## Camassa, Roberto

Compute Distance To:
 Author ID: camassa.roberto Published as: Camassa, Roberto; Camassa, R.
 Documents Indexed: 76 Publications since 1989 2 Contributions as Editor Co-Authors: 65 Co-Authors with 72 Joint Publications 1,421 Co-Co-Authors
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### Co-Authors

 5 single-authored 19 McLaughlin, Richard M. 10 Falqui, Gregorio 10 Holm, Darryl Dallas 10 Ortenzi, Giovanni 9 Pedroni, Marco 7 Lee, Long 6 Alber, Mark S. 5 Marsden, Jerrold Eldon 4 Hyman, James M. 4 Lin, Zhi 4 Ogrosky, H. Reed 4 Viotti, Claudio 3 Chen, Shengqian 3 Marzuola, Jeremy Louis 3 Tiron, Roxana 3 Wu, Theodore Yaotsu 2 Aminian, Manuchehr 2 Chiu, Pao-Hsiung 2 Choi, Wooyoung 2 Falcon, Claudia 2 Fedorov, Yuri N. 2 Huang, Jingfang 2 Kılıç, Zeliha 2 Kuang, Dongyang 2 Levermore, C. David 2 Lin, Joyce 2 Luce, Benjamin P. 2 Moore, Matthew N. J. 2 Olander, Jeffrey 2 Pitton, Giuseppe 2 Tin, Siu-Kei 2 Vaidya, Ashwin 2 White, Brian L. 2 Wiggins, Stephen 1 Almgren, Ann S. 1 Ambrose, David M. 1 Bernardi, Francesca 1 Bronski, Jared C. 1 Chung, Bong Jae 1 Ding, Lingyun 1 Findikoglu, Alp 1 Forest, Mark Gregory 1 Gekhtman, Mikhaèl I. 1 Harris, Daniel M. 1 Ho, T. T. Vu 1 Howard, Philip 1 Kovačič, Gregor 1 Leiterman, Terry Jo 1 Lythe, Grant 1 Martinsen-Burrell, Neil 1 Mykins, Nicholas 1 Newman, William I. 1 Prairie, J. C. 1 Robinson, Quentin 1 Rusås, Per-Olav 1 Scotti, Alberto 1 Sheu, Tony Wen-Hann 1 Sheu, W. H. 1 Swygert, Sterling R. 1 Tzou, Chung-Nan 1 Vaughn, Nathan 1 Wilkening, Jon A. 1 Yu, Kuai 1 Zenchuk, Alexandre I. 1 Zhao, Longhua
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### Serials

 19 Journal of Fluid Mechanics 12 Physica D 4 Journal of Computational Physics 4 Physics of Fluids 3 Nonlinearity 3 Physics Letters. A 2 Journal of Statistical Physics 2 Studies in Applied Mathematics 2 SIAM Journal on Applied Mathematics 2 Journal of Nonlinear Science 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Wave Motion 1 Acta Applicandae Mathematicae 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Philosophical Transactions of the Royal Society of London. Series A 1 Advances in Computational Mathematics 1 Physical Review Letters 1 Journal of Nonlinear Mathematical Physics 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Sciences 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Science 1 SIAM Journal on Imaging Sciences 1 Physical Review A, Third Series 1 Journal of the Atmospheric Sciences
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### Fields

 57 Fluid mechanics (76-XX) 34 Partial differential equations (35-XX) 22 Dynamical systems and ergodic theory (37-XX) 10 Numerical analysis (65-XX) 9 Geophysics (86-XX) 8 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

66 Publications have been cited 2,676 times in 1,936 Documents Cited by Year
An integrable shallow water equation with peaked solitons. Zbl 0972.35521
Camassa, Roberto; Holm, Darryl D.
1993
A new integrable shallow water equation. Zbl 0808.76011
Camassa, Roberto; Holm, Darryl D.; Hyman, James M.
1994
Fully nonlinear internal waves in a two-fluid system. Zbl 0973.76019
Choi, Wooyoung; Camassa, Roberto
1999
The geometry of peaked solitons and billiard solutions of a class of integrable PDE’s. Zbl 0808.35124
Alber, Mark S.; Camassa, Roberto; Holm, Darryl D.; Marsden, Jerrold E.
