On the periodic Zakharov-Kuznetsov equation

Felipe Linares, Mahendra Panthee, Tristan Robert, Nikolay Tzvetkov

Type: Preprint

Publication Date: 2018-09-06

Citations: 2

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	On the periodic Zakharov-Kuznetsov equation	2018	Felipe Linares Mahendra Panthee Tristan Robert Nikolay Tzvetkov
+ PDF Chat	On the periodic Zakharov-Kuznetsov equation	2019	Felipe Linares Mahendra Panthee Tristan Robert Nikolay Tzvetkov
+ PDF Chat	Local well-posedness for the Zakharov-Kuznetsov equation on the background of a bounded function	2024	José M. Palacios
+	Local well-posedness for the Zakharov-Kuznetsov equation on the background of a bounded function	2022	José Manuel Palacios
+	Local well-posedness for the Zakharov-Kuznetsov equation in Sobolev spaces	2022	Osawa Satoshi
+ PDF Chat	Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$	2025	Gonzalo Cao-Labora
+	Local well-posedness for the Zakharov system on multidimensional torus	2011	Nobu Kishimoto
+	Polynomial Growth of high Sobolev Norms of solutions to the Zakharov-Kuznetsov Equation	2019	Raphaël Côte Frédéric Valet
+ PDF Chat	Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation	2020	S. Kinoshita Robert Schippa
+ PDF Chat	Polynomial growth of high sobolev norms of solutions to the Zakharov-Kuznetsov equation	2021	Raphaël Côte Frédéric Valet
+	Regular solutions of the 2D Zakharov–Kuznetsov equation on a half-strip	2012	Nikolai A. Larkin Eduardo Tronco
+	Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher	2020	Sebastian Herr S. Kinoshita
+ PDF Chat	On local energy decay for large solutions of the Zakharov-Kuznetsov equation	2021	Argenis J. Mendez Claudio Muñoz Felipe Poblete Juan C. Pozo
+	The IVP for a periodic generalized ZK equation	2023	Carolina Albarracin Guillermo Rodrı́guez-Blanco
+ PDF Chat	Remarks on periodic Zakharov systems	2022	Nobu Kishimoto
+	The Zakharov system in dimension $d \geqslant 4$	2019	Timothy Candy Sebastian Herr Kenji Nakanishi
+	The posedness of the periodic initial value problem for generalized Zakharov equations	2009	Shujun You
+	An initial and boundary-value problem for the Zakharov-Kuznestov equation in a bounded domain	2012	Jean‐Claude Saut Roger Témam Chuntian Wang
+ PDF Chat	On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation	2023	Argenis J. Mendez
+	The Cauchy problem for a class of linear degenerate evolution equation on the torus	2022	Alexandre Arias Bruno de Lessa Victor

Works That Cite This (2)

Action	Title	Year	Authors
+ PDF Chat	On short-time bilinear Strichartz estimates and applications to the Shrira equation	2020	Robert Schippa
+ PDF Chat	On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations	2020	Robert Schippa

Works Cited by This (16)

Action	Title	Year	Authors
+	Introduction to Nonlinear Dispersive Equations	2009	Felipe Linares Gustavo Ponce
+	The Cauchy problem for the 3D Zakharov-Kuznetsov equation	2009	Felipe Linares Jean‐Claude Saut
+	On the Cauchy problem for the Kadomstev-Petviashvili equation	1993	Jean Bourgain
+ PDF Chat	On the local and global well-posedness theory for the KP-I equation	2004	Carlos E. Kenig
+	Well-Posedness Results for the Three-Dimensional Zakharov--Kuznetsov Equation	2012	Francis Ribaud Stéphane Vento
+ PDF Chat	Bilinear Strichartz estimates for the Zakharov–Kuznetsov equation and applications	2014	Didier Pilod Luc Molinet
+	The initial-value problem for the Korteweg-de Vries equation	1975	Jerry L. Bona R. Jeffrey Smith
+ PDF Chat	On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations	2003	Carlos E. Kenig Kenneth D. Koenig
+	Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton	2010	Felipe Linares Ademir Pastor Jean–Claude Saut
+	Commutator estimates and the euler and navier‐stokes equations	1988	Tosio Kato Gustavo Ponce