Conservation Law Models of Granular Flow

来源 :2014年非线性偏微分方程的演化国际会议 | 被引量 : 0次 | 上传用户:Forest2008
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The talk is concerned with a model of granular flow,formulated as a scalar conservation law with nonlocal flux.Recent results will be reviewed,concerning the global existence of smooth solutions,the finite time formation of singularities,and the asymptotic shape of solutions.I shall also present a general result on the global well-posedness of the Cauchy problem,Proved within the framework of semigroup theory.Approximate solutions are here constructed by backward Euler approximations,combined with a projection operator.This is a joint work with Wen Shen.
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