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 , and on the coefficients of such equation, we prove the well-posedness of the classical solutions for the Cauchy problem.
On H^2-solutions for a Camassa-Holm type equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: OPEN MATHEMATICS. - ISSN 2391-5455. - ELETTRONICO. - 21:1(2023), pp. 20220577-20220597. [10.1515/math-2022-0577]
On H^2-solutions for a Camassa-Holm type equation
Coclite, Giuseppe Maria
;
2023
Abstract
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 , and on the coefficients of such equation, we prove the well-posedness of the classical solutions for the Cauchy problem.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
