A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation
Giuseppe Maria Coclite, Lorenzo di Ruvo
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.
Topics & Concepts
A priori and a posterioriHomogeneousCompact spaceMathematicsBoundary value problemType (biology)Entropy (arrow of time)Mathematical analysisA priori estimateApplied mathematicsPhysicsCombinatoricsThermodynamicsEcologyPhilosophyBiologyEpistemologyAdvanced Mathematical Physics Problemsadvanced mathematical theoriesDifferential Equations and Boundary Problems