1994
Weakly nonlinear internal waves in a two-fluid system. Zbl 0863.76015
Choi, Wooyoung; Camassa, Roberto
1996
A Melnikov method for homoclinic orbits with many pulses. Zbl 0967.37037
Camassa, Roberto; Kovačič, Gregor; Tin, Siu-Kei
1998
Chaotic advection in a Rayleigh-Bénard flow. Zbl 0936.76509
Camassa, R.; Wiggins, S.
1991
The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE’s of shallow water and Dym type. Zbl 1001.37062
Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E.
2001
Long-time effects of bottom topography in shallow water. Zbl 0899.76081
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
1996
Characteristics and the initial value problem of a completely integrable shallow water equation. Zbl 1031.37063
Camassa, Roberto
2003
Integral and integrable algorithms for a nonlinear shallow-water wave equation. Zbl 1220.76016
Camassa, Roberto; Huang, Jingfang; Lee, Long
2006
On a completely integrable numerical scheme for a nonlinear shallow-water wave equation. Zbl 1362.35255
Camassa, Roberto; Huang, Jingfang; Lee, Long
2005
On the link between umbilic geodesics and soliton solutions of nonlinear PDEs. Zbl 0835.35125
Alber, Mark S.; Camassa, Roberto; Holm, Darryl D.; Marsden, Jerrold E.
1995
Stability of forced steady solitary waves. Zbl 0748.76058
Camassa, R.; Wu, T. Yao-tsu
1991
Long-time shallow-water equations with a varying bottom. Zbl 0897.76008
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
1997
Complete integrable particle methods and the recurrence of initial states for a nonlinear shallow-water wave equation. Zbl 1201.76029
Camassa, Roberto; Lee, Long
2008
On billiard solutions of nonlinear PDEs. Zbl 0944.37032
Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E.
1999
Stability of some stationary solutions for the forced KdV equation. Zbl 0742.35053
Camassa, R.; Wu, T. Yao-tsu
1991
The exact evolution of the scalar variance in pipe and channel flow. Zbl 1220.82098
Camassa, Roberto; Lin, Zhi; McLaughlin, Richard M.
2010
Prolonged residence times for particles settling through stratified miscible fluids in the Stokes regime. Zbl 1183.76124
Camassa, Roberto; Falcon, Claudia; Lin, Joyce; Mclaughlin, Richard M.; Parker, Richard
2009
Two-layer interfacial flows beyond the Boussinesq approximation: a Hamiltonian approach. Zbl 1364.37140
Camassa, R.; Falqui, G.; Ortenzi, G.
2017
Viscous film flow coating the interior of a vertical tube. I. Gravity-driven flow. Zbl 1327.76018
Camassa, Roberto; Ogrosky, H. Reed; Olander, Jeffrey
2014
On the initial value problem for a completely integrable shallow water wave equation. Zbl 1002.76012
Camassa, R.; Zenchuk, A. I.
2001
Nonlinear waves and solitons in physical systems. Zbl 0939.35159
Camassa, Roberto; Hyman, James M.; Luce, Benjamin P.
1998
Optimal two-layer approximation for continuous density stratification. Zbl 1225.76069
Camassa, R.; Tiron, R.
2011
An inertia ‘paradox’ for incompressible stratified Euler fluids. Zbl 1250.76049
Camassa, R.; Chen, S.; Falqui, G.; Ortenzi, G.; Pedroni, M.
2012
Dispersive barotropic equations for stratified mesoscale ocean dynamics. Zbl 0786.76023
Camassa, Roberto; Holm, Darryl D.
1992
Viscous and inviscid regularizations in a class of evolutionary partial differential equations. Zbl 1426.35184
Camassa, Roberto; Chiu, Pao-Hsiung; Lee, Long; Sheu, Tony W. H.
2010
A first-principle predictive theory for a sphere falling through sharply stratified fluid at low Reynolds number. Zbl 1221.76064
Camassa, Roberto; Falcon, Claudia; Lin, Joyce; McLaughlin, Richard M.; Mykins, Nicholas
2010
Hydrodynamic models and confinement effects by horizontal boundaries. Zbl 1423.76078
Camassa, R.; Falqui, G.; Ortenzi, G.; Pedroni, M.; Thomson, C.
2019
Topological selection in stratified fluids: an example from air-water systems. Zbl 1325.76033
Camassa, R.; Chen, S.; Falqui, G.; Ortenzi, G.; Pedroni, M.
2014
Effects of inertia and stratification in incompressible ideal fluids: pressure imbalances by rigid confinement. Zbl 1287.76076
Camassa, R.; Chen, S.; Falqui, G.; Ortenzi, G.; Pedroni, M.
