## 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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### 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 D. 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 3,382 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

2,185 Publications have been cited 21,719 times in 17,227 Documents Cited by Year
On the scattering problem for the Camassa-Holm equation. Zbl 0999.35065
2001
The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Zbl 0945.62093
Huang, Norden E.; Shen, Zheng; Long, Steven R.; Wu, Manli C.; Shih, Hsing H.; Zheng, Quanan; Yen, Nai-Chyuan; Tung, Chi Chao; Liu, Henry H.
1998
Quasi-incompressible Cahn-Hilliard fluids and topological transitions. Zbl 0927.76007
Lowengrub, J.; Truskinovsky, L.
1998
A reaction-diffusion model for a single species with age structure. I: Travelling wavefronts on unbounded domains. Zbl 0999.92029
So, Joseph W.-H.; Wu, Jianhong; Zou, Xingfu
2001
A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids. Zbl 1149.76692
Mihăilescu, Mihai; Rădulescu, Vicenţiu
2006
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
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
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
Non-convex potentials and microstructures in finite-strain plasticity. Zbl 1008.74016
Carstensen, Carsten; Hackl, Klaus; Mielke, Alexander
2002
Elastic surface-substrate interactions. Zbl 0926.74016
Steigmann, D. J.; Ogden, R. W.
1999
Solution of the generalized Riemann problem for advection-reaction equations. Zbl 1019.35061
Toro, E. F.; Titarev, V. A.
2002
General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation. Zbl 1364.76033
Ohta, Yasuhiro; Yang, Jianke
2012
Contagion in financial networks. Zbl 1193.91192
2010
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
On the cloaking effects associated with anomalous localized resonance. Zbl 1149.00310
Milton, Graeme W.; Nicorovici, Nicolae-Alexandru P.
2006
Low Mach number limit of viscous compressible flows in the whole space. Zbl 0934.76080
Desjardins, Benoit; Grenier, E.
1999
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
On $$L^{p(x)}$$ norms. Zbl 0953.46018
Edmunds, D. E.; Lang, J.; Nekvinda, A.
1999
Wavefronts and global stability in a time-delayed population model with stage structure. Zbl 1047.92037
Gourley, Stephen A.; Kuang, Yang
2003
Cubature on Wiener space. Zbl 1055.60049
Lyons, Terry; Victoir, Nicolas
2004
Generalized Hooke’s law for isotropic second gradient materials. Zbl 1186.74019
Dell’Isola, Francesco; Sciarra, G.; Vidoli, S.
2009
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
Numerical methods for strong solutions of stochastic differential equations: An overview. Zbl 1048.65004
Burrage, K.; Burrage, P. M.; Tian, T.
2004
Solitary shock waves and other travelling waves in a general compressible hyperelastic rod. Zbl 1004.74046
Dai, Hui-Hui; Huo, Yi
2000
High-frequency homogenization for periodic media. Zbl 1196.35038
Craster, R. V.; Kaplunov, J.; Pichugin, A. V.
2010
On the response of non-dissipative solids. Zbl 1129.74010
Rajagopal, K. R.; Srinivasa, A. R.
2007
On modifications of Newton’s second law and linear continuum elastodynamics. Zbl 1347.74080
Milton, Graeme W.; Willis, John R.
2007
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
Multi-fidelity optimization via surrogate modelling. Zbl 1142.90489
Forrester, Alexander I. J.; Sóbester, András; Keane, Andy J.
2007
Continuum biomechanics of soft biological tissues. Zbl 1116.74385
Humphrey, J. D.
2003
On the role of entanglement in quantum-computational speed-up. Zbl 1092.81518
Jozsa, Richard; Linden, Noah
2003
Quantum theory of probability and decisions. Zbl 0964.81003
Deutsch, David
1999
Acoustic cloaking theory. Zbl 1186.74060
Norris, Andrew N.
2008
On a class of non-dissipative materials that are not hyperelastic. Zbl 1186.74009
Rajagopal, K. R.; Srinivasa, A. R.
2009
A radial basis function method for the shallow water equations on a sphere. Zbl 1186.76664
2009
Reliable quantum computers. Zbl 0915.68051
Preskill, John
1998
Asymptotic behaviour of two-dimensional Navier-Stokes equations with delays. Zbl 1057.35027
Caraballo, Tomás; Real, José
2003
A pseudo-elastic model for the Mullins effect in filled rubber. Zbl 0971.74011
Ogden, R. W.; Roxburgh, D. G.
1999
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
Distillation of secret key and entanglement from quantum states. Zbl 1145.81325
Devetak, Igor; Winter, Andreas
2005
Navier-Stokes equations with delays. Zbl 1007.35062
Caraballo, Tomás; Real, José
2001
Non-local elastic plate theories. Zbl 1138.74035
Lu, Pin; Zhang, P. Q.; Lee, H. P.; Wang, C. M.; Reddy, J. N.
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
Nonlinear non-local elliptic equation modelling electrostatic actuation. Zbl 1143.78001
Lin, Fanghua; Yang, Yisong
2007
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
Growth and uniqueness in thermoelasticity. Zbl 0985.74018
Quintanilla, R.; Straughan, B.
