Existence of Classical Solutions for Keyfitz--Kranzer Type Model
DOI:
https://doi.org/10.5890/JVTSD.2026.12.004Abstract
In this paper, we investigate the initial value problem for a two-component Camassa-Holm system (symmetric Keyfitz-Kranzer type model). Under suitable growth conditions, we establish existence of at least one classical solution via fixed-point arguments in a Banach space, existence of at least two nonnegative classical solutions in the positive cone using expansive-contraction methods, and existence of at least three distinct nonnegative classical solutions via coincidence degree theory on annuli. An explicit example has been demonstrated to verify all hypotheses.References
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