2013
On the geometry of an atmospheric slow manifold. Zbl 0889.34042
Camassa, Roberto
1995
Traveling waves for a model of gravity-driven film flows in cylindrical domains. Zbl 1415.35078
Camassa, Roberto; Marzuola, Jeremy L.; Ogrosky, H. Reed; Vaughn, Nathan
2016
Viscous film-flow coating the interior of a vertical tube. II: Air-driven flow. Zbl 1374.76022
Camassa, Roberto; Ogrosky, H. Reed; Olander, Jeffrey
2017
On the response of large-amplitude internal waves to upstream disturbances. Zbl 1248.76066
Camassa, Roberto; Viotti, Claudio
2012
How boundaries shape chemical delivery in microfluidics. Zbl 1404.76269
Aminian, Manuchehr; Bernardi, Francesca; Camassa, Roberto; Harris, Daniel M.; McLaughlin, Richard M.
2016
Fully nonlinear periodic internal waves in a two-fluid system of finite depth. Zbl 1193.76032
Camassa, R.; Rusås, P.-O.; Saxena, A.; Tiron, R.
2010
The Korteweg-de Vries model with boundary forcing. Zbl 0699.35225
Camassa, R.; Wu, T. Yao-tsu
1989
Evolution of the probability measure for the Majda model: new invariant measures and breathing PDFs. Zbl 1251.60077
Camassa, Roberto; Lin, Zhi; McLaughlin, Richard M.
2008
Dynamics of probability density functions for decaying passive scalars in periodic velocity fields. Zbl 1182.76114
Camassa, Roberto; Martinsen-Burrell, Neil; Mclaughlin, Richard M.
2007
The global geometry of the slow manifold in the Lorentz-Krishnamurthy model. Zbl 0936.86001
Camassa, Roberto; Tin, Siu-Kei
1996
On the symmetry properties of a random passive scalar with and without boundaries, and their connection between hot and cold states. Zbl 1453.60116
Camassa, Roberto; Kilic, Zeliha; McLaughlin, Richard M.
2019
Singularity formation as a wetting mechanism in a dispersionless water wave model. Zbl 1431.35121
Camassa, R.; Falqui, G.; Ortenzi, G.; Pedroni, M.; Pitton, G.
2019
Retention and entrainment effects: experiments and theory for porous spheres settling in sharply stratified fluids. Zbl 1320.76109
Camassa, R.; Khatri, S.; McLaughlin, R. M.; Prairie, J. C.; White, B. L.; Yu, S.
2013
Optimal mixing of buoyant jets and plumes in stratified fluids: theory and experiments. Zbl 1382.76275
Camassa, R.; Lin, Z.; McLaughlin, R. M.; Mertens, K.; Tzou, C.; Walsh, J.; White, B.
2016
Transient dynamics by continuous-spectrum perturbations in stratified shear flows. Zbl 1284.76134
Camassa, R.; Viotti, C.
2013
Brachistochrones in potential flow and the connection to Darwin’s theorem. Zbl 1227.76014
Camassa, Roberto; Mclaughlin, Richard M.; Moore, Matthew N. J.; Vaidya, Ashwin
2008
Characteristic variables for a completely integrable shallow water equation. Zbl 0964.35131
Camassa, Roberto
2000
Numerical algorithms for the direct spectral transform with applications to nonlinear Schrödinger type systems. Zbl 0924.65076
Burtsev, S.; Camassa, R.; Timofeyev, I.
1998
On the geometry of an atmospheric slow manifold. Zbl 1194.37153
Camassa, Roberto
1995
An explicit family of probability measures for passive scalar diffusion in a random flow. Zbl 1185.76693
Bronski, Jared C.; Camassa, Roberto; Lin, Zhi; McLaughlin, Richard M.; Scotti, Alberto
2007
Stratified flows with vertical layering of density: experimental and theoretical study of flow configurations and their stability. Zbl 1241.76161
Camassa, Roberto; Mclaughlin, Richard M.; Moore, Matthew N. J.; Yu, Kuai
2012
Shear instability of internal solitary waves in Euler fluids with thin pycnoclines. Zbl 1275.76100
Almgren, A.; Camassa, R.; Tiron, R.
