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Philosophical Transactions of the Royal Society of London. Ser. A

Mathematical and Physical Sciences

Short Title: Philos. Trans. R. Soc. Lond., Ser. A
Publisher: The Royal Society of London, London
ISSN: 0080-4614; 1471-2962/e
Online: http://www.journals.royalsoc.ac.uk/content/102021/
http://www.jstor.org/journals/00804614.html
Predecessor: Philosophical Transactions of the Royal Society of London, Series A
Successor: Philosophical Transactions of the Royal Society of London. Series A
Comments: No longer indexed; Journal abbreviations vary in sources
Documents Indexed: 466 Publications (1934–1990)
all top 5

Authors

10 Longuet-Higgins, Michael Selwyn
9 Adkins, J. E.
9 Green, Albert E.
9 Rivlin, Ronald Samuel
7 Naghdi, Paul Mansour
6 Olver, Frank William John
6 Southwell, Richard Vynne
5 Doodson, A. T.
5 Mahony, John Joseph
5 Roberts, Paul H.
4 Bates, D. R.
4 Bona, Jerry Lloyd
4 Boys, S. F.
4 Crighton, David George
4 Davenport, Harold
4 Ffowcs Williams, John E.
4 Fox, E. N.
4 Hartree, Douglas Rayner
4 Jones, Douglas Samuel
4 Miller, Jeffrey Charles Percy
4 Soward, Andrew M.
4 Varley, Eric
4 Wright, Edward Maitland
3 Altmann, Simon L.
3 Benjamin, Thomas Brooke
3 Bishop, Richard Evelyn Donohue
3 Eason, George
3 Fröhlich, Albrecht
3 Goldsbrough, G. R.
3 Holmes, Philip J.
3 Howe, Michael S.
3 Reid, William H.
3 Robinson, C. L.
3 Rogers, Claude Ambrose
3 Stevenson, A. C.
3 Stoner, Edmund Clifton
3 Wall, Charles Terence Clegg
2 Amundson, Neal R.
2 Aris, Rutherford
2 Atiyah, Michael Francis
2 Baker, Alan
2 Baker, W. G.
2 Blythe, Philip A.
2 Booker, Henry George
2 Brenner, Howard
2 Broadbent, E. G.
2 Brown, Susan N.
2 Callender, A.
2 Cassels, John William Scott
2 Chandrasekhar, Subrahmanyan
2 Child, M. S.
2 Clemmow, P. C.
2 Cope, W.-F.
2 Cox, A. D.
2 Dalgarno, A.
2 Davies, T. V.
2 de Graaff Hunter, J.
2 Eltayeb, Ibrahim A.
2 Eshelby, John Douglas
2 Fundaminsky, A.
2 Gandy, R. W. G.
2 Gluckman, Michael J.
2 Hanson, E. T. A.
2 Heaps, N. S.
2 Herzenberg, A.
2 Hoskin, N. E.
2 Howland, R. C. J.
2 Jahn, H. A.
2 James, R. W.
2 Jeffreys, Harold
2 Joyce, G. S.
2 Knight, R. C.
2 Ledermann, Walter
2 Leichtberg, S.
2 Lewis, Donald-J.
2 Lines, Malcolm E.
2 Littlewood, Dudley Ernest
2 Liu, Joseph T. C.
2 Mahler, Kurt
2 Mankbadi, Reda R.
2 Martyn, D. F.
2 Massey, Harrie Stewart Wilson
2 McDougall, J.
2 McKenzie, James F.
2 Meyer, Richard Ernst
2 Morland, Leslie W.
2 Morley, L. S. D.
2 Neal, B. G.
2 Neyman, Jerzy
2 Pekeris, Chaim Leib
2 Pendse, C. G.
2 Penney, William George
2 Peregrine, D. Howell
2 Pfeffer, Robert
2 Phillips, Michael J.
2 Price, A. T.
2 Pritchard, W. G.
2 Proudman, Ian
2 Proudman, Joseph
2 Rado, Richard
...and 334 more Authors
all top 5

Fields

98 Fluid mechanics (76-XX)
38 Mechanics of deformable solids (74-XX)
21 Partial differential equations (35-XX)
17 Computer science (68-XX)
12 Quantum theory (81-XX)
10 Ordinary differential equations (34-XX)
10 Differential geometry (53-XX)
10 Geophysics (86-XX)
9 Numerical analysis (65-XX)
9 Mechanics of particles and systems (70-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Number theory (11-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Probability theory and stochastic processes (60-XX)
5 Algebraic geometry (14-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Nonassociative rings and algebras (17-XX)
4 Group theory and generalizations (20-XX)
4 Special functions (33-XX)
4 Relativity and gravitational theory (83-XX)
3 Mathematical logic and foundations (03-XX)
3 Combinatorics (05-XX)
3 Several complex variables and analytic spaces (32-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Topological groups, Lie groups (22-XX)
2 Functions of a complex variable (30-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Astronomy and astrophysics (85-XX)
1 Systems theory; control (93-XX)

Publications by Year

Citations contained in zbMATH Open

370 Publications have been cited 8,147 times in 7,517 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.
783
1972
The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014
Atiyah, Michael F.; Bott, Raoul
630
1983
The initial-value problem for the Korteweg-de Vries equation. Zbl 0306.35027
Bona, J. L.; Smith, R.
