Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences Short Title: Proc. R. Soc. Lond., Ser. A Publisher: Royal Society of London, London ISSN: 0080-4630 Online: http://rspa.royalsocietypublishing.org/http://www.jstor.org/journals/13645021.html Predecessor: Proceedings of the Royal Society of London. Series A Successor: Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences Comments: Journal; No longer indexed Documents Indexed: 3,513 Publications (1934–1997) References Indexed: 4 Publications with 87 References. all top 5 Latest Issues 453, No. 1967 (1997) 453, No. 1966 (1997) 453, No. 1965 (1997) 453, No. 1964 (1997) 453, No. 1963 (1997) 453, No. 1962 (1997) 453, No. 1961 (1997) 453, No. 1960 (1997) 453, No. 1959 (1997) 453, No. 1958 (1997) 453, No. 1957 (1997) 453, No. 1956 (1997) 452, No. 1955 (1996) 452, No. 1954 (1996) 452, No. 1953 (1996) 452, No. 1952 (1996) 452, No. 1951 (1996) 452, No. 1950 (1996) 452, No. 1949 (1996) 452, No. 1948 (1996) 452, No. 1947 (1996) 452, No. 1946 (1996) 452, No. 1945 (1996) 452, No. 1944 (1996) 451, No. 1943 (1995) 451, No. 1942 (1995) 451, No. 1941 (1995) 450, No. 1940 (1995) 450, No. 1939 (1995) 450, No. 1938 (1995) 449, No. 1937 (1995) 449, No. 1936 (1995) 449, No. 1935 (1995) 448, No. 1934 (1995) 448, No. 1933 (1995) 448, No. 1932 (1995) 447, No. 1931 (1994) 447, No. 1930 (1994) 447, No. 1929 (1994) 446, No. 1928 (1994) 446, No. 1927 (1994) 446, No. 1926 (1994) 445, No. 1925 (1994) 445, No. 1924 (1994) 445, No. 1923 (1994) 444, No. 1922 (1994) 444, No. 1921 (1994) 444, No. 1920 (1994) 443, No. 1919 (1993) 443, No. 1918 (1993) 443, No. 1917 (1993) 442, No. 1916 (1993) 442, No. 1915 (1993) 441, No. 1913 (1993) 441, No. 1912 (1993) 441, No. 1911 (1993) 440, No. 1910 (1993) 440, No. 1909 (1993) 440, No. 1908 (1993) 439, No. 1907 (1992) 439, No. 1906 (1992) 439, No. 1905 (1992) 438, No. 1904 (1992) 438, No. 1903 (1992) 438, No. 1902 (1992) 437, No. 1901 (1992) 437, No. 1900 (1992) 437, No. 1899 (1992) 436, No. 1898 (1992) 436, No. 1897 (1992) 436, No. 1896 (1992) 435, No. 1895 (1991) 435, No. 1894 (1991) 435, No. 1893 (1991) 434, No. 1892 (1991) 434, No. 1891 (1991) 434, No. 1890 (1991) 433, No. 1889 (1991) 433, No. 1888 (1991) 433, No. 1887 (1991) 432, No. 1886 (1991) 432, No. 1885 (1991) 432, No. 1884 (1991) 431, No. 1883 (1990) 431, No. 1882 (1990) 431, No. 1881 (1990) 430, No. 1880 (1990) 430, No. 1879 (1990) 430, No. 1878 (1990) 429, No. 1877 (1990) 429, No. 1876 (1990) 428, No. 1875 (1990) 428, No. 1874 (1990) 427, No. 1873 (1990) 427, No. 1872 (1990) 426, No. 1871 (1989) 426, No. 1870 (1989) 425, No. 1869 (1989) 425, No. 1868 (1989) 424, No. 1867 (1989) ...and 318 more Volumes all top 5 Authors 39 Chandrasekhar, Subrahmanyan 31 Green, Albert E. 28 Longuet-Higgins, Michael Selwyn 28 Smith, Frank T. 26 Southwell, Richard Vynne 25 Taylor, Geoffrey Ingram 21 Synge, John Lighton 20 Berry, Michael Victor 20 Howe, Michael S. 20 Jeffreys, Harold 19 Hall, Philip 18 Born, Max 18 Dirac, Paul Adrien Maurice 17 Atkinson, Colin 17 Lennard-Jones, John E. 17 Milne, Edward Arthur 16 Fuchs, Klaus 16 Lighthill, Michael James 16 Massey, Harrie Stewart Wilson 16 Peierls, Rudolf Ernst 15 Meksyn, David 15 Stewartson, Keith 14 Pryce, Maurice Henry Lecorney 14 Scott, Stephen K. 14 Thompson, John Michael T. 13 Coulson, Charles Alfred 13 Crighton, David George 13 Daniels, P. G. 13 Fröhlich, Herbert 13 Jahn, H. A. 13 Merkin, John H. 13 Titchmarsh, Edward Charles 12 Bhabha, Homi Jehangir 12 Chadwick, Peter 12 Edwards, Sam F. 12 Sozou, C. 11 Conway, John Horton 11 Dalgarno, A. 11 Eden, Richard J. 11 Hartree, Douglas Rayner 11 Leppington, Frank G. 11 Price, W. Geraint 11 Sloane, Neil James Alexander 11 Spence, David Allan 11 Temple, George Frederick James 11 Xanthopoulos, Basilis C. 10 Bondi, Hermann 10 Gray, Brian F. 10 Havelock, Thomas Henry 10 Longuet-Higgins, H. Christopher 10 Pople, John Anthony 10 Saffman, Philip Geoffrey 10 Sondheimer, Ernst Helmut 10 Whitham, Gerald Beresford 9 Abrahams, I. David 9 