Philosophical Transactions of the Royal Society of London. Ser. AMathematical 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: Journal; No longer indexed; Journal abbreviations vary in sources Documents Indexed: 466 Publications (1934–1990) all top 5 Latest Issues 331, No. 1621 (1990) 331, No. 1618 (1990) 331, No. 1617 (1990) 330, No. 1614 (1990) 330, No. 1611 (1990) 329, No. 1605 (1989) 328, No. 1600 (1989) 327, No. 1595 (1989) 326, No. 1593 (1988) 326, No. 1591 (1988) 326, No. 1590 (1988) 325, No. 1588 (1988) 325, No. 1584 (1988) 324, No. 1582 (1988) 324, No. 1580 (1988) 324 (1987) 323 (1987) 322 (1987) 321 (1987) 320 (1986) 319 (1986) 318 (1986) 316 (1985/1986) 315 (1985) 314 (1985) 312 (1984) 311 (1984) 309 (1983) 308 (1982/1983) 307 (1982) 306 (1982) 305 (1982) 304 (1982) 303 (1981) 302 (1981) 301 (1981) 300 (1981) 299 (1981) 298 (1980/1981) 297 (1980) 296 (1980) 293 (1980) 292 (1979) 291 (1979) 290 (1978/1979) 289 (1978) 288 (1978) 287 (1977) 286 (1977) 285 (1977) 284 (1977) 283 (1976) 282 (1976) 281 (1976) 280 (1975/1976) 279 (1975) 278 (1975) 277 (1974/1975) 276 (1974) 275 (1973/1974) 274 (1973) 273 (1972/1973) 272 (1972) 271 (1971/1972) 269 (1971) 268 (1970) 267 (1970) 266 (1970) 265 (1969) 264 (1969) 263 (1968/1969) 262 (1967/1968) 261 (1966/1967) 260 (1966) 259 (1966) 258 (1965) 257 (1965) 256 (1963/1964) 255 (1963) 254 (1963) 255 (1962) 254 (1961/1962) 253 (1960/1961) 252 (1959/1960) 251 (1959) 250 (1957/1958) 249 (1956/1957) 248 (1955/1956) 247 (1954/1955) 246 (1953/1954) 245 (1952/1953) 244 (1951/1952) 243 (1950/1951) 242 (1949/1950) 241 (1948/1949) 240 (1946-1948) 239 (1941-1945) 238 (1939/1940) 237 (1939) 287 (1938) ...and 4 more Volumes 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, George Ridsdale 3 Holmes, Philip J. 3 Howe, Michael S. 3 Reid, William H. 3 Robinson, C. L. 3 Rogers, Claude Ambrose 3 Smith, Ronald 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 North 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 ...and 338 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 371 Publications have been cited 9,069 times in 8,268 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 Yang-Mills equations over Riemann surfaces. Zbl 0509.14014 Atiyah, Michael F.; Bott, Raoul 716 1983 The initial-value problem for the Korteweg-de Vries equation. Zbl 0306.35027 Bona, J. L.; Smith, R. 377 1975 A numerical and theoretical study of certain nonlinear wave phenomena. Zbl 0384.65049 Fornberg, B.; Whitham, G. B. 280 1978 The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables. Zbl 0181.38003 Serrin, J. 246 1969 Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Zbl 0513.73020 Ball, J. M. 242 1982 The force on an elastic singularity. Zbl 0043.44102 Eshelby, J. D. 225 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. 169 1951 Large elastic deformations of isotropic materials. IV. Further developments of the general theory. Zbl 0031.42602 Rivlin, R. S. 163 1948 Sound generation by turbulence and surfaces in arbitrary motion. Zbl 0182.59205 Ffowcs Williams, J. E.; Hawkings, D. L. 146 1969 Studies on magneto-hydrodynamic waves and other anisotropic waves motions. Zbl 0097.20806 Lighthill, M. J. 145 1960 Mass transport in water waves. Zbl 0050.20304 Longuet-Higgins, M. S. 127 1953 A nonlinear oscillator with a strange attractor. Zbl 0423.34049 Holmes, P. 122 1979 Effective procedures in field theory. Zbl 0070.03502 Fröhlich, A.; Shepherdson, J. C. 120 1956 An evaluation of a