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Author ID: bona.jerry-l Recent zbMATH articles by "Bona, Jerry Lloyd"
Published as: Bona, Jerry L.; Bona, J. L.; Bona, Jerry; Bona, J.
Homepage: http://homepages.math.uic.edu/~bona/
External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef
all top 5

Co-Authors

7 single-authored
16 Chen, Hongqiu
12 Zhang, Bingyu
11 Sun, Shuming
10 Saut, Jean-Claude
9 Karakashian, Ohannes A.
8 Albert, John P.
8 Dougalis, Vassilios A.
8 Scialom, Marcia
7 Kalisch, Henrik
6 Chen, Min
6 Luo, Laihan
6 McKinney, William R.
6 Weissler, Fred B.
5 Colin, Thierry
5 Scott, Larkin Ridgway
4 Angulo Pava, Jaime
4 Bose, Deb Kumar
4 Grujić, Zoran
4 Lannes, David
4 Pritchard, W. G.
4 Restrepo, Juan Mario
4 Wu, Jiahong
3 Ambrose, David M.
3 Benjamin, Thomas Brooke
3 Guillopé, Colette
3 Hsia, Chun-Hsiung
3 Linares, Felipe
3 Liu, Yue
3 Mitsotakis, Dimitrios E.
3 Ponce, Gustavo
3 Promislow, Keith Steven
3 Schonbek, Maria Elena
3 Smith, Ronald
2 Bennett, Derek P.
2 Brown, Robert W.
2 Felland, M.
2 Li, Yi A.
2 Nguyen, Nghiem V.
2 Nicholls, David P.
2 Sachs, Robert L.
2 Santos, Manuel S.
2 Stansfield, S. E.
2 Stroughair, J. D.
2 Taha, Thiab R.
2 Tom, Michael Mudi
2 Winther, Ragnar
1 Abdelouhab, Laziz
1 Abergel, Frédéric
1 Ablowitz, Mark Jay
1 Alazman, A. A.
1 Amick, Charles J.
1 Beals, Richard W.
1 Beceanu, Marius
1 Berestycki, Henri
1 Biagioni, Hebe A.
1 Boczar-Karakiewicz, B.
1 Brézis, Haïm
1 Bryant, Peter J.
1 Carvajal, Xavier Paredes
1 Cascaval, Radu C.
1 Chanillo, Sagun
1 Choudhury, Sudipto Roy
1 Cohen, Amy
1 Cohen, D. L.
1 Colin, Mathieu
1 Dafermos, Constantine
1 Dai, Mimi
1 de Bouard, Anne
1 Guedes de Figueiredo, Djairo
1 Debnath, Lokenath
1 Demengel, Françoise
1 Duran, Angel
1 Ericksen, Jerald Laverne
1 Esfahani, Amin
1 Fokas, Athanassios S.
1 Groves, Mark D.
1 Haragus, Mariana
1 Hong, Youngjoon
1 Iorio, Rafael José jun.
1 Kaup, David J.
1 Kinderlehrer, David
1 Lebowitz, Joel Louis
1 Lenells, Jonatan
1 Li, Jenny X.
1 Lopes, Orlando Francisco
1 Ludu, Andrei
1 Ma, Tian
1 Mahony, John Joseph
1 Mastrian, Barbara
1 Mawhin, Jean L.
1 Milgrom, Timur
1 Newell, Alan C.
1 Nirenberg, Louis
1 Nussbaum, Roger David
1 Panthee, Mahendra
1 Pastor, Ademir
1 Phan, Tuoc Van
1 Pilod, Didier
1 Rajopadhye, Shubha V.
1 Roberts, Fred S.
...and 23 more Co-Authors
all top 5

Serials

15 Discrete and Continuous Dynamical Systems
9 Advances in Differential Equations
7 Nonlinearity
5 Journal of Differential Equations
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Nonlinear Science
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Philosophical Transactions of the Royal Society of London. Ser. A
4 Physica D
4 Differential and Integral Equations
3 Mathematics and Computers in Simulation
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
3 SIAM Journal on Mathematical Analysis
3 Discrete and Continuous Dynamical Systems. Series B
3 Contemporary Mathematics
2 Archive for Rational Mechanics and Analysis
2 Communications in Mathematical Physics
2 Journal of Computational Physics
2 Journal of Mathematical Analysis and Applications
2 Indiana University Mathematics Journal
2 Journal of Economic Theory
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 The Canadian Applied Mathematics Quarterly
2 Matemática Contemporânea
2 Communications in Contemporary Mathematics
2 Discrete and Continuous Dynamical Systems. Series S
1 Applicable Analysis
1 Applied Scientific Research
1 Geophysical and Astrophysical Fluid Dynamics
1 IMA Journal of Applied Mathematics
1 Physics of Fluids
1 Mathematics of Computation
1 Applied Mathematics and Optimization
1 Duke Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Journal of Mathematical Economics
1 Nagoya Mathematical Journal
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Bulletin of the Iranian Mathematical Society
1 Applied Numerical Mathematics
1 Journal of Scientific Computing
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Communications in Partial Differential Equations
1 SIAM Journal on Applied Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Matemática Aplicada e Computacional
1 Notices of the American Mathematical Society
1 Computers and Mathematics with Applications. Part A
1 Philosophical Transactions of the Royal Society of London. Series A
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Mathematical Study
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Communications in Mathematical Sciences
1 Oberwolfach Reports
1 Dynamics of Partial Differential Equations
1 Proceedings of the Cambridge Philosophical Society
1 The IMA Volumes in Mathematics and its Applications
1 Springer Series in Synergetics
1 São Paulo Journal of Mathematical Sciences
1 Analysis and Mathematical Physics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Pure and Applied Functional Analysis
1 Water Waves

Publications by Year

Citations contained in zbMATH Open

142 Publications have been cited 5,371 times in 2,901 Documents Cited by Year
Model equations for long waves in nonlinear dispersive systems. Zbl 0229.35013
Benjamin, T. B.; Bona, J. L.; Mahony, J. J.
