The Degasperis–Procesi equation can be regarded as a model for shallow water dynamics and its asymptotic accuracy is the same as for the Camassa–Holm equation. Here we consider a generalization of the Degasperis–Procesi equation and prove the existence and uniqueness of H2 solutions for the Cauchy problem.
H2 solutions for a Degasperis–Procesi-type equation / Coclite, Giuseppe Maria; Di Ruvo, Lorenzo. - In: RENDICONTI DEL SEMINARIO MATEMATICO DELL'UNIVERSITA' DI PADOVA. - ISSN 0041-8994. - STAMPA. - 153:(2025), pp. 221-241. [10.4171/rsmup/158]
H2 solutions for a Degasperis–Procesi-type equation
Coclite, Giuseppe Maria
;
2025
Abstract
The Degasperis–Procesi equation can be regarded as a model for shallow water dynamics and its asymptotic accuracy is the same as for the Camassa–Holm equation. Here we consider a generalization of the Degasperis–Procesi equation and prove the existence and uniqueness of H2 solutions for the Cauchy problem.File in questo prodotto:
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