2000
Two-dimensional linear partial differential equations in a convex polygon. Zbl 0988.35129
Fokas, A. S.
2001
Eshelby formalism for nano-inhomogeneities. Zbl 1370.74068
Duan, H. L.; Wang, J.; Huang, Z. P.; Karihaloo, B. L.
2005
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
Huygens’s clocks. Zbl 1026.01007
Bennett, Matthew; Schatz, Michael F.; Rockwood, Heidi; Wiesenfeld, Kurt
2002
On solutions of the Camassa-Holm equation. Zbl 1039.76006
Johnson, R. S.
2003
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
Analytical formulae for the Kirchhoff-Routh path function in multiply connected domains. Zbl 1186.76630
Crowdy, Darren; Marshall, Jonathan
2005
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
Symmetry of planar four-body convex central configurations. Zbl 1138.70006
Albouy, Alain; Fu, Yanning; Sun, Shanzhong
2008
A Borg-Levinson theorem for trees. Zbl 1370.34051
Brown, B. M.; Weikard, R.
2005
Simple flows of fluids with pressure-dependent viscosities. Zbl 1052.76017
Hron, J.; Málek, J.; Rajagopal, K. R.
2001
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
Higher-order asymptotic homogenization and wave propagation in periodic composite materials. Zbl 1153.74024
2008
A stochastic pitchfork bifurcation in a reaction-diffusion equation. Zbl 0996.60070
Caraballo, Tomás; Langa, José A.; Robinson, James C.
2001
A new look at the atomic level virial stress: on continuum-molecular system equivalence. Zbl 1060.81062
Zhou, Min
2003
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
Multi-dimensional solutions of space-time-fractional diffusion equations. Zbl 0999.60035
Hanyga, Andrzej
2002
An Euler-type method for the strong approximation of the Cox-Ingersoll-Ross process. Zbl 1364.65013
Dereich, Steffen; Neuenkirch, Andreas; Szpruch, Lukasz
2012
Pseudo-spectra, the harmonic oscillator and complex resonances. Zbl 0931.70016
Davies, E. B.
1999
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
An analysis of the fixation probability of a mutant on special classes of non-directed graphs. Zbl 1152.92341
Broom, M.; Rychtář, J.
2008
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
The unified transform method for the Sasa-Satsuma equation on the half-line. Zbl 1348.35249
Xu, Jian; Fan, Engui
2013
Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations. Zbl 1186.35107
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
2009
A note on discontinuity waves in type III thermoelasticity. Zbl 1070.74024
Quintanilla, R.; Straughan, B.
2004
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
Domain-decomposition method for the global dynamics of delay differential equations with unimodal feedback. Zbl 1137.34038
Röst, Gergely; Wu, Jianhong
2007
Symmetries and first integrals of ordinary difference equations. Zbl 0991.39005
Hydon, P. E.
2000
Spreading speeds and travelling waves for non-monotone time-delayed lattice equations. Zbl 1190.35222
Fang, Jian; Wei, Junjie; Zhao, Xiao-Qiang
2010
A theory for particle size segregation in shallow granular free-surface flows. Zbl 1145.76461
Gray, J. M. N. T.; Thornton, A. R.
2005
The Schwarz-Christoffel mapping to bounded multiply connected polygonal domains. Zbl 1186.30005
Crowdy, Darren
2005
Time distributed-order diffusion-wave equation. I. Volterra-type equation. Zbl 1186.35106
Atanackovic, Teodor M.; Pilipovic, Stevan; Zorica, Dusan
2009
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
Anti-self-dual four-manifolds with a parallel real spinor. Zbl 1006.53040
Dunajski, Maciej
2002
Structural stability for the Darcy equations of flow in porous media. Zbl 0912.76088
Payne, L. E.; Straughan, B.
1998
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
Geostatistics of extremes. Zbl 1364.86020
Davison, A. C.; Gholamrezaee, M. M.
2012
Global nonlinear stability in porous convection with a thermal non-equilibrium model. Zbl 1149.76626
Straughan, B.
2006
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
On steady flows of fluids with pressure- and shear-dependent viscosities. Zbl 1145.76311
Franta, M.; Málek, J.; Rajagopal, K. R.
2005
Expansion formulae in wave structure interaction problems. Zbl 1149.76611
Manam, S. R.; Bhattacharjee, J.; Sahoo, T.
2006
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
Thermo-poromechanics of a fluid-filled cavity in a fluid-saturated geomaterial. Zbl 1348.76164
Selvadurai, A. P. S.; Suvorov, A. P.
2014
Modelling rogue waves through exact dynamical lump soliton controlled by ocean currents. Zbl 1371.86010
Kundu, Anjan; Mukherjee, Abhik; Naskar, Tapan
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
Linear theory for filtering nonlinear multiscale systems with model error. Zbl 1371.60068
Berry, Tyrus; Harlim, John
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
Bifurcation analysis of delay-induced resonances of the El-Niño southern oscillation. Zbl 1320.86004
Krauskopf, Bernd; Sieber, Jan
2014
Gravity perturbed Crapper waves. Zbl 1371.76038
Akers, Benjamin