Xavier Raynaud

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All published works

Action	Title	Year	Authors
+	A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa–Holm system	2021	Sondre Tesdal Galtung Xavier Raynaud
+	Well-posedness and convergence of a variational discretization of the Camassa-Holm equation	2020	Sondre Tesdal Galtung Xavier Raynaud
+ PDF Chat	Symmetries and multipeakon solutions for the modified two-component Camassa–Holm system	2018	Katrin Grunert Xavier Raynaud
+ PDF Chat	Comparison between cell-centered and nodal-based discretization schemes for linear elasticity	2017	Halvor Møll Nilsen Jan M. Nordbotten Xavier Raynaud
+ PDF Chat	Combining the modified discrete element method with the virtual element method for fracturing of porous media	2017	Halvor Møll Nilsen I. Larsen Xavier Raynaud
+	Combining the Modified Discrete Element Method with the Virtual Element Method for Fracturing of Porous Media	2017	Halvor Møll Nilsen I. Larsen Xavier Raynaud
+ PDF Chat	Combining the Modified Discrete Element Method with the Virtual Element Method for Fracturing of Porous Media	2016	Halvor Møll Nilsen Xavier Raynaud I. Larsen
+	On the use of the Virtual Element Method for geomechanics on reservoir grids	2016	Odd Andersen Halvor Møll Nilsen Xavier Raynaud
+	Virtual Element Method for geomechanics on reservoir grids	2016	Odd Andersen Halvor Møll Nilsen Xavier Raynaud
+ PDF Chat	A CONTINUOUS INTERPOLATION BETWEEN CONSERVATIVE AND DISSIPATIVE SOLUTIONS FOR THE TWO-COMPONENT CAMASSA–HOLM SYSTEM	2015	Katrin Grunert Helge Holden Xavier Raynaud
+ PDF Chat	A multi-symplectic numerical integrator for the two-component Camassa–Holm equation	2014	David Cohen Takayasu Matsuo Xavier Raynaud
+	A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system	2014	Katrin Grunert Helge Holden Xavier Raynaud
+ PDF Chat	Global dissipative solutions of the two-component Camassa–Holm system for initial data with nonvanishing asymptotics	2014	Katrin Grunert Helge Holden Xavier Raynaud
+ PDF Chat	Periodic conservative solutions for the two-component Camassa–Holm system	2013	Katrin Grunert Helge Holden Xavier Raynaud
+	Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics	2013	Katrin Grunert Helge Holden Xavier Raynaud
+ PDF Chat	Lipschitz metric for the Camassa--Holm equation on the line	2013	Katrin Grunert Helge Holden Xavier Raynaud
+ PDF Chat	Global conservative solutions to the Camassa--Holm equation for initial data with nonvanishing asymptotics	2012	Xavier Raynaud Helge Holden Katrin Grunert
+ PDF Chat	Convergent numerical schemes for the compressible hyperelastic rod wave equation	2012	David Cohen Xavier Raynaud
+ PDF Chat	Global Solutions for the Two-Component Camassa–Holm System	2012	Katrin Grunert Helge Holden Xavier Raynaud
+	Global solutions for the two-component Camassa-Holm system	2011	Katrin Grunert Helge Holden Xavier Raynaud
+	Convergent Numerical Schemes for the Compressible Hyperelastic Rod Wave Equation	2011	David Cohen Xavier Raynaud
+	Global conservative solutions of the Camassa-Holm equation for initial data nonvanishing asymptotics	2011	Katrin Grunert Helge Holden Xavier Raynaud
+	Global Semigroup of Conservative Solutions of the Nonlinear Variational Wave Equation	2011	Helge Holden Xavier Raynaud
+	Lipschitz metric for the Camassa-Holm equation on the line	2010	Katrin Grunert Helge Holden Xavier Raynaud
+	Geometric finite difference schemes for the generalized hyperelastic-rod wave equation	2010	David Cohen Xavier Raynaud
+	Lipschitz metric for the periodic Camassa–Holm equation	2010	Katrin Grunert Helge Holden Xavier Raynaud
+	Lipschitz metric for the periodic Camassa-Holm equation	2010	Katrin Grunert Helge Holden Xavier Raynaud
+	Lipschitz metric for the Hunter–Saxton equation	2010	Alberto Bressan Helge Holden Xavier Raynaud