896
1972
The initial-value problem for the Korteweg-de Vries equation. Zbl 0306.35027
Bona, J. L.; Smith, R.
377
1975
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044
Bona, J. L.; Chen, M.; Saut, J.-C.
227
2002
Stability and instability of solitary waves of Korteweg-de Vries type. Zbl 0648.76005
Bona, J. L.; Souganidis, P. E.; Strauss, W. A.
194
1987
On the stability theory of solitary waves. Zbl 0328.76016
Bona, J.
151
1975
Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation. Zbl 0654.35018
Bona, Jerry L.; Sachs, Robert L.
150
1988
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103
Bona, J. L.; Chen, M.; Saut, J.-C.
143
2004
A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049
Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu
130
2003
Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227
Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C.
129
1989
Long wave approximations for water waves. Zbl 1108.76012
Bona, Jerry L.; Colin, Thierry; Lannes, David
116
2005
An evaluation of a model equation for water waves. Zbl 0497.76023
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
113
1981
Decay of solutions of some nonlinear wave equations. Zbl 0689.35081
Amick, C. J.; Bona, J. L.; Schonbek, M. E.
105
1989
A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane. Zbl 0988.35141
Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu
88
2002
Travelling-wave solutions to the Korteweg-de Vries-Burgers equation. Zbl 0594.76015
Bona, J. L.; Schonbek, M. E.
86
1985
Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. Zbl 1276.65058
Bona, J. L.; Chen, H.; Karakashian, O.; Xing, Y.
85
2013
Conservative, high-order numerical schemes for the generalized Korteweg- de Vries equation. Zbl 0824.65095
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
81
1995
Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces. Zbl 0335.35032
Bona, Jerry; Scott, Ridgway
71
1976
Asymptotic models for internal waves. Zbl 1138.76028
Bona, J. L.; Lannes, D.; Saut, J.-C.
69
2008
Sharp well-posedness results for the BBM equation. Zbl 1170.35303
Bona, Jerry; Tzvetkov, Nikolay
66
2009
A Boussinesq system for two-way propagation of nonlinear dispersive waves. Zbl 0962.76515
Bona, Jerry L.; Chen, Min
63
1998
A model for the two-way propagation of water waves in a channel. Zbl 0332.76007
Bona, Jerry L.; Smith, Ronald
63
1976
The Korteweg-de Vries equation, posed in a quarter-plane. Zbl 0529.35069
Bona, Jerry; Winther, Ragnar
61
1983
Sufficient conditions for stability of solitary-wave solutions of model equations for long waves. Zbl 0634.35079
Albert, J. P.; Bona, J. L.; Henry, D. B.
59
1987
Stability of cnoidal waves. Zbl 1147.35079
Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia
58
2006
Solitary-wave interaction. Zbl 0425.76019
Bona, Jerry L.; Pritchard, W. G.; Scott, L. Ridgway
53
1980
Dispersive blowup of solutions of generalized Korteweg-de Vries equations. Zbl 0795.35101
Bona, J. L.; Saut, J.-C.
52
1993
Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation. Zbl 1095.35039
Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik
51
2005
A mathematical model for long waves generated by wavemakers in non-linear dispersive systems. Zbl 0261.76007
Bona, J. L.; Bryant, P. J.
50
1973
Decay and analyticity of solitary waves. Zbl 0878.35098
Bona, Jerry L.; Li, Yi A.
44
1997
Numerical schemes for a model for nonlinear dispersive waves. Zbl 0578.65120
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
43
1985
Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations. Zbl 1379.35287
Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu
42
2018
Total positivity and the stability of internal waves in stratified fluids of finite depth. Zbl 0723.76106
Albert, J. P.; Bona, J. L.
41
1991
An initial- and boundary-value problem for a model equation for propagation of long waves. Zbl 0444.35069
Bona, Jerry L.
39
1980
Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane. Zbl 1157.35090
Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu
39
2008
Fully discrete Galerkin methods for the Korteweg-de Vries equation. Zbl 0597.65072
Bona, Jerry L.; Dougalis, Vassilios A.; Karakashian, Ohannes A.
37
1986
Model equations for waves in stratified fluids. Zbl 0886.35111
Albert, J. P.; Bona, J. L.; Saut, J.-C.
37
1997
Finite-amplitude steady waves in stratified fluids. Zbl 0491.35049
Bona, J. L.; Bose, D. K.; Turner, R. E. L.