Bates, D. R. 9 Bishop, Richard Evelyn Donohue 9 Broadbent, E. G. 9 Buckingham, Richard A. 9 Evans, William Desmond 9 Green, Herbert S. 9 Hall, George G. 9 Jones, Douglas Samuel 9 Naghdi, Paul Mansour 9 Needham, David John 9 Rosenhead, L. 9 Schott, George Adolphus 9 Woods, Leslie Colin 8 Benjamin, Thomas Brooke 8 Blythe, Philip A. 8 Brown, Gordon Elliott 8 Guggenheim, E. A. 8 Hartree, W. 8 Martin, Paul Andrew 8 Moffitt, W. E. 8 Nye, John F. 8 Riley, Norman 8 Skyrme, Tony Hilton Royle 8 Stewart, John M. 8 Wickham, Gerry R. 7 Arthurs, A. M. 7 Barnett, David M. 7 Bassom, Andrew P. 7 Batchelor, George Keith 7 Blackman, M. 7 Budden, K. G. 7 Chester, William 7 Clark, G. L. 7 Clarke, John F. 7 Craik, Alex D. D. 7 Devonshire, A. F. 7 Dhanak, Manhar R. 7 Edmunds, David Eric 7 Flowers, B. H. 7 Gill, William N. 7 Goldsbrough, George Ridsdale 7 Hill, Rodney 7 Howarth, Leslie 7 Howls, Christopher John 7 Hoyle, Fred ...and 2,378 more Authors all top 5 Fields 760 Fluid mechanics (76-XX) 406 Mechanics of deformable solids (74-XX) 283 Partial differential equations (35-XX) 122 Differential geometry (53-XX) 102 Relativity and gravitational theory (83-XX) 100 Numerical analysis (65-XX) 91 Classical thermodynamics, heat transfer (80-XX) 85 Mechanics of particles and systems (70-XX) 85 Quantum theory (81-XX) 78 Ordinary differential equations (34-XX) 77 Dynamical systems and ergodic theory (37-XX) 60 Geophysics (86-XX) 60 Biology and other natural sciences (92-XX) 53 Statistical mechanics, structure of matter (82-XX) 50 Optics, electromagnetic theory (78-XX) 49 Global analysis, analysis on manifolds (58-XX) 47 Probability theory and stochastic processes (60-XX) 38 Approximations and expansions (41-XX) 33 Number theory (11-XX) 31 Integral equations (45-XX) 27 Statistics (62-XX) 25 Special functions (33-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 23 Functions of a complex variable (30-XX) 21 Operator theory (47-XX) 16 Measure and integration (28-XX) 16 Functional analysis (46-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Combinatorics (05-XX) 13 Topological groups, Lie groups (22-XX) 13 Integral transforms, operational calculus (44-XX) 13 Systems theory; control (93-XX) 12 Computer science (68-XX) 11 Geometry (51-XX) 10 Group theory and generalizations (20-XX) 10 Information and communication theory, circuits (94-XX) 9 Convex and discrete geometry (52-XX) 8 History and biography (01-XX) 8 Real functions (26-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Manifolds and cell complexes (57-XX) 7 Astronomy and astrophysics (85-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Algebraic geometry (14-XX) 6 Nonassociative rings and algebras (17-XX) 6 Difference and functional equations (39-XX) 5 Mathematical logic and foundations (03-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Operations research, mathematical programming (90-XX) 4 General and overarching topics; collections (00-XX) 3 General topology (54-XX) 3 Algebraic topology (55-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,669 Publications have been cited 45,882 times in 35,967 Documents Cited by ▼ Year ▼ The determination of the elastic field of an ellipsoidal inclusion, and related problems. Zbl 0079.39606 Eshelby, J. D. 995 1957 Quantal phase factors accompanying adiabatic changes. Zbl 1113.81306 Berry, M. V. 679 1984 Gravitational waves in general relativity. VII: Waves from axi-symmetric isolated systems. Zbl 0106.41903 Bondi, H.; Van der Burg, M. G. J.; Metzner, A. W. K. 643 1962 On kinematic waves. II. A theory of traffic flow on long crowded roads. Zbl 0064.20906 Lighthill, M. J.; Whitham, G. B. 611 1955 Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011 Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 572 1978 Gravitational waves in general relativity. VIII: Waves in asymptotically flat space-time. Zbl 0101.43605 Sachs, R. K. 485 1962 On the formulation of rheological equations of state. Zbl 1157.76305 Oldroyd, J. G 470 1950 Quantum theory, the