model equation for water waves. Zbl 0497.76023 Bona, J. L.; Pritchard, W. G.; Scott, L. R. 113 1981 The growth of crystals and the equilibrium structure of their surfaces. Zbl 0043.23402 Burton, W. K.; Cabrera, Nicolas; Frank, F. C. 107 1951 An essay on free products of groups with amalgamations. Zbl 0057.01702 Neumann, B. H. 99 1954 Large elastic deformations of isotropic materials. VI. Further results in the theory of torsion, shear and flexure. Zbl 0035.41503 Rivlin, R. S. 96 1949 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. 92 1955 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. 92 1956 Large elastic deformations of isotropic materials. I. Fundamental concepts. II. Some uniqueness theorems for pure, homogeneous deformation. Zbl 0029.32605 Rivlin, R. S. 92 1948 Integrable and solvable systems, and relations among them. Zbl 0579.35078 Ward, R. S. 87 1985 Spectral theory for the differential equations of simple birth and death processes. Zbl 0059.11704 Ledermann, W.; Reuter, G. E. H. 84 1954 Semi-classical mechanics in phase space: A study of Wigner’s function. Zbl 0421.70020 Berry, M. V. 72 1977 Contributions to the theory of diophantine equations. I: On the representation of integers by binary forms. Zbl 0157.09702 Baker, A. 69 1968 On the thermal instability of a rotating-fluid sphere containing heat sources. Zbl 0207.26903 Roberts, P. H. 65 1968 On a differential equation of boundary-layer theory. Zbl 0093.19105 Coppel, W. A. 63 1960 On periodic water-waves and their convergence to solitary waves in the long-wave limit. Zbl 0482.76029 Amick, C. J.; Toland, J. F. 59 1981 The statistical analysis of a random, moving surface. Zbl 0077.12707 Longuet-Higgins, M. S. 58 1957 Radiative gravitational fields in general relativity. I: General structure of the field outside the source. Zbl 0604.35073 Blanchet, L.; Damour, T. 58 1986 The numerical solution of non-singular linear integral equations. Zbl 0050.12902 Fox, L.; Goodwin, E. T. 56 1953 Dispersion resulting from flow through spatially periodic porous media. Zbl 0442.76076 Brenner, H. 55 1980 Invariant theory, tensors and group characters. Zbl 0060.04402 Littlewood, D. E. 50 1944 Classes of extensions and resolutions. Zbl 0099.25902 Butler, M. C. R.; Horrocks, G. 48 1961 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. 47 1955 The motion of a vortex filament with axial flow. Zbl 0247.76015 Moore, D. W.; Saffman, P. G. 47 1972 The large-scale structure of homogeneous turbulence. Zbl 0074.42501 Batchelor, G. K.; Proudman, I. 46 1956 Outline of a theory of statistical estimation based on the classical theory of probability. Zbl 0017.12403 Neyman, J. 45 1937 Self-similar problems in elastodynamics. Zbl 0317.73062 Willis, J. R. 45 1973 Constructive mathematics and computer programming. Zbl 0552.03040 Martin-Löf, P. 44 1984 Asymptotic solutions of model equations in nonlinear acoustics. Zbl 0412.76054 Crighton, D. G.; Scott, J. F. 42 1979 Periodic solutions near equilibria of symmetric Hamiltonian systems. Zbl 0671.58034 Montaldi, J. A.; Roberts, R. M.; Stewart, I. N. 41 1988 The asymptotic expansion of integral functions defined by Taylor series. Zbl 0023.14002 Wright, E. M. 40 1940 Steep gravity waves in water of arbitrary uniform depth. Zbl 0362.76035 Cokelet, E. D. 40 1977 On certain integrals of Lipschitz-Hankel type involving products of Bessel functions. Zbl 0064.06503 Eason, G.; Noble, Ben; Sneddon, I. N. 39 1955 On the decay of a normally