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.
Original language | English |
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Pages (from-to) | 3014-3033 |
Number of pages | 20 |
Journal | Journal of Differential Equations |
Volume | 266 |
Issue number | 6 |
DOIs | |
Publication status | Published - 5 Mar 2019 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Doubly nonlinear parabolic equations
- Local boundedness