Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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2019-03-05
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en
Pages
20
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Journal of Differential Equations, Volume 266, issue 6, pp. 3014-3033
Abstract
In this paper we prove that weak solutions to the Diffusive Wave Approximation of the Shallow Water equations ∂tu−∇⋅((u−z)α|∇u|γ−1∇u)=f are 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.Description
Keywords
Doubly nonlinear parabolic equations, Local boundedness
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Citation
Singer, T & Vestberg, M 2019, ' Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations ', Journal of Differential Equations, vol. 266, no. 6, pp. 3014-3033 . https://doi.org/10.1016/j.jde.2018.08.051