Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations
Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations
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DOI：
10.1016/j.jde.2018.08.051
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发表时间：
2019-03-05
影响因子：
2.4
通讯作者：
Vestberg, Matias
中科院分区：
文献类型：
--
作者：
Singer, Thomas;Vestberg, Matias
本文证明了浅水方程扩散波近似的弱解是偏导数(T)模型。((U-z)(α)垂直条形Del u垂直条形(Gamma-1)Del u)=当地限定票价。这里，u描述水的高度，z是表示陆地高度的给定函数，f是考虑蒸发、渗透或降雨量的源项。(C)2018 Elsevier Inc.保留所有权利。
In this paper we prove that weak solutions to the Diffusive Wave Approximation of the Shallow Water equationspartial derivative(t)u - del . ((u - z)(alpha)vertical bar del u vertical bar(gamma-1)del u) = fare locally bounded. Here, u describes the height of the water, z is a given function that represents the land elevation and f is a source term accounting for evaporation, infiltration or rainfall. (C) 2018 Elsevier Inc. All rights reserved.