2012
Billiard weak solutions of nonlinear PDE’s and Toda flows. Zbl 0958.37052
Alber, Mark S.; Camassa, Roberto; Gekhtman, Michael
2000
Trajectory and flow properties for a rod spinning in a viscous fluid. I: An exact solution. Zbl 1151.76415
Camassa, Roberto; Leiterman, Terry Jo; McLaughlin, Richard M.
2008
Mass distribution and skewness for passive scalar transport in pipes with polygonal and smooth cross sections. Zbl 1420.35221
Aminian, Manuchehr; Camassa, Roberto; McLaughlin, Richard M.
2018
Solitary waves and $$N$$-particle algorithms for a class of Euler-Poincaré equations. Zbl 1366.35180
Camassa, Roberto; Kuang, Dongyang; Lee, Long
2016
A model for large-amplitude internal waves with finite-thickness pycnocline. Zbl 1253.35108
Camassa, R.; Viotti, C.
2012
Analysis of passive scalar advection in parallel shear flows: sorting of modes at intermediate time scales. Zbl 1308.76136
Camassa, Roberto; McLaughlin, Richard M.; Viotti, Claudio
2010
Transmission, reflection, and second-harmonic generation in a nonlinear waveguide. Zbl 1096.35087
Camassa, Roberto; Findikoglu, Alp; Lythe, Grant
2005
Transport of a passive tracer in time-dependent Rayleigh-Bénard convection. Zbl 0735.76062
Camassa, R.; Wiggins, S.
1991
Persisting asymmetry in the probability distribution function for a random advection-diffusion equation in impermeable channels. Zbl 1491.76071
Camassa, Roberto; Ding, Lingyun; Kilic, Zeliha; McLaughlin, Richard M.
2021
On the geometry of extended self-similar solutions of the Airy shallow water equations. Zbl 1437.37067
Camassa, Roberto; Falqui, Gregorio; Ortenzi, Giovanni; Pedroni, Marco
2019
Topological effects on vorticity evolution in confined stratified fluids. Zbl 1382.76042
Camassa, R.; Falqui, G.; Ortenzi, G.; Pedroni, M.
2015
A particle method and numerical study of a quasilinear partial differential equation. Zbl 1269.65091
Camassa, Roberto; Chiu, Pao-Hsiung; Lee, Long; Sheu, W.-H.
2011
Persisting asymmetry in the probability distribution function for a random advection-diffusion equation in impermeable channels. Zbl 1491.76071
Camassa, Roberto; Ding, Lingyun; Kilic, Zeliha; McLaughlin, Richard M.
2021
Hydrodynamic models and confinement effects by horizontal boundaries. Zbl 1423.76078
Camassa, R.; Falqui, G.; Ortenzi, G.; Pedroni, M.; Thomson, C.
2019
On the symmetry properties of a random passive scalar with and without boundaries, and their connection between hot and cold states. Zbl 1453.60116
Camassa, Roberto; Kilic, Zeliha; McLaughlin, Richard M.
2019
Singularity formation as a wetting mechanism in a dispersionless water wave model. Zbl 1431.35121
Camassa, R.; Falqui, G.; Ortenzi, G.; Pedroni, M.; Pitton, G.
2019
On the geometry of extended self-similar solutions of the Airy shallow water equations. Zbl 1437.37067
Camassa, Roberto; Falqui, Gregorio; Ortenzi, Giovanni; Pedroni, Marco
2019
Mass distribution and skewness for passive scalar transport in pipes with polygonal and smooth cross sections. Zbl 1420.35221
Aminian, Manuchehr; Camassa, Roberto; McLaughlin, Richard M.
2018
Two-layer interfacial flows beyond the Boussinesq approximation: a Hamiltonian approach. Zbl 1364.37140
Camassa, R.; Falqui, G.; Ortenzi, G.
2017
Viscous film-flow coating the interior of a vertical tube. II: Air-driven flow. Zbl 1374.76022
Camassa, Roberto; Ogrosky, H. Reed; Olander, Jeffrey
2017
Traveling waves for a model of gravity-driven film flows in cylindrical domains. Zbl 1415.35078
Camassa, Roberto; Marzuola, Jeremy L.; Ogrosky, H. Reed; Vaughn, Nathan
2016
How boundaries shape chemical delivery in microfluidics. Zbl 1404.76269
Aminian, Manuchehr; Bernardi, Francesca; Camassa, Roberto; Harris, Daniel M.; McLaughlin, Richard M.
