## Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences

 Short Title: Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. Parallel Title: Proceedings: Mathematical, Physical and Engineering Sciences Publisher: Royal Society Publishing, London ISSN: 1364-5021; 1471-2946/e Online: http://rspa.royalsocietypublishing.org/http://www.jstor.org/journals/13645021.html Predecessor: Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences Successor: Proceedings A. Royal Society of London Comments: No longer indexed
 Documents Indexed: 2,600 Publications (1998–2014) References Indexed: 1,244 Publications with 28,817 References.
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### Latest Issues

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### Authors

 22 Straughan, Brian 20 Movchan, Alexander B. 19 McPhedran, Ross C. 16 Brody, Dorje C. 15 Craster, Richard V. 13 Hughston, Lane P. 12 Fokas, Athanassios S. 12 Fowler, Andrew C. 12 Mahadevan, Lakshminarayanan 11 Bassom, Andrew P. 11 Berry, Michael Victor 11 Brown, B. Malcolm 11 Crowdy, Darren Gregory 11 Fowler, Patrick W. 11 Rajagopal, Kumbakonam Ramamani 11 Schief, Wolfgang Karl 10 Milton, Graeme Walter 10 Ponte Castañeda, Pedro 9 Abrahams, I. David 9 Fraser, Wynstone Barrie 9 Gao, Huajian 9 Goriely, Alain 9 Hill, James Murray 9 Kaplunov, Julius D. 9 Lakhtakia, Akhlesh 9 Newton, Paul K. 9 Norris, Andrew N. 9 Ostoja-Starzewski, Martin 9 Shuvalov, Alexander L. 9 Tarnai, Tibor 9 Yang, Yisong 8 Bridges, Thomas J. 8 Davis, Anthony M. J. 8 Guest, Simon D. 8 Holm, Darryl Dallas 8 Hutter, Kolumban 8 Jordan, Pedro M. 8 Jozsa, Richard 8 Needham, David John 8 Saccomandi, Giuseppe 8 Sutcliffe, Paul Michael 8 Willis, John Raymond 7 Bhattacharya, Kaushik 7 Chandrasekar, V. K. 7 Lakshmanan, Muthusamy 7 Nicorovici, Nicolae-Alexandru P. 7 Price, W. Geraint 7 Quintanilla de Latorre, Ramón 7 Senthilvelan, Murugaian 7 Ting, Thomas C. T. 6 Abbott, Derek 6 Bartuccelli, Michele V. 6 Bigoni, Davide 6 Brevdo, Leonid 6 Caraballo Garrido, Tomás 6 Chatterjee, Anindya 6 Deane, Jonathan H. B. 6 Destrade, Michel 6 Dias, Frédéric 6 Gridin, Dmitri 6 Hanyga, Andrzej 6 Hunt, Giles W. 6 Hydon, Peter Ellsworth 6 Idiart, Martín I. 6 Jones, Ian S. 6 Karniadakis, George Em 6 Kloeden, Peter Eris 6 Leighton, Timothy G. 6 Liu, Caishan 6 Markenscoff, Xanthippi 6 Marletta, Marco 6 Ogden, Raymond William 6 Pelinovsky, Dmitry Efimovich 6 Poulton, Chris G. 6 Sakajo, Takashi 6 Srinivasa, Arun R. 6 Udwadia, Firdaus E. 6 Walden, Andrew T. 6 Wong, Roderick Sue-Chuen 6 Wu, Jianhong 5 Armi, Laurence 5 Ashwin, Peter 5 Avrutin, Viktor 5 Benveniste, Yakov 5 Botten, Lindsay C. 5 Budd, Christopher John 5 Cermelli, Paolo 5 Chadwick, Edmund A. 5 Chapman, C. J. 5 Chen, Tungyang 5 Coveney, Peter V. 5 Dennis, Mark R. 5 Evans, Dafydd 5 Fleck, Norman A. 5 Gentile, Guido 5 Hill, Antony A. 5 Johnson, Edward Robert 5 Keating, Jonathan Peter 5 King, John Robert 5 Kohn, Robert Vita ...and 3,386 more Authors
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### Fields

 790 Mechanics of deformable solids (74-XX) 710 Fluid mechanics (76-XX) 384 Partial differential equations (35-XX) 187 Quantum theory (81-XX) 186 Statistical mechanics, structure of matter (82-XX) 179 Dynamical systems and ergodic theory (37-XX) 158 Optics, electromagnetic theory (78-XX) 156 Geophysics (86-XX) 144 Biology and other natural sciences (92-XX) 138 Classical thermodynamics, heat transfer (80-XX) 136 Numerical analysis (65-XX) 132 Ordinary differential equations (34-XX) 120 Probability theory and stochastic processes (60-XX) 111 Mechanics of particles and systems (70-XX) 63 Information and communication theory, circuits (94-XX) 58 Statistics (62-XX) 58 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Computer science (68-XX) 47 Differential geometry (53-XX) 42 Relativity and gravitational theory (83-XX) 41 Systems theory; control (93-XX) 39 Operator theory (47-XX) 35 Special functions (33-XX) 29 Functions of a complex variable (30-XX) 27 Number theory (11-XX) 25 Global analysis, analysis on manifolds (58-XX) 25 Operations research, mathematical programming (90-XX) 24 Combinatorics (05-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 21 Approximations and expansions (41-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 19 Difference and functional equations (39-XX) 18 Astronomy and astrophysics (85-XX) 16 Functional analysis (46-XX) 16 Convex and discrete geometry (52-XX) 15 Integral equations (45-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Real functions (26-XX) 10 General and overarching topics; collections (00-XX) 10 Manifolds and cell complexes (57-XX) 8 Mathematical logic and foundations (03-XX) 8 Potential theory (31-XX) 7 Measure and integration (28-XX) 7 Integral transforms, operational calculus (44-XX) 5 History and biography (01-XX) 5 Algebraic geometry (14-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Algebraic topology (55-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX)

### Citations contained in zbMATH Open

2,191 Publications have been cited 22,355 times in 17,759 Documents Cited by Year
The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Zbl 0945.62093
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1998
On the scattering problem for the Camassa-Holm equation. Zbl 0999.35065
2001
Quasi-incompressible Cahn-Hilliard fluids and topological transitions. Zbl 0927.76007
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1998
A reaction-diffusion model for a single species with age structure. I: Travelling wavefronts on unbounded domains. Zbl 0999.92029
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2001
Strong and weak divergence in finite time of Euler’s method for stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1228.65014
Hutzenthaler, Martin; Jentzen, Arnulf; Kloeden, Peter E.