distributed and homogeneous turbulent velocity field. Zbl 0056.19901 Proudman, I.; Reid, W. H. 39 1954 Large elastic deformations of isotropic materials. X. Reinforcement by inextensible cords. Zbl 0066.18802 Adkins, J. E.; Rivlin, R. S. 38 1955 Large elastic deformations of isotropic materials. IX. The deformation of thin shells. Zbl 0048.18204 Adkins, J. E.; Rivlin, R. S. 38 1952 Bifurcation on the hexagonal lattice and the planar Bénard problem. Zbl 0622.76052 Buzano, E.; Golubitsky, M. 37 1983 Second-order linear differential equations with two turning points. Zbl 0301.34072 Olver, F. W. J. 35 1975 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. 34 1963 A unified theory of conjugate flows. Zbl 0226.76037 Benjamin, T. B. 34 1971 On the generation of waves by wind. Zbl 0445.76013 Blennerhassett, P. J. 34 1980 Limiting gravity waves in water of finite depth. Zbl 0465.76014 Williams, J. M. 33 1981 Bifurcations of one- and two-dimensional maps. Zbl 0556.58023 Holmes, P.; Whitley, D. 32 1984 Uniform polyhedra. Zbl 0055.14204 Coxeter, H. S. M.; Longuet-Higgins, M. S.; Miller, J. C. P. 31 1954 Thermo-mechanics of rubberlike materials. Zbl 0287.73005 Chadwick, P. 31 1974 Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integral methods. Zbl 0625.76043 Baldwin, P. 30 1987 Nonlinear stability analysis of stratified fluid equilibria. Zbl 0637.76119 Abarbanel, H. D. I.; Holm, D. D.; Marsden, J. E.; Ratiu, T. S. 30 1986 Cubic forms in thirty-two variables. Zbl 0084.27202 Davenport, Harold 30 1959 The Cauchy problem for elastic waves in an anisotropic medium. Zbl 0103.42502 Duff, G. F. D. 30 1960 On the shape of progressive internal waves. Zbl 0182.29503 Thorpe, S. A. 30 1968 Solitary-wave solutions of nonlinear problems. Zbl 0707.35131 Benjamin, T. B.; Bona, J. L.; Bose, D. K. 30 1990 On the representation of analytic functions by infinite series. Zbl 0050.07702 Newns, W. F. 30 1953 On invariant theory under restricted groups. Zbl 0060.04403 Littlewood, D. E. 29 1944 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. 29 1969 Similarity and self-preservation in isotropic turbulence. Zbl 0043.40204 Stewart, R. W.; Townsend, A. A. 29 1951 Integrable and chaotic motions of four vortices. II: Collision dynamics of vortex pairs. Zbl 0661.76019 Eckhardt, B.; Aref, H. 28 1988 Numerical modelling of turbulent flow in a combustion tunnel. Zbl 0478.76066 Ghoniem, A. F.; Chorin, A. J.; Oppenheim, A. K. 28 1982 Diophantine approximation in Fuchsian groups. Zbl 0338.10028 Patterson, S. J. 28 1976 Homogeneous dynamos and terrestrial magnetism. Zbl 0058.45703 Bullard, Sir Edward; Gellman, H. 28 1954 A critical study of the Hipkinson pressure bar. Zbl 0029.23602 Davies, R. M. 28 1948 A convection-driven dynamo. I: The weak field case. Zbl 0298.76064 Soward, A. M. 28 1974 The instability of the thin vortex ring of constant vorticity. Zbl 0371.76022 Widnall, Sheila E.; Tsai, Chon-Yin 28 1977 A mechanism of magnetic hysteresis in heterogeneous alloys. Zbl 0031.38003 Stoner, E. C.; Wohlfahrt, E. P. 26 1948 Brittle failure in compression: Splitting, faulting and brittle-ductile transition. Zbl 0634.73109 Horii, H.; Nemat-Nasser, S. 25 1986 The eigenfunctions of Laplace’s tidal equations over a sphere. Zbl 0207.27501 Longuet-Higgins, M. S. 24 1968 Simultaneous equations of additive type. Zbl 0207.35304 Davenport, Harold; Lewis, D. J. 24 1969 The flow of cohesionless grains in fluids. Zbl 0072.20201 Bagnald, R. A. 24 1956 On the theory