科研之友
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摘要
We investigate a non-local, non-linear conservation law, first introduced by A C Fowler to describe morphodynamics of dunes, see [6, 7] A remarkable feature is the violation of the maximum principle, which allows for erosion phenomenon We prove well posedness for initial data in L-2 and give an explicit counterexample for the maximum principle We also provide numerical simulations corroborating our theoretical results
- 出版日期2010-2