Church-Turing principle and the universal quantum computer. Zbl 0900.81019 Deutsch, D. 449 1985 The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid. Zbl 0086.41603 Saffman, P. G.; Taylor, Geoffrey 426 1958 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I. Zbl 0038.12201 Taylor, Geoffrey 383 1950 A re-examination of the basic postulates of thermomechanics. Zbl 0726.73004 Green, A. E.; Naghdi, P. M. 377 1991 The singularities of gravitational collapse and cosmology. Zbl 0954.83012 Hawking, S. W.; Penrose, R. 371 1970 On sound generated aerodynamically. I. General theory. Zbl 0049.25905 Lighthill, M. J. 336 1952 On three-dimensional packets of surface waves. Zbl 0282.76008 Davey, A.; Stewartson, Keith 329 1974 Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ’percolation’ problem. Zbl 0211.56703 Temperley, H. V. N.; Lieb, Elliott H. 327 1971 The application of integral equation methods to the numerical solution of some exterior boundary-value problems. Zbl 0235.65080 Burton, A. J.; Miller, G. F. 297 1971 Rapid solution of problems by quantum computation. Zbl 0792.68058 Deutsch, David; Jozsa, Richard 294 1992 Large deformation isotropic elasticity - on the correlation of theory and experiment for incompressible rubberlike solids. Zbl 0257.73034 Ogden, R. W. 272 1972 The mechanics of rubber elasticity. Zbl 0347.73042 Treloar, L. R. G. 271 1976 An invariant form for the prior probability in estimation problems. Zbl 0063.03050 Jeffreys, Harold 271 1946 A unified transform method for solving linear and certain nonlinear PDEs. Zbl 0876.35102 Fokas, A. S. 246 1997 The deformation of steep surface waves on water. I: A numerical method of computation. Zbl 0346.76006 Longuet-Higgins, M. S.; Cokelet, E. D. 244 1976 A non-linear field theory. Zbl 0102.22605 Skyrme, T. H. R. 244 1961 Zero rest-mass fields including gravitation: asymptotic behaviour. Zbl 0129.41202 Penrose, Roger 241 1965 A theory of the yielding and plastic flow of anisotropic metals. Zbl 0032.08805 Hill, R. 227 1948 Properties of sufficiency and statistical tests. Zbl 0016.41201 Bartlett, M. S. 217 1937 Mechanism of the production of small eddies from large one. JFM 63.1358.03 Taylor, G. I.; Green, A. E. 215 1937 Iterated function systems and the global construction of fractals. Zbl 0588.28002 Barnsley, M. F.; Demko, Stephen 210 1985 Limit theorems for fuzzy random variables. Zbl 0605.60038 Klement, E. P.; Puri, M. L.; Ralescu, D. A. 208 1986 Classical theory of radiating electrons. Zbl 0023.42702 Dirac, P. A. M. 205 1938 Variational methods and applications to water waves. Zbl 0163.21104 Whitham, G. B. 204 1967 The elastic field outside an ellipsoidal inclusion. Zbl 0092.42001 Eshelby, J. D. 202 1959 Plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 0938.74014 Steigmann, D. J.; Ogden, R. W. 201 1997 On relativistic wave equations for particles of arbitrary spin in an electromagnetic field. Zbl 0023.43004 Fierz, M.; Pauli, W. 196 1939 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 constitutive macro-variables for heterogeneous solids at finite strain. Zbl 0229.73004 Hill, R. 193 1972 Ideals defined by matrices and a certain complex associated with them. Zbl 0106.25603 Eagon, J. A.; Northcott, D. G. 185 1962 Front migration in the nonlinear Cahn-Hilliard equation. Zbl 0701.35159 Pego, R. L. 183 1989 Non-linear dispersive waves. Zbl 0125.44202 Whitham, G. B. 179 1965 Spinning test-particles in general relativity. I. Zbl 0044.22801 Papapetrou, A. 172 1951 Note on a modification to the nonlinear Schrödinger equation for application to deep water waves. Zbl 0429.76014 Dysthe, K. B. 171 1979 Multiple-particle interference and quantum error correction. Zbl 0876.94002 Steane, Andrew 168 1996 Soliton solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations: the Wronskian technique. Zbl 0588.35077 Freeman, N. C.; Nimmo, J. J. C. 165 1983 The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Translated from the Russian by V. Levin. Zbl 1142.76389 