Roberto Camassa

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All published works

Action	Title	Year	Authors
+ PDF Chat	A Hamiltonian set-up for 4-layer density stratified Euler fluids	2024	Roberto Camassa G. Falqui G. Ortenzi Marco Pedroni T. T. Vu Ho
+ PDF Chat	Diffusion-limited settling of highly porous particles in density-stratified fluids	2024	Robert Hunt Roberto Camassa Richard M. McLaughlin Daniel M. Harris
+	Hamiltonian shocks	2024	Russell Arnold Roberto Camassa Lingyun Ding
+ PDF Chat	Simple two-layer dispersive models in the Hamiltonian reduction formalism	2023	Roberto Camassa Gregorio Falqui G. Ortenzi Marco Pedroni T. T. Vu Ho
+	Tauberian identities and the connection to Wile E. Coyote physics	2023	Roberto Camassa Richard M. McLaughlin
+ PDF Chat	Numerical algorithms for water waves with background flow over obstacles and topography	2022	David M. Ambrose Roberto Camassa Jeremy L. Marzuola Richard M. McLaughlin Q. Robinson Jon Wilkening
+ PDF Chat	Evolution of interface singularities in shallow water equations with variable bottom topography	2022	Roberto Camassa R. D'Onofrio Gregorio Falqui G. Ortenzi Marco Pedroni
+	Critical density triplets for the arrestment of a sphere falling in a sharply stratified fluid	2022	Roberto Camassa Lingyun Ding Richard M. McLaughlin Robert A. Overman Richard A. Parker Ashwin Vaidya
+ PDF Chat	Critical Density Triplets for the Arrestment of a Sphere Falling in a Sharply Stratified Fluid	2022	Roberto Camassa Lingyun Ding Richard M. McLaughlin Robert A. Overman Richard Parker Ashwin Vaidya
+ PDF Chat	Persisting asymmetry in the probability distribution function for a random advection–diffusion equation in impermeable channels	2021	Roberto Camassa Lingyun Ding Zeliha Kilic Richard M. McLaughlin
+	Numerical Algorithms for Water Waves with Background Flow over Obstacles and Topography	2021	David M. Ambrose Roberto Camassa Jeremy L. Marzuola Richard M. McLaughlin Q. Robinson Jon Wilkening
+ PDF Chat	On the “Vacuum” Dam-Break Problem: Exact Solutions and Their Long Time Asymptotics	2020	Roberto Camassa Gregorio Falqui G. Ortenzi Marco Pedroni Giuseppe Pitton
+ PDF Chat	On the Geometry of Extended Self-Similar Solutions of the Airy Shallow Water Equations	2019	Roberto Camassa Gregorio Falqui G. Ortenzi Marco Pedroni
+ PDF Chat	Singularity formation as a wetting mechanism in a dispersionless water wave model	2019	Roberto Camassa Gregorio Falqui G. Ortenzi Marco Pedroni Giuseppe Pitton
+ PDF Chat	On the symmetry properties of a random passive scalar with and without boundaries, and their connection between hot and cold states	2019	Roberto Camassa Zeliha Kilic Richard M. McLaughlin
+	Cluster formation and self-assembly in stratified fluids: a novel mechanism for particulate aggregation	2019	Roberto Camassa Daniel M. Harris Robert Hunt Zeliha Kilic Richard M. McLaughlin
+ PDF Chat	Hydrodynamic Models and Confinement Effects by Horizontal Boundaries	2018	Roberto Camassa Gregorio Falqui G. Ortenzi Marco Pedroni C. J. Thomson
+	A Particle Method and Numerical Study of a Quasilinear Partial Differential Equation	2018	Roberto Camassa Po-Jung Chiu Long Lee Tony W. H. Sheu
+	Experimental investigation of nonlinear internal waves in deep water with miscible fluids	2018	Roberto Camassa Matthew W. Hurley Richard M. McLaughlin Pierre-Yves Passaggia Colin Thomson
+	Experimental investigation of nonlinear internal waves in deep water with miscible fluids	2018	Roberto Camassa Matthew W. Hurley Richard M. McLaughlin Pierre-Yves Passaggia Colin Thomson
+	Connecting Ellipses to Rectangles in Passive Scalar Transport	2017	Manuchehr Aminian Francesca Bernardi Roberto Camassa D. B. Harris Richard M. McLaughlin