2011
Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309
Iserles, Arieh; Nørsett, Syvert P.
2005
A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids. Zbl 1149.76692
Mihăilescu, Mihai; Rădulescu, Vicenţiu
2006
Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments. Zbl 1222.65107
Zhang, Xiangxiong; Shu, Chi-Wang
2011
Flattening, squeezing and the existence of random attractors. Zbl 1133.37323
Kloeden, Peter E.; Langa, José A.
2007
On a Leray-$$\alpha$$ model of turbulence. Zbl 1145.76386
Cheskidov, Alexey; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
2005
Elastic surface-substrate interactions. Zbl 0926.74016
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1999
Non-convex potentials and microstructures in finite-strain plasticity. Zbl 1008.74016
Carstensen, Carsten; Hackl, Klaus; Mielke, Alexander
2002
Contagion in financial networks. Zbl 1193.91192
2010
General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation. Zbl 1364.76033
Ohta, Yasuhiro; Yang, Jianke
2012
Solution of the generalized Riemann problem for advection-reaction equations. Zbl 1019.35061
Toro, E. F.; Titarev, V. A.
2002
Travelling waves for delayed reaction-diffusion equations with global response. Zbl 1149.35368
Faria, Teresa; Huang, Wenzhang; Wu, Jianhong
2006
Quantum algorithms revisited. Zbl 0915.68050
Cleve, R.; Ekert, A.; Macchiavello, C.; Mosca, M.
1998
Low Mach number limit of viscous compressible flows in the whole space. Zbl 0934.76080
Desjardins, Benoit; Grenier, E.
1999
On the cloaking effects associated with anomalous localized resonance. Zbl 1149.00310
Milton, Graeme W.; Nicorovici, Nicolae-Alexandru P.
2006
Travelling waves of a diffusive Kermack-McKendrick epidemic model with non-local delayed transmission. Zbl 1195.35291
Wang, Zhi-Cheng; Wu, Jianhong
2010
A new test for chaos in deterministic systems. Zbl 1042.37060
Gottwald, Georg A.; Melbourne, Ian
2004
Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation. Zbl 0926.74062
Crisfield, Michael A.; Jelenić, Gordan
1999
Wavefronts and global stability in a time-delayed population model with stage structure. Zbl 1047.92037
Gourley, Stephen A.; Kuang, Yang
2003
On $$L^{p(x)}$$ norms. Zbl 0953.46018
Edmunds, D. E.; Lang, J.; Nekvinda, A.
1999
Cubature on Wiener space. Zbl 1055.60049
Lyons, Terry; Victoir, Nicolas
2004
On the response of non-dissipative solids. Zbl 1129.74010
Rajagopal, K. R.; Srinivasa, A. R.
2007
Generalized Hooke’s law for isotropic second gradient materials. Zbl 1186.74019
Dell’Isola, Francesco; Sciarra, G.; Vidoli, S.
2009
On modifications of Newton’s second law and linear continuum elastodynamics. Zbl 1347.74080
Milton, Graeme W.; Willis, John R.
2007
Quenched invariance principles for random walks on percolation clusters. Zbl 1131.82012
Mathieu, P.; Piatnitski, A.
2007
Gravity-driven free surface flow of granular avalanches over complex basal topography. Zbl 0951.76091
Gray, J. M. N. T.; Wieland, M.; Hutter, K.
1999
Solitary shock waves and other travelling waves in a general compressible hyperelastic rod. Zbl 1004.74046
Dai, Hui-Hui; Huo, Yi
2000
Numerical methods for strong solutions of stochastic differential equations: An overview. Zbl 1048.65004
Burrage, K.; Burrage, P. M.; Tian, T.
2004
High-frequency homogenization for periodic media. Zbl 1196.35038
Craster, R. V.; Kaplunov, J.; Pichugin, A. V.
2010
Constitutive modelling of arteries. Zbl 1197.74075
Holzapfel, Gerhard A.; Ogden, Ray W.
2010
Overcoming the order barrier in the numerical approximation of stochastic partial differential equations with additive space-time noise. Zbl 1186.65011
Jentzen, Arnulf; Kloeden, Peter E.
2009
On a class of non-dissipative materials that are not hyperelastic. Zbl 1186.74009
Rajagopal, K. R.; Srinivasa, A. R.
2009
On the role of entanglement in quantum-computational speed-up. Zbl 1092.81518
Jozsa, Richard; Linden, Noah
2003
Multi-fidelity optimization via surrogate modelling. Zbl 1142.90489
Forrester, Alexander I. J.; Sóbester, András; Keane, Andy J.
2007
A pseudo-elastic model for the Mullins effect in filled rubber. Zbl 0971.74011
Ogden, R. W.; Roxburgh, D. G.
1999
Quantum theory of probability and decisions. Zbl 0964.81003
Deutsch, David
1999
Continuum biomechanics of soft biological tissues. Zbl 1116.74385
Humphrey, J. D.