36
1983
Solitary-wave solutions of the Benjamin equation. Zbl 0945.76012
Albert, John P.; Bona, Jerry L.; Restrepo, Juan Mario
36
1999
A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II. Zbl 1181.35228
Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu
35
2009
Models for internal waves in deep water. Zbl 1021.76006
Kalisch, Henrik; Bona, Jerry L.
34
2000
On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103
Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M.
34
1996
Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation. Zbl 0972.35131
Bona, J. L.; McKinney, W. R.; Restrepo, J. M.
33
2000
A model system for strong interaction between internal solitary waves. Zbl 0752.35056
Bona, Jerry L.; Ponce, Gustavo; Saut, Jean-Claude; Tom, Michael M.
33
1992
Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications. Zbl 1152.35099
Bona, Jerry L.; Sun, S. M.; Zhang, Bingyu
32
2006
Comparisons between the BBM equation and a Boussinesq system. Zbl 1104.35039
Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J.
31
2006
Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132
Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C.
31
2014
Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane. Zbl 1054.35076
Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu
30
2003
Solitary-wave solutions of nonlinear problems. Zbl 0707.35131
Benjamin, T. B.; Bona, J. L.; Bose, D. K.
30
1990
The stability of internal solitary waves. Zbl 0574.76028
Bennett, D. P.; Brown, R. W.; Stansfield, S. E.; Stroughair, J. D.; Bona, J. L.
29
1983
Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip. Zbl 1109.35103
Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik
28
2006
On the stability of solitary-wave solutions of model equations for long waves. Zbl 0809.35095
Bona, J. L.; Soyeur, A.
27
1994
Numerical solution of KdV-KdV systems of Boussinesq equations. I: The numerical scheme and generalized solitary waves. Zbl 1158.35410
Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E.
25
2007
Nonlinear dispersive waves on trees. Zbl 1167.76054
Bona, Jerry L.; Cascaval, Radu C.
24
2008
A comparison of solutions of two model equations for long waves. Zbl 0534.76024
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
21
1983
Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations. Zbl 0944.35082
Chen, Hongqiu; Bona, Jerry L.
21
1998
The Korteweg-de Vries equation in a quarter plane, continuous dependence results. Zbl 0734.35120
Bona, Jerry L.; Winther, Ragnar
21
1989
Spatial analyticity properties of nonlinear waves. Zbl 1137.35418
Bona, Jerry L.; Grujić, Zoran
20
2003
More results on the decay of solutions to nonlinear, dispersive wave equations. Zbl 0870.35088
Bona, Jerry L.; Luo, Laihan
19
1995
Decay of solutions to nonlinear, dispersive wave equations. Zbl 0780.35098
Bona, Jerry L.; Luo, Laihan
19
1993
Higher-order Hamiltonian model for unidirectional water waves. Zbl 1384.35111
Bona, J. L.; Carvajal, X.; Panthee, M.; Scialom, M.
18
2018
Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. Zbl 1230.30026
Bona, J. L.; Fokas, A. S.
18
2008
Stability and decay properties of solitary-wave solutions to the generalized BO-ZK equation. Zbl 1325.35162
Esfahani, Amin; Pastor, Ademir; Bona, Jerry L.
18
2015
Numerical solution of Boussinesq systems of KdV-KdV type. II: Evolution of radiating solitary waves. Zbl 1158.35411
Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E.
17
2008
Analyticity of solitary-wave solutions of model equations for long waves. Zbl 0851.35117
Li, Yi A.; Bona, Jerry L.
16
1996
Singularity formation in the generalized Benjamin-Ono equation. Zbl 1063.35134
Bona, J. L.; Kalisch, H.
16
2004
A mathematical theory for viscous, free-surface flows over a perturbed plane. Zbl 0765.76024
Abergel, F.; Bona, J. L.
16
1992
Comparisons between model equations for long waves. Zbl 0791.35123
Albert, J. P.; Bona, J. L.
16
1991
The zero-viscosity limit of the 2D Navier-Stokes equations. Zbl 1141.35431
Bona, Jerry L.; Wu, Jiahong
16
2002
On solitary waves and their role in the evolution of long waves. Zbl 0498.76023
Bona, Jerry L.
15
1981
Well-posedness of a model for water waves with viscosity. Zbl 1238.35093
Ambrose, David M.; Bona, Jerry L.; Nicholls, David P.
15
2012
Conditional and unconditional well-posedness for nonlinear evolution equations. Zbl 1103.35092
Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu
14
2004
Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation. Zbl 0757.65123
Bona, Jerry L.; Dougalis, Vassilios A.; Karakashian, Ohannes A.; McKinney, William R.
14
1992
Scaling, stability and singularities for nonlinear, dispersive wave equations: The critical case. Zbl 1034.35116
Angulo, J.; Bona, J. L.; Linares, F.; Scialom, M.
14
2002
Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations. Zbl 0837.35130
Bona, J. L.; Promislow, K. S.; Wayne, C. E.
13
1995
Solitary waves in nonlinear dispersive systems. Zbl 1162.35438
Bona, Jerry; Chen, Hongqiu
13
2002
Well-posedness for regularized nonlinear dispersive wave equations. Zbl 1158.35412
Bona, Jerry; Chen, Hongqiu
13
2009
The existence of internal solitary waves in a two-fluid system near the KdV limit. Zbl 0708.76136
Bona, Jerry L.; Sachs, Robert L.