339
1975
A numerical and theoretical study of certain nonlinear wave phenomena. Zbl 0384.65049
Fornberg, B.; Whitham, G. B.
242
1978
Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Zbl 0513.73020
Ball, J. M.
233
1982
The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables. Zbl 0181.38003
Serrin, J.
232
1969
The force on an elastic singularity. Zbl 0043.44102
Eshelby, J. D.
209
1951
Large elastic deformations of isotropic materials. VII. Experiments on the deformation of rubber. Large elastic deformations of isotropic materials. VIII. Strain distribution around a hole in a sheet. Zbl 0042.42505
Rivlin, R. S.; Saunders, D. W.
150
1951
Sound generation by turbulence and surfaces in arbitrary motion. Zbl 0182.59205
Ffowcs Williams, J. E.; Hawkings, D. L.
134
1969
Large elastic deformations of isotropic materials. IV. Further developments of the general theory. Zbl 0031.42602
Rivlin, R. S.
132
1948
Studies on magneto-hydrodynamic waves and other anisotropic waves motions. Zbl 0097.20806
Lighthill, M. J.
120
1960
A nonlinear oscillator with a strange attractor. Zbl 0423.34049
Holmes, P.
116
1979
Mass transport in water waves. Zbl 0050.20304
Longuet-Higgins, M. S.
116
1953
Effective procedures in field theory. Zbl 0070.03502
Fröhlich, A.; Shepherdson, J. C.
108
1956
An evaluation of a model equation for water waves. Zbl 0497.76023
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
104
1981
An essay on free products of groups with amalgamations. Zbl 0057.01702
Neumann, B. H.
97
1954
The growth of crystals and the equilibrium structure of their surfaces. Zbl 0043.23402
Burton, W. K.; Cabrera, Nicolas; Frank, F. C.
93
1951
On the stability of three-dimensional boundary layers with application to the flow due to a rotating disk. Zbl 0064.43601
Gregory, N.; Stuart, J. T.; Walker, W. S.
88
1955
Large elastic deformations of isotropic materials. VI. Further results in the theory of torsion, shear and flexure. Zbl 0035.41503
Rivlin, R. S.
85
1949
Spectral theory for the differential equations of simple birth and death processes. Zbl 0059.11704
Ledermann, W.; Reuter, G. E. H.
82
1954
Integrable and solvable systems, and relations among them. Zbl 0579.35078
Ward, R. S.
77
1985
Large elastic deformations of isotropic materials. I. Fundamental concepts. II. Some uniqueness theorems for pure, homogeneous deformation. Zbl 0029.32605
Rivlin, R. S.
76
1948
The asymptotic solution of linear differential equations of the second order for large values of a parameter. The asymptotic expansion of Bessel functions of large order. The asymptotic solution of linear differential equations of the second order in domain containing one transition point. Zbl 0070.30801
Olver, F. W. J.
72
1956
Contributions to the theory of diophantine equations. I: On the representation of integers by binary forms. Zbl 0157.09702
Baker, A.
63
1968
On a differential equation of boundary-layer theory. Zbl 0093.19105
Coppel, W. A.
62
1960
On the thermal instability of a rotating-fluid sphere containing heat sources. Zbl 0207.26903
Roberts, P. H.
58
1968
On periodic water-waves and their convergence to solitary waves in the long-wave limit. Zbl 0482.76029
Amick, C. J.; Toland, J. F.
53
1981
The numerical solution of non-singular linear integral equations. Zbl 0050.12902
Fox, L.; Goodwin, E. T.
52
1953
Semi-classical mechanics in phase space: A study of Wigner’s function. Zbl 0421.70020
Berry, M. V.
51
1977
The statistical analysis of a random, moving surface. Zbl 0077.12707
Longuet-Higgins, M. S.
51
1957
Dispersion resulting from flow through spatially periodic porous media. Zbl 0442.76076
Brenner, H.
50
1980
Invariant theory, tensors and group characters. Zbl 0060.04402
Littlewood, D. E.
48
1944
Classes of extensions and resolutions. Zbl 0099.25902
Butler, M. C. R.; Horrocks, G.
45
1961
The motion of a vortex filament with axial flow. Zbl 0247.76015
Moore, D. W.; Saffman, P. G.
45
1972
Self-similar problems in elastodynamics. Zbl 0317.73062
Willis, J. R.
44
1973
On the product of three homogeneous linear forms and indefinite ternary quadratic forms. Zbl 0065.27905
Cassels, J. W. S.; Swinnerton-Dyer, H. P. F.
44
1955
The large-scale structure of homogeneous turbulence. Zbl 0074.42501
Batchelor, G. K.; Proudman, I.
44
1956
Constructive mathematics and computer programming. Zbl 0552.03040
Martin-Löf, P.
43
1984
Radiative gravitational fields in general relativity. I: General structure of the field outside the source. Zbl 0604.35073
Blanchet, L.; Damour, T.
41
1986
On certain integrals of Lipschitz-Hankel type involving products of Bessel functions. Zbl 0064.06503
Eason, G.; Noble, Ben; Sneddon, I. N.