+	A Geodesic Landmark Shooting Algorithm for Template Matching and Its Applications	2017	Roberto Camassa Dongyang Kuang Long Lee
+	Mass distribution and skewness for passive scalar transport in pipes with polygonal and smooth cross-sections	2017	Manuchehr Aminian Roberto Camassa Richard M. McLaughlin
+ PDF Chat	Two-layer interfacial flows beyond the Boussinesq approximation: a Hamiltonian approach	2016	Roberto Camassa Gregorio Falqui G. Ortenzi
+	Solitary Waves and <i>N</i>‐Particle Algorithms for a Class of Euler–Poincaré Equations	2016	Roberto Camassa Dongyang Kuang Long Lee
+	Two-layer interfacial flows beyond the Boussinesq approximation: a Hamiltonian approach	2015	Roberto Camassa Gregorio Falqui G. Ortenzi
+	A class of fast geodesic shooting algorithms for template matching and its applications via the $N$-particle system of the Euler-Poincaré equations	2015	Roberto Camassa Dongyang Kuang Long Lee
+	On variational formulations and conservation laws for incompressible 2D Euler fluids	2014	Roberto Camassa Gregorio Falqui G. Ortenzi Marco Pedroni
+	A connection between the shallow-water equations and the Euler-Poincaré equations	2014	Roberto Camassa Long Lee
+	Solitary waves and $N$-particle algorithms for a class of Euler-Poincaré equations	2014	Roberto Camassa Dongyang Kuang Long Lee
+	The trapping and escape of buoyant vortex rings in sharply stratified fluids	2011	Roberto Camassa Shilpa Khatri Richard M. McLaughlin Keith Mertens E.M. Monbureau David Nenon C. R. Smith Claudio Viotti Brian White
+ PDF Chat	A particle method and numerical study of a quasilinear partial differential equation	2011	Roberto Camassa Pao‐Hsiung Chiu Long Lee Wen-Hann Sheu
+ PDF Chat	Viscous and inviscid regularizations in a class of evolutionary partial differential equations	2010	Roberto Camassa Pao‐Hsiung Chiu Long Lee Tony W. H. Sheu
+	Vortex Induced Oscillations of Cylinders	2008	Roberto Camassa Bong Jae Chung Greg Gipson Richard M. McLaughlin Ashwin Vaidya
+ PDF Chat	On a Completely Integrable Numerical Scheme for a Nonlinear Shallow-Water Wave Equation	2005	Roberto Camassa Jingfang Huang Long Lee
+	Characteristics and the initial value problem of a completely integrable shallow water equation	2003	Roberto Camassa
+ PDF Chat	The Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE's¶of Shallow Water and Dym Type	2001	Mark Alber Roberto Camassa Yuri N. Fedorov Darryl D. Holm Jerrold E. Marsden
+	On the initial value problem for a completely integrable shallow water wave equation	2001	Roberto Camassa A. I. Zenchuk
+ PDF Chat	The Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE's¶of Shallow Water and Dym Type	2001	Mark Alber Roberto Camassa Yu. V. Fedorov Darryl D. Holm Jerrold E. Marsden
+ PDF Chat	Billiard weak solutions of nonlinear PDE’s and Toda flows	2000	Mark Alber Roberto Camassa Michael Gekhtman
+	CHARACTERISTIC VARIABLES FOR A COMPLETELY INTEGRABLE SHALLOW WATER EQUATION	2000	Roberto Camassa
+	On billiard weak solutions of nonlinear PDE's and Toda flows	2000	Mark Alber Roberto Camassa Michael Gekhtman
+ PDF Chat	On billiard solutions of nonlinear PDEs	1999	Mark Alber Roberto Camassa Yuri N. Fedorov Darryl D. Holm Jerrold E. Marsden
+ PDF Chat	Self-Consistent Multiscale Theory of Internal Wave, Mean-Flow Interactions	1999	Darryl D. Holm Alejandro Aceves Jeffrey S. Allen Mark Alber Roberto Camassa Hernán Cendra S. Chen Jinqiao Duan Bruce R. Fabijonas Ciprian Foiaş
+ PDF Chat	On billiard solutions of nonlinear PDEs	1999	Mark Alber Roberto Camassa Yu. V. Fedorov Darryl D. Holm Jerrold E. Marsden
+	Nonlinear waves and solitons in physical systems	1998	Roberto Camassa James M. Hyman Benjamin P. Luce
+	Numerical Algorithms for the Direct Spectral Transform with Applications to Nonlinear Schrödinger Type Systems	1998	Sergey Burtsev Roberto Camassa Ilya Timofeyev
