대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제22권1호
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  • Pages.145-155
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  • 2007
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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CONVERGENCE OF APPROXIMATE SOLUTIONS TO SCALAR CONSERVATION LAWS BY DEGENERATE DIFFUSION

  • Hwang, Seok (Department of Mathematics LaGrange College)
  • 발행 : 2007.01.31
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초록

In this paper, we show the convergence of approximate solutions to the convective porous media equation using methodology developed in [8]. First, we obtain the approximate transport equation for the given convective porous media equation. Then using the averaging lemma, we obtain the convergence.

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참고문헌

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