2016
Optimal mixing of buoyant jets and plumes in stratified fluids: theory and experiments. Zbl 1382.76275
Camassa, R.; Lin, Z.; McLaughlin, R. M.; Mertens, K.; Tzou, C.; Walsh, J.; White, B.
2016
Solitary waves and $$N$$-particle algorithms for a class of Euler-Poincaré equations. Zbl 1366.35180
Camassa, Roberto; Kuang, Dongyang; Lee, Long
2016
Topological effects on vorticity evolution in confined stratified fluids. Zbl 1382.76042
Camassa, R.; Falqui, G.; Ortenzi, G.; Pedroni, M.
2015
Viscous film flow coating the interior of a vertical tube. I. Gravity-driven flow. Zbl 1327.76018
Camassa, Roberto; Ogrosky, H. Reed; Olander, Jeffrey
2014
Topological selection in stratified fluids: an example from air-water systems. Zbl 1325.76033
Camassa, R.; Chen, S.; Falqui, G.; Ortenzi, G.; Pedroni, M.
2014
Effects of inertia and stratification in incompressible ideal fluids: pressure imbalances by rigid confinement. Zbl 1287.76076
Camassa, R.; Chen, S.; Falqui, G.; Ortenzi, G.; Pedroni, M.
2013
Retention and entrainment effects: experiments and theory for porous spheres settling in sharply stratified fluids. Zbl 1320.76109
Camassa, R.; Khatri, S.; McLaughlin, R. M.; Prairie, J. C.; White, B. L.; Yu, S.
2013
Transient dynamics by continuous-spectrum perturbations in stratified shear flows. Zbl 1284.76134
Camassa, R.; Viotti, C.
2013
An inertia ‘paradox’ for incompressible stratified Euler fluids. Zbl 1250.76049
Camassa, R.; Chen, S.; Falqui, G.; Ortenzi, G.; Pedroni, M.
2012
On the response of large-amplitude internal waves to upstream disturbances. Zbl 1248.76066
Camassa, Roberto; Viotti, Claudio
2012
Stratified flows with vertical layering of density: experimental and theoretical study of flow configurations and their stability. Zbl 1241.76161
Camassa, Roberto; Mclaughlin, Richard M.; Moore, Matthew N. J.; Yu, Kuai
2012
Shear instability of internal solitary waves in Euler fluids with thin pycnoclines. Zbl 1275.76100
Almgren, A.; Camassa, R.; Tiron, R.
2012
A model for large-amplitude internal waves with finite-thickness pycnocline. Zbl 1253.35108
Camassa, R.; Viotti, C.
2012
Optimal two-layer approximation for continuous density stratification. Zbl 1225.76069
Camassa, R.; Tiron, R.
2011
A particle method and numerical study of a quasilinear partial differential equation. Zbl 1269.65091
Camassa, Roberto; Chiu, Pao-Hsiung; Lee, Long; Sheu, W.-H.
2011
The exact evolution of the scalar variance in pipe and channel flow. Zbl 1220.82098
Camassa, Roberto; Lin, Zhi; McLaughlin, Richard M.
2010
Viscous and inviscid regularizations in a class of evolutionary partial differential equations. Zbl 1426.35184
Camassa, Roberto; Chiu, Pao-Hsiung; Lee, Long; Sheu, Tony W. H.
2010
A first-principle predictive theory for a sphere falling through sharply stratified fluid at low Reynolds number. Zbl 1221.76064
Camassa, Roberto; Falcon, Claudia; Lin, Joyce; McLaughlin, Richard M.; Mykins, Nicholas
2010
Fully nonlinear periodic internal waves in a two-fluid system of finite depth. Zbl 1193.76032
Camassa, R.; Rusås, P.-O.; Saxena, A.; Tiron, R.
2010
Analysis of passive scalar advection in parallel shear flows: sorting of modes at intermediate time scales. Zbl 1308.76136
Camassa, Roberto; McLaughlin, Richard M.; Viotti, Claudio
2010
Prolonged residence times for particles settling through stratified miscible fluids in the Stokes regime. Zbl 1183.76124
Camassa, Roberto; Falcon, Claudia; Lin, Joyce; Mclaughlin, Richard M.; Parker, Richard
2009
Complete integrable particle methods and the recurrence of initial states for a nonlinear shallow-water wave equation. Zbl 1201.76029
Camassa, Roberto; Lee, Long
2008
Evolution of the probability measure for the Majda model: new invariant measures and breathing PDFs. Zbl 1251.60077
Camassa, Roberto; Lin, Zhi; McLaughlin, Richard M.
