H1-perturbations of Smooth Solutions for a Weakly Dissipative Hyperelastic-rod Wave Equation

Mostafa Bendahmane, Giuseppe Maria Coclite, Kenneth H. Karlsen

Type: Article

Publication Date: 2006-11-01

Citations: 8

DOI: https://doi.org/10.1007/s00009-006-0088-4

View Publication

Download PDF

Locations

Mediterranean Journal of Mathematics - View
CiteSeer X (The Pennsylvania State University) - View - PDF
Duo Research Archive (University of Oslo) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation	2005	Giuseppe Maria Coclite Helge Holden Kenneth H. Karlsen
+	Existence of Global Weak Solutions to a Generalized Hyperelastic-Rod Wave Equation with Source	2014	Fabio Ancona Giuseppe Maria Coclite
+ PDF Chat	On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation	2014	Haibo Yan Ls Yong Yu Hai Yang Yan Wang
+	Asymptotic Stabilization of weak solutions to a generalized hyperelastic-rod wave equation: dissipative semigroup	2013	Fabio Ancona Giuseppe Maria Coclite
+ PDF Chat	Wave-Breaking Criterion for the Generalized Weakly Dissipative Periodic Two-Component Hunter-Saxton System	2013	Jianmei Zhang Lixin Tian
+	Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation revisited	2015	Zaiyun Zhang Jianhua Huang Mingbao Sun
+	Wave breaking phenomena and global existence for the weakly dissipative generalized Camassa-Holm equation	2021	Yonghui Zhou Shuguan Ji
+	Wave-breaking phenomena and Gevrey regularity for the weakly dissipative generalized Camassa–Holm equation	2023	Zhenyu Wan Ying Wang Min Zhu
+	Wave Breaking and Global Existence for a Generalized Two-Component Camassa-Holm System	2010	Ruimin Chen Yan Liu
+	Wave breaking for a generalized weakly dissipative two-component Camassa–Holm system	2012	Wenxia Chen Lixin Tian Xiaoyan Deng Jianmei Zhang
+	On local-in-space blow-up scenarios for a weakly dissipative rotation-Camassa–Holm equation	2019	Xiaofang Dong
+ PDF Chat	Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation	2013	Yongsheng Mi Chunlai Mu
+	On blow-up phenomena for the weakly dissipative Camassa–Holm equation	2012	Emil Novruzov
+	Blowup and Decay of Solution to the Weakly Dissipative Camassa-Holm Equation	2007	Shuyin Wu
+ PDF Chat	Blow-up for the weakly dissipative generalized Camassa-Holm equation	2014	Yantao Guo Yanbin Tang
+	Blow up and Blow-up Rate for the Generalized 2-component Camassa-Holm Equation	2011	Wenxia Chen Xiaoyan Deng Jianmei Zhang
+	Orbital stability of the sum of N solitary waves for the hyperelastic-rod wave equation	2015	Xingxing Liu
+	Damped wave equations with fast growing dissipative nonlinearities	2009	Alexandre N. Carvalho Jan W. Cholewa Tomasz Dłotko
+	Large-time behavior of strong solutions to the compressible magnetohydrodynamic system in the critical framework	2018	Weixuan Shi Jiang Xu
+	Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics	2013	Katrin Grunert Helge Holden Xavier Raynaud

Works That Cite This (7)

Action	Title	Year	Authors
+	Asymptotic stability and instability of explicit self-similar waves for a class of nonlinear shallow water equations	2019	Hengyan Li Weiping Yan
+	Non-uniform dependence and well-posedness for the hyperelastic rod equation	2010	David Karapetyan
+ PDF Chat	Asymptotic Stability of Singular Solution for Camassa-Holm Equation	2021	Yuetian Gao
+	Solutions for KMM System and Generalized Hyperelastic-Rod Wave Equation	2022	Şeyma Tülüce Demiray Emre CEREN
+ PDF Chat	Global conservative solutions to the Camassa--Holm equation for initial data with nonvanishing asymptotics	2012	Xavier Raynaud Helge Holden Katrin Grunert
+	A New Mathematical Model for Nonlinear Wave in a Hyperelastic Rod and Its Analytic Approximate Solution	2014	Sunil Kumar
+	Existence of Global Weak Solutions to a Generalized Hyperelastic-Rod Wave Equation with Source	2014	Fabio Ancona Giuseppe Maria Coclite

Works Cited by This (16)

Action	Title	Year	Authors
+	Symplectic structures, their Bäcklund transformations and hereditary symmetries	1981	Benno Fuchssteiner A. S. Fokas
+ PDF Chat	A few remarks on the Camassa-Holm equation	2001	Raphaël Danchin
+	A note on well-posedness for Camassa–Holm equation	2003	Raphaël Danchin
+	ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION	2002	Zhouping Xin Ping Zhang
+	Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods	1998	Hui–Hui Dai
+	Global Weak Solutions for a Shallow Water Equation	2000	Adrian Constantin Luc Molinet
+ PDF Chat	Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation	2005	Giuseppe Maria Coclite Helge Holden Kenneth H. Karlsen
+ PDF Chat	An integrable shallow water equation with peaked solitons	1993	Roberto Camassa Darryl D. Holm
+	New compacton solutions and solitary wave solutions of fully nonlinear generalized Camassa–Holm equations	2003	Lixin Tian Jiuli Yin
+	Solitary shock waves and other travelling waves in a general compressible hyperelastic rod	2000	Hui–Hui Dai Yi Huo