of multicomponent chromatography. Zbl 0233.76157 Rhee, Hyun-Ku; Aris, R.; Amundson, N. R. 24 1970 The swirling vortex. Zbl 0254.76029 Serrin, J. 24 1972 Inverse problem for the vibrating beam in the free-clamped configuration. Zbl 0475.73054 Barcilon, V. 24 1982 The complete enumeration of extreme senary forms. Zbl 0077.26601 Barnes, E. S. 23 1957 Discrete symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies. Zbl 0394.34039 Verhulst, F. 23 1979 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 On the eigenvalue problem \(Tu-\lambda Su = 0\) with unbounded and nonsymmetric operators \(T\) and \(S\). Zbl 0152.33804 Petryshyn, W. V. 22 1968 Large elastic deformations of isotropic materials. III. Some simple problems in cylindrical polar co-ordinates. Zbl 0029.32701 Rivlin, R. S. 22 1948 A theory of the origin of microseisms. Zbl 0041.14003 Longuet-Higgins, M. S. 22 1950 Infinite-dimensional Lie groups and algebraic geometry in soliton theory. Zbl 0582.35103 Wilson, G. 22 1985 Nonlinear wave packets in the Kelvin-Helmholtz instability. Zbl 0403.76086 Weissman, M. A. 22 1979 Laminar boundary-layer flow near separation with and without suction. Zbl 0098.17303 Terrill, R. M. 21 1960 Systematic sampling. Zbl 0030.40703 Yates, F. 21 1948 Coupling coefficients and tensor operators for chains of groups. Zbl 0293.22033 Butler, P. H. 21 1975 Acoustic destabilization of vortices. Zbl 0402.76069 Broadbent, E. G.; Moore, D. W. 21 1979 On the approximation of logarithms of algebraic numbers. Zbl 0052.04404 Mahler, K. 21 1953 The Takens-Bogdanov bifurcation with O(2)-symmetry. Zbl 0635.58032 Dangelmayr, G.; Knobloch, E. 20 1987 Outline of a theory of statistical estimation based on the classical theory of probability. JFM 63.0515.02 Neyman, J. 20 1937 A kinematic theory of large magnetic Reynolds number dynamos. Zbl 0255.76116 Soward, A. M. 20 1972 Nets of quadrics, and Theta-characteristics of singular curves. Zbl 0382.14011 Wall, C. T. C. 20 1978 Nuisance parameters, mixture models, and the efficiency of partial likelihood estimators. Zbl 0434.62028 Lindsay, B. G. 20 1980 Solitary-wave solutions of nonlinear problems. Zbl 0707.35131 Benjamin, T. B.; Bona, J. L.; Bose, D. K. 30 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 Electromagnetic plane waves in anisotropic media: An approach using bivectors. Zbl 0702.73054 Boulanger, Ph.; Hayes, M. 1 1990 A spectral solution of the Boltzmann equation for the infinitely strong shock. Zbl 0850.76616 Narasimha, R.; Das, P. 1 1990 Strings at superplanckian energies: In search of the string symmetry. Zbl 0692.53052 Gross, D. J. 14 1989 The search for higher symmetry in string theory. Zbl 0692.53048 Witten, E. 10 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 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 Third quantization. Zbl 0692.53051 Strominger, A. 3 1989 Quantum groups and conformal field theories. Zbl 0692.53047 Alvarez-Gaumé, L. 2 1989 The search for a realistic superstring vacuum. Zbl 0692.53049 Schwarz, J. H. 1 1989 Periodic solutions near equilibria of symmetric Hamiltonian systems. Zbl 0671.58034 Montaldi, J. A.; Roberts, R. M.; Stewart, I. N. 41 1988 Integrable and chaotic motions of four vortices. II: Collision dynamics of vortex pairs. Zbl 0661.76019 Eckhardt, B.; Aref, H. 28 1988 Nonlinear stability of axisymmetric swirling flows. Zbl 0658.76044 Szeri, A.; Holmes, P. 19 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. 