Existence of Classical Solutions for Shallow Water Model
DOI:
https://doi.org/10.5890/DNC.2027.03.001Abstract
The one-dimensional shallow water wave equations represent a fundamental model in fluid dynamics and is widely used to describe various practical problems. Existence of classical solutions to the wave equation provide valuable understanding and predictive power for phenomena observed in nature and engineering applications. This paper is focused on existence of one or more classical solutions to shallow water equations. To this end a novel way of integral representation of the solutions is introduced. The provided example supports the main findings in this paper.References
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