2003
Asymptotic behaviour of two-dimensional Navier-Stokes equations with delays. Zbl 1057.35027
Caraballo, Tomás; Real, José
2003
A radial basis function method for the shallow water equations on a sphere. Zbl 1186.76664
2009
Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders. Zbl 1195.91127
Düring, Bertram; Markowich, Peter; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
2009
Acoustic cloaking theory. Zbl 1186.74060
Norris, Andrew N.
2008
Navier-Stokes equations with delays. Zbl 1007.35062
Caraballo, Tomás; Real, José
2001
Reliable quantum computers. Zbl 0915.68051
Preskill, John
1998
Distillation of secret key and entanglement from quantum states. Zbl 1145.81325
Devetak, Igor; Winter, Andreas
2005
Nonlinear non-local elliptic equation modelling electrostatic actuation. Zbl 1143.78001
Lin, Fanghua; Yang, Yisong
2007
Solutions to the Eshelby conjectures. Zbl 1132.74010
Liu, L. P.
2008
A new phase-field model for strongly anisotropic systems. Zbl 1186.80014
Torabi, Solmaz; Lowengrub, John; Voigt, Axel; Wise, Steven
2009
Multidimensional solutions of time-fractional diffusion-wave equations. Zbl 1153.35347
Hanyga, Andrzej
2002
On thermomechanical restrictions of continua. Zbl 1041.74002
Rajagopal, K. R.; Srinivasa, A. R.
2004
An improved trigonometrically fitted P-stable Obrechkoff method for periodic initial-value problems. Zbl 1139.65310
Wang, Zhongcheng; Zhao, Deying; Dai, Yongming; Wu, Dongmei
2005
Two-dimensional linear partial differential equations in a convex polygon. Zbl 0988.35129
Fokas, A. S.
2001
Non-local elastic plate theories. Zbl 1138.74035
Lu, Pin; Zhang, P. Q.; Lee, H. P.; Wang, C. M.; Reddy, J. N.
2007
Eshelby formalism for nano-inhomogeneities. Zbl 1370.74068
Duan, H. L.; Wang, J.; Huang, Z. P.; Karihaloo, B. L.
2005
Growth and uniqueness in thermoelasticity. Zbl 0985.74018
Quintanilla, R.; Straughan, B.
2000
Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity. Zbl 0933.76091
Payne, L. E.; Song, J. C.; Straughan, B.
1999
On solutions of the Camassa-Holm equation. Zbl 1039.76006
Johnson, R. S.
2003
On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials. Zbl 1135.80005
Hackl, Klaus; Fischer, Franz Dieter
2008
Huygens’s clocks. Zbl 1026.01007
Bennett, Matthew; Schatz, Michael F.; Rockwood, Heidi; Wiesenfeld, Kurt
2002
Analytical formulae for the Kirchhoff-Routh path function in multiply connected domains. Zbl 1186.76630
Crowdy, Darren; Marshall, Jonathan
2005
Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: Derivation and analysis. Zbl 1041.76011
Madsen, P. A.; Bingham, H. B.; Schäffer, H. A.
2003
An introduction to white-noise theory and Malliavin calculus for fractional Brownian motion. Zbl 1043.60044
Biagini, Francesca; Øksendal, Bernt; Sulem, Agnés; Wallner, Naomi
2004
A Borg-Levinson theorem for trees. Zbl 1370.34051
Brown, B. M.; Weikard, R.
2005
Higher-order asymptotic homogenization and wave propagation in periodic composite materials. Zbl 1153.74024
2008
Symmetry of planar four-body convex central configurations. Zbl 1138.70006
Albouy, Alain; Fu, Yanning; Sun, Shanzhong
2008
Simple flows of fluids with pressure-dependent viscosities. Zbl 1052.76017
Hron, J.; Málek, J.; Rajagopal, K. R.
2001
A new look at the atomic level virial stress: on continuum-molecular system equivalence. Zbl 1060.81062
Zhou, Min
2003
An Euler-type method for the strong approximation of the Cox-Ingersoll-Ross process. Zbl 1364.65013
Dereich, Steffen; Neuenkirch, Andreas; Szpruch, Lukasz
2012
A stochastic pitchfork bifurcation in a reaction-diffusion equation. Zbl 0996.60070
Caraballo, Tomás; Langa, José A.; Robinson, James C.
2001
The unified transform method for the Sasa-Satsuma equation on the half-line. Zbl 1348.35249
Xu, Jian; Fan, Engui
2013
Periodic and decaying solutions in discrete nonlinear Schrödinger with saturable nonlinearity. Zbl 1186.35206
Pankov, Alexander; Rothos, Vassilis
2008
The multiple-soliton solution of the Camassa-Holm equation. Zbl 1068.35109
Li, Yishen; Zhang, Jin E.
2004
Hamiltonian long-wave expansions for water waves over a rough bottom. Zbl 1145.76325
Craig, Walter; Guyenne, Philippe; Nicholls, David P.; Sulem, Catherine
2005
On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations. Zbl 1186.34046
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2005
Multi-dimensional solutions of space-time-fractional diffusion equations. Zbl 0999.60035
Hanyga, Andrzej
2002
Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity. Zbl 0988.35032
Filippas, Stathis; Herrero, Miguel A.; Velázquez, Juan J. L.
2000
Pseudo-spectra, the harmonic oscillator and complex resonances. Zbl 0931.70016
Davies, E. B.
1999
Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations. Zbl 1186.35107
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
2009
An analysis of the fixation probability of a mutant on special classes of non-directed graphs. Zbl 1152.92341
Broom, M.; Rychtář, J.
2008
A note on discontinuity waves in type III thermoelasticity. Zbl 1070.74024
Quintanilla, R.; Straughan, B.