+	The fundamental role of solitons in nonlinear dispersive partial differential equations	1998	James M. Hyman Roberto Camassa Fred Cooper Philip Rosenau Avinash Khare
+ PDF Chat	A Melnikov Method for Homoclinic Orbits with Many Pulses	1998	Roberto Camassa Gregor Kovačič Siu-Kei Tin
+	for Homoclinic Orbits with Many Pulses	1998	Roberto Camassa Gregor Kovačič Siu-Kei Tin
+ PDF Chat	Applied mathematics of chaotic systems	1996	Erica Jen Mark Alber Roberto Camassa Wonjun Choi James P. Crutchfield Darryl D. Holm Gregor Kovačič Jerrold E. Marsden
+	Weakly nonlinear internal waves in a two-fluid system	1996	Wooyoung Choi Roberto Camassa
+	On the link between umbilic geodesics and soliton solutions of nonlinear PDEs	1995	Mark Alber Roberto Camassa Darryl D. Holm Jerrold E. Marsden
+	The geometry of weak solutions of certain integrable nonlinar PDE`s	1994	Alder Roberto Camassa Darryl D. Holm Jerrold E. Marsden
+ PDF Chat	The geometry of peaked solitons and billiard solutions of a class of integrable PDE's	1994	Mark Alber Roberto Camassa Darryl D. Holm Jerrold E. Marsden
+ PDF Chat	An integrable shallow water equation with peaked solitons	1993	Roberto Camassa Darryl D. Holm

Common Coauthors

Coauthor	Papers Together
Richard M. McLaughlin	15
G. Ortenzi	10
Darryl D. Holm	10
Mark Alber	10
Long Lee	9
Jerrold E. Marsden	9
Gregorio Falqui	9
Marco Pedroni	8
Gregor Kovačič	4
Dongyang Kuang	4
Lingyun Ding	3
Zeliha Kilic	3
Ashwin Vaidya	3
Jon Wilkening	2
Tony W. H. Sheu	2
Michael Gekhtman	2
Pierre-Yves Passaggia	2
Colin Thomson	2
David M. Ambrose	2
Pao‐Hsiung Chiu	2
Yu. V. Fedorov	2
James M. Hyman	2
Giuseppe Pitton	2
Robert A. Overman	2
T. T. Vu Ho	2
Manuchehr Aminian	2
Daniel M. Harris	2
Q. Robinson	2
Matthew W. Hurley	2
Ilya Timofeyev	2
Robert Hunt	2
Jeremy L. Marzuola	2
Yuri N. Fedorov	2
Wooyoung Choi	1
Tudor S. Raţiu	1
Erica Jen	1
Greg Gipson	1
Alexander Lifschitz	1
Shilpa Khatri	1
Richard A. Parker	1
G. Falqui	1
Eric J. Olson	1
P. A. Newberger	1
Edriss S. Titi	1
C. David Levermore	1
Po-Jung Chiu	1
S. Wynn	1
Jingfang Huang	1
C. J. Thomson	1
Ciprian Foiaş	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	9
+ PDF Chat	Two-layer interfacial flows beyond the Boussinesq approximation: a Hamiltonian approach	2016	Roberto Camassa Gregorio Falqui G. Ortenzi	6
+ PDF Chat	The geometry of peaked solitons and billiard solutions of a class of integrable PDE's	1994	Mark Alber Roberto Camassa Darryl D. Holm Jerrold E. Marsden	6
+ PDF Chat	Hydrodynamic Models and Confinement Effects by Horizontal Boundaries	2018	Roberto Camassa Gregorio Falqui G. Ortenzi Marco Pedroni C. J. Thomson	5
+	Characteristics and the initial value problem of a completely integrable shallow water equation	2003	Roberto Camassa	4
+ PDF Chat	<b><i>N</i></b>-particle dynamics of the Euler equations for planar diffeomorphisms	2007	Robert I. McLachlan Stephen Marsland	4
+	On a completely integrable nonlinear hyperbolic variational equation	1994	John K. Hunter Yuxi Zheng	4
+	Geodesic Shooting for Computational Anatomy	2006	Michael I. Miller Alain Trouvé Laurent Younès	4
+	Effects of inertia and stratification in incompressible ideal fluids: pressure imbalances by rigid confinement	2013	Roberto Camassa S. Chen Gregorio Falqui G. Ortenzi Marco Pedroni	4
+ PDF Chat	Soliton dynamics in computational anatomy	2004	Darryl D. Holm J. Tilak Ratnanather Alain Trouvé Laurent Younès	4
+ PDF Chat	Dispersive dam-break and lock-exchange flows in a two-layer fluid	2011	J. G. Esler James Douglas Pearce	4
+	On the link between umbilic geodesics and soliton solutions of nonlinear PDEs	1995	Mark Alber Roberto Camassa Darryl D. Holm Jerrold E. Marsden	4
+	On variational formulations and conservation laws for incompressible 2D Euler fluids	2014	Roberto Camassa Gregorio Falqui G. Ortenzi Marco Pedroni	4
