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

Giuseppe Maria Coclite, Lorenzo di Ruvo

Type: Article

Publication Date: 2015-06-01

Citations: 20

DOI: https://doi.org/10.1142/s021989161550006x

Abstract

The Ostrovsky–Hunter equation provides a model for small-amplitude long waves in a rotating fluid of finite depth. It is a nonlinear evolution equation. Here the well-posedness of bounded solutions for a non-homogeneous initial-boundary value problem associated with this equation is studied.

Locations

Journal of Hyperbolic Differential Equations - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Wellposedness of bounded solutions of the non-homogeneous initial boundary value problem for the Ostrovsky-Hunter equation	2013	Giuseppe Maria Coclite Lorenzo di Ruvo
+	Wellposedness of bounded solutions of the non-homogeneous initial boundary value problem for the Ostrovsky-Hunter equation	2013	Giuseppe Maria Coclite Lorenzo di Ruvo
+	Some Wellposedness Results for the Ostrovsky–Hunter Equation	2013	Giuseppe Maria Coclite Lorenzo di Ruvo Kenneth H. Karlsen
+	Wellposedness of the Ostrovsky-Hunter equation Under the combined effects of dissipation and short wave dispersion	2014	Giuseppe Maria Coclite Lorenzo di Ruvo
+	Oleinik type estimates for the Ostrovsky–Hunter equation	2014	Giuseppe Maria Coclite Lorenzo di Ruvo
+ PDF Chat	Well-posedness of the Initial Value Problem for the Ostrovsky–Hunter Equation with Spatially Dependent Flux	2019	Giuseppe Maria Coclite Neelabja Chatterjee Nils Henrik Risebro
+	Oleinik type estimates for the Ostrovsky-Hunter eequation	2014	Giuseppe Maria Coclite Lorenzo di Ruvo
+	The initial-boundary-value problem for an Ostrovsky–Hunter type equation	2018	Giuseppe Maria Coclite Lorenzo di Ruvo Kenneth H. Karlsen
+ PDF Chat	A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation	2020	Giuseppe Maria Coclite Lorenzo di Ruvo
+ PDF Chat	Wave Breaking in the Ostrovsky–Hunter Equation	2010	Yue Liu Dmitry E. Pelinovsky Anton Sakovich
+	The initial-boundary-value problem for an Ostrovsky–Hunter type equation	2018	Fritz Gesztesy Harald Hanche-Olsen Espen R. Jakobsen Yurii Lyubarskii Nils Henrik Risebro Kristian Seip
+ PDF Chat	Well-posedness of the Ostrovsky–Hunter Equation under the combined effects of dissipation and short-wave dispersion	2015	Giuseppe Maria Coclite Lorenzo di Ruvo
+ PDF Chat	Well-posedness of a highly nonlinear shallow water equation on the circle	2020	Nilay Duruk Mutlubaş Anna Geyer Ronald Quirchmayr
+	INITIAL VALUE PROBLEM FOR WATER WAVES AND SHALLOW WATER AND LONG WAVE APPROXIMATIONS	2013	Tatsuo Iguchi
+ PDF Chat	Cauchy problem for the Ostrovsky equation	2004	В.В. Варламов Yue Liu
+	A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain	2016	Giuseppe Maria Coclite J.K. Ridder Nils Henrik Risebro
+	Well-posedness of initial and boundary value problems for the Boltzman equation	1989	Russel E. Caflisch
+	Well-posedness and Dispersive/Diffusive Limit of a Generalized Ostrovsky–Hunter Equation	2018	Giuseppe Maria Coclite Lorenzo di Ruvo
+	Well-posedness of the Cauchy problem of a water wave equation with low regularity initial data	2006	Hua Wang Shangbin Cui
+	Well-posedness of the initial value problem for the Ostrovsky-Hunter equation with spatially dependent flux	2019	Giuseppe Maria Coclite Neelabja Chatterjee Nils Henrik Risebro

Works That Cite This (19)

Action	Title	Year	Authors
+	Discontinuous Solutions for a non-local Regularization of the Short Pulse Equation	2024	Giuseppe Maria Coclite Lorenzo di Ruvo
+ PDF Chat	Well-posedness results for the short pulse equation	2014	Giuseppe Maria Coclite Lorenzo di Ruvo
+ PDF Chat	A convergent finite difference scheme for the Ostrovsky–Hunter equation with Dirichlet boundary conditions	2019	J.K. Ridder Adrian M. Ruf
+ PDF Chat	Convergence of the regularized short pulse equation to the short pulse one	2017	Giuseppe Maria Coclite Lorenzo di Ruvo
+ PDF Chat	A singular limit problem for conservation laws related to the Rosenau–Korteweg–de Vries equation	2016	Giuseppe Maria Coclite Lorenzo di Ruvo
+	Well-posedness and Dispersive/Diffusive Limit of a Generalized Ostrovsky–Hunter Equation	2018	Giuseppe Maria Coclite Lorenzo di Ruvo
+	On the solutions for an Ostrovsky type equation	2020	Giuseppe Maria Coclite Lorenzo di Ruvo
+	On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation	2020	Giuseppe Maria Coclite Lorenzo di Ruvo
+	Linear instability and uniqueness of the peaked periodic wave in the reduced Ostrovsky equation	2018	Anna Geyer Dmitry E. Pelinovsky
+ PDF Chat	On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation	2022	Giuseppe Maria Coclite Lorenzo di Ruvo

Works Cited by This (17)

Action	Title	Year	Authors
+	On the Cauchy Problem for the Ostrovsky Equation with Positive Dispersion	2007	Guilong Gui Yue Liu
+ PDF Chat	On the stability of solitary waves for the Ostrovsky equation	2007	Yue Liu
+	Local and global well-posedness for the Ostrovsky equation	2005	Felipe Linares Aniura Milanés
+ PDF Chat	Cauchy problem for the Ostrovsky equation	2004	В.В. Варламов Yue Liu
+ PDF Chat	Stability estimates on general scalar balance laws	2008	Rinaldo M. Colombo Magali Mercier Massimiliano D. Rosini
+	Stability of solitary waves and weak rotation limit for the Ostrovsky equation	2004	Yue Liu В.В. Варламов
+ PDF Chat	Stability of Solitary Waves of a Generalized Ostrovsky Equation	2006	Steve Levandosky Yue Liu
+	Well-posedness and weak rotation limit for the Ostrovsky equation	2009	Kotaro Tsugawa
+	First order quasilinear equations with boundary conditions	1979	Claude Bardos Alain Leroux Jean-Claude Nédélec
+	Computational solution of nonlinear systems of equations	1990	Eugene L. Allgower Kurt Georg