2004
Domain-decomposition method for the global dynamics of delay differential equations with unimodal feedback. Zbl 1137.34038
Röst, Gergely; Wu, Jianhong
2007
Time distributed-order diffusion-wave equation. I. Volterra-type equation. Zbl 1186.35106
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
2009
Controlling the error growth in long-term numerical integration of perturbed oscillations in one or several frequencies. Zbl 1041.65058
Vigo-Aguiar, J.; Simos, T. E.; Ferrándiz, J. M.
2004
A theory for particle size segregation in shallow granular free-surface flows. Zbl 1145.76461
Gray, J. M. N. T.; Thornton, A. R.
2005
A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance. Zbl 1255.78002
Milton, Graeme W.; Nicorovici, Nicolae-Alexandru P.; McPhedran, Ross C.; Podolskiy, Viktor A.
2005
Symmetries and first integrals of ordinary difference equations. Zbl 0991.39005
Hydon, P. E.
2000
The two-scale convergence method applied to generalized Besicovitch spaces. Zbl 1099.35010
2002
The Föppl-von Kármán equations for plates with incompatible strains. Zbl 1219.74027
2011
Structural stability for the Darcy equations of flow in porous media. Zbl 0912.76088
Payne, L. E.; Straughan, B.
1998
Spreading speeds and travelling waves for non-monotone time-delayed lattice equations. Zbl 1190.35222
Fang, Jian; Wei, Junjie; Zhao, Xiao-Qiang
2010
The Schwarz-Christoffel mapping to bounded multiply connected polygonal domains. Zbl 1186.30005
Crowdy, Darren
2005
Global nonlinear stability in porous convection with a thermal non-equilibrium model. Zbl 1149.76626
Straughan, B.
2006
Geostatistics of extremes. Zbl 1364.86020
Davison, A. C.; Gholamrezaee, M. M.
2012
Boundary element analysis for the Helmholtz eigenvalue problems with a multiply connected domain. Zbl 0993.78021
Chen, J. T.; Lin, J. H.; Kuo, S. R.; Chyuan, S. W.
2001
Expansion formulae in wave structure interaction problems. Zbl 1149.76611
Manam, S. R.; Bhattacharjee, J.; Sahoo, T.
2006
On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier-Stokes equations. Zbl 1149.35397
Caraballo, Tomás; Real, José; Taniguchi, Takeshi
2006
Anti-self-dual four-manifolds with a parallel real spinor. Zbl 1006.53040
Dunajski, Maciej
2002
Numerical study of fractional nonlinear Schrödinger equations. Zbl 1372.65284
Klein, Christian; Sparber, Christof; Markowich, Peter
2014
Can Bohmian mechanics be made relativistic? Zbl 1348.81341
Dürr, Detlef; Goldstein, Sheldon; Norsen, Travis; Struyve, Ward; Zanghì, Nino
2014
Chiral skyrmions in the plane. Zbl 1371.81320
Melcher, Christof
2014
Convolutionless Nakajima-Zwanzig equations for stochastic analysis in nonlinear dynamical systems. Zbl 1371.60119
2014
Theoretical and experimental evidence of non-symmetric doubly localized rogue waves. Zbl 1371.76031
He, Jingsong; Guo, Lijuan; Zhang, Yongshuai; Chabchoub, Amin
2014
Gaussian solitary waves and compactons in Fermi-pasta-Ulam lattices with Hertzian potentials. Zbl 1371.37130
James, Guillaume; Pelinovsky, Dmitry
2014
A depth-averaged debris-flow model that includes the effects of evolving dilatancy. I: Physical basis. Zbl 1371.86008
Iverson, Richard M.; George, David L.
2014
Gravity perturbed Crapper waves. Zbl 1371.76038
Akers, Benjamin F.; Ambrose, David M.; Wright, J. Douglas
2014
Modelling rogue waves through exact dynamical lump soliton controlled by ocean currents. Zbl 1371.86010
Kundu, Anjan; Mukherjee, Abhik; Naskar, Tapan
2014
Thermo-poromechanics of a fluid-filled cavity in a fluid-saturated geomaterial. Zbl 1348.76164
Selvadurai, A. P. S.; Suvorov, A. P.
2014
Linear theory for filtering nonlinear multiscale systems with model error. Zbl 1371.60068
Berry, Tyrus; Harlim, John
2014
Numerical study of interfacial solitary waves propagating under an elastic sheet. Zbl 1371.76040
Wang, Zhan; Părău, Emilian I.; Milewski, Paul A.; Vanden-Broeck, Jean-Marc
2014
Multiscale instabilities in soft heterogeneous dielectric elastomers. Zbl 1348.74114
Rudykh, S.; Bhattacharya, K.; deBotton, G.
2014
A dynamical systems view of network centrality. Zbl 1371.90039
Grindrod, Peter; Higham, Desmond J.
2014
Causal dissipation and shock profiles in the relativistic fluid dynamics of pure radiation. Zbl 1371.76167
Freistühler, Heinrich; Temple, Blake
2014
Buckling of a soap film spanning a flexible loop resistant to bending and twisting. Zbl 1371.53006
Biria, Aisa; Fried, Eliot
2014
Nucleation and particle growth with fluctuating rates at the intermediate stage of phase transitions in metastable systems. Zbl 1348.82059
Alexandrov, D. V.; Nizovtseva, I. G.
2014
When does a physical system compute? Zbl 1353.68077
Horsman, Clare; Stepney, Susan; Wagner, Rob C.; Kendon, Viv
2014
Bifurcation analysis of delay-induced resonances of the El-Niño southern oscillation. Zbl 1320.86004
Krauskopf, Bernd; Sieber, Jan
2014
Mixed variational potentials and inherent symmetries of the Cahn-Hilliard theory of diffusive phase separation. Zbl 1372.65272
Miehe, C.; Hildebrand, F. E.; Böger, L.