39
1955
Periodic solutions near equilibria of symmetric Hamiltonian systems. Zbl 0671.58034
Montaldi, J. A.; Roberts, R. M.; Stewart, I. N.
39
1988
Steep gravity waves in water of arbitrary uniform depth. Zbl 0362.76035
Cokelet, E. D.
38
1977
Outline of a theory of statistical estimation based on the classical theory of probability. Zbl 0017.12403
Neyman, J.
38
1937
On the decay of a normally distributed and homogeneous turbulent velocity field. Zbl 0056.19901
Proudman, I.; Reid, W. H.
38
1954
Bifurcation on the hexagonal lattice and the planar Bénard problem. Zbl 0622.76052
Buzano, E.; Golubitsky, M.
37
1983
Asymptotic solutions of model equations in nonlinear acoustics. Zbl 0412.76054
Crighton, D. G.; Scott, J. F.
35
1979
Large elastic deformations of isotropic materials. X. Reinforcement by inextensible cords. Zbl 0066.18802
Adkins, J. E.; Rivlin, R. S.
35
1955
The asymptotic expansion of integral functions defined by Taylor series. Zbl 0023.14002
Wright, E. M.
34
1940
Large elastic deformations of isotropic materials. IX. The deformation of thin shells. Zbl 0048.18204
Adkins, J. E.; Rivlin, R. S.
34
1952
Bifurcations of one- and two-dimensional maps. Zbl 0556.58023
Holmes, P.; Whitley, D.
32
1984
On the generation of waves by wind. Zbl 0445.76013
Blennerhassett, P. J.
32
1980
A unified theory of conjugate flows. Zbl 0226.76037
Benjamin, T. B.
32
1971
Second-order linear differential equations with two turning points. Zbl 0301.34072
Olver, F. W. J.
31
1975
Limiting gravity waves in water of finite depth. Zbl 0465.76014
Williams, J. M.
31
1981
The Cauchy problem for elastic waves in an anisotropic medium. Zbl 0103.42502
Duff, G. F. D.
30
1960
Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integral methods. Zbl 0625.76043
Baldwin, P.
29
1987
Nonlinear stability analysis of stratified fluid equilibria. Zbl 0637.76119
Abarbanel, H. D. I.; Holm, D. D.; Marsden, J. E.; Ratiu, T. S.
29
1986
Uniform polyhedra. Zbl 0055.14204
Coxeter, H. S. M.; Longuet-Higgins, M. S.; Miller, J. C. P.
29
1954
Solitary-wave solutions of nonlinear problems. Zbl 0707.35131
Benjamin, T. B.; Bona, J. L.; Bose, D. K.
29
1990
Thermo-mechanics of rubberlike materials. Zbl 0287.73005
Chadwick, P.
28
1974
On the shape of progressive internal waves. Zbl 0182.29503
Thorpe, S. A.
28
1968
The instability of the thin vortex ring of constant vorticity. Zbl 0371.76022
Widnall, Sheila E.; Tsai, Chon-Yin
27
1977
The structure of free vertical shear layers in a rotating fluid and the motion produced by a slowly rising body. Zbl 0191.56301
Moore, D. W.; Saffman, P. G.
27
1969
Similarity and self-preservation in isotropic turbulence. Zbl 0043.40204
Stewart, R. W.; Townsend, A. A.
27
1951
On the representation of analytic functions by infinite series. Zbl 0050.07702
Newns, W. F.
27
1953
Numerical modelling of turbulent flow in a combustion tunnel. Zbl 0478.76066
Ghoniem, A. F.; Chorin, A. J.; Oppenheim, A. K.
27
1982
A mechanism of magnetic hysteresis in heterogeneous alloys. Zbl 0031.38003
Stoner, E. C.; Wohlfahrt, E. P.
26
1948
Integrable and chaotic motions of four vortices. II: Collision dynamics of vortex pairs. Zbl 0661.76019
Eckhardt, B.; Aref, H.
26
1988
On invariant theory under restricted groups. Zbl 0060.04403
Littlewood, D. E.
25
1944
Cubic forms in thirty-two variables. Zbl 0084.27202
Davenport, Harold
25
1959
Diophantine approximation in Fuchsian groups. Zbl 0338.10028
Patterson, S. J.
24
1976
Simultaneous equations of additive type. Zbl 0207.35304
Davenport, Harold; Lewis, D. J.
24
1969
On the theory of multicomponent chromatography. Zbl 0233.76157
Rhee, Hyun-Ku; Aris, R.; Amundson, N. R.
24
1970
The flow of cohesionless grains in fluids. Zbl 0072.20201
Bagnald, R. A.
24
1956
Brittle failure in compression: Splitting, faulting and brittle-ductile transition. Zbl 0634.73109
Horii, H.; Nemat-Nasser, S.
23
1986
A convection-driven dynamo. I: The weak field case. Zbl 0298.76064
Soward, A. M.
23
1974
Non-linear diffusion. I: Diffusion and flow of mixtures of fluids. II: Constitutive equations for mixtures of isotropic fluids. Zbl 0124.41801
Adkins, J. E.
23
1963
The swirling vortex. Zbl 0254.76029
Serrin, J.
23
1972
Nonlinear wave packets in the Kelvin-Helmholtz instability. Zbl 0403.76086
Weissman, M. A.