13
1989
Models for propagation of bores. I: Two dimensional theory. Zbl 0808.35122
Bona, J. L.; Rajopadhye, S. V.; Schonbek, M. E.
13
1994
Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities. Zbl 1372.35271
Bona, Jerry L.; Cohen, Jonathan; Wang, Gang
13
2014
A KdV-type Boussinesq system: From the energy level to analytic spaces. Zbl 1183.35226
Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik
12
2010
The effect of dissipation on solutions of the generalized Korteweg-de Vries equation. Zbl 0869.65059
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
12
1996
Stability of solitary-wave solutions of systems of dispersive equations. Zbl 1362.35253
Bona, Jerry L.; Chen, Hongqiu; Karakashian, Ohannes
12
2017
Convergence of periodic wavetrains in the limit of large wavelength. Zbl 0469.76018
Bona, Jerry L.
11
1981
Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. Zbl 1204.35132
Bona, Jerry L.; Saut, Jean-Claude
10
2010
The initial-value problem for the forced Korteweg-de Vries equation. Zbl 0865.35114
Bona, Jerry L.; Zhang, Bing-Yu
10
1996
Fourier splitting and dissipation of nonlinear dispersive waves. Zbl 0947.35130
Bona, J. L.; Demengel, F.; Promislow, K.
10
1999
Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. Zbl 1088.35057
Bona, Jerry L.; Chen, Hongqiu; Sun, Shu Ming; Zhang, B.-Y.
10
2005
Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439
Bona, Jerry L.; Weissler, Fred B.
10
2009
On ill-posedness of truncated series models for water waves. Zbl 1371.35210
Ambrose, David M.; Bona, Jerry L.; Nicholls, David P.
10
2014
Global solutions and ill-posedness for the Kaup system and related Boussinesq systems. Zbl 1439.35389
Ambrose, David; Bona, Jerry; Milgrom, Timur
10
2019
Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164
Bona, J. L.; Weissler, F. B.
9
1999
A generalized Korteweg-de Vries equation in a quarter plane. Zbl 0922.35150
Bona, Jerry L.; Luo, Laihan
9
1999
The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. Zbl 1023.35085
Bona, Jerry L.; Liu, Yue; Tom, Michael M.
9
2002
Norm-inflation results for the BBM equation. Zbl 1350.35068
Bona, Jerry; Dai, Mimi
9
2017
Periodic traveling-wave solutions of nonlinear dispersive evolution equations. Zbl 1277.35096
Chen, Hongqiu; Bona, Jerry L.
8
2013
Comparison of model equations for small-amplitude long waves. Zbl 0948.35108
Bona, Jerry L.; Chen, Hongqiu
7
1999
Comparison of quarter-plane and two-point boundary value problems: the KdV-equation. Zbl 1123.35052
Bona, Jerry L.; Chen, Hongqiu; Sun, Shu-Ming; Zhang, Bing-Yu
7
2007
Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation. Zbl 0982.35018
Bona, Jerry L.; Luo, Laihan
7
2001
On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations. Zbl 0823.35018
Bona, Jerry; Promislow, Keith; Wayne, Gene
7
1994
Temporal growth and eventual periodicity for dispersive wave equations in a quarter plane. Zbl 1155.35428
Bona, Jerry; Wu, Jiahong
7
2009
Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations. Zbl 1460.76146
Bona, Jerry L.; Durán, Angel; Mitsotakis, Dimitrios
2
2021
The KdV equation on the half-line: time-periodicity and mass transport. Zbl 1439.35424
Bona, Jerry L.; Lenells, Jonatan
1
2020
Global solutions and ill-posedness for the Kaup system and related Boussinesq systems. Zbl 1439.35389
Ambrose, David; Bona, Jerry; Milgrom, Timur
10
2019
Propagation of long-crested water waves. II. Bore propagation. Zbl 1447.76009
Bona, Jerry L.; Colin, Thierry; Guillopé, Colette
3
2019
Nonlinear dispersive waves and fluids. AMS special sessions on spectral calculus and quasilinear partial differential equations, and PDE analysis on fluid flows, Atlanta, GA, USA, January 5–7, 2017. Zbl 1414.35005
1
2019
Further theory for a higher-order water wave model. Zbl 1479.35649
Bona, Jerry L.; Chen, Hongqiu; Guillopé, Colette
1
2019
Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations. Zbl 1379.35287
Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu
42
2018
Higher-order Hamiltonian model for unidirectional water waves. Zbl 1384.35111
Bona, J. L.; Carvajal, X.; Panthee, M.; Scialom, M.
18
2018
Finite element methods for a system of dispersive equations. Zbl 1406.65083
Bona, Jerry L.; Chen, Hongqiu; Karakashian, Ohannes; Wise, Michael M.
