a finite volume scheme for nonlinear degenerate parabolic equations One approximates the entropy weak solution u of a nonlinear parabolic degenerate equation u/sub t / + div -LRB- qf -LRB- u -RRB- -RRB- - Delta phi -LRB- u -RRB- = 0 by a piecewise constant function u/sub D / using a discretization D in space and time and a finite volume scheme . The convergence of u/sub D / to u is shown as the size of the space and time steps tend to zero . In a first step , estimates on u/sub D / are used to prove the convergence , up to a subsequence , of u/sub D / to a measure valued entropy solution -LRB- called here an entropy process solution -RRB- . A result of uniqueness of the entropy process solution is proved , yielding the strong convergence of u/sub D / to u . Some numerical results on a model equation are shown
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