Well-posedness of bounded solutions of the non-homogeneous initial-boundary value problem for the Ostrovsky–Hunter equation

DOI10.1142/S021989161550006XzbMath1330.35084arXiv1310.7013WikidataQ115245220 ScholiaQ115245220MaRDI QIDQ2948898

Giuseppe Maria Coclite, Lorenzo di Ruvo

Publication date: 6 October 2015

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7013

zbMATH Keywords

stabilityentropy solutionssmall-amplitude long waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (17)

A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation ⋮ Well-posedness and dispersive/diffusive limit of a generalized Ostrovsky-Hunter equation ⋮ On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation ⋮ Dispersive and diffusive limits for Ostrovsky-Hunter type equations ⋮ Unnamed Item ⋮ On the solutions for an Ostrovsky type equation ⋮ Oleinik type estimates for the Ostrovsky-Hunter equation ⋮ Linear Instability and Uniqueness of the Peaked Periodic Wave in the Reduced Ostrovsky Equation ⋮ Well-posedness results for the short pulse equation ⋮ Wellposedness of bounded solutions of the non-homogeneous initial boundary for the short pulse equation ⋮ Well-posedness of the Ostrovsky-Hunter equation under the combined effects of dissipation and short-wave dispersion ⋮ A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain ⋮ A singular limit problem for conservation laws related to the Rosenau-Korteweg-de Vries equation ⋮ A convergent finite difference scheme for the Ostrovsky-Hunter equation with Dirichlet boundary conditions ⋮ A non-local elliptic-hyperbolic system related to the short pulse equation ⋮ Well-posedness of the initial value problem for the Ostrovsky-Hunter equation with spatially dependent flux ⋮ On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation

Cites Work

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