Kolmogorov, A. N. 165 1991 Turbulent gravitational convection from maintained and instantaneous sources. Zbl 0074.45402 Morton, B. R.; Taylor, Sir Geoffrey; Turner, J. S. 165 1956 Non-Newtonian effects in steady motion of some idealized elasticoviscous liquids. Zbl 0080.38805 Oldroyd, J. G. 155 1958 On relativistic wave equations for particles of arbitrary spin in an electromagnetic field. JFM 65.1532.01 Fierz, M.; Pauli, W. 154 1939 Regenerative stochastic processes. Zbl 0067.36301 Smith, W. L. 154 1955 A unified procedure for construction of theories of deformable media. I: Classical continuum physics. II: Generalized continua. III: Mixtures of interacting continua. Zbl 0868.73013 Green, A. E.; Naghdi, P. M. 152 1995 Time decay for the nonlinear Klein-Gordon equation. Zbl 0157.41502 Morawetz, C. S. 152 1968 On the density of discriminants of cubic fields. II. Zbl 0212.08101 Davenport, Harold; Heilbronn, H. 152 1971 On the stability theory of solitary waves. Zbl 0328.76016 Bona, J. 151 1975 Self-induced separation. Zbl 0184.52903 Stewartson, K.; Williams, P. G. 151 1969 Gravitational waves in general relativity. VI: The outgoing radiation condition. Zbl 0098.19204 Sachs, R. 147 1961 Analysis of the swimming of microscopic organisms. Zbl 0043.40302 Taylor, Sir Geoffrey 146 1951 Bounds and self-consistent estimates for creep of polycrystalline materials. Zbl 0319.73059 Hutchinson, J. W. 140 1976 Quantum computational networks. Zbl 0691.68054 Deutsch, D. 139 1989 Level clustering in the regular spectrum. Zbl 1119.81395 Berry, M. V.; Tabor, M. 138 1977 Subgroups of finitely presented groups. Zbl 0104.02101 Higman, G. 137 1961 The analysis of randomized experiments with orthogonal block structure. I: Block structure and the null analysis of variance. II: Treatment structure and the general analysis of variance. Zbl 0124.10703 Nelder, J. A. 136 1965 The spectrum of turbulence. JFM 64.1454.02 Taylor, G. I. 134 1939 The stability of the plane free surface of a liquid in vertical periodic motion. Zbl 0057.18801 Benjamin, T. B.; Ursell, F. 132 1954 Singularities, interfaces and cracks in dissimilar anisotropic media. Zbl 0706.73065 Suo, Zhigang 131 1990 Thermodynamics and stability of fluids of third grade. Zbl 0441.76002 Fosdick, R. L.; Rajagopal, K. R. 128 1980 Generalized Hamiltonian dynamics. Zbl 0080.41402 Dirac, P. A. M. 125 1958 Transformation field analysis of inelastic composite materials. Zbl 0748.73007 Dvorak, George J. 124 1992 Disintegration of water drops in an electric field. Zbl 0119.21101 Taylor, Sir Geoffrey 120 1964 A new hierarchy of Korteweg-de Vries equations. Zbl 0346.35024 Caudrey, P. J.; Dodd, R. K.; Gibbon, J. D. 118 1976 The spontaneous appearance of a singularity in the shape of an evolving vortex sheet. Zbl 0404.76040 Moore, D. W. 117 1979 The particle aspect of meson theory. Zbl 0023.19003 Kemmer, N. 113 1939 Some spherical gravitational waves in general relativity. Zbl 0099.42902 Robinson, Ivor; Trautman, André 113 1962 On the non-parallel flow stability of the Blasius boundary layer. Zbl 0411.76042 Smith, F. T. 111 1979 Forms in many variables. Zbl 0103.03102 Birch, B. J. 111 1962 A new basis for cosmology. Zbl 0018.28801 Dirac, P. A. M. 109 1938 The formation of a blast wave by a very intense explosion. I. Theoretical discussion. II. The atomic explosion of 1945. Zbl 0036.26404 Taylor, Geoffrey 109 1950 The influence of solid boundaries upon aerodynamic sound. Zbl 0067.43104 Curle, N. 109 1955 On the solution of the laminar boundary layer equations. JFM 64.1452.01 Howarth, L. 107 1938 The theory of gravitation in Hamiltonian form. Zbl 0080.41403 Dirac, P. A. M. 107 1958 Variational principles in continuum mechanics. Zbl 0198.57601 Seliger, R. L.; Whitman, G. B. 106 1968 Statistical theory of turbulence. JFM 61.0926.02 Taylor, G. I. 105 1935 Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids. Zbl 0245.73032 Ogden, R. W. 104 1972 On kinematic waves. I. Flood movement in long rivers. Zbl 0064.20905 