11 1988 Viscous centre modes in the stability of swirling Poiseuille flow. Zbl 0673.76114 Stewartson, K.; Ng, T. W.; Brown, Susan N. 8 1988 Computational models for parallel computers. Zbl 0655.68057 Kung, H. T. 2 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 Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integral methods. Zbl 0625.76043 Baldwin, P. 30 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. 18 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. 58 1986 Nonlinear stability analysis of stratified fluid equilibria. Zbl 0637.76119 Abarbanel, H. D. I.; Holm, D. D.; Marsden, J. E.; Ratiu, T. S. 30 1986 Brittle failure in compression: Splitting, faulting and brittle-ductile transition. Zbl 0634.73109 Horii, H.; Nemat-Nasser, S. 25 1986 Geometrical and diffusive effects in nonlinear acoustic propagation over long ranges. Zbl 0617.76092 Nimmo, J. J. C.; Crighton, D. G. 9 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 4 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. 87 1985 Infinite-dimensional Lie groups and algebraic geometry in soliton theory. Zbl 0582.35103 Wilson, G. 22 1985 Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035 Atiyah, Michael; Hitchin, Nigel J. 14 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. 2 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. 44 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. 16 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. 14 1984 Axisymmetric antidynamo theorems in compressible non-uniform conducting fluids. Zbl 0553.76094 Ivers, D. J.; James, R. W. 11 1984 Nonlinear effects on shoaling surface gravity waves. Zbl 0574.76012 Freilich, M. H.; Guza, R. T. 8 1984 The modes, resonances and forced response of elastic structures under heavy fluid loading. Zbl 0557.73043 Crighton, D. G.; Innes, D. 7 1984 Statistical properties of wave groups in a random sea state. Zbl 0557.76041 Longuet-Higgins, M. S. 7 1984 Deductive learning. Zbl 0544.68057 Valiant, L. G. 6 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 relation between logic programming and logic specification. Zbl 0549.68018 Kowalski, R. 4 1984 The use of machines to assist in rigorous proof. Zbl 0572.68078 Milner, R. 4 1984 Programs are predicates. Zbl 0558.68004 Hoare, C. A. R. 2 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 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 716 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. 242 1982 Numerical modelling of turbulent flow in a combustion tunnel. Zbl 0478.76066 Ghoniem, A. F.; Chorin, A. J.; Oppenheim, A. K. 28 1982 Inverse problem for the vibrating beam in the free-clamped configuration. Zbl 0475.73054 Barcilon, V. 24 1982 Dispersion resulting from flow through spatially periodic porous media. II: Surface and intraparticle transport. Zbl 0505.76107 Brenner, H.; Adler, P. M. 18 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. 113 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. 