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Johnson, Robin Stanley

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Author ID: johnson.robin-stanley Recent zbMATH articles by "Johnson, Robin Stanley"
Published as: Johnson, R.; Johnson, R. S.; Johnson, Robin; Johnson, Robin S.; Johnson, Robin Stanley
Documents Indexed: 64 Publications since 1960, including 3 Books

Publications by Year

Citations contained in zbMATH

49 Publications have been cited 1,769 times in 1,421 Documents Cited by Year
Solitons: an introduction. Zbl 0661.35001
Drazin, P. G.; Johnson, R. S.
406
1989
Camassa-Holm, Korteweg-de Vries and related models for water waves. Zbl 1037.76006
Johnson, R. S.
355
2002
A modern introduction to the mathematical theory of water waves. Zbl 0892.76001
Johnson, R. S.
214
1997
A non-linear equation incorporating damping and dispersion. Zbl 0213.54904
Johnson, R. S.
131
1970
Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis. Zbl 1135.76007
Constantin, A.; Johnson, R. S.
64
2008
On solutions of the Camassa-Holm equation. Zbl 1039.76006
Johnson, R. S.
48
2003
The Camassa–Holm equation for water waves moving over a shear flow. Zbl 1032.76519
Johnson, R. S.
46
2003
On the development of a solitary wave moving over an uneven bottom. Zbl 0255.76020
Johnson, R. S.
44
1973
Shallow water waves on a viscous fluid - the undular bore. Zbl 0264.76014
Johnson, R. S.
43
1972
Water waves and Korteweg-de Vries equations. Zbl 0441.76012
Johnson, R. S.
39
1980
On monosplines of least deviation. Zbl 0094.03903
Johnson, R. S.
33
1960
The classical problem of water waves: a reservoir of integrable and nearly-integrable equations. Zbl 1362.35264
Johnson, Robin S.
30
2003
On the modulation of water waves in the neighbourhood of \(kh\approx 1.363\). Zbl 0375.76017
Johnson, R. S.
30
1977
Shallow water waves on shear flows. Zbl 0202.27002
Freeman, N. C.; Johnson, R. S.
30
1970
A two-dimensional Boussinesq equation for water waves and some of its solutions. Zbl 0896.76007
Johnson, R. S.
28
1996
On an asymptotic solution of the Korteweg-de Vries equation with slowly varying coefficients. Zbl 0273.76012
Johnson, R. S.
24
1973
Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015
Constantin, A.; Johnson, R. S.
22
2017
Edge waves: Theories past and present. Zbl 1152.76301
Johnson, R. S.
19
2007
Application of the ideas and techniques of classical fluid mechanics to some problems in physical oceanography. Zbl 1404.86018
Johnson, R. S.
17
2018
On the non-dimensionalisation, scaling and resulting interpretation of the classical governing equations for water waves. Zbl 1362.35257
Constantin, Adrian; Johnson, Robin Stanley
16
2008
Some numerical solutions of a variable-coefficient Korteweg-de Vries equation (with applications to solitary wave development on a shelf). Zbl 0242.76008
Johnson, R. S.
16
1972
Singular perturbation theory. Mathematical and analytical techniques with applications to engineering. With a foreword by Alan Jeffrey. Zbl 1234.34001
Johnson, R. S.
11
2005
Ring waves on the surface of shear flows: A linear and nonlinear theory. Zbl 0698.76016
Johnson, R. S.
10
1990
On the nonlinear critical layer below a nonlinear unsteady surface wave. Zbl 0629.76018
Johnson, R. S.
9
1986
Some contributions to the theory of edge waves. Zbl 1065.76533
Johnson, R. S.
8
2005
Solitary wave, soliton and shelf evolution over variable depth. Zbl 0864.76019
Johnson, R. S.
8
1994
Weighted Hardy spaces and the Laplace transform. II. Zbl 0626.44002
Benedetto, J. J.; Heinig, H. P.; Johnson, R.
8
1987
On the modulation of water waves on shear flows. Zbl 0322.76004
Johnson, R. S.
7
1976
Tent spaces based on the Lorentz spaces. Zbl 0646.46025
Bonami, A.; Johnson, R.
6
1987
Application of Carleson measures to partial differential equations and Fourier multiplier problems. Zbl 0533.42010
Johnson, R.
5
1983