22
1979
A critical study of the Hipkinson pressure bar. Zbl 0029.23602
Davies, R. M.
22
1948
The generation of waves in an infinite elastic solid by variable body forces. Zbl 0070.19407
Eason, G.; Fulton, J.; Sneddon, I. N.
22
1956
Laminar boundary-layer flow near separation with and without suction. Zbl 0098.17303
Terrill, R. M.
21
1960
On the eigenvalue problem \(Tu-\lambda Su = 0\) with unbounded and nonsymmetric operators \(T\) and \(S\). Zbl 0152.33804
Petryshyn, W. V.
21
1968
Systematic sampling. Zbl 0030.40703
Yates, F.
21
1948
The Takens-Bogdanov bifurcation with O(2)-symmetry. Zbl 0635.58032
Dangelmayr, G.; Knobloch, E.
20
1987
Coupling coefficients and tensor operators for chains of groups. Zbl 0293.22033
Butler, P. H.
20
1975
The eigenfunctions of Laplace’s tidal equations over a sphere. Zbl 0207.27501
Longuet-Higgins, M. S.
20
1968
The complete enumeration of extreme senary forms. Zbl 0077.26601
Barnes, E. S.
20
1957
Inverse problem for the vibrating beam in the free-clamped configuration. Zbl 0475.73054
Barcilon, V.
20
1982
Infinite-dimensional Lie groups and algebraic geometry in soliton theory. Zbl 0582.35103
Wilson, G.
20
1985
Discrete symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies. Zbl 0394.34039
Verhulst, F.
19
1979
A theory of the origin of microseisms. Zbl 0041.14003
Longuet-Higgins, M. S.
19
1950
Acoustic destabilization of vortices. Zbl 0402.76069
Broadbent, E. G.; Moore, D. W.
18
1979
On dual approximation principles and optimization in continuum mechanics. Zbl 0291.73003
Sewell, M. J.
18
1969
The noise from turbulence convected at high speed. Zbl 0119.20604
Ffowcs-Williams, J. E.
18
1963
The computation of Fermi-Dirac functions. Zbl 0018.16201
McDougall, J.; Stoner, Edmund C.
18
1938
On the approximation of logarithms of algebraic numbers. Zbl 0052.04404
Mahler, K.
18
1953
Homogeneous dynamos and terrestrial magnetism. Zbl 0058.45703
Bullard, Sir Edward; Gellman, H.
18
1954
Forced vibrations of a rigid circular plate on a semi-infinite elastic space and on an elastic stratum. Zbl 0073.19401
Bycroft, G. N.
18
1956
Nonlinear stability of axisymmetric swirling flows. Zbl 0658.76044
Szeri, A.; Holmes, P.
18
1988
Solitary-wave solutions of nonlinear problems. Zbl 0707.35131
Benjamin, T. B.; Bona, J. L.; Bose, D. K.
29
1990
Large magnetic Reynolds number dynamo action in a spatially periodic flow with mean motion. Zbl 0702.76125
Soward, A. M.; Childress, S.
7
1990
Flow past a circular cylinder in a rotating stratified fluid. Zbl 0701.76114
Davies, P. A.; Davis, R. G.; Foster, M. R.
2
1990
A spectral solution of the Boltzmann equation for the infinitely strong shock. Zbl 0850.76616
Narasimha, R.; Das, P.
1
1990
Electromagnetic plane waves in anisotropic media: An approach using bivectors. Zbl 0702.73054
Boulanger, Ph.; Hayes, M.
1
1990
Strings at superplanckian energies: In search of the string symmetry. Zbl 0692.53052
Gross, D. J.
9
1989
Analysis of large-strain shear in rate-dependent face-centred cubic polycrystals: Correlation of micro- and macromechanics. Zbl 0729.73066
Harren, S.; Lowe, T. C.; Asaro, R. J.; Needleman, A.
8
1989
The search for higher symmetry in string theory. Zbl 0692.53048
Witten, E.
8
1989
A thermodynamical theory of turbulence. I: Basic developments. Zbl 0688.76043
Marshall, J. S.; Naghdi, P. M.
7
1989
A thermodynamical theory of turbulence. II: Determination of constitutive coefficients and illustrative examples. Zbl 0688.76044
Marshall, J. S.; Naghdi, P. M.
4
1989
Quantum groups and conformal field theories. Zbl 0692.53047
Alvarez-Gaumé, L.
1
1989
The search for a realistic superstring vacuum. Zbl 0692.53049
Schwarz, J. H.
1
1989
Third quantization. Zbl 0692.53051
Strominger, A.
1
1989
Periodic solutions near equilibria of symmetric Hamiltonian systems. Zbl 0671.58034
Montaldi, J. A.; Roberts, R. M.; Stewart, I. N.
39
1988
Integrable and chaotic motions of four vortices. II: Collision dynamics of vortex pairs. Zbl 0661.76019
Eckhardt, B.; Aref, H.
26
1988
Nonlinear stability of axisymmetric swirling flows. Zbl 0658.76044
Szeri, A.; Holmes, P.
18
1988
Theory of laminated elastic plates. I: Isotropic laminae. Zbl 0638.73029
Kaprielian, P. V.; Rogers, T. G.; Spencer, A. J. M.
16
1988
On the hard-hexagon model and the theory of modular functions. Zbl 0654.10026
Joyce, G. S.