2014
A quantum prisoner’s dilemma cellular automaton. Zbl 1371.81033
Alonso-Sanz, Ramón
2014
From molecular dynamics to Brownian dynamics. Zbl 1371.60144
2014
A tale of two distributions: from few to many vortices in quasi-two-dimensional Bose-Einstein condensates. Zbl 1371.82060
Kolokolnikov, T.; Kevrekidis, P. G.; Carretero-González, R.
2014
The geometry of discombinations and its applications to semi-inverse problems in anelasticity. Zbl 1320.74023
Yavari, Arash; Goriely, Alain
2014
On ill-posedness of truncated series models for water waves. Zbl 1371.35210
Ambrose, David M.; Bona, Jerry L.; Nicholls, David P.
2014
Integrable and superintegrable systems associated with multi-sums of products. Zbl 1371.37131
van der Kamp, Peter H.; Kouloukas, Theodoros E.; Quispel, G. R. W.; Tran, Dinh T.; Vanhaecke, Pol
2014
What is integrability of discrete variational systems? Zbl 1365.37053
Boll, Raphael; Petrera, Matteo; Suris, Yuri B.
2014
Parameter estimation for energy balance models with memory. Zbl 1320.86007
Roques, Lionel; Chekroun, Mickaël D.; Cristofol, Michel; Soubeyrand, Samuel; Ghil, Michael
2014
A trapezoidal rule error bound unifying the Euler-Maclaurin formula and geometric convergence for periodic functions. Zbl 1372.65068
Javed, Mohsin; Trefethen, Lloyd N.
2014
Asymptotic behaviour of Stokes flow in a thin domain with a moving rough boundary. Zbl 1371.76057
Fabricius, J.; Koroleva, Y. O.; Tsandzana, A.; Wall, P.
2014
Statistical analysis and simulation of random shocks in stochastic Burgers equation. Zbl 1371.76081
Cho, Heyrim; Venturi, Daniele; Karniadakis, George E.
2014
A depth-averaged debris-flow model that includes the effects of evolving dilatancy. II: Numerical predictions and experimental tests. Zbl 1371.86007
George, David L.; Iverson, Richard M.
2014
Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions. Zbl 1348.65063
Yunus, A. A. M.; Murid, A. H. M.; Nasser, M. M. S.
2014
Interplay of symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in integrable second-order differential equations. Zbl 1359.34004
Mohanasubha, R.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2014
An elastica arm scale. Zbl 1320.74066
Bosi, F.; Misseroni, D.; Dal Corso, F.; Bigoni, D.
2014
Order reconstruction patterns in nematic liquid crystal wells. Zbl 1320.82067
Kralj, Samo; Majumdar, Apala
2014
Transversally periodic solitary gravity-capillary waves. Zbl 1371.35222
Milewski, Paul A.; Wang, Zhan
2014
Straightening: existence, uniqueness and stability. Zbl 1371.74041
Destrade, M.; Ogden, R. W.; Sgura, I.; Vergori, L.
2014
Brittle fracture in a periodic structure with internal potential energy. Zbl 1371.74247
Mishuris, Gennady S.; Slepyan, Leonid I.
2014
Brittle fracture in a periodic structure with internal potential energy. Spontaneous crack propagation. Zbl 1371.74241
Ayzenberg-Stepanenko, Mark; Mishuris, Gennady; Slepyan, Leonid
2014
Inertial modes in a rotating triaxial ellipsoid. Zbl 1371.76157
Vantieghem, S.
2014
On acoustic and electric Faraday cages. Zbl 1371.78061
Martin, P. A.
2014
Auxetic two-dimensional lattices with Poisson’s ratio arbitrarily close to $$-1$$. Zbl 1371.74074
Cabras, Luigi; Brun, Michele
2014
Multi-time equations, classical and quantum. Zbl 1371.81246
Petrat, Sören; Tumulka, Roderich
2014
The Lie point symmetry generators admitted by systems of linear differential equations. Zbl 1371.58023
Gray, Robert J.
2014
Solving Wiener-Hopf problems without kernel factorization. Zbl 1371.45002
Crowdy, Darren G.; Luca, Elena
2014
Error bounds and exponential improvement for the asymptotic expansion of the Barnes $$G$$-function. Zbl 1371.33008
Nemes, Gergő
2014
Can small islands protect nearby coasts from tsunamis? An active experimental design approach. Zbl 1371.86015
Stefanakis, T. S.; Contal, E.; Vayatis, N.; Dias, F.; Synolakis, C. E.
2014
Singular Hopf bifurcation in a differential equation with large state-dependent delay. Zbl 1353.34086
Kozyreff, G.; Erneux, T.
2014
On the initial value problem for the wave equation in Friedmann-Robertson-Walker space-times. Zbl 1327.35366
Abbasi, Bilal; Craig, Walter
2014
Stiffest elastic networks. Zbl 1371.74230
Gurtner, Gérald; Durand, Marc
2014
Meniscus on a shaped fibre: singularities and hodograph formulation. Zbl 1371.76068
Alimov, Mars M.; Kornev, Konstantin G.
2014
On quantum and relativistic mechanical analogues in mean-field spin models. Zbl 1371.82139
Barra, Adriano; Di Lorenzo, Andrea; Guerra, Francesco; Moro, Antonio
2014
Exact pointer theories for von Neumann projector measurements of pre- and postselected and preselected-only quantum systems: statistical mixtures and weak value persistence. Zbl 1447.81020
Parks, A. D.; Spence, S. E.; Gray, J. E.
2014
Multiscale modelling of hydraulic conductivity in vuggy porous media. Zbl 1348.76144
Daly, K. R.; Roose, T.
