Next: 1 $B$O$8$a$K(B (PDF ファイル: kiyou1997.pdf)

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Numerical results of time--periodic solutions for a scalar conservation law

Shigeharu TAKENO

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The scalar conservation law equation is known to have a discontinuous solution, so-called a shock wave. It makes some difficulties in mathematical analysis for the equation. Recently, the proof of the existence of the periodic solution was obtained for a scalar conservation law with a periodic outer force. In this paper, we introduce some properties and numerical results for the periodic solution by numerical computations.

Keywords

scalar conservation law, Burgers equation, time periodic solution, weak solutions, period doubling bifurcation

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Shigeharu TAKENO
2001$BG/(B 7$B7n(B 20$BF|(B

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Numerical results of time--periodic solutions for a scalar conservation law

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