On H 2-solutions for a Camassa-Holm type equation

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...

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Bibliographic Details
Published in:Open Mathematics
Main Authors: Coclite Giuseppe Maria, di Ruvo Lorenzo
Format: Article
Language:English
Published: De Gruyter 2023-05-01
Subjects:
existence
uniqueness
stability
camassa-holm type equation
cauchy problem
35g25
35k55
Online Access:https://doi.org/10.1515/math-2022-0577
Description
Summary: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 TT, and on the coefficients of such equation, we prove the well-posedness of the classical solutions for the Cauchy problem.
ISSN:2391-5455

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