2008
Brachistochrones in potential flow and the connection to Darwin’s theorem. Zbl 1227.76014
Camassa, Roberto; Mclaughlin, Richard M.; Moore, Matthew N. J.; Vaidya, Ashwin
2008
Trajectory and flow properties for a rod spinning in a viscous fluid. I: An exact solution. Zbl 1151.76415
Camassa, Roberto; Leiterman, Terry Jo; McLaughlin, Richard M.
2008
Dynamics of probability density functions for decaying passive scalars in periodic velocity fields. Zbl 1182.76114
Camassa, Roberto; Martinsen-Burrell, Neil; Mclaughlin, Richard M.
2007
An explicit family of probability measures for passive scalar diffusion in a random flow. Zbl 1185.76693
Bronski, Jared C.; Camassa, Roberto; Lin, Zhi; McLaughlin, Richard M.; Scotti, Alberto
2007
Integral and integrable algorithms for a nonlinear shallow-water wave equation. Zbl 1220.76016
Camassa, Roberto; Huang, Jingfang; Lee, Long
2006
On a completely integrable numerical scheme for a nonlinear shallow-water wave equation. Zbl 1362.35255
Camassa, Roberto; Huang, Jingfang; Lee, Long
2005
Transmission, reflection, and second-harmonic generation in a nonlinear waveguide. Zbl 1096.35087
Camassa, Roberto; Findikoglu, Alp; Lythe, Grant
2005
Characteristics and the initial value problem of a completely integrable shallow water equation. Zbl 1031.37063
Camassa, Roberto
2003
The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE’s of shallow water and Dym type. Zbl 1001.37062
Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E.
2001
On the initial value problem for a completely integrable shallow water wave equation. Zbl 1002.76012
Camassa, R.; Zenchuk, A. I.
2001
Characteristic variables for a completely integrable shallow water equation. Zbl 0964.35131
Camassa, Roberto
2000
Billiard weak solutions of nonlinear PDE’s and Toda flows. Zbl 0958.37052
Alber, Mark S.; Camassa, Roberto; Gekhtman, Michael
2000
Fully nonlinear internal waves in a two-fluid system. Zbl 0973.76019
Choi, Wooyoung; Camassa, Roberto
1999
On billiard solutions of nonlinear PDEs. Zbl 0944.37032
Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E.
1999
A Melnikov method for homoclinic orbits with many pulses. Zbl 0967.37037
Camassa, Roberto; Kovačič, Gregor; Tin, Siu-Kei
1998
Nonlinear waves and solitons in physical systems. Zbl 0939.35159
Camassa, Roberto; Hyman, James M.; Luce, Benjamin P.
1998
Numerical algorithms for the direct spectral transform with applications to nonlinear Schrödinger type systems. Zbl 0924.65076
Burtsev, S.; Camassa, R.; Timofeyev, I.
1998
Long-time shallow-water equations with a varying bottom. Zbl 0897.76008
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
1997
Weakly nonlinear internal waves in a two-fluid system. Zbl 0863.76015
Choi, Wooyoung; Camassa, Roberto
1996
Long-time effects of bottom topography in shallow water. Zbl 0899.76081
Camassa, Roberto; Holm, Darryl D.; Levermore, C. David
1996
The global geometry of the slow manifold in the Lorentz-Krishnamurthy model. Zbl 0936.86001
Camassa, Roberto; Tin, Siu-Kei
1996
On the link between umbilic geodesics and soliton solutions of nonlinear PDEs. Zbl 0835.35125
Alber, Mark S.; Camassa, Roberto; Holm, Darryl D.; Marsden, Jerrold E.
1995
On the geometry of an atmospheric slow manifold. Zbl 0889.34042
Camassa, Roberto
1995
On the geometry of an atmospheric slow manifold. Zbl 1194.37153
Camassa, Roberto
1995
A new integrable shallow water equation. Zbl 0808.76011
Camassa, Roberto; Holm, Darryl D.; Hyman, James M.
1994
The geometry of peaked solitons and billiard solutions of a class of integrable PDE’s. Zbl 0808.35124
Alber, Mark S.; Camassa, Roberto; Holm, Darryl D.; Marsden, Jerrold E.
1994
An integrable shallow water equation with peaked solitons. Zbl 0972.35521
Camassa, Roberto; Holm, Darryl D.