+	Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations	1964	Peter D. Lax	4
+	On the vacuum state for the isentropic gas dynamics equations	1980	T.-P Liu Joel Smoller	4
+	Nonlinear wave equations	2008	Martin D. Kruskal	4
+	A dispersion-relation-preserving algorithm for a nonlinear shallow-water wave equation	2009	Pao‐Hsiung Chiu Long Lee Tony W. H. Sheu	3
+ PDF Chat	The Stability of Large‐Amplitude Shallow Interfacial Non‐Boussinesq Flows	2011	Anakewit Boonkasame Paul A. Milewski	3
+ PDF Chat	Mathematics of dispersive water waves	1985	Boris A. Kupershmidt	3
+	Stationary Harry-Dym's equation and its relation with geodesics on ellipsoid	1990	Cao Cewen	3
+ PDF Chat	On a Completely Integrable Numerical Scheme for a Nonlinear Shallow-Water Wave Equation	2005	Roberto Camassa Jingfang Huang Long Lee	3
+ PDF Chat	Singularity formation as a wetting mechanism in a dispersionless water wave model	2019	Roberto Camassa Gregorio Falqui G. Ortenzi Marco Pedroni Giuseppe Pitton	3
+	A simple model of the integrable Hamiltonian equation	1978	Franco Magri	3
+ PDF Chat	An inertia ‘paradox’ for incompressible stratified Euler fluids	2012	R. Camassa S. Chen G. Falqui G. Ortenzi Marco Pedroni	3
+ PDF Chat	On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations	2015	Boris Dubrovin Тамара Грава Christian Klein Antonio Moro	3
+	On a completely integrable nonlinear hyperbolic variational equation	1994	John K. Hunter Yuxi Zheng	3
+	Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation	1985	Эмма Превиато	3
+ PDF Chat	Peakons, r-matrix and Toda lattice	1996	O. Ragnisco M. Bruschi	3
+	Model equations for long waves in nonlinear dispersive systems	1972	T. Brooke Benjamin Jerry L. Bona J. J. Mahony	3
+	Investigation of Equations of Korteweg-De Vries Type by the Method of Recurrence Relations	1979	Stefan Alber	3
+ PDF Chat	Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs	2003	Darryl D. Holm Martin Staley	3
+	THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD	1991	S. P. Tsarëv	3
+	Weakly nonlinear internal waves in a two-fluid system	1996	Wooyoung Choi Roberto Camassa	3
+ PDF Chat	Geometric Phases and Monodromy at Singularities	1994	Mark Alber Jerrold E. Marsden	2
+ PDF Chat	Multi-bump orbits homoclinic to resonance bands	1996	Tasso J. Kaper Gregor Kovačič	2
+	The Existence of Homoclinic Orbits and the Method of Melnikov for Systems in $R^n$	1985	Joseph Gruendler	2
+ PDF Chat	Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems	1982	Philip Holmes Jerrold E. Marsden	2
+	Peakon solutions of the shallow water equation	2001	Mark Alber Charles A. Miller	2
+	A Convenient Method for Generating Normal Variables	1964	George Marsaglia T. A. Bray	2
+	Interaction Dynamics of Singular Wave Fronts	2013	Darryl D. Holm Martin Staley	2
+	Tracking Invariant Manifolds up to Exponentially Small Errors	1996	Christopher K. R. T. Jones Tasso J. Kaper Nancy Kopell	2
+	Geometric singular perturbation theory for ordinary differential equations	1979	Neil Fenichel	2
+ PDF Chat	Splash singularity for water waves	2012	Ángel Castro Diego Córdoba Charles Fefferman Francisco Gancedo Javier Gómez-Serrano	2
+	Local and global behavior near homoclinic orbits	1984	Paul Glendinning Colin Sparrow	2
+	Dissipative dynamics of orbits homoclinic to a resonance band	1992	Gregor Kovačič	2
+	Hamiltonian dynamics of orbits homoclinic to a resonance band	1992	Gregor Kovačič	2
+	Diffeomorphisms with Many Periodic Points	1965	Stephen T. Smale	2
+	A Hamiltonian Regularization of the Burgers Equation	2006	Harish S. Bhat Razvan C. Fetecau	2
+	Landmark matching via large deformation diffeomorphisms	2000	Sarang Joshi Michael I. Miller	2
+ PDF Chat	On geometric phases for soliton equations	1992	Mark Alber Jerrold E. Marsden	2