10
1988
Viscous centre modes in the stability of swirling Poiseuille flow. Zbl 0673.76114
Stewartson, K.; Ng, T. W.; Brown, Susan N.
8
1988
Global scientific and engineering simulations on scalar, vector and parallel LCAP-type supercomputers. Zbl 0649.76003
Clementi, E.
1
1988
The physical structure of concurrent problems and concurrent computers. Zbl 0655.68009
Fox, G. C.; Furmanski, W.
1
1988
Optimally universal parallel computers. Zbl 0655.68054
Valiant, L. G.
1
1988
Computational models for parallel computers. Zbl 0655.68057
Kung, H. T.
1
1988
Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integral methods. Zbl 0625.76043
Baldwin, P.
29
1987
The Takens-Bogdanov bifurcation with O(2)-symmetry. Zbl 0635.58032
Dangelmayr, G.; Knobloch, E.
20
1987
Nonlinear wave motion governed by the modified Burgers equation. Zbl 0643.35091
Lee-Bapty, I. P.; Crighton, D. G.
16
1987
Why probabilistic support is not inductive. Zbl 0637.03003
Popper, K.; Miller, D. W.
6
1987
Functions on quotient singularities. Zbl 0642.14001
Wall, C. T. C.
2
1987
Further developments in a nonlinear theory of water waves for finite and infinite depths. Zbl 0639.76014
Green, A. E.; Naghdi, P. M.
1
1987
Radiative gravitational fields in general relativity. I: General structure of the field outside the source. Zbl 0604.35073
Blanchet, L.; Damour, T.
41
1986
Nonlinear stability analysis of stratified fluid equilibria. Zbl 0637.76119
Abarbanel, H. D. I.; Holm, D. D.; Marsden, J. E.; Ratiu, T. S.
29
1986
Brittle failure in compression: Splitting, faulting and brittle-ductile transition. Zbl 0634.73109
Horii, H.; Nemat-Nasser, S.
23
1986
Geometrical and diffusive effects in nonlinear acoustic propagation over long ranges. Zbl 0617.76092
Nimmo, J. J. C.; Crighton, D. G.
8
1986
A general linear hydroelasticity theory of floating structures moving in a seaway. Zbl 0594.73057
Bishop, R. E. D.; Price, W. G.; Wu, Yousheng
3
1986
A nonlinear theory of water waves for finite and infinite depths. Zbl 0606.76019
Green, A. E.; Naghdi, P. M.
2
1986
Integrable and solvable systems, and relations among them. Zbl 0579.35078
Ward, R. S.
77
1985
Infinite-dimensional Lie groups and algebraic geometry in soliton theory. Zbl 0582.35103
Wilson, G.
20
1985
Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035
Atiyah, Michael; Hitchin, Nigel J.
12
1985
A survey of the origins and physical importance of soliton equations. Zbl 0579.35076
Gibbon, J. D.
7
1985
Algebraic geometrical methods in Hamiltonian mechanics. Zbl 0576.70015
van Moerbeke, P.
5
1985
The geometry of the Hill equation and of the Neumann system. Zbl 0582.35105
Ercolani, N. M.; Flaschka, H.
5
1985
Soliton generation and nonlinear wave propagation. Zbl 0579.76018
Keller, J. B.
4
1985
Topographic waves in a stratified elliptical basin, with application to the lake of Lugano. Zbl 0594.76104
Mysak, L. A.; Salvadè, G.; Hutter, K.; Scheiwiller, T.
1
1985
Electromagnetic effects in the theory of rods. Zbl 0568.73108
Green, A. E.; Naghdi, P. M.
1
1985
Constructive mathematics and computer programming. Zbl 0552.03040
Martin-Löf, P.
43
1984
Bifurcations of one- and two-dimensional maps. Zbl 0556.58023
Holmes, P.; Whitley, D.
32
1984
Multiple buoyancy-driven flows in a vertical cylinder heated from below. Zbl 0573.76079
Yamaguchi, Y.; Chang, C. J.; Brown, R. A.
15
1984
Sound generated aerodynamically revisited: Large-scale structures in a turbulent jet as a source of sound. Zbl 0589.76071
Mankbadi, R.; Liu, J. T. C.
13
1984
Statistical properties of wave groups in a random sea state. Zbl 0557.76041
Longuet-Higgins, M. S.
7
1984
The modes, resonances and forced response of elastic structures under heavy fluid loading. Zbl 0557.73043
Crighton, D. G.; Innes, D.
6
1984
Nonlinear effects on shoaling surface gravity waves. Zbl 0574.76012
Freilich, M. H.; Guza, R. T.
6
1984
Deductive learning. Zbl 0544.68057
Valiant, L. G.
6
1984
Axisymmetric antidynamo theorems in compressible non-uniform conducting fluids. Zbl 0553.76094
Ivers, D. J.; James, R. W.
5
1984
Invariance and non-determinacy. Zbl 0544.68011
Dijkstra, E. W.
4
1984
Mechanical proofs about computer programs. Zbl 0544.68012
Good, D. I.
4
1984
The use of machines to assist in rigorous proof. Zbl 0572.68078
Milner, R.
3
1984
The relation between logic programming and logic specification. Zbl 0549.68018
Kowalski, R.
