Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations |
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Authors: | Thomas Singer Matias Vestberg |
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Affiliation: | Department of Mathematics, Aalto University, P. O. Box 11100, FI-00076, Aalto University, Finland |
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Abstract: | In this paper we prove that weak solutions to the Diffusive Wave Approximation of the Shallow Water equations 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. |
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Keywords: | 35B65 35D30 35K10 Local boundedness Doubly nonlinear parabolic equations |
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