Maximal subspaces of Besov spaces invariant under multiplication by characters. Zbl 0432.46032
Johnson, R.
5
1979
A selection of nonlinear problems in water waves, analysed by perturbation-parameter techniques. Zbl 1372.76021
Johnson, R. S.
4
2012
Models for the formation of a critical layer in water wave propagation. Zbl 1250.76037
Johnson, Robin Stanley
3
2012
Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis. Zbl 1350.76008
Constantin, Adrian; Johnson, Robin S.
3
2010
Fourier inequalities with \(A_ p\)-weights. Zbl 0625.42006
Benedetto, J. J.; Heinig, H. P.; Johnson, R.
3
1987
On the oblique interaction of a large and a small solitary wave. Zbl 0502.76033
Johnson, R. S.
3
1982
Several plume flows in pure and saline water at its density extremum. Zbl 0484.76096
Mollendorf, J. C.; Johnson, R. S.; Gebhart, B.
3
1981
Preface. Zbl 1354.00089
Constantin, A. (ed.); Escher, J. (ed.); Johnson, R. S. (ed.); Villari, G. (ed.)
2
2016
A problem in the classical theory of water waves: weakly nonlinear waves in the presence of vorticity. Zbl 1362.76014
Johnson, Robin Stanley
2
2012
Propagation of axi-symmetric nonlinear shallow water waves over slowly varying depth. Zbl 1029.76006
Killen, S. M.; Johnson, R. S.
2
2001
A note on an asymptotic solution of the cylindrical Korteweg-de Vries equation. Zbl 1067.35503
Johnson, R. S.
2
1999
Network reliability and acyclic orientations. Zbl 0549.94050
Johnson, R.
2
1984
Convoluteurs of \(H6p\) spaces. Zbl 0308.42002
Johnson, R.
2
1975
Periodic waves over constant vorticity: some asymptotic results generated by parameter expansions. Zbl 1231.76041
Johnson, R. S.
1
2009
Water waves near a shoreline in a flow with vorticity: two classical examples. Zbl 1362.35265
Johnson, Robin Stanley
1
2008
On finite sums of powers of reciprocals. Zbl 1046.05006
John, A. M.; Johnson, R.; Watkins, A. J.
1
2003
Changes of variable and \(A_ p\) weights. Zbl 0709.42013
Johnson, R.
1
1990
The Korteweg-de Vries equation and related problems in water wave theory. Zbl 0571.76011
Johnson, R. S.
1
1983
Weighted norm inequalities for \(L^ r\)-valued integral operators and applications. Zbl 0519.42016
Heinig, H. P.; Johnson, R.
1
1982
Application of the ideas and techniques of classical fluid mechanics to some problems in physical oceanography. Zbl 1404.86018
Johnson, R. S.
17
2018
Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015
Constantin, A.; Johnson, R. S.
22
2017
Preface. Zbl 1354.00089
Constantin, A. (ed.); Escher, J. (ed.); Johnson, R. S. (ed.); Villari, G. (ed.)
2
2016
A selection of nonlinear problems in water waves, analysed by perturbation-parameter techniques. Zbl 1372.76021
Johnson, R. S.
4
2012
Models for the formation of a critical layer in water wave propagation. Zbl 1250.76037
Johnson, Robin Stanley
3
2012
A problem in the classical theory of water waves: weakly nonlinear waves in the presence of vorticity. Zbl 1362.76014
Johnson, Robin Stanley
2
2012
Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis. Zbl 1350.76008
Constantin, Adrian; Johnson, Robin S.
3
2010
Periodic waves over constant vorticity: some asymptotic results generated by parameter expansions. Zbl 1231.76041
Johnson, R. S.
1
2009
Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis. Zbl 1135.76007
Constantin, A.; Johnson, R. S.
64
2008
On the non-dimensionalisation, scaling and resulting interpretation of the classical governing equations for water waves. Zbl 1362.35257
Constantin, Adrian; Johnson, Robin Stanley
16
2008
Water waves near a shoreline in a flow with vorticity: two classical examples. Zbl 1362.35265
Johnson, Robin Stanley
1
2008
Edge waves: Theories past and present. Zbl 1152.76301
Johnson, R. S.
19
2007
Singular perturbation theory. Mathematical and analytical techniques with applications to engineering. With a foreword by Alan Jeffrey. Zbl 1234.34001
Johnson, R. S.