3
1984
The characterization problem for Hoare logics. With discussion by P. Aczel, J. V. Tucker and J. C. Shepherdson. Zbl 0598.68035
Clarke, E. M. jun.
2
1984
Programs are predicates. Zbl 0558.68004
Hoare, C. A. R.
2
1984
Functional programs as executable specifications. Zbl 0544.68003
Turner, D. A.
1
1984
First- and second-order analysis of axially loaded crystals in n-fold symmetry. Zbl 0545.73025
Havner, K. S.
1
1984
The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014
Atiyah, Michael F.; Bott, Raoul
630
1983
Bifurcation on the hexagonal lattice and the planar Bénard problem. Zbl 0622.76052
Buzano, E.; Golubitsky, M.
37
1983
On electromagnetic effects in the theory of shells and plates. Zbl 0536.73091
Green, A. E.; Naghdi, P. M.
11
1983
Some topics in continuum theory of nematics. Zbl 0512.76005
Leslie, F. M.
3
1983
Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Zbl 0513.73020
Ball, J. M.
233
1982
Numerical modelling of turbulent flow in a combustion tunnel. Zbl 0478.76066
Ghoniem, A. F.; Chorin, A. J.; Oppenheim, A. K.
27
1982
Inverse problem for the vibrating beam in the free-clamped configuration. Zbl 0475.73054
Barcilon, V.
20
1982
Dispersion resulting from flow through spatially periodic porous media. II: Surface and intraparticle transport. Zbl 0505.76107
Brenner, H.; Adler, P. M.
17
1982
Elastic wave scattering by a circular crack. Zbl 0523.73018
Krenk, S.; Schmidt, H.
14
1982
The dependence of the shape and stability of captive rotating drops on multiple parameters. Zbl 0495.76091
Ungar, L. H.; Brown, R. A.
10
1982
Two-dimensional discrete properties of random surfaces. Zbl 0498.60059
Whitehouse, D. J.; Phillips, M. J.
10
1982
Magic squares of order four. Zbl 0492.05022
Ollerenshaw, Kathleen; Bondi, Hermann
5
1982
The Rayleigh model: Singular transport theory in one dimension. Zbl 0494.45016
Hoare, M. R.; Raval, S.; Rahman, Mizan
1
1982
Complete conics of \(S_ 2\) and their model variety \(\Omega_ 5\!^{102}[27]\). Zbl 0535.14018
Semple, J. G.
1
1982
An evaluation of a model equation for water waves. Zbl 0497.76023
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
104
1981
On periodic water-waves and their convergence to solitary waves in the long-wave limit. Zbl 0482.76029
Amick, C. J.; Toland, J. F.
53
1981
Limiting gravity waves in water of finite depth. Zbl 0465.76014
Williams, J. M.
31
1981
A theoretical treatment of the sliding of glaciers in the absence of cavitation. Zbl 0477.76007
Fowler, A. C.
11
1981
A study of the interactions between large-scale coherent structures and fine-grained turbulence in a round jet. Zbl 0464.76045
Mankbadi, R.; Liu, J. T. C.
7
1981
Dynamical aspects of shallow sea fronts. Zbl 0495.76023
Garrett, C. J. R.; Loder, J. W.
6
1981
An algorithm for the nonlinear analysis of compound bifurcation. Zbl 0458.73029
Hunt, G. W.
6
1981
The scattering by a headland of the dominant continental shelf wave. Zbl 0473.76024
Davis, A. M. J.
4
1981
Theory of massive particles. I: Algebraic structure. Zbl 0463.70015
Sparling, G. A. J.
3
1981
A non-Gaussian model for random surfaces. Zbl 0475.60023
Adler, R. J.; Firman, D.
3
1981
Affine cubic functions. IV: Functions on \(C^ 3,\) nonsingular at infinity. Zbl 0462.14008
Wall, C. T. C.
1
1981
On the theory of unsteady shearing flow over a slot. Zbl 0472.76059
Howe, M. S.
1
1981
Dispersion resulting from flow through spatially periodic porous media. Zbl 0442.76076
Brenner, H.
50
1980
On the generation of waves by wind. Zbl 0445.76013
Blennerhassett, P. J.
32
1980
Nuisance parameters, mixture models, and the efficiency of partial likelihood estimators. Zbl 0434.62028
Lindsay, B. G.
17
1980
The shapes and stability of captive rotating drops. Zbl 0438.76040
Brown, R. A.; Scriven, L. E.
12
1980
The nonlinear stability of a free shear layer in the viscous critical layer regime. Zbl 0464.76031
Huerre, P.
9
1980
The arithmetic theory of local Galois Gauss sums for tame characters. Zbl 0436.12014
Fröhlich, A.; Taylor, M. J.
4
1980
The asymptotic expansion of solutions of the differential equation \(u^{iv}+\lambda^2[(z^2+c)''+azu'+bu]=0\) for large \(| z|\). Zbl 0431.34040
Paris, R. B.; Wood, A. D.
3
1980
Buoyancy effects upon longitudinal dispersion in wide well-mixed estuaries. Zbl 0465.76011
Smith, R.
1
1980
A nonlinear oscillator with a strange attractor. Zbl 0423.34049
Holmes, P.