Lighthill, M. J.; Whitham, G. B. 100 1955 On the combinatorics of the Hirota \(D\)-operators. Zbl 0868.35101 Gilson, C.; Lambert, F.; Nimmo, J.; Willox, R. 95 1996 The heat transport and spectrum of thermal turbulence. Zbl 0058.20203 Malkus, W. V. R. 95 1954 Semiclassical theory of spectral rigidity. Zbl 0875.35061 Berry, M. V. 94 1985 Integral equation methods in potential theory. I. Zbl 0112.33103 Jaswon, M. A. 93 1963 The dynamics of thin sheets of fluid. I: Water bells. II: Waves on fluid sheets. III: Disintegration on fluid sheets. Zbl 0087.19602 Taylor, Geoffrey I. 93 1959 Radiation from a moving mirror in two dimensional space-time: conformal anomaly. Zbl 0404.53024 Fulling, S. A.; Davies, P. C. W. 89 1976 Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations. Zbl 0701.35149 Rendall, A. D. 89 1990 On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid. JFM 61.1539.01 Tomotika, S. 89 1935 On the statistical theory of isotropic turbulence. Zbl 0018.15805 de Kármán, Theodore; Howarth, Leslie 89 1938 The supercritical phase of percolation is well behaved. Zbl 0711.60100 Grimmett, G. R.; Marstrand, J. M. 88 1990 Statistical theory of superlattices. Zbl 0012.04501 Bethe, H. A. 88 1935 Ideal points in space-time. Zbl 0257.53059 Geroch, R.; Kronheimer, E. H.; Penrose, Roger 87 1972 On non-compact groups. I: Classification of noncompact real simple Lie groups and groups containing the Lorentz group. Zbl 0132.27901 Barut, A. O.; Raczka, R. 87 1965 On sound generated aerodynamically. II. Turbulence as a source of sound. Zbl 0055.19109 Lighthill, M. J. 87 1954 From global scaling, à la Kolmogorov, to local multifractal scaling in fully developed turbulence. Zbl 0727.76064 Frisch, U. 86 1991 The occurrence of singularities in cosmology. III: Causality and singularities. Zbl 0163.23903 Hawking, Stephen W. 86 1967 A perturbation method for nonlinear dispersive wave problems. Zbl 0143.13603 Luke, J. C. 84 1966 Gravitational waves in general relativity. III: Exact plane waves. Zbl 0084.44002 Bondi, H.; Pirani, F. A. E.; Robinson, I. 82 1959 A unified transform method for solving linear and certain nonlinear PDEs. Zbl 0876.35102 Fokas, A. S. 246 1997 Plane deformations of elastic solids with intrinsic boundary elasticity. Zbl 0938.74014 Steigmann, D. J.; Ogden, R. W. 201 1997 Application of thermomechanical principles to the modelling of geotechnical materials. Zbl 0933.74045 Collins, I. F.; Houlsby, G. T. 47 1997 Superposition principles associated with the Moutard transformation: An integrable discretization of a \((2+1)\)-dimensional sine-Gordon system. Zbl 0867.35086 Nimmo, J. J. C.; Schief, W. K. 39 1997 Model equations for waves in stratified fluids. Zbl 0886.35111 Albert, J. P.; Bona, J. L.; Saut, J.-C. 37 1997 A circular inclusion with circumferentially inhomogeneous interface in antiplane shear. Zbl 0910.73009 Ru, C. Q.; Schiavone, P. 36 1997 Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators. Zbl 0887.70016 Fredriksson, Mats H.; Nordmark, Arne B. 33 1997 Crumpled paper. Zbl 0894.73049 Ben Amar, M.; Pomeau, Y. 32 1997 Combustion waves for gases \((Le=1)\) and solids \((Le\to \infty)\). Zbl 0885.76105 Weber, R. O.; Mercer, G. N.; Sidhu, H. S.; Gray, B. F. 31 1997 Adhesion of elastic spheres. Zbl 0916.73042 Greenwood, J. A. 29 1997 A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities. Zbl 0884.76025 Bridges, Thomas J. 26 1997 Indistinguishability for quantum particles: Spin, statistics and the geometric phase. Zbl 0892.46084 Berry, M. V.; Robbins, J. M. 25 1997 Darboux transformations for the two-dimensional Toda system. Zbl 0890.35147 Nimmo, J. J. C.; Willox, R. 22 1997 The Lanczos potential for the Weyl curvature tensor: Existence, wave equation and algorithms. Zbl 0881.53069 Edgar, S. B.; Höglund, A. 21 1997 Hyperasymptotics for multidimensional integrals, exact remainder terms and the global connection problem. Zbl 1067.58501 Howls, C. J. 21 1997 On the notion of a \(\xi\)-vector and a stress tensor for a general class of anisotropic diffuse interface models. Zbl 0894.60101 Wheeler, A. A.; McFadden, G. B. 18 1997 Green’s functions for a two-phase infinite piezoelectric plane. Zbl 1067.74523 Ding, H. J.; Wang, G. Q.; Chen, W. Q. 18 1997 Low-dimensional lattices. VII: Coordination sequences. Zbl 1066.11505 Conway, J. H.; Sloane, N. J. A. 18 1997 Turbulent drag reduction using compliant surfaces. Zbl 0899.76022 Choi, K.