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Convergence of approximate solutions to scalar conservation laws by degenerate diffusion

Seok Hwang
대한수학회 (The Korean Mathematical Society)|2007.01|대한수학회논문집 (Communications of the KMS)|제22권 제1호|pp. 145-155

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참고문헌

주제분류수학

초록

Abstract

In this paper, we show the convergence of approximate so-lutions to the convective porous media equation using methodology de-veloped in [8]. First, we obtain the approximate transport equation forthe given convective porous media equation. Then using the averaginglemma, we obtain the convergence.

참고문헌 (23)

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