2014
Rolling friction and energy dissipation in a spinning disc. Zbl 1348.74251
Ma, Daolin; Liu, Caishan; Zhao, Zhen; Zhang, Hongjian
2014
Numerical solutions of ideal quantum gas dynamical flows governed by semiclassical ellipsoidal-statistical distribution. Zbl 1371.82091
Yang, Jaw-Yen; Yan, Chih-Yuan; Diaz, Manuel; Huang, Juan-Chen; Li, Zhihui; Zhang, Hanxin
2014
Modelling elastic structures with strong nonlinearities with application to stick-slip friction. Zbl 1371.74223
Szalai, Robert
2014
Improved multimodal admittance method in varying cross section waveguides. Zbl 1371.76121
Maurel, Agnès; Mercier, Jean-François; Pagneux, Vincent
2014
Extended weak maximum principles for parabolic partial differential inequalities on unbounded domains. Zbl 1371.35141
Meyer, J. C.; Needham, D. J.
2014
Long-term behaviour of phenotypically structured models. Zbl 1371.92087
Lorz, Alexander; Perthame, Benoît
2014
Entropy meters and the entropy of non-extensive systems. Zbl 1371.80005
Lieb, Elliott H.; Yngvason, Jakob
2014
Non-smooth Hopf-type bifurcations arising from impact-friction contact events in rotating machinery. Zbl 1371.70006
Mora, Karin; Budd, Chris; Glendinning, Paul; Keogh, Patrick
2014
Nonlinear analysis of thermally and electrically actuated functionally graded material microbeam. Zbl 1348.74270
Li, Yingli; Meguid, S. A.; Fu, Yiming; Xu, Daolin
2014
A continuum hyperelastic model for auxetic materials. Zbl 1348.74047
Ciambella, J.; Saccomandi, G.
2014
Cones of localized shear strain in incompressible elasticity with prestress: Green’s function and integral representations. Zbl 1348.74043
Argani, L. P.; Bigoni, D.; Capuani, D.; Movchan, N. V.
2014
Relaxation of the single-slip condition in strain-gradient plasticity. Zbl 1348.74070
Anguige, Keith; Dondl, Patrick W.
2014
Constitutive modelling of magnetic shape memory alloys with discrete and continuous symmetries. Zbl 1348.74071
Haldar, K.; Lagoudas, D. C.
2014
On bifurcations in lifts of regular uniform coupled cell networks. Zbl 1320.37025
Moreira, Célia Sofia
2014
Differential equations with general highly oscillatory forcing terms. Zbl 1371.34083
Condon, M.; Iserles, A.; Nørsett, S. P.
2014
Subglacial hydrology and the formation of ice streams. Zbl 1371.86011
Kyrke-Smith, T. M.; Katz, R. F.; Fowler, A. C.
2014
Wave farm modelling of oscillating wave surge converters. Zbl 1371.76033
Sarkar, Dripta; Renzi, Emiliano; Dias, Frederic
2014
A new anisotropic fractional model of diffusion suitable for applications of diffusion tensor imaging in biological tissues. Zbl 1371.92073
Hanyga, Andrzej; Magin, Richard L.
2014
A haemodynamic predictor of intraluminal thrombus formation in abdominal aortic aneurysms. Zbl 1371.92060
Di Achille, P.; Tellides, G.; Figueroa, C. A.; Humphrey, J. D.
2014
Variational necessary and sufficient stability conditions for inviscid shear flow. Zbl 1371.76073
Hirota, M.; Morrison, P. J.; Hattori, Y.
2014
A compressible multiphase flow model for violent aerated wave impact problems. Zbl 1371.76147
Ma, Z. H.; Causon, D. M.; Qian, L.; Mingham, C. G.; Gu, H. B.; Martínez Ferrer, P.
2014
Exactification of the Poincaré asymptotic expansion of the Hankel integral: spectacularly accurate asymptotic expansions and non-asymptotic scales. Zbl 1348.33004
Galapon, Eric A.; Martinez, Kay Marie L.
2014
Multiple steadily translating bubbles in a Hele-Shaw channel. Zbl 1348.76069
Green, Christopher C.; Vasconcelos, Giovani L.
2014
The sliding contact of a rigid wavy surface with a viscoelastic half-space. Zbl 1348.74256
Menga, N.; Putignano, C.; Carbone, G.; Demelio, G. P.
2014
Nonlinear Poisson effects in soft honeycombs. Zbl 1348.74237
Mihai, L. Angela; Goriely, Alain
2014
Pure rotation of a prism on a ramp. Zbl 1320.70004
Zhao, Zhen; Liu, Caishan; Ma, Daolin
2014
Hydrodynamic persistence within very dilute two-dimensional suspensions of squirmers. Zbl 1371.76178
Clarke, R. J.; Finn, M. D.; MacDonald, M.
2014
Cellular buckling in stiffened plates. Zbl 1371.74182
2014
Instability of quantum equilibrium in Bohm’s dynamics. Zbl 1371.81187
Colin, Samuel; Valentini, Antony
2014
Subglacial swamps. Zbl 1371.86034
Kyrke-Smith, T. M.; Fowler, A. C.
2014
Guaranteed resonance enclosures and exclosures for atoms and molecules. Zbl 1371.81347
Bögli, Sabine; Brown, B. Malcolm; Marletta, Marco; Tretter, Christiane; Wagenhofer, Markus
2014
A remark on constrained von Kármán theories. Zbl 1371.74193
Hornung, Peter
2014
Squeezing of arbitrary order: the ups and downs. Zbl 1371.81037
Górska, Katarzyna; Horzela, Andrzej; Szafraniec, Franciszek Hugon
2014
Hamiltonian formalism of two-dimensional Vlasov kinetic equation. Zbl 1371.76148
Pavlov, Maxim V.
2014
Symmetry relations in viscoplastic drag laws. Zbl 1371.76007
Kamrin, K.; Goddard, J. D.
