We consider an Ostrovsky-Hunter type equation, which also includes the short pulse equation, or the Kozlov-Sazonov equation. We prove the well-posedness of the entropy solution for the non-homogeneous initial boundary value problem. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method.

A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - 13:12(2020), pp. 3357-3389. [10.3934/dcdss.2020236]

A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation

Giuseppe Maria Coclite
;
2020-01-01

Abstract

We consider an Ostrovsky-Hunter type equation, which also includes the short pulse equation, or the Kozlov-Sazonov equation. We prove the well-posedness of the entropy solution for the non-homogeneous initial boundary value problem. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method.
2020
A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - 13:12(2020), pp. 3357-3389. [10.3934/dcdss.2020236]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/206081
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