+	Symmetric Waves Are Traveling Waves	2009	Mats Ehrnström Helge Holden Xavier Raynaud
+ PDF Chat	Dissipative solutions for the Camassa-Holm equation	2009	Helge Holden Xavier Raynaud
+	Symmetric waves are traveling waves	2009	Mats Ehrnström Helge Holden Xavier Raynaud
+	Global semigroup of conservative solutions of the nonlinear variational wave equation	2009	Helge Holden Xavier Raynaud
+	Global Dissipative Multipeakon Solutions of the Camassa–Holm Equation	2008	Helge Holden Xavier Raynaud
+	Multi-symplectic integration of the Camassa–Holm equation	2008	David Cohen Brynjulf Owren Xavier Raynaud
+ PDF Chat	Periodic conservative solutions of the Camassa–Holm equation	2008	Helge Holden Xavier Raynaud
+	A Numerical Scheme Based on Multipeakons for Conservative Solutions of the Camassa–Holm Equation	2008	Helge Holden Xavier Raynaud
+	Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View	2007	Helge Holden Xavier Raynaud
+	GLOBAL CONSERVATIVE MULTIPEAKON SOLUTIONS OF THE CAMASSA–HOLM EQUATION	2007	Helge Holden Xavier Raynaud
+ PDF Chat	On the rate of convergence of a collocation projection of the KdV equation	2007	Henrik Kalisch Xavier Raynaud
+	Global conservative solutions of the generalized hyperelastic-rod wave equation	2006	Helge Holden Xavier Raynaud
+	Convergence of a spectral projection of the Camassa‐Holm equation	2006	Henrik Kalisch Xavier Raynaud
+	A convergent numerical scheme for the Camassa--Holm equation based on multipeakons	2006	Helge Holden Xavier Raynaud
+	Convergence of a Finite Difference Scheme for the Camassa–Holm Equation	2006	Helge Holden Xavier Raynaud
+	Convergence of a finite different scheme for the Camassa-Holm equation	2006	Helge Holden Xavier Raynaud
+	On a shallow water wave equation	2006	Xavier Raynaud

Common Coauthors

Coauthor	Papers Together
Helge Holden	28
Katrin Grunert	10
Halvor Møll Nilsen	6
David Cohen	5
Katrin Grunert	4
I. Larsen	3
Mats Ehrnström	2
Henrik Kalisch	2
Sondre Tesdal Galtung	2
Odd Andersen	2
Jan M. Nordbotten	1
Takayasu Matsuo	1
Alberto Bressan	1
Brynjulf Owren	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	An integrable shallow water equation with peaked solitons	1993	Roberto Camassa Darryl D. Holm	28
+	Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View	2007	Helge Holden Xavier Raynaud	24
+ PDF Chat	Global Conservative Solutions of the Camassa–Holm Equation	2006	Alberto Bressan Adrian Constantin	23
+ PDF Chat	GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION	2006	Alberto Bressan Adrian Constantin	18
+ PDF Chat	Wave breaking for nonlinear nonlocal shallow water equations	1998	Adrian Constantin Joachim Escher	17
+	GLOBAL CONSERVATIVE MULTIPEAKON SOLUTIONS OF THE CAMASSA–HOLM EQUATION	2007	Helge Holden Xavier Raynaud	14
+	Global existence and blow-up for a shallow water equation	1998	Adrian Constantin Joachim Escher	14
+ PDF Chat	Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation	2005	Giuseppe Maria Coclite Helge Holden Kenneth H. Karlsen	14
+	Global Weak Solutions for a Shallow Water Equation	2000	Adrian Constantin Luc Molinet	13
+	Convergence of a Finite Difference Scheme for the Camassa–Holm Equation	2006	Helge Holden Xavier Raynaud	13
+	A convergent numerical scheme for the Camassa--Holm equation based on multipeakons	2006	Helge Holden Xavier Raynaud	12
+	Global conservative solutions of the generalized hyperelastic-rod wave equation	2006	Helge Holden Xavier Raynaud	12
+ PDF Chat	Dissipative solutions for the Camassa-Holm equation	2009	Helge Holden Xavier Raynaud	11
+ PDF Chat	On an integrable two-component Camassa–Holm shallow water system	2008	Adrian Constantin Rossen I. Ivanov	10
+ PDF Chat	Periodic conservative solutions of the Camassa–Holm equation	2008	Helge Holden Xavier Raynaud	9
+	Lipschitz metric for the Hunter–Saxton equation	2010	Alberto Bressan Helge Holden Xavier Raynaud	9