4
2018
Felix Browder (1927–2016). Zbl 1406.35004
Brezis, Haïim; Nussbaum, Roger D.; Cohen, Amy; Beals, Richard; Mawhin, Jean; Teman, Roger; Nirenberg, Louis; Berestycki, Henri; Mastrian, Barbara; Chanillo, Sagun; Lebowitz, Joel; Roberts, Fred; Bona, Jerry
1
2018
Stability of solitary-wave solutions of systems of dispersive equations. Zbl 1362.35253
Bona, Jerry L.; Chen, Hongqiu; Karakashian, Ohannes
12
2017
Norm-inflation results for the BBM equation. Zbl 1350.35068
Bona, Jerry; Dai, Mimi
9
2017
Singular solutions of a Boussinesq system for water waves. Zbl 1374.35339
Bona, Jerry L.; Chen, Min
6
2016
Global well-posedness and singularity propagation for the BBM-BBM system on a quarter plane. Zbl 1382.35207
Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung
1
2016
Stability and decay properties of solitary-wave solutions to the generalized BO-ZK equation. Zbl 1325.35162
Esfahani, Amin; Pastor, Ademir; Bona, Jerry L.
18
2015
Dispersive blow-up for nonlinear Schrödinger equations revisited. Zbl 1304.35132
Bona, J. L.; Ponce, G.; Saut, J.-C.; Sparber, C.
31
2014
Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities. Zbl 1372.35271
Bona, Jerry L.; Cohen, Jonathan; Wang, Gang
13
2014
On ill-posedness of truncated series models for water waves. Zbl 1371.35210
Ambrose, David M.; Bona, Jerry L.; Nicholls, David P.
10
2014
Well-posedness for the \(BBM\)-equation in a quarter plane. Zbl 1302.35309
Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung
1
2014
Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. Zbl 1276.65058
Bona, J. L.; Chen, H.; Karakashian, O.; Xing, Y.
85
2013
Periodic traveling-wave solutions of nonlinear dispersive evolution equations. Zbl 1277.35096
Chen, Hongqiu; Bona, Jerry L.
8
2013
Propagation of long-crested water waves. Zbl 1302.35310
Bona, Jerry L.; Colin, Thierry; Guillopé, Colette
6
2013
Singularity formation and blowup of complex-valued solutions of the modified KdV equation. Zbl 1290.35221
Bona, Jerry L.; Vento, Stéphane; Weissler, Fred B.
3
2013
Well-posedness of a model for water waves with viscosity. Zbl 1238.35093
Ambrose, David M.; Bona, Jerry L.; Nicholls, David P.
15
2012
Hopf bifurcation for two-dimensional doubly diffusive convection. Zbl 1243.35016
Bona, Jerry L.; Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
4
2011
Large-time asymptotics of the generalized Benjamin-Ono-Burgers equation. Zbl 1218.35035
Bona, Jerry L.; Luo, Laihan
4
2011
A KdV-type Boussinesq system: From the energy level to analytic spaces. Zbl 1183.35226
Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik
12
2010
Dispersive blow-up. II: Schrödinger-type equations, optical and oceanic rogue waves. Zbl 1204.35132
Bona, Jerry L.; Saut, Jean-Claude
10
2010
Approximating initial-value problems with two-point boundary-value problems: BBM-equation. Zbl 1218.35203
Bona, J. L.; Chen, H.; Sun, S.-M.; Zhang, B.-Y.
3
2010
Sharp well-posedness results for the BBM equation. Zbl 1170.35303
Bona, Jerry; Tzvetkov, Nikolay
66
2009
A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II. Zbl 1181.35228
Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu
35
2009
Well-posedness for regularized nonlinear dispersive wave equations. Zbl 1158.35412
Bona, Jerry; Chen, Hongqiu
13
2009
Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV. Zbl 1154.35439
Bona, Jerry L.; Weissler, Fred B.
10
2009
Temporal growth and eventual periodicity for dispersive wave equations in a quarter plane. Zbl 1155.35428
Bona, Jerry; Wu, Jiahong
7
2009
Asymptotic models for internal waves. Zbl 1138.76028
Bona, J. L.; Lannes, D.; Saut, J.-C.
69
2008
Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane. Zbl 1157.35090
Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu
39
2008
Nonlinear dispersive waves on trees. Zbl 1167.76054
Bona, Jerry L.; Cascaval, Radu C.
24
2008
Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. Zbl 1230.30026
Bona, J. L.; Fokas, A. S.
18
2008
Numerical solution of Boussinesq systems of KdV-KdV type. II: Evolution of radiating solitary waves. Zbl 1158.35411
Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E.
17
2008
Numerical solution of KdV-KdV systems of Boussinesq equations. I: The numerical scheme and generalized solitary waves. Zbl 1158.35410
Bona, J. L.; Dougalis, V. A.; Mitsotakis, D. E.
25
2007
Comparison of quarter-plane and two-point boundary value problems: the KdV-equation. Zbl 1123.35052
Bona, Jerry L.; Chen, Hongqiu; Sun, Shu-Ming; Zhang, Bing-Yu
7
2007
On the stability of KdV multi-solitons. Zbl 1212.35380
Albert, John P.; Bona, Jerry L.; Nguyen, Nghiem V.
7
2007
Stability of cnoidal waves. Zbl 1147.35079
Angulo Pava, Jaime; Bona, Jerry L.; Scialom, Marcia
58
2006
Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications. Zbl 1152.35099
Bona, Jerry L.; Sun, S. M.; Zhang, Bingyu
32
2006
Comparisons between the BBM equation and a Boussinesq system. Zbl 1104.35039
Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J.