2014
Integrable discretization of hodograph-type systems hyperelliptic integrals and Whitham equations. Zbl 1371.35185
Konopelchenko, B. G.; Schief, W. K.
2014
Mechanics of elastic networks. Zbl 1371.74231
Norris, Andrew N.
2014
Fourier, hyperbolic and relativistic heat transfer equations: a comparative analytical study. Zbl 1371.80019
López Molina, Juan A.; Rivera, María J.; Berjano, Enrique
2014
The fields and self-force of a constantly accelerating spherical shell. Zbl 1372.78011
Steane, Andrew M.
2014
On the acoustics of an impedance liner with shear and cross flow. Zbl 1348.76130
Campos, L. M. B. C.; Legendre, C.; Sambuc, C.
2014
Gelfand-type problem for two-phase porous media. Zbl 1348.35095
Gordon, Peter V.; Moroz, Vitaly
2014
On the description of subsystems in relativistic hypersurface Bohmian mechanics. Zbl 1320.81063
Dürr, Detlef; Lienert, Matthias
2014
An electrical analogy for the Pentland firth tidal stream power resource. Zbl 1371.86006
Draper, Scott; Adcock, Thomas A. A.; Borthwick, Alistair G. L.; Houlsby, Guy T.
2014
Plasticity and non-Schmid effects. Zbl 1371.82133
Soare, Stefan C.
2014
An asymptotic theory for waves guided by diffraction gratings or along microstructured surfaces. Zbl 1371.78101
Antonakakis, T.; Craster, R. V.; Guenneau, S.; Skelton, E. A.
2014
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### Cited by 21,889 Authors

 84 Rajagopal, Kumbakonam Ramamani 71 Yin, Zhaoyang 64 Quintanilla de Latorre, Ramón 61 Wang, Xu 56 Straughan, Brian 55 Schiavone, Peter 42 Goriely, Alain 41 Movchan, Alexander B. 41 Wang, Bixiang 40 Dumbser, Michael 39 Fokas, Athanassios S. 37 Kloeden, Peter Eris 36 Crowdy, Darren Gregory 36 Simos, Theodore E. 36 Steinmann, Paul 34 Li, Wan-Tong 33 Craster, Richard V. 32 Saccomandi, Giuseppe 31 Kaplunov, Julius D. 31 Rădulescu, Vicenţiu D. 31 Tachim Medjo, Theodore 30 Málek, Josef 30 Milton, Graeme Walter 30 Xiang, Shuhuang 29 Gray, John Mark Nicholas Timm 29 Ponte Castañeda, Pedro 29 Rogers, Colin 28 Caraballo Garrido, Tomás 28 Neff, Patrizio 28 Ostoja-Starzewski, Martin 27 Bustamante, Roger 27 Mihăilescu, Mihai 27 Nicholls, David P. 27 Shu, Chi-Wang 25 Hill, James Murray 25 Miranville, Alain M. 25 Toro, Eleuterio F. 24 Eremeyev, Victor A. 24 Guo, Boling 24 Hackl, Klaus 24 Mosler, Jörn 24 Shen, Jie 24 Zohdi, Tarek I. 23 Brody, Dorje C. 23 Conti, Sergio 23 Feireisl, Eduard 23 He, Jingsong 23 Lakshmanan, Muthusamy 23 Mishuris, Gennady S. 23 Nguyen, Hoai-Minh 23 Pelinovsky, Dmitry Efimovich 23 Qian, Tao 23 Senthilvelan, Murugaian 23 Shuvalov, Alexander L. 22 Liu, Yue 22 Schief, Wolfgang Karl 22 Wang, Xiaojie 22 Wang, Zhi Cheng 21 Abrahams, I. David 21 Horgan, Cornelius Oliver 21 Jentzen, Arnulf 21 Kang, Hyeonbae 21 Ogden, Raymond William 21 Parnell, William J. 21 Vynnycky, Michael 21 Yang, Xiaofeng 21 Yavari, Arash 21 Yuan, Rong 20 Bridges, Thomas J. 20 Chandler-Wilde, Simon N. 20 Colombo, Fabrizio 20 DeSimone, Antonio 20 Destrade, Michel 20 Jordan, Pedro M. 20 Karniadakis, George Em 20 Liu, Hongyu 20 Miehe, Christian 20 Reddy, Junuthula Narasimha 20 Sakajo, Takashi 20 Tian, Lixin 20 Yang, Jianke 20 Zhou, Shouming 19 Acharya, Amit 19 Andrianov, Igor V. 19 Javili, Ali 19 Llibre, Jaume 19 Lowengrub, John Samuel 19 Madeo, Angela 19 Real Anguas, José 19 Venturi, Daniele 19 Wu, Shiliang 18 Balsara, Dinshaw S. 18 Chandrasekar, V. K. 18 Fu, Yongqiang 18 Holm, Darryl Dallas 18 Li, Yangrong 18 Mi, Yongsheng 18 Mielke, Alexander 18 Xiao, Heng 18 Yurko, Vjacheslav Anatoljevich ...and 21,789 more Authors
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### Cited in 878 Journals

 648 Journal of Fluid Mechanics 521 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 447 Journal of Computational Physics 351 Journal of Mathematical Physics 338 Journal of Mathematical Analysis and Applications 330 Journal of the Mechanics and Physics of Solids 320 Acta Mechanica 294 International Journal of Engineering Science 293 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 290 Wave Motion 286 Computer Methods in Applied Mechanics and Engineering 268 Applied Mathematics and Computation 259 Physica D 256 Journal of Differential Equations 244 Journal of Computational and Applied Mathematics 242 Mathematics and Mechanics of Solids 210 ZAMP. Zeitschrift für angewandte Mathematik und Physik 208 Journal of Elasticity 205 European Journal of Mechanics. A. Solids 191 Physics of Fluids 185 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 163 Applied Mathematical Modelling 159 Journal of Engineering Mathematics 140 Continuum Mechanics and Thermodynamics 131 Nonlinear Analysis. Real World Applications 130 International Journal of Solids and Structures 129 Journal of Scientific Computing 128 Communications in Mathematical Physics 128 Nonlinear Dynamics 124 Computational Mechanics 120 Engineering Analysis with Boundary Elements 116 SIAM Journal on Applied Mathematics 115 Chaos, Solitons and Fractals 112 Computers & Mathematics with Applications 112 Quantum Information Processing 111 Chaos 108 Archive for Rational Mechanics and Analysis 108 European