59 1981 Limiting gravity waves in water of finite depth. Zbl 0465.76014 Williams, J. M. 33 1981 A theoretical treatment of the sliding of glaciers in the absence of cavitation. Zbl 0477.76007 Fowler, A. C. 12 1981 Dynamical aspects of shallow sea fronts. Zbl 0495.76023 Garrett, C. J. R.; Loder, J. W. 8 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 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 A non-Gaussian model for random surfaces. Zbl 0475.60023 Adler, R. J.; Firman, D. 3 1981 Theory of massive particles. I: Algebraic structure. Zbl 0463.70015 Sparling, G. A. J. 3 1981 On the theory of unsteady shearing flow over a slot. Zbl 0472.76059 Howe, M. S. 1 1981 Mathieu functions of general order: connection formulae, base functions and asymptotic formulae. Zbl 0452.33010 Barrett, W. 1 1981 Affine cubic functions. IV: Functions on \(C^ 3,\) nonsingular at infinity. Zbl 0462.14008 Wall, C. T. C. 1 1981 Dispersion resulting from flow through spatially periodic porous media. Zbl 0442.76076 Brenner, H. 55 1980 On the generation of waves by wind. Zbl 0445.76013 Blennerhassett, P. J. 34 1980 Nuisance parameters, mixture models, and the efficiency of partial likelihood estimators. Zbl 0434.62028 Lindsay, B. G. 20 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. 122 1979 Asymptotic solutions of model equations in nonlinear acoustics. Zbl 0412.76054 Crighton, D. G.; Scott, J. F. 42 1979 Discrete symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies. Zbl 0394.34039 Verhulst, F. 23 1979 Nonlinear wave packets in the Kelvin-Helmholtz instability. Zbl 0403.76086 Weissman, M. A. 22 1979 ...and 271 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 10,316 Authors 39 Bona, Jerry Lloyd 32 Biswas, Indranil 30 Horgan, Cornelius Oliver 21 Smyth, Noel Frederick 20 Goriely, Alain 19 Liu, Yue 19 Rădulescu, Vicenţiu D. 18 Grimshaw, Roger Hamilton James 18 Murphy, Jeremiah G. 18 Saut, Jean-Claude 17 Marsden, Jerrold Eldon 16 Bazhenov, Nikolaĭ Alekseevich 16 Saccomandi, Giuseppe 16 Theriault, Stephen D. 16 Yin, Zhaoyang 16 Zhang, Bingyu 15 Blanchet, Luc 15 Dutykh, Denys 15 Kalisch, Henrik 15 Le Dizès, Stéphane 15 López Camino, Rafael 15 Ponce, Gustavo 15 Rajagopal, Kumbakonam Ramamani 15 Wazwaz, Abdul-Majid Abdul-Rahman 14 Lai, Shaoyong 14 Lar’kin, Nikolaj Andreevich 14 Mu, Chunlai 14 Omrani, Khaled 14 Sivaloganathan, Jeyabal 14 Soward, Andrew M. 14 Steinmann, Paul 14 Wineman, Alan S. 13 García-Prada, Oscar 13 Himonas, A. Alexandrou 13 Lee, Jenchi 13 Tarantino, Angelo Marcello 12 Amick, Charles J. 12 Duran, Angel 12 Henao, Duvan A. 12 Holm, Darryl Dallas 12 Kozlov, Vladimir A. 12 Linares, Felipe 12 Mammeri, Youcef 12 Omari, Pierpaolo 12 Reddy, Junuthula Narasimha 12 Roberts, Paul H. 12 Sooppy Nisar, Kottakkaran 12 Surana, Karan S. 12 Turkyilmazoglu, Mustafa 11 Cheng, Changjun 11 Constantin, Adrian 11 Downey, Rodney Graham 11 Erbay, Saadet 11 Erkip, Albert Kohen 11 Gao, Hongjun 11 Guo, Boling 11 Jeffrey, Lisa Claire 11 Kishimoto, Daisuke 11 Liu, Zhengrong 11 Maugin, Gérard A. 11 Minzoni, Antonmaria Alessio 11 Pence, Thomas J. 11 Sengupta, Ambar N. 11 Spector, Scott J. 11 Tian, Lixin 11 Yamazaki, Kazuo 10 Busse, Friedrich Hermann 10 Cavalieri, André V. G. 10 Chen, Robin Ming 10 Colonius, Tim 10 Dağ, İdris 10 Destrade, Michel 10 Jordan, Peter 10 Kenig, Carlos Eduardo 10 Kuhl, Ellen 10 Melnikov, Alexander G. 10 Popov, Alexander D. 10 Wentworth, Richard A. 9 Agarwal, Ravi P. 9 Antman, Stuart S. 9 Ball, John MacLeod 9 Baumslag, Gilbert 9 Dougalis, Vassilios A. 9 Engelbrecht, Jüri 9 Fried, Eliot 9 Hsu, Hung-Chu 9 Huebschmann, Johannes 9 Karakashian, Ohannes A. 9 Knapp, Michael P. 9 Kono, Akira 9 Lieberman, Gary M. 9 Liu, Jianguo 9 Lopez-Pamies, Oscar 9 Miller, Russell G. 9 Mitsotakis, Dimitrios E. 9 Onninen, Jani 9 Ortiz, Michael 9 Repovš, Dušan D. 9 Selvadurai, A. Patrick S. 9 Stewart, Ian Nicholas ...and 10,216 more Authors all top 5 Cited in 778 Journals 375 Journal of Fluid Mechanics 190 Journal of Mathematical Physics 164 