116
1979
Asymptotic solutions of model equations in nonlinear acoustics. Zbl 0412.76054
Crighton, D. G.; Scott, J. F.
35
1979
Nonlinear wave packets in the Kelvin-Helmholtz instability. Zbl 0403.76086
Weissman, M. A.
22
1979
Discrete symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies. Zbl 0394.34039
Verhulst, F.
19
1979
Acoustic destabilization of vortices. Zbl 0402.76069
Broadbent, E. G.; Moore, D. W.
18
1979
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Cited by 9,233 Authors

39 Bona, Jerry Lloyd
28 Horgan, Cornelius Oliver
25 Biswas, Indranil
21 Smyth, Noel Frederick
19 Goriely, Alain
19 Liu, Yue
18 Grimshaw, Roger Hamilton James
18 Saut, Jean-Claude
18 Sivaloganathan, Jeyabal
17 Marsden, Jerrold Eldon
17 Rădulescu, Vicenţiu D.
16 Murphy, Jeremiah G.
15 Dutykh, Denys
15 Ponce, Gustavo
15 Rajagopal, Kumbakonam Ramamani
15 Theriault, Stephen D.
15 Wazwaz, Abdul-Majid Abdul-Rahman
15 Yin, Zhaoyang
14 Kalisch, Henrik
14 Lar’kin, Nikolaj Andreevich
14 Le Dizès, Stéphane
14 Mu, Chunlai
14 Saccomandi, Giuseppe
13 Bazhenov, Nikolaĭ Alekseevich
13 García-Prada, Oscar
13 Omrani, Khaled
13 Steinmann, Paul
13 Wineman, Alan S.
13 Zhang, Bingyu
12 Amick, Charles J.
12 Duran, Angel
12 Lai, Shaoyong
12 Linares, Felipe
12 Mammeri, Youcef
12 Reddy, Junuthula Narasimha
12 Sooppy Nisar, Kottakkaran
12 Soward, Andrew M.
12 Spector, Scott J.
12 Turkyilmazoglu, Mustafa
11 Cheng, Changjun
11 Constantin, Adrian
11 Downey, Rodney Graham
11 Henao, Duvan A.
11 Himonas, A. Alexandrou
11 Holm, Darryl Dallas
11 Liu, Zhengrong
11 López Camino, Rafael
11 Minzoni, Antonmaria Alessio
11 Omari, Pierpaolo
11 Sengupta, Ambar N.
11 Surana, Karan S.
11 Tian, Lixin
10 Cavalieri, André V. G.
10 Erbay, Saadet
10 Erkip, Albert Kohen
10 Gao, Hongjun
10 Guo, Boling
10 Lee, Jenchi
10 Maugin, Gérard A.
10 Pence, Thomas J.
10 Popov, Alexander D.
9 Agarwal, Ravi P.
9 Antman, Stuart S.
9 Ball, John MacLeod
9 Baumslag, Gilbert
9 Chen, Robin Ming
9 Colonius, Tim
9 Dağ, İdris
9 Destrade, Michel
9 Dougalis, Vassilios A.
9 Erbay, Husnuata A.
9 Fried, Eliot
9 Jeffrey, Lisa Claire
9 Jordan, Peter
9 Karakashian, Ohannes A.
9 Kenig, Carlos Eduardo
9 Kishimoto, Daisuke
9 Knapp, Michael P.
9 Kono, Akira
9 Lieberman, Gary M.
9 Lopez-Pamies, Oscar
9 Melnikov, Alexander G.
9 Miller, Russell G.
9 Mitsotakis, Dimitrios E.
9 Onninen, Jani
9 Ortiz, Michael
9 Repovš, Dušan D.
9 Roberts, Paul H.
9 Selvadurai, A. Patrick S.
9 Stewart, Ian Nicholas
9 Tarantino, Angelo Marcello
9 Wentworth, Richard A.
9 Willis, John Raymond
9 Wong, Patricia J. Y.
9 Yamazaki, Kazuo
8 Blanchet, Luc
8 Busse, Friedrich Hermann
8 Clarkson, Peter A.
8 Engelbrecht, Jüri
8 Garrett, Stephen J.
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Cited in 728 Journals

341 Journal of Fluid Mechanics
183 Journal of Mathematical Physics
164 Physics of Fluids
150 Archive for Rational Mechanics and Analysis
137 Wave Motion
137 Physica D
136 Journal of the Mechanics and Physics of Solids
134 Journal of Differential Equations
120 Journal of Elasticity
119 Acta Mechanica
119 Journal of Mathematical Analysis and Applications
110 Communications in Mathematical Physics
110 Applied Mathematics and Computation
106 Journal of Computational Physics
96 Transactions of the American Mathematical Society
85 ZAMP. Zeitschrift für angewandte Mathematik und Physik
80 Computer Methods in Applied Mechanics and Engineering
77 Geophysical and Astrophysical Fluid Dynamics
76 Journal of Engineering Mathematics
76 Mathematics and Mechanics of Solids
68 Journal of Computational and Applied Mathematics
67 International Journal of Engineering Science
67 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
66 Advances in Mathematics
61 Studies in Applied Mathematics
56 Computers and Fluids
54 Computers & Mathematics with Applications
54 European Journal of Mechanics. B. Fluids
53 European Journal of Mechanics. A. Solids
51 Mathematische Annalen
50 Chaos, Solitons and Fractals
49 Journal of Geometry and Physics
46 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
45 Mathematische Zeitschrift
44 Journal of Number Theory
42 Proceedings of the American Mathematical Society
41 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
40 Mathematical Proceedings of the Cambridge Philosophical Society
40 Journal of Algebra
40 Computational Mechanics
39 Fluid Dynamics
39 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
38 Applied Mathematical Modelling
38 Communications in Nonlinear Science and Numerical Simulation
37 Physics of Fluids, A
37 Nonlinear Analysis. Theory, Methods & Applications
37 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