1993
Dispersive barotropic equations for stratified mesoscale ocean dynamics. Zbl 0786.76023
Camassa, Roberto; Holm, Darryl D.
1992
Chaotic advection in a Rayleigh-Bénard flow. Zbl 0936.76509
Camassa, R.; Wiggins, S.
1991
Stability of forced steady solitary waves. Zbl 0748.76058
Camassa, R.; Wu, T. Yao-tsu
1991
Stability of some stationary solutions for the forced KdV equation. Zbl 0742.35053
Camassa, R.; Wu, T. Yao-tsu
1991
Transport of a passive tracer in time-dependent Rayleigh-Bénard convection. Zbl 0735.76062
Camassa, R.; Wiggins, S.
1991
The Korteweg-de Vries model with boundary forcing. Zbl 0699.35225
Camassa, R.; Wu, T. Yao-tsu
1989
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### Cited by 1,825 Authors

 94 Yin, Zhaoyang 54 Liu, Yue 46 Qiao, Zhijun 39 Camassa, Roberto 39 Tian, Lixin 32 Qu, Changzheng 30 Mu, Chunlai 29 Zhou, Shouming 28 Zhang, Wei 27 Liu, Zhengrong 26 Holm, Darryl Dallas 25 Li, Jibin 25 Mi, Yongsheng 24 Lai, Shaoyong 22 Himonas, A. Alexandrou 21 Constantin, Adrian 21 Guo, Boling 20 Guo, Zhengguang 19 Lenells, Jonatan 19 Liu, Xingxing 18 Chen, Aiyong 17 Escher, Joachim 17 Szmigielski, Jacek 16 Fu, Ying 16 Gao, Hongjun 16 Yan, Kai 16 Yan, Wei 16 Zhu, Min 15 Chen, Robin Ming 15 Kolev, Boris 15 Ortenzi, Giovanni 15 Yao, Minghui 14 Li, Yongsheng 14 Shen, Chunyu 14 Wu, Xinglong 13 Guan, Chunxia 13 Gui, Guilong 13 Guo, Fei 13 Holden, Helge 13 Moon, Byungsoo 12 Bauer, Martin 12 Falqui, Gregorio 12 Freire, Igor Leite 12 Hu, Qiaoyi 12 Ivanov, Rossen I. 12 Li, Jinlu 12 McLaughlin, Richard M. 12 Yang, Shaojie 12 Zhou, Yong 11 Choi, Wooyoung 11 Grunert, Katrin 11 Jiang, Zaihong 11 Pedroni, Marco 11 Raynaud, Xavier 11 Zhang, Lei 10 Chang, Xiangke 10 Eckhardt, Jonathan 10 El, Gennady A. 10 Liu, Xiaochuan 10 Shepelsky, Dmitry 10 Sheu, Tony Wen-Hann 10 Zhu, Mingxuan 9 Boutet de Monvel, Anne Marie 9 Chen, Guanrong 9 Coclite, Giuseppe Maria 9 Huang, Wentao 8 Anco, Stephen C. 8 Chen, Jinbing 8 Duchêne, Vincent 8 Geyer, Anna 8 Li, Ji 8 Li, Nianhua 8 Liu, Siqi 8 Lv, Guangying 8 Ni, Lidiao 8 Tang, Hao 8 Wang, Yujuan 8 Zhang, Youjin 8 Zhu, Weipeng 8 Zong, Xiju 7 Beals, Richard W. 7 Chen, Fangqi 7 Chen, Yong 7 Ding, Danping 7 Fan, Engui 7 Geng, Xianguo 7 Grimshaw, Roger Hamilton James 7 Guha, Partha 7 Kostenko, Aleksey S. 7 Lannes, David 7 Lee, Long 7 Li, Fengquan 7 Lyapidevskiĭ, Valeriĭ Yur’evich 7 Long, Yao 7 Luo, Ting 7 Luo, Wei 7 Molinet, Luc 7 Novruzov, Emil B. 7 Petronilho, Gerson 7 Preston, Stephen C. ...and 1,725 more Authors
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### Cited in 249 Serials

 115 Journal of Differential Equations 102 Journal of Mathematical Physics 80 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 70 Physica D 69 Journal of Nonlinear Mathematical Physics 66 Journal of Fluid Mechanics 66 Journal of Mathematical Analysis and Applications 63 Discrete and Continuous Dynamical Systems 57 Nonlinear Analysis. Real World Applications 48 Applied Mathematics and Computation 45 Applicable Analysis 42 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 41 Chaos, Solitons and Fractals 36 Monatshefte für Mathematik 34 Abstract and Applied Analysis 30 Journal of Nonlinear Science 27 Physics of Fluids 25 Studies in Applied Mathematics 24 Journal of Computational Physics 22 Journal of Functional Analysis 19 Advances in Mathematics 18 Wave Motion 17 Journal of Geometry and Physics 17 Applied Mathematics Letters 17 Journal of Evolution Equations 17 Boundary Value Problems 16 Communications in Mathematical Physics 16 Chaos 16 Communications in Nonlinear Science and Numerical Simulation 15 Nonlinear Dynamics 15 Journal of Mathematical Fluid Mechanics 14 Journal of Computational and Applied Mathematics 14 Communications in Partial Differential Equations 14 SIAM Journal on Mathematical Analysis 12 International Journal of Modern Physics B 12 Archive for Rational Mechanics and Analysis 12 