Physics of Fluids 156 Archive for Rational Mechanics and Analysis 151 Journal of Differential Equations 146 Wave Motion 141 Physica D 137 Journal of the Mechanics and Physics of Solids 134 Journal of Elasticity 126 Acta Mechanica 124 Journal of Mathematical Analysis and Applications 116 Geophysical and Astrophysical Fluid Dynamics 115 Journal of Computational Physics 114 Communications in Mathematical Physics 111 Applied Mathematics and Computation 97 Transactions of the American Mathematical Society 92 Computer Methods in Applied Mechanics and Engineering 90 ZAMP. Zeitschrift für angewandte Mathematik und Physik 79 Mathematics and Mechanics of Solids 77 Journal of Engineering Mathematics 77 Advances in Mathematics 72 International Journal of Engineering Science 72 Nonlinear Analysis. Theory, Methods & Applications. 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Zeitschrift für Angewandte Mathematik und Mechanik ...and 678 more Journals all top 5 Cited in 63 Fields 2,260 Partial differential equations (35-XX) 2,178 Fluid mechanics (76-XX) 1,490 Mechanics of deformable solids (74-XX) 742 Numerical analysis (65-XX) 545 Dynamical systems and ergodic theory (37-XX) 501 Differential geometry (53-XX) 451 Quantum theory (81-XX) 330 Global analysis, analysis on manifolds (58-XX) 323 Ordinary differential equations (34-XX) 321 Algebraic geometry (14-XX) 304 Number theory (11-XX) 262 Geophysics (86-XX) 217 Group theory and generalizations (20-XX) 204 Mechanics of particles and systems (70-XX) 204 Statistical mechanics, structure of matter (82-XX) 191 Probability theory and stochastic processes (60-XX) 180 Calculus of variations and optimal control; optimization (49-XX) 161 Manifolds and cell complexes (57-XX) 153 Mathematical logic and foundations (03-XX) 142 Relativity and gravitational theory (83-XX) 141 Special functions (33-XX) 133 Computer science (68-XX) 127 Statistics (62-XX) 126 Several complex variables and analytic spaces (32-XX) 114 Algebraic topology (55-XX) 114 Classical thermodynamics, heat transfer (80-XX) 109 Operator theory (47-XX) 98 Biology and other natural sciences (92-XX) 92 Combinatorics (05-XX) 91 Optics, electromagnetic theory (78-XX) 85 Integral equations (45-XX) 82 Topological groups, Lie groups (22-XX) 79 Functions of a complex variable (30-XX) 77 Real functions (26-XX) 77 Astronomy and astrophysics (85-XX) 68 Functional analysis (46-XX) 65 Approximations and expansions (41-XX) 65 Systems theory; control (93-XX) 58 History and biography (01-XX) 58 Nonassociative rings and algebras (17-XX) 57 Associative rings and algebras (16-XX) 55 Category theory; homological algebra (18-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 48 Operations research, mathematical programming (90-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 44 Convex and discrete geometry (52-XX) 36 Commutative algebra (13-XX) 36 Geometry (51-XX) 34 Integral transforms, operational calculus (44-XX) 33 General topology (54-XX) 27 Field theory and polynomials (12-XX) 27 Measure and integration (28-XX) 23 General and overarching topics; collections (00-XX) 20 Difference and functional equations (39-XX) 19 Potential theory (31-XX) 17 Information and communication theory, circuits (94-XX) 15 General algebraic systems (08-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 6 \(K\)-theory (19-XX) 4 Sequences, series, summability (40-XX) 4 Abstract harmonic analysis (43-XX) 2 Mathematics education (97-XX) Citations by Year