31
2006
Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip. Zbl 1109.35103
Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik
28
2006
Long wave approximations for water waves. Zbl 1108.76012
Bona, Jerry L.; Colin, Thierry; Lannes, David
116
2005
Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation. Zbl 1095.35039
Bona, Jerry L.; Grujić, Zoran; Kalisch, Henrik
51
2005
Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. Zbl 1088.35057
Bona, Jerry L.; Chen, Hongqiu; Sun, Shu Ming; Zhang, B.-Y.
10
2005
Wave generation by a moving boundary. Zbl 1084.35069
Bona, Jerry L.; Varlamov, Vladimir V.
3
2005
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103
Bona, J. L.; Chen, M.; Saut, J.-C.
143
2004
Singularity formation in the generalized Benjamin-Ono equation. Zbl 1063.35134
Bona, J. L.; Kalisch, H.
16
2004
Conditional and unconditional well-posedness for nonlinear evolution equations. Zbl 1103.35092
Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu
14
2004
Stability of solitary waves in higher-order Sobolev spaces. Zbl 1089.35057
Bona, Jerry L.; Liu, Yue; Nguyen, Nghiem V.
5
2004
A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049
Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu
130
2003
Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane. Zbl 1054.35076
Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu
30
2003
Spatial analyticity properties of nonlinear waves. Zbl 1137.35418
Bona, Jerry L.; Grujić, Zoran
20
2003
Long wave approximations for water waves. Zbl 1050.76006
Bona, Jerry; Colin, Thierry; Lannes, David
3
2003
Local and global well-posedness results for generalized BBM-type equations. Zbl 1045.35052
Bona, Jerry L.; Chen, Hongqiu
1
2003
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044
Bona, J. L.; Chen, M.; Saut, J.-C.
227
2002
A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane. Zbl 0988.35141
Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu
88
2002
The zero-viscosity limit of the 2D Navier-Stokes equations. Zbl 1141.35431
Bona, Jerry L.; Wu, Jiahong
16
2002
Scaling, stability and singularities for nonlinear, dispersive wave equations: The critical case. Zbl 1034.35116
Angulo, J.; Bona, J. L.; Linares, F.; Scialom, M.
14
2002
Solitary waves in nonlinear dispersive systems. Zbl 1162.35438
Bona, Jerry; Chen, Hongqiu
13
2002
The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. Zbl 1023.35085
Bona, Jerry L.; Liu, Yue; Tom, Michael M.
9
2002
Instability of solitary-wave solutions of the 3-dimensional Kadomtsev-Petviashvili equation. Zbl 1223.35271
Bona, Jerry L.; Liu, Yue
3
2002
Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation. Zbl 0982.35018
Bona, Jerry L.; Luo, Laihan
7
2001
Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations. Zbl 1330.35036
Bona, J. L.; Weissler, F. B.
4
2001
Stabilizing monetary-injection policies. Zbl 1028.91544
Bona, Jerry L.; Li, Jenny X.
2
2001
Models for internal waves in deep water. Zbl 1021.76006
Kalisch, Henrik; Bona, Jerry L.
34
2000
Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation. Zbl 0972.35131
Bona, J. L.; McKinney, W. R.; Restrepo, J. M.
33
2000
Zero-dissipation limit for nonlinear waves. Zbl 0953.76006
Bona, Jerry L.; Wu, Jiahong
2
2000
Nonlinear PDE’s, dynamics and continuum physics. 1998 AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, MA, USA, July 10–23, 1998. Zbl 0941.00019
1
2000
Solitary-wave solutions of the Benjamin equation. Zbl 0945.76012
Albert, John P.; Bona, Jerry L.; Restrepo, Juan Mario
36
1999
Fourier splitting and dissipation of nonlinear dispersive waves. Zbl 0947.35130
Bona, J. L.; Demengel, F.; Promislow, K.
10
1999
Similarity solutions of the generalized Korteweg-de Vries equation. Zbl 0939.35164
Bona, J. L.; Weissler, F. B.
9
1999
A generalized Korteweg-de Vries equation in a quarter plane. Zbl 0922.35150
Bona, Jerry L.; Luo, Laihan
9
1999
Comparison of model equations for small-amplitude long waves. Zbl 0948.35108
Bona, Jerry L.; Chen, Hongqiu
7
1999
On the structure of singularities in solutions of the nonlinear Schrödinger equation for the critical case, \(p=4/n\). Zbl 0937.35165
Angulo, Jaime; Bona, Jerry L.; Linares, Felipe; Scialom, Marcia
1
1999
A Boussinesq system for two-way propagation of nonlinear dispersive waves. Zbl 0962.76515
Bona, Jerry L.; Chen, Min
63
1998
Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations. Zbl 0944.35082
Chen, Hongqiu; Bona, Jerry L.
21
1998
Decay and analyticity of solitary waves. Zbl 0878.35098
Bona, Jerry L.; Li, Yi A.
44
1997
Model equations for waves in stratified fluids. Zbl 0886.35111
Albert, J. P.; Bona, J. L.; Saut, J.-C.
37
1997
On the role of computation in economic theory. Zbl 0883.90056
Bona, Jerry L.; Santos, Manuel S.
3
1997
Higher-order Boussinesq systems for two-way propagations of water waves. Zbl 0972.35130
Chen, Min; Bona, Jerry L.
1
1997
On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103
Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M.
34
1996
Analyticity of solitary-wave solutions of model equations for long waves. Zbl 0851.35117
Li, Yi A.; Bona, Jerry L.
