Journal
OPEN MATHEMATICS
Volume 21, Issue 1, Pages -Publisher
DE GRUYTER POLAND SP Z O O
DOI: 10.1515/math-2022-0577
Keywords
existence; uniqueness; stability; Camassa-Holm type equation; Cauchy problem
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Camassa-Holm type equations are used as models for the unidirectional propagation of shallow water waves over a flat bottom. They also describe finite length, small amplitude radial deformation waves in cylindrical compressible hyperelastic rods. Under appropriate assumptions on the initial data, time T, and equation coefficients, we prove the well-posedness of the classical solutions for the Cauchy problem.
Camassa-Holm type equations arise as models for the unidirectional propagation of shallow water waves over a flat bottom. They also describe finite length, small amplitude radial deformation waves in cylindrical compressible hyperelastic rods. Under appropriate assumption on the initial data, on the time T T , and on the coefficients of such equation, we prove the well-posedness of the classical solutions for the Cauchy problem.
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