Theoretical and Mathematical Physics 12 Mathematical Problems in Engineering 11 Nonlinearity 10 Letters in Mathematical Physics 10 Mathematical Methods in the Applied Sciences 10 Physics Letters. A 10 Mathematics and Computers in Simulation 10 Quarterly of Applied Mathematics 10 Applied Numerical Mathematics 10 Discrete and Continuous Dynamical Systems. Series B 10 Journal of Hyperbolic Differential Equations 10 Advances in Mathematical Physics 9 Journal of Dynamics and Differential Equations 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Calculus of Variations and Partial Differential Equations 8 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 Communications on Pure and Applied Analysis 7 Proceedings of the American Mathematical Society 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 7 European Journal of Mechanics. B. Fluids 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Advances in Difference Equations 7 Journal of Geometric Mechanics 6 Journal of Engineering Mathematics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Mathematical Physics, Analysis and Geometry 6 Journal of Inequalities and Applications 6 Journal of Physics A: Mathematical and Theoretical 6 Discrete and Continuous Dynamical Systems. Series S 6 Journal of Applied Analysis and Computation 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Fluid Dynamics 5 Annales de l’Institut Fourier 5 Computational Mathematics and Mathematical Physics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Applied Mechanics and Technical Physics 5 Journal of Applied Mathematics 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Communications in Theoretical Physics 5 International Journal of Applied and Computational Mathematics 5 Electronic Research Archive 4 Acta Mechanica 4 Computers and Fluids 4 Communications on Pure and Applied Mathematics 4 Reviews in Mathematical Physics 4 BIT 4 Mathematische Annalen 4 Applied Mathematics and Mechanics. (English Edition) 4 Asymptotic Analysis 4 Acta Mathematica Sinica. English Series 4 Qualitative Theory of Dynamical Systems 4 Physical Review Letters 4 Advanced Nonlinear Studies 4 Analysis and Applications (Singapore) 4 International Journal of Geometric Methods in Modern Physics 3 Computers & Mathematics with Applications 3 Indiana University Mathematics Journal 3 Mathematische Nachrichten 3 Mathematische Zeitschrift 3 Numerische Mathematik 3 Acta Applicandae Mathematicae 3 Numerical Methods for Partial Differential Equations ...and 149 more Serials
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### Cited in 43 Fields

 1,528 Partial differential equations (35-XX) 593 Fluid mechanics (76-XX) 535 Dynamical systems and ergodic theory (37-XX) 119 Numerical analysis (65-XX) 114 Ordinary differential equations (34-XX) 89 Mechanics of deformable solids (74-XX) 64 Geophysics (86-XX) 62 Global analysis, analysis on manifolds (58-XX) 48 Mechanics of particles and systems (70-XX) 44 Differential geometry (53-XX) 32 Probability theory and stochastic processes (60-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 23 Statistical mechanics, structure of matter (82-XX) 23 Systems theory; control (93-XX) 22 Operator theory (47-XX) 22 Quantum theory (81-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 Real functions (26-XX) 11 Nonassociative rings and algebras (17-XX) 11 Functions of a complex variable (30-XX) 11 Functional analysis (46-XX) 9 Optics, electromagnetic theory (78-XX) 9 Biology and other natural sciences (92-XX) 7 Algebraic geometry (14-XX) 7 Computer science (68-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Topological groups, Lie groups (22-XX) 6 Special functions (33-XX) 6 Approximations and expansions (41-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 3 Statistics (62-XX) 3 Relativity and gravitational theory (83-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)