Journal of Mechanics. B. Fluids 107 Communications in Nonlinear Science and Numerical Simulation 106 Journal of Nonlinear Science 103 Computers and Fluids 100 Discrete and Continuous Dynamical Systems 98 Physica A 97 International Journal of Theoretical Physics 96 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 95 Discrete and Continuous Dynamical Systems. Series B 91 New Journal of Physics 89 Applicable Analysis 88 Mathematical Methods in the Applied Sciences 88 Meccanica 83 International Journal for Numerical Methods in Engineering 82 Journal of Mathematical Chemistry 82 Foundations of Physics 80 Physics Letters. A 79 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 78 Applied Numerical Mathematics 76 Mathematical Problems in Engineering 76 Journal of Theoretical Biology 71 Applied Mathematics Letters 70 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 69 SIAM Journal on Mathematical Analysis 67 Nonlinearity 63 Journal of Statistical Physics 63 Communications on Pure and Applied Analysis 62 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 61 Journal of Geometry and Physics 60 Journal of Dynamics and Differential Equations 60 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 60 Journal of Physics A: Mathematical and Theoretical 57 Abstract and Applied Analysis 57 Journal of Nonlinear Mathematical Physics 55 Journal of Mathematical Biology 53 Journal of Functional Analysis 53 SIAM Journal on Scientific Computing 52 Studies in Applied Mathematics 52 Calculus of Variations and Partial Differential Equations 52 Journal of High Energy Physics 48 Numerical Algorithms 48 Stochastic Processes and their Applications 48 Journal of Mathematical Sciences (New York) 48 Advances in Difference Equations 47 BIT 46 Theoretical and Mathematical Physics 46 Quarterly of Applied Mathematics 45 Acta Mechanica Sinica 44 Proceedings of the American Mathematical Society 44 International Journal of Quantum Information 43 Mathematics and Computers in Simulation 43 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 42 Numerische Mathematik 41 Archive of Applied Mechanics 41 SIAM Journal on Applied Dynamical Systems 41 Complex Variables and Elliptic Equations 40 SIAM Journal on Numerical Analysis 39 European Journal of Applied Mathematics 39 Multibody System Dynamics 39 Journal of Mathematical Fluid Mechanics 39 Discrete and Continuous Dynamical Systems. Series S 38 Linear Algebra and its Applications 37 Mathematics of Computation ...and 778 more Journals
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### Cited in 61 Fields

 5,054 Partial differential equations (35-XX) 4,361 Mechanics of deformable solids (74-XX) 3,952 Fluid mechanics (76-XX) 2,447 Numerical analysis (65-XX) 1,461 Dynamical systems and ergodic theory (37-XX) 1,340 Quantum theory (81-XX) 1,236 Probability theory and stochastic processes (60-XX) 1,199 Ordinary differential equations (34-XX) 1,198 Biology and other natural sciences (92-XX) 849 Statistical mechanics, structure of matter (82-XX) 668 Mechanics of particles and systems (70-XX) 571 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 521 Optics, electromagnetic theory (78-XX) 519 Classical thermodynamics, heat transfer (80-XX) 438 Geophysics (86-XX) 429 Information and communication theory, circuits (94-XX) 408 Computer science (68-XX) 404 Operator theory (47-XX) 402 Calculus of variations and optimal control; optimization (49-XX) 400 Statistics (62-XX) 397 Systems theory; control (93-XX) 344 Differential geometry (53-XX) 301 Relativity and gravitational theory (83-XX) 222 Functions of a complex variable (30-XX) 216 Global analysis, analysis on manifolds (58-XX) 207 Real functions (26-XX) 207 Special functions (33-XX) 207 Approximations and expansions (41-XX) 206 Integral equations (45-XX) 189 Operations research, mathematical programming (90-XX) 182 Difference and functional equations (39-XX) 180 Functional analysis (46-XX) 174 Harmonic analysis on Euclidean spaces (42-XX) 155 Combinatorics (05-XX) 153 Number theory (11-XX) 153 Linear and multilinear algebra; matrix theory (15-XX) 84 Convex and discrete geometry (52-XX) 76 Measure and integration (28-XX) 75 Astronomy and astrophysics (85-XX) 71 Integral transforms, operational calculus (44-XX) 69 General and overarching topics; collections (00-XX) 64 Algebraic geometry (14-XX) 53 Potential theory (31-XX) 51 Mathematical logic and foundations (03-XX) 46 History and biography (01-XX) 44 Manifolds and cell complexes (57-XX) 35 Several complex variables and analytic spaces (32-XX) 34 Associative rings and algebras (16-XX) 31 Geometry (51-XX) 29 Topological groups, Lie groups (22-XX) 26 Nonassociative rings and algebras (17-XX) 23 Sequences, series, summability (40-XX) 13 Group theory and generalizations (20-XX) 12 Commutative algebra (13-XX) 12 Algebraic topology (55-XX) 8 Abstract harmonic analysis (43-XX) 7 Category theory; homological algebra (18-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Field theory and polynomials (12-XX) 5 General topology (54-XX) 4 Mathematics education (97-XX)