-S.; Yang, X.; Clayton, B. R.; Glover, E. J.; Atlar, M.; Semenov, B. N.; Kulik, V. M. 17 1997 Infinite systems for a biharmonic problem in a rectangle. Zbl 0891.31003 Meleshko, V. V.; Gomilko, A. M. 16 1997 Linear stability of idealized detonations. Zbl 0898.76041 Sharpe, G. J. 16 1997 Green’s tensors and lattice sums for elastostatics and elastodynamics. Zbl 0869.73017 Movchan, A. B.; Nicorovici, N. A.; McPhedran, R. C. 16 1997 Uniform asymptotic expansions for the Barnes double gamma function. Zbl 0926.33001 Billingham, J.; King, A. C. 15 1997 Nonlinear dynamics of filaments. III: Instabilities of helical rods. Zbl 0928.74052 Goriely, A.; Tabor, M. 14 1997 Portfolio management with transaction costs. Zbl 0873.90007 Atkinson, Colin; Pliska, Stanley R.; Wilmott, Paul 13 1997 Centre manifold reduction and the Stuart-Landau equation for fluid motions. Zbl 0871.76024 Fujimura, K. 12 1997 Green’s function of anisotropic piezoelectricity. Zbl 0869.73064 Akamatsu, Masayuki; Tanuma, Kazumi 11 1997 On the geometry of an integrable \((2+1)\)-dimensional sine-Gordon system. Zbl 0953.35128 Schief, W. K. 10 1997 Asymptotic and Rayleigh-Ritz routes to localized buckling solutions in an elastic instability problem. Zbl 0895.73026 Wadee, M. K.; Hunt, G. W.; Whiting, A. I. M. 10 1997 Variational estimates of the self-consistent type for the effective behaviour of some model nonlinear polycrystals. Zbl 0914.73080 Ponte Castañeda, P.; Nebozhyn, M. V. 10 1997 The effects of freestream pressure gradient on a corner boundary layer. Zbl 0941.76019 Dhanak, Manhar R.; Duck, Peter W. 9 1997 On the effective viscoelastic moduli of two-phase media. II: Rigorous bounds on the complex shear modulus in three dimensions. Zbl 0934.74061 Milton, G. W.; Berryman, J. G. 9 1997 Stationary configurations of a vortex filament in background flows. Zbl 0891.76021 Fukumoto, Yasuhide 9 1997 Finite element formulation of coupled grain-boundary and surface diffusion with grain-boundary migration. Zbl 0898.73065 Pan, J.; Cocks, A. C. F.; Kucherenko, S. 9 1997 Optimal semi-Latin squares with side six and block size two. Zbl 0935.62087 Bailey, R. A.; Royle, G. 8 1997 On the asymptotic solution of a high-order nonlinear ordinary differential equation. Zbl 1030.34500 Cox, Stephen M.; King, Andrew C. 8 1997 Conductivity of a periodic particle composite with transversely isotropic phases. Zbl 0888.73037 Kushch, V. I. 8 1997 A reduced dynamical model of convective flows in tall laterally heated cavities. Zbl 0874.76022 Liakopoulos, A.; Blythe, P. A.; Gunes, H. 8 1997 Some analytical properties of capillary-gravity waves in two-fluid flows of infinite depth. Zbl 0885.76015 Sun, S. M. 7 1997 Non-uniqueness in two-dimensional water wave problems: numerical evidence and geometrical restrictions. Zbl 1067.76530 Linton, C. M.; Kuznetsov, N. G. 7 1997 The effect of noise on pitchfork and Hopf bifurcations. Zbl 0925.70311 Juel, Anne; Darbyshire, Alan G.; Mullin, Tom 7 1997 Harmonic maps between spheres. Zbl 0874.58009 Bizoń, Piotr; Chmaj, Tadeusz 7 1997 Surface waves in anisotropic elastic materials for which the matrix \(N(v)\) is extraordinary degenerate, degenerate, or semisimple. Zbl 0884.73013 Ting, T. C. T. 7 1997 Laminar jet assimilation into non-uniform flows. Zbl 0872.76028 Astin, Paul; Wilks, Graham 7 1997 Nonlinear electrical conductivity in heterogeneous media. Zbl 0886.73039 Ponte Castañeda, P.; Kailasam, M. 6 1997 Dynamic stability of non-minimizing phase mixtures. Zbl 1020.74002 Friesecke, G.; McLeod, J. B. 6 1997 A fully dispersive weakly nonlinear model for