36 Duke Mathematical Journal
36 Physical Review, II. Series
35 Applicable Analysis
35 Journal of Functional Analysis
35 Applied Mathematics and Mechanics. (English Edition)
33 Journal of Soviet Mathematics
31 Mathematika
31 Theoretical Computer Science
31 Applied Mathematics Letters
31 Communications in Partial Differential Equations
31 Chaos
30 Bulletin of the Australian Mathematical Society
30 Inventiones Mathematicae
30 Meccanica
30 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
29 Numerische Mathematik
29 Applied Numerical Mathematics
29 Continuum Mechanics and Thermodynamics
29 Journal of High Energy Physics
28 Mathematics of Computation
28 Discrete and Continuous Dynamical Systems
27 Journal of Statistical Physics
27 Nonlinear Analysis. Real World Applications
26 International Journal of Solids and Structures
26 Mathematical Problems in Engineering
24 Theoretical and Computational Fluid Dynamics
24 International Journal for Numerical Methods in Engineering
24 Journal of Scientific Computing
24 International Journal of Mathematics
24 SIAM Journal on Mathematical Analysis
24 Journal of Nonlinear Science
24 Journal of the Australian Mathematical Society
22 Nuclear Physics. B
22 Theoretical and Mathematical Physics
21 Journal of Applied Mathematics and Mechanics
21 Archive of Applied Mechanics
21 Calculus of Variations and Partial Differential Equations
20 Mathematical Methods in the Applied Sciences
20 Annali di Matematica Pura ed Applicata. Serie Quarta
20 Mathematics and Computers in Simulation
20 Abstract and Applied Analysis
19 Manuscripta Mathematica
19 Annals of Pure and Applied Logic
19 Linear Algebra and its Applications
19 Journal of Mathematical Fluid Mechanics
19 International Journal of Fracture
19 Boundary Value Problems
18 Physics of Fluids
18 Geometriae Dedicata
18 Monatshefte für Mathematik
18 Topology and its Applications
17 Acta Applicandae Mathematicae
17 International Journal of Computer Mathematics
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Cited in 62 Fields

2,012 Fluid mechanics (76-XX)
1,993 Partial differential equations (35-XX)
1,384 Mechanics of deformable solids (74-XX)
660 Numerical analysis (65-XX)
501 Dynamical systems and ergodic theory (37-XX)
459 Differential geometry (53-XX)
370 Quantum theory (81-XX)
311 Global analysis, analysis on manifolds (58-XX)
303 Ordinary differential equations (34-XX)
279 Algebraic geometry (14-XX)
274 Number theory (11-XX)
219 Geophysics (86-XX)
204 Group theory and generalizations (20-XX)
180 Mechanics of particles and systems (70-XX)
179 Statistical mechanics, structure of matter (82-XX)
171 Probability theory and stochastic processes (60-XX)
168 Calculus of variations and optimal control; optimization (49-XX)
140 Mathematical logic and foundations (03-XX)
140 Manifolds and cell complexes (57-XX)
119 Several complex variables and analytic spaces (32-XX)
119 Computer science (68-XX)
118 Special functions (33-XX)
114 Relativity and gravitational theory (83-XX)
111 Classical thermodynamics, heat transfer (80-XX)
108 Statistics (62-XX)
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100 Operator theory (47-XX)
87 Biology and other natural sciences (92-XX)
82 Optics, electromagnetic theory (78-XX)
81 Combinatorics (05-XX)
77 Integral equations (45-XX)
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63 Functional analysis (46-XX)
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61 Systems theory; control (93-XX)
59 Approximations and expansions (41-XX)
59 Astronomy and astrophysics (85-XX)
54 Nonassociative rings and algebras (17-XX)
52 History and biography (01-XX)
49 Associative rings and algebras (16-XX)
48 Operations research, mathematical programming (90-XX)
47 Category theory; homological algebra (18-XX)
43 Linear and multilinear algebra; matrix theory (15-XX)
42 Convex and discrete geometry (52-XX)
36 Harmonic analysis on Euclidean spaces (42-XX)
34 Geometry (51-XX)
32 General topology (54-XX)
31 Integral transforms, operational calculus (44-XX)
30 Commutative algebra (13-XX)
27 Field theory and polynomials (12-XX)
22 Measure and integration (28-XX)
19 Information and communication theory, circuits (94-XX)
17 Potential theory (31-XX)
16 Difference and functional equations (39-XX)
15 General algebraic systems (08-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 General and overarching topics; collections (00-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
6 \(K\)-theory (19-XX)
3 Sequences, series, summability (40-XX)
3 Abstract harmonic analysis (43-XX)

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