On the well-posedness, ill-posedness and norm-inflation for a higher order water wave model on a periodic domain

Xavier Carvajal, Mahendra Panthee, Ricardo A. Pastrán

Type: Article

Publication Date: 2019-12-06

Citations: 3

DOI: https://doi.org/10.1016/j.na.2019.111713

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arXiv (Cornell University) - View - PDF
Nonlinear Analysis - View

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Works Cited by This (17)

Action	Title	Year	Authors
+	Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear Theory	2002	Jerry L. Bona Chen Chen Saut
+	Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: The periodic case	2012	Luc Molinet Stéphane Vento
+	Taylor Series Expansion for Solutions of the Korteweg-deVries Equation with Respect to Their Initial Values	1995	B.Y. Zhang
+	Ill-Posedness Issues for the Benjamin--Ono and Related Equations	2001	Luc Molinet Jean‐Claude Saut Nikolay Tzvetkov
+	Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation	2005	Ioan Bejenaru Terence Tao
+	Sharp ill-posedness result for the periodic Benjamin–Ono equation	2009	Luc Molinet
+	Periodic Korteweg de Vries equation with measures as initial data	1997	Jean Bourgain
+	The initial-value problem for the Korteweg-de Vries equation	1975	Jerry L. Bona R. Jeffrey Smith
+	Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation	2002	Luc Molinet Jean‐Claude Saut Nikolay Tzvetkov
+	Sharp well-posedness results for the BBM equation	2008	Jerry L. Bona Nikolay Tzvetkov