16
1996
The effect of dissipation on solutions of the generalized Korteweg-de Vries equation. Zbl 0869.65059
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
12
1996
The initial-value problem for the forced Korteweg-de Vries equation. Zbl 0865.35114
Bona, Jerry L.; Zhang, Bing-Yu
10
1996
Numerical simulation of singular solutions of the generalized Korteweg-de Vries equation. Zbl 0860.35112
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
2
1996
Conservative, high-order numerical schemes for the generalized Korteweg- de Vries equation. Zbl 0824.65095
Bona, J. L.; Dougalis, V. A.; Karakashian, O. A.; McKinney, W. R.
81
1995
More results on the decay of solutions to nonlinear, dispersive wave equations. Zbl 0870.35088
Bona, Jerry L.; Luo, Laihan
19
1995
Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations. Zbl 0837.35130
Bona, J. L.; Promislow, K. S.; Wayne, C. E.
13
1995
The effect of change in the nonlinearity and the dispersion relation of model equations for long waves. Zbl 0832.35123
Bona, J. L.; Scialom, M.
5
1995
Three-dimensional model for the formation of longshore sand structures on the continental shelf. Zbl 0833.76009
Restrepo, Juan Mario; Bona, Jerry L.
1
1995
Discretization of a model for the formation of longshore sand ridges. Zbl 0879.76062
Restrepo, Juan Mario; Bona, Jerry L.
1
1995
On the comparison of solutions of model equations for long waves. Zbl 0854.35099
Bona, J. L.; Scialom, M.
1
1995
On the stability of solitary-wave solutions of model equations for long waves. Zbl 0809.35095
Bona, J. L.; Soyeur, A.
27
1994
Models for propagation of bores. I: Two dimensional theory. Zbl 0808.35122
Bona, J. L.; Rajopadhye, S. V.; Schonbek, M. E.
13
1994
On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations. Zbl 0823.35018
Bona, Jerry; Promislow, Keith; Wayne, Gene
7
1994
...and 42 more Documents
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Cited by 2,861 Authors