water waves. Zbl 0876.76012 Nadaoka, K.; Beji, S.; Nakagawa, Y. 6 1997 Local and global instabilities of spatially developing flows: Cautionary examples. Zbl 0894.76027 Brevdo, L.; Bridges, T. J. 5 1997 Asymptotic and numerical solution for the two-dimensional solidification of a liquid half-space. Zbl 0885.35150 Wallman, A. M.; King, J. R.; Riley, D. S. 5 1997 Frictional heating in plane Couette flow. Zbl 0886.76020 Johns, L. E.; Narayanan, R. 5 1997 Travelling waves in an ionic autocatalytic chemical system with an imposed electric field. Zbl 1067.92504 Snita, D.; Sevcikova, H.; Marek, M.; Merkin, M.; Merkin, J. H. 5 1997 Lateral contact of slender prismatic bodies. Zbl 1067.74548 Castillo, José; Barber, J. R. 5 1997 Attractors for three-dimensional Navier-Stokes equations. Zbl 0990.35118 Capiński, Marek; Cutland, Nigel J. 5 1997 A low-order theory for stability of non-parallel boundary layer flows. Zbl 0898.76039 Govindarajan, Rama; Narasimha, R. 5 1997 Mechanism of drop constriction in a drop-on-demand inkjet system. Zbl 0922.76132 Badie, Ramin; De Lange, Dirk Frits 5 1997 An exact correspondence between plane piezoelectricity and generalized plane strain in elasticity. Zbl 0906.73053 Chen, Tungyang; Lai, Donsen 5 1997 Static cosmic strings on \(S^ 2\) and criticality. Zbl 0866.53075 Yang, Yisong 5 1997 The influence of inertia on the configurational forces in a deformable solid. Zbl 0939.74005 Cermelli, P.; Fried, E. 4 1997 Asymptotic analysis of reinforcement by frictional fibres. Zbl 0913.73058 Movchan, N. V.; Willis, J. R. 4 1997 A new forecasting model \(\text{GDM}(2,2,1)\) of dynamic systems. Zbl 0915.93059 Chen, C.-K.; Tien, T.-L. 4 1997 Dynamo waves in semi-infinite and finite domains. Zbl 0877.76084 Worledge, Daniel; Knobloch, Edgar; Tobias, Steven; Proctor, Michael 4 1997 A time-dependent nonlinear mild-slope equation for water waves. Zbl 0876.76009 Beji, S.; Nadaoka, K. 4 1997 Two-dimensional elastic compliances of materials with holes and microcracks. Zbl 0884.73040 Zheng, Q.-S.; Hwang, K. C. 4 1997 Non-self-similar decohesion along a finite interface of unilaterally constrained delaminations. Zbl 0884.73038 Shahwan, Khaled W.; Waas, Anthony M. 4 1997 The solution of a class of free boundary problems. Zbl 0879.76099 Craster, R. V. 4 1997 The Korn’s type inequality in subspaces and thin elastic structures. Zbl 0937.74009 Ovtchinnikov, Evgueni E.; Xanthis, Leonidas S. 3 1997 The intersection of opposed big cells in real flag varieties. Zbl 0885.20032 Rietsch, Konstanze 3 1997 A new approach to stress analysis of anisotropic laminated elastic cylinders. Zbl 0901.73052 Ruddock, G. J.; Spencer, A. J. 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M. 1 1997 ...and 1561 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 41,676 Authors 76 Wang, Xu 70 Schiavone, Peter 67 Rajagopal, Kumbakonam Ramamani 65 Quintanilla de Latorre, Ramón 58 Fokas, Athanassios S. 58 Hayat, Tasawar 55 Smith, Frank T. 53 Forbes, Lawrence K. 48 Ponte Castañeda, Pedro 45 Straughan, Brian 41 Ma, Wen-Xiu 41 Sevostianov, Igor 39 Hall, Philip 39 Mukhopadhyay, Santwana 33 Grimshaw, Roger Hamilton James 33 Steinmann, Paul 33 Yu, Zhaoxian 32 Vanden-Broeck, Jean-Marc 30 Antonia, Robert Anthony 30 Newman, Ezra Theodore 29 Fan, Engui 29 Guo, Boling 29 Marsden, Jerrold Eldon 29 Maugin, Gérard A. 29 Miehe, Christian 29 Miranville, Alain M. 29 Yang, Yisong 28 Goatin, Paola 28 Goriely, Alain 28 Merkin, John H. 27 Bassom, Andrew P. 27 Bridges, Thomas J. 27 Holm, Darryl Dallas 27 Milton, Graeme Walter 27 Ogden, Raymond William 27 Pullin, Dale I. 27 Wu, Xuesong 26 Gao, Yitian 26 Piccoli, Benedetto 26 van Gorder, Robert Ashton 26 Xue, Kang 25 Kalisch, Henrik 25 Tian, Shoufu 25 Valiente Kroon, Juan Antonio 24 Ablowitz, Mark Jay 24 Bailey, Rosemary A. 24 Dutykh, Denys 24 Jiao, Zhiyong 24 Ting, Thomas C. T. 23 Asghar, Saleem 23 Eremeyev, Victor A. 23 He, Jingsong 23 Herty, Michael Matthias 23 Tian, Bo 23 Zhang, Dajun 22 Davidov, Johann T. 22 El, Gennady A. 