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Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation. (arXiv:1802.00215v1 [math.AP])

来源于:arXiv
We analyze the weak solution concept for the Fornberg-Whitham equation in case of traveling waves with a piecewise smooth profile function. The existence of discontinuous weak traveling wave solutions is shown by means of analysis of a corresponding planar dynamical system and appropriate patching of disconnected orbits. 查看全文>>