50 Bona, Jerry Lloyd
37 Zhang, Bingyu
33 Saut, Jean-Claude
31 Guo, Boling
30 Himonas, A. Alexandrou
30 Liu, Yue
29 Kalisch, Henrik
27 Esfahani, Amin
26 Mitsotakis, Dimitrios E.
26 Ponce, Gustavo
25 Linares, Felipe
24 Dutykh, Denys
24 Pazoto, Ademir Fernando
23 Dougalis, Vassilios A.
23 Lar’kin, Nikolaj Andreevich
20 Hayashi, Nakao
20 Pastor, Ademir
20 Yin, Zhaoyang
20 Zhang, Weiguo
19 Kaikina, Elena Igorevna
19 Muñoz, Claudio
19 Natali, Fábio M. Amorin
19 Naumkin, Pavel Ivanovich
18 Angulo Pava, Jaime
17 Duran, Angel
17 Panthee, Mahendra
16 Chen, Min
16 Mammeri, Youcef
15 Molinet, Luc
15 Mu, Chunlai
14 Carvajal, Xavier Paredes
14 Kenig, Carlos Eduardo
14 Sun, Shuming
14 Wazwaz, Abdul-Majid Abdul-Rahman
13 Capistrano-Filho, Roberto de A.
13 Coclite, Giuseppe Maria
13 Dağ, İdris
13 Erbay, Saadet
13 Erkip, Albert Kohen
13 Lannes, David
13 Liu, Hailiang
13 Mai Duc Thanh
13 Martel, Yvan
13 Tzvetkov, Nikolay
12 Cavalcante, Márcio André Araújo
12 Chen, Robin Ming
12 Hakkaev, Sevdzhan A.
12 Israwi, Samer
12 Liu, Zhengrong
12 Muñoz Grajales, Juan Carlos
12 Omrani, Khaled
12 Wang, Ming
12 Xing, Yulong
11 Capistrano-Filho, Roberto A.
11 Di Ruvo, Lorenzo
11 Faminskii, Andrei V.
11 Farah, Luiz Gustavo
11 Fokas, Athanassios S.
11 Karakashian, Ohannes A.
11 Yan, Fangchi
11 Zhang, Linghai
10 Ambrose, David M.
10 Chentouf, Boumediène
10 Gallego, Fernando Andrés
10 Goubet, Olivier
10 Lenells, Jonatan
10 Mantzavinos, Dionyssios
10 Petronilho, Gerson
10 Shu, Chi-Wang
10 Tesfahun, Achenef
9 Cappiello, Marco
9 Gao, Hongjun
9 Lai, Shaoyong
9 Merle, Frank
9 Pilod, Didier
9 Scialom, Marcia
9 Smaoui, Nejib
9 Stefanov, Atanas G.
9 Umarov, Khasan Galsanovich
9 Vega, Luis
9 Xu, Yan
9 Yang, Zhijian
9 Zhou, Jun
9 Zhou, Shouming
8 Camassa, Roberto
8 Chen, Hongqiu
8 Granero Belinchón, Rafael
8 Holmer, Justin
8 Hur, Vera Mikyoung
8 Johnson, Mathew A.
8 Klein, Christian
8 Korpusov, Maksim Olegovich
8 Kwak, Chulkwang
8 Nguyen Huy Tuan
8 Omel’yanov, Georgii A.
8 Pelinovsky, Dmitry Efimovich
8 Perla Menzala, Gustavo Alberto
8 Rosier, Lionel
8 Saka, Bülent
8 Xu, Runzhang
...and 2,761 more Authors
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Cited in 387 Serials

163 Journal of Differential Equations
126 Journal of Mathematical Analysis and Applications
110 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
75 Applied Mathematics and Computation
73 Journal of Mathematical Physics
69 Physica D
51 Discrete and Continuous Dynamical Systems
44 Applicable Analysis
43 Wave Motion
41 Chaos, Solitons and Fractals
40 Mathematical Methods in the Applied Sciences
40 Communications in Partial Differential Equations
37 Journal of Functional Analysis
36 Communications in Mathematical Physics
36 Communications in Nonlinear Science and Numerical Simulation
34 Nonlinearity
34 Studies in Applied Mathematics
32 SIAM Journal on Mathematical Analysis
31 Nonlinear Analysis. Real World Applications
31 Communications on Pure and Applied Analysis
30 Archive for Rational Mechanics and Analysis
30 Journal of Computational Physics
30 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
30 Journal of Scientific Computing
29 Applied Numerical Mathematics
28 Journal of Computational and Applied Mathematics
28 Mathematics and Computers in Simulation
25 Discrete and Continuous Dynamical Systems. Series B
25 Nonlinear Analysis. Theory, Methods & Applications
24 Computers & Mathematics with Applications
24 Applied Mathematics Letters
24 International Journal of Computer Mathematics
22 Journal of Nonlinear Science
22 Abstract and Applied Analysis
21 ZAMP. Zeitschrift für angewandte Mathematik und Physik
21 Acta Mathematicae Applicatae Sinica. English Series
21 Boundary Value Problems
20 Numerical Methods for Partial Differential Equations
20 Journal of Evolution Equations
18 Journal of Fluid Mechanics
18 Proceedings of the American Mathematical Society
18 Journal de Mathématiques Pures et Appliquées. Neuvième Série
17 Transactions of the American Mathematical Society
17 Mathematical Problems in Engineering
16 Mathematics of Computation
16 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
16 Journal of Dynamics and Differential Equations
16 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
16 Journal of Mathematical Fluid Mechanics
16 Discrete and Continuous Dynamical Systems. Series S
15 Advances in Difference Equations
14 Acta Applicandae Mathematicae
14 Physics of Fluids
14 European Journal of Mechanics. B. Fluids
14 Communications in Contemporary Mathematics
14 Communications in Computational Physics
13 Monatshefte für Mathematik
13 Nonlinear Dynamics
13 Evolution Equations and Control Theory
12 Mathematische Annalen
12 Applied Mathematical Modelling
12 NoDEA. Nonlinear Differential Equations and Applications
12 Journal of Nonlinear Mathematical Physics
12 Advances in Mathematical Physics
12 Water Waves
10 Physics Letters. A
10 Quarterly of Applied Mathematics
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Science China. Mathematics
9 Computer Methods in Applied Mechanics and Engineering
9 Communications on Pure and Applied Mathematics
9 Advances in Mathematics
9 Applied Mathematics and Optimization
9 Journal of the American Mathematical Society
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Computational Mathematics and Mathematical Physics
9 Differential Equations
9 Analysis and Mathematical Physics
9 Mathematical Control and Related Fields
9 SN Partial Differential Equations and Applications
8 Numerische Mathematik
8 Calculus of Variations and Partial Differential Equations
8 Bulletin of the Brazilian Mathematical Society. New Series
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 SIAM Journal on Control and Optimization
7 Chinese Annals of Mathematics. Series B
7 Numerical Algorithms
7 Qualitative Theory of Dynamical Systems
7 Mediterranean Journal of Mathematics
7 International Journal of Numerical Analysis and Modeling
6 Computers and Fluids
6 Indian Journal of Pure & Applied Mathematics
6 Theoretical and Mathematical Physics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Boletim da Sociedade Brasileira de Matemática
6 Duke Mathematical Journal
6 Indiana University Mathematics Journal
6 Inventiones Mathematicae
6 SIAM Journal on Numerical Analysis
6 SIAM Journal on Scientific Computing
...and 287 more Serials
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Cited in 43 Fields

2,583 Partial differential equations (35-XX)
803 Fluid mechanics (76-XX)
546 Numerical analysis (65-XX)
338 Dynamical systems and ergodic theory (37-XX)
117 Systems theory; control (93-XX)
95 Mechanics of deformable solids (74-XX)
84 Ordinary differential equations (34-XX)
68 Operator theory (47-XX)
58 Geophysics (86-XX)
43 Quantum theory (81-XX)
40 Calculus of variations and optimal control; optimization (49-XX)
39 Probability theory and stochastic processes (60-XX)
37 Real functions (26-XX)
35 Integral equations (45-XX)
32 Harmonic analysis on Euclidean spaces (42-XX)
31 Functional analysis (46-XX)
31 Statistical mechanics, structure of matter (82-XX)
27 Optics, electromagnetic theory (78-XX)
20 Global analysis, analysis on manifolds (58-XX)
17 Special functions (33-XX)
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