22 Saccomandi, Giuseppe 22 Weng, George J. 21 Bagchi, Arjun 21 Berry, Michael Victor 21 Fried, Eliot 21 Gao, Xinlin 21 Garavello, Mauro 21 Gil, María Angeles 21 Lenells, Jonatan 21 Lopez-Pamies, Oscar 21 Twizell, E. H. 21 Zhou, Rigui 20 Ayub, Muhammad 20 Dias, Frédéric 20 Lowengrub, John Samuel 20 Mason, Lionel J. 20 Pop, Ioan 20 Qiu, Daowen 20 Saffman, Philip Geoffrey 20 Saut, Jean-Claude 20 Shelley, Michael J. 20 Sloane, Neil James Alexander 20 Vassilicos, John-Christos 19 Bigoni, Davide 19 Boyd, John Philip 19 Djenidi, Lyazid 19 Gancedo, Francisco 19 Göttlich, Simone 19 Herrera, Luis Alfredo 19 Kanoria, Mridula 19 Luo, Shaokai 19 Martin, Paul Andrew 19 Mihăilescu, Mihai 19 Moroz, Irene M. 19 Rogers, Colin 19 Rosini, Massimiliano Daniele 19 Ruban, Anatoly I. 19 Sun, Chunfang 19 Toro, Eleuterio Francisco 19 Udwadia, Firdaus E. 19 Vajravelu, Kuppalapalle 19 Wang, Gangcheng 18 Abrahams, I. David ...and 41,576 more Authors all top 5 Cited in 1,133 Journals 2,175 Journal of Fluid Mechanics 1,414 Journal of Mathematical Physics 915 Physics of Fluids 806 Journal of High Energy Physics 768 Physical Review, II. 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Theory and Methods 77 New Journal of Physics 75 Applicable Analysis 74 Journal of Nonlinear Mathematical Physics 74 International Journal of Quantum Information ...and 1,033 more Journals all top 5 Cited in 63 Fields 10,465 Fluid mechanics (76-XX) 6,284 Partial differential equations (35-XX) 6,208 Mechanics of deformable solids (74-XX) 4,475 Quantum theory (81-XX) 3,511 Relativity and gravitational theory (83-XX) 2,486 Numerical analysis (65-XX) 1,982 Differential geometry (53-XX) 1,843 Dynamical systems and ergodic theory (37-XX) 1,575 Statistical mechanics, structure of matter (82-XX) 1,064 Mechanics of particles and systems (70-XX) 1,054 Classical thermodynamics, heat transfer (80-XX) 1,011 Ordinary differential equations (34-XX) 1,011 Statistics (62-XX) 942 Probability theory and stochastic processes (60-XX) 780 Biology and other natural sciences (92-XX) 774 Global analysis, analysis on manifolds (58-XX) 768 Number theory (11-XX) 764 Optics, electromagnetic theory (78-XX) 742 Computer science (68-XX) 659 Operations research, mathematical programming (90-XX) 645 Geophysics (86-XX) 621 Group theory and generalizations (20-XX) 521 Algebraic geometry (14-XX) 471 Operator theory (47-XX) 467 Calculus of variations and optimal control; optimization (49-XX) 461 Information and communication theory, circuits (94-XX) 402 Combinatorics (05-XX) 385 Astronomy and astrophysics (85-XX) 348 Functional analysis (46-XX) 341 Integral equations (45-XX) 307 Systems theory; control (93-XX) 293 Manifolds and cell complexes (57-XX) 292 Nonassociative rings and algebras (17-XX) 288 Topological groups, Lie groups (22-XX) 278 Special functions (33-XX) 276 Measure and integration (28-XX) 260 Several complex variables and analytic spaces (32-XX) 252 Linear and multilinear algebra; matrix theory (15-XX) 252 Functions of a complex variable (30-XX) 216 Approximations and expansions (41-XX) 215 Real functions (26-XX) 212 Mathematical logic and foundations (03-XX) 207 History and biography (01-XX) 197 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 177 Commutative algebra (13-XX) 171 Harmonic analysis on Euclidean spaces (42-XX) 159 Associative rings and algebras (16-XX) 137 General and overarching topics; collections (00-XX) 111 Geometry (51-XX) 107 Algebraic topology (55-XX) 102 Convex and discrete geometry (52-XX) 94 Potential theory (31-XX) 85 General topology (54-XX) 79 Difference and functional equations (39-XX) 79 Integral transforms, operational calculus (44-XX) 67 Category theory; homological algebra (18-XX) 38 Order, lattices, ordered algebraic structures (06-XX) 29 Sequences, series, summability (40-XX) 26 Abstract harmonic analysis (43-XX) 23 Field theory and polynomials (12-XX) 22 \(K\)-theory (19-XX) 17 General algebraic systems (08-XX) 11 Mathematics education (97-XX) Citations by Year