11
2005
Some contributions to the theory of edge waves. Zbl 1065.76533
Johnson, R. S.
8
2005
On solutions of the Camassa-Holm equation. Zbl 1039.76006
Johnson, R. S.
48
2003
The Camassa–Holm equation for water waves moving over a shear flow. Zbl 1032.76519
Johnson, R. S.
46
2003
The classical problem of water waves: a reservoir of integrable and nearly-integrable equations. Zbl 1362.35264
Johnson, Robin S.
30
2003
On finite sums of powers of reciprocals. Zbl 1046.05006
John, A. M.; Johnson, R.; Watkins, A. J.
1
2003
Camassa-Holm, Korteweg-de Vries and related models for water waves. Zbl 1037.76006
Johnson, R. S.
355
2002
Propagation of axi-symmetric nonlinear shallow water waves over slowly varying depth. Zbl 1029.76006
Killen, S. M.; Johnson, R. S.
2
2001
A note on an asymptotic solution of the cylindrical Korteweg-de Vries equation. Zbl 1067.35503
Johnson, R. S.
2
1999
A modern introduction to the mathematical theory of water waves. Zbl 0892.76001
Johnson, R. S.
214
1997
A two-dimensional Boussinesq equation for water waves and some of its solutions. Zbl 0896.76007
Johnson, R. S.
28
1996
Solitary wave, soliton and shelf evolution over variable depth. Zbl 0864.76019
Johnson, R. S.
8
1994
Ring waves on the surface of shear flows: A linear and nonlinear theory. Zbl 0698.76016
Johnson, R. S.
10
1990
Changes of variable and \(A_ p\) weights. Zbl 0709.42013
Johnson, R.
1
1990
Solitons: an introduction. Zbl 0661.35001
Drazin, P. G.; Johnson, R. S.
406
1989
Weighted Hardy spaces and the Laplace transform. II. Zbl 0626.44002
Benedetto, J. J.; Heinig, H. P.; Johnson, R.
8
1987
Tent spaces based on the Lorentz spaces. Zbl 0646.46025
Bonami, A.; Johnson, R.
6
1987
Fourier inequalities with \(A_ p\)-weights. Zbl 0625.42006
Benedetto, J. J.; Heinig, H. P.; Johnson, R.
3
1987
On the nonlinear critical layer below a nonlinear unsteady surface wave. Zbl 0629.76018
Johnson, R. S.
9
1986
Network reliability and acyclic orientations. Zbl 0549.94050
Johnson, R.
2
1984
Application of Carleson measures to partial differential equations and Fourier multiplier problems. Zbl 0533.42010
Johnson, R.
5
1983
The Korteweg-de Vries equation and related problems in water wave theory. Zbl 0571.76011
Johnson, R. S.
1
1983
On the oblique interaction of a large and a small solitary wave. Zbl 0502.76033
Johnson, R. S.
3
1982
Weighted norm inequalities for \(L^ r\)-valued integral operators and applications. Zbl 0519.42016
Heinig, H. P.; Johnson, R.
1
1982
Several plume flows in pure and saline water at its density extremum. Zbl 0484.76096
Mollendorf, J. C.; Johnson, R. S.; Gebhart, B.
3
1981
Water waves and Korteweg-de Vries equations. Zbl 0441.76012
Johnson, R. S.
39
1980
Maximal subspaces of Besov spaces invariant under multiplication by characters. Zbl 0432.46032
Johnson, R.
5
1979
On the modulation of water waves in the neighbourhood of \(kh\approx 1.363\). Zbl 0375.76017
Johnson, R. S.
30
1977
On the modulation of water waves on shear flows. Zbl 0322.76004
Johnson, R. S.
7
1976
Convoluteurs of \(H6p\) spaces. Zbl 0308.42002
Johnson, R.
2
1975
On the development of a solitary wave moving over an uneven bottom. Zbl 0255.76020
Johnson, R. S.
44
1973
On an asymptotic solution of the Korteweg-de Vries equation with slowly varying coefficients. Zbl 0273.76012
Johnson, R. S.
24
1973
Shallow water waves on a viscous fluid - the undular bore. Zbl 0264.76014
Johnson, R. S.
43
1972
Some numerical solutions of a variable-coefficient Korteweg-de Vries equation (with applications to solitary wave development on a shelf). Zbl 0242.76008
Johnson, R. S.
16
1972
A non-linear equation incorporating damping and dispersion. Zbl 0213.54904
Johnson, R. S.
131
1970
Shallow water waves on shear flows. Zbl 0202.27002
Freeman, N. C.; Johnson, R. S.
30
1970
On monosplines of least deviation. Zbl 0094.03903
Johnson, R. S.
33
1960
all top 5

Cited by 1,687 Authors

35 Yin, Zhaoyang
34 Demiray, Hilmi
28 Constantin, Adrian
26 Liu, Yue
21 Ionescu-Kruse, Delia
20 Qiao, Zhijun
20 Tian, Lixin
19 Grimshaw, Roger Hamilton James
16 Escher, Joachim
15 Feng, Zhaosheng
15 Kaya, Doǧan
13 Qu, Changzheng
12 El, Gennady A.
12 Ivanov, Rossen I.
12 Kalisch, Henrik
11 Lai, Shaoyong
11 Shen, Chunyu
10 Coclite, Giuseppe Maria
10 Ehrnström, Mats
10 Geyer, Anna
10 Gui, Guilong
10 Henry, David
10 Johnson, Robin Stanley
10 Lenells, Jonatan
10 Martin, Calin-Iulian
9 Bridges, Thomas J.
9 Guo, Fei
8 Bona, Jerry Lloyd
8 Chu, Jifeng
8 Dutykh, Denys
8 Gao, Hongjun
8 Guan, Chunxia
8 Huber, Alfred
8 Kudryashov, Nikolaĭ Alekseevich
8 Liu, Zhengrong
8 Tian, Bo
7 Fan, Engui
7 Fu, Ying
7 Khusnutdinova, Karima Robertovna
7 Liu, Xiaochuan
7 Lyons, Tony
7 Ma, Wen-Xiu
7 Moon, Byungsoo
7 Parker, Allen
7 Pelinovsky, Efim
7 Wahlén, Erik
7 Wei, Long
7 Yan, Kai
6 Abdou, Mohamed Aly Mohamed
6 Alonso Izquierdo, A.
6 Bai, Chenglin
6 Duruk Mutlubaş, Nilay
6 Elwakil, S. A.
6 Gao, Anna
6 Guo, Zhengguang
6 Holden, Helge
6 Hu, Qiaoyi
6 Mancas, Stefan C.
6 Matioc, Anca-Voichita
6 Matioc, Bogdan-Vasile
6 Mustafa, Octavian G.
6 Smyth, Noel F.
6 Strauss, Walter Alexander
6 Talipova, Tatiana
6 Yan, Zhenya
6 Younis, Muhammad
5 Ali, Safdar
5 Antar, Nalan
5 Boutet de Monvel, Anne Marie
5 Chen, Robin Ming
5 Ellingsen, Simen A.
5 Engelbrecht, Jüri
5 Gao, Yitian
5 He, Bin
5 He, Jingsong
5 Henry, David
5 Hereman, Willy A.
5 Hoefer, Mark A.
5 Hou, Yu
5 Karlsen, Kenneth Hvistendahl
5 Kolev, Boris
5 Liu, Xingxing
5 Marynets, Kateryna
5 Mitsotakis, Dimitrios E.
5 Molinet, Luc
5 Mu, Chunlai
5 Nürnberger, Günther
5 Olver, Peter John
5 Ratliff, Daniel J.
5 Raynaud, Xavier
5 Rodríguez-Sanjurjo, Adrián
5 Salupere, Andrus
5 Shepelsky, Dmitry
5 Sheu, Tony Wen-Hann
5 Van Groesen, Embrecht W. C.
5 Velarde, Manuel G.
5 Winternitz, Pavel
5 Wu, Yonghong
5 Yang, Yanjuan
5 Zerarka, Abdelwahab
...and 1,587 more Authors
all top 5