+ PDF Chat	Wellposedness for a parabolic-elliptic system	2005	Giuseppe Maria Coclite Helge Holden Kenneth H. Karlsen	9
+ PDF Chat	An Optimal Transportation Metric for Solutions of the Camassa-Holm Equation	2005	Alberto Bressan Massimo Fonte	9
+ PDF Chat	Global Solutions for the Two-Component Camassa–Holm System	2012	Katrin Grunert Helge Holden Xavier Raynaud	8
+ PDF Chat	Existence of permanent and breaking waves for a shallow water equation: a geometric approach	2000	Adrian Constantin	8
+ PDF Chat	Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation	2007	Joachim Escher Olaf Lechtenfeld Zhaoyang Yin	8
+ PDF Chat	Peakon-Antipeakon Interaction	2001	Richard Beals D. H. Sattinger Jacek Szmigielski	8
+	Lipschitz metric for the periodic Camassa–Holm equation	2010	Katrin Grunert Helge Holden Xavier Raynaud	8
+ PDF Chat	The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations	2008	Adrian Constantin David Lannes	7
+	Solitary shock waves and other travelling waves in a general compressible hyperelastic rod	2000	Hui–Hui Dai Yi Huo	7
+	On the scattering problem for the Camassa-Holm equation	2001	Adrian Constantin	7
+	Symplectic structures, their Bäcklund transformations and hereditary symmetries	1981	Benno Fuchssteiner A. S. Fokas	7
+ PDF Chat	On a Completely Integrable Numerical Scheme for a Nonlinear Shallow-Water Wave Equation	2005	Roberto Camassa Jingfang Huang Long Lee	7
+	On the Cauchy problem for the two-component Camassa–Holm system	2009	Guilong Gui Yue Liu	7
+	A Numerical Scheme Based on Multipeakons for Conservative Solutions of the Camassa–Holm Equation	2008	Helge Holden Xavier Raynaud	7
+	ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION	2002	Zhouping Xin Ping Zhang	7
+	On the global existence and wave-breaking criteria for the two-component Camassa–Holm system	2010	Guilong Gui Yue Liu	7
+	On the weak solutions to a shallow water equation	2000	Zhouping Xin Ping Zhang	7
+ PDF Chat	A Two-component Generalization of the Camassa-Holm Equation and its Solutions	2006	Ming Chen Si‐Qi Liu Youjin Zhang	6
+ PDF Chat	Lipschitz metric for the Camassa--Holm equation on the line	2013	Katrin Grunert Helge Holden Xavier Raynaud	6
+ PDF Chat	A Convergent Finite Difference Scheme for the Camassa–Holm Equation with General $H^1$ Initial Data	2008	Giuseppe Maria Coclite Kenneth H. Karlsen Nils Henrik Risebro	6
+	The interaction of peakons and antipeakons	2006	Erik Wahlén	6
+ PDF Chat	On the Virtual Element Method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes	2014	Arun L. Gain Cameron Talischi Gláucio H. Paulino	6
+	Wave Breaking and Global Existence for a Generalized Two-Component Camassa-Holm System	2010	Ruimin Chen Yan Liu	6
+	Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods	1998	Hui–Hui Dai	6
+ PDF Chat	Peakon-Antipeakon Interaction	2001	Richard Beals D. H. Sattinger Jacek Szmigielski	6
+	Global existence and blow-up phenomena for an integrable two-component Camassa–Holm shallow water system	2009	Chunxia Guan Zhaoyang Yin	5
+	Conservative solution of the Camassa Holm Equation on the real line	2005	Massimo Fonte	5
+	On Solutions to a Two-Component Generalized Camassa-Holm Equation	2010	Zhengguang Guo Yong Zhou	5
+ PDF Chat	Global conservative solutions to the Camassa--Holm equation for initial data with nonvanishing asymptotics	2012	Xavier Raynaud Helge Holden Katrin Grunert	5
+	Global Conservative Solutions of the Two-Component Camassa-Holm Shallow Water System	2010	Yujuan Wang Jincun Huang Lele Chen	5
+	On the Cauchy problem for the Camassa–Holm equation	2001	Guillermo Rodrı́guez-Blanco	5
+	Well posedness and blow-up solution for a new coupled Camassa–Holm equations with peakons	2009	Ying Fu Changzheng Qu	5
+ PDF Chat	Global weak solutions for a modified two-component Camassa–Holm equation	2011	Chunxia Guan Zhaoyang Yin	5
+	Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation	1998	Adrian Constantin Joachim Escher	5