科研之友
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摘要
We consider the Ibragimov-Shabat equation, which contains non-linear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation converge to discontinuous weak solutions of a scalar conservation law. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the L-P setting.
- 出版日期2016-6