Cited in 226 Serials

81 Applied Mathematics and Computation
63 Chaos, Solitons and Fractals
55 Journal of Nonlinear Mathematical Physics
54 Wave Motion
54 Journal of Differential Equations
51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
49 Physics Letters. A
45 Journal of Mathematical Physics
43 Journal of Fluid Mechanics
43 Physica D
32 Discrete and Continuous Dynamical Systems
31 Communications in Nonlinear Science and Numerical Simulation
30 Journal of Mathematical Analysis and Applications
24 Studies in Applied Mathematics
24 Nonlinear Analysis. Real World Applications
23 Nonlinear Dynamics
23 Journal of Mathematical Fluid Mechanics
21 International Journal of Engineering Science
20 Journal of Computational and Applied Mathematics
18 Mathematics and Computers in Simulation
15 Computers & Mathematics with Applications
15 Journal of Computational Physics
15 Monatshefte für Mathematik
15 European Journal of Mechanics. B. Fluids
14 Quarterly of Applied Mathematics
13 Journal of Functional Analysis
13 Applied Mathematics Letters
12 Archive for Rational Mechanics and Analysis
12 Abstract and Applied Analysis
11 Applicable Analysis
11 Journal of Nonlinear Science
11 Physics of Fluids
10 Communications in Mathematical Physics
9 Acta Mechanica
9 Computer Physics Communications
9 Theoretical and Mathematical Physics
9 Chaos
8 Applied Numerical Mathematics
8 Journal of Scientific Computing
8 Annals of Physics
7 International Journal of Theoretical Physics
7 Letters in Mathematical Physics
7 Mathematical and Computer Modelling
7 Boundary Value Problems
7 Advances in Mathematical Physics
6 Mathematical Methods in the Applied Sciences
6 Mathematical Notes
6 Mathematische Zeitschrift
6 Numerische Mathematik
6 Transactions of the American Mathematical Society
6 Applied Mathematical Modelling
6 Communications in Theoretical Physics
5 Journal d’Analyse Mathématique
5 Journal of Geometry and Physics
5 Advances in Mathematics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Proceedings of the American Mathematical Society
5 Acta Applicandae Mathematicae
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Journal of Symbolic Computation
5 Communications in Partial Differential Equations
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Mathematical Problems in Engineering
4 International Journal of Modern Physics B
4 Communications on Pure and Applied Mathematics
4 Geophysical and Astrophysical Fluid Dynamics
4 Journal of Engineering Mathematics
4 Nonlinearity
4 Nuclear Physics. B
4 Reports on Mathematical Physics
4 Journal of Approximation Theory
4 Acta Mathematicae Applicatae Sinica. English Series
4 SIAM Journal on Applied Mathematics
4 Bulletin of the American Mathematical Society. New Series
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Journal of High Energy Physics
4 Journal of Applied Mathematics and Computing
4 Advances in Difference Equations
4 Waves in Random and Complex Media
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Computer Methods in Applied Mechanics and Engineering
3 Fluid Dynamics
3 Journal of Applied Mathematics and Mechanics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Mathematische Annalen
3 Constructive Approximation
3 European Journal of Applied Mathematics
3 Numerical Algorithms
3 Journal of Dynamics and Differential Equations
3 Journal of Inverse and Ill-Posed Problems
3 European Journal of Control
3 Mathematical Physics, Analysis and Geometry
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Physica A
2 Physics Letters. B
2 Arkiv för Matematik
2 Mathematics of Computation
2 Bulletin of Mathematical Biology
2 Annales de l’Institut Fourier
...and 126 more Serials
all top 5

Cited in 49 Fields

1,065 Partial differential equations (35-XX)
532 Fluid mechanics (76-XX)
258 Dynamical systems and ergodic theory (37-XX)
181 Numerical analysis (65-XX)
86 Geophysics (86-XX)
84 Mechanics of deformable solids (74-XX)
64 Ordinary differential equations (34-XX)
40 Quantum theory (81-XX)
30 Approximations and expansions (41-XX)
28 Biology and other natural sciences (92-XX)
24 Statistical mechanics, structure of matter (82-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
20 Systems theory; control (93-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
19 Computer science (68-XX)
18 Optics, electromagnetic theory (78-XX)
17 Global analysis, analysis on manifolds (58-XX)
16 Functional analysis (46-XX)
16 Mechanics of particles and systems (70-XX)
10 Real functions (26-XX)
10 Differential geometry (53-XX)
9 Special functions (33-XX)
9 Operator theory (47-XX)
7 Integral equations (45-XX)
7 Probability theory and stochastic processes (60-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Potential theory (31-XX)
4 Algebraic geometry (14-XX)
4 Functions of a complex variable (30-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Relativity and gravitational theory (83-XX)
3 Astronomy and astrophysics (85-XX)
2 History and biography (01-XX)
2 Number theory (11-XX)
2 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Difference and functional equations (39-XX)
2 Integral transforms, operational calculus (44-XX)
2 Statistics (62-XX)
2 Operations research, mathematical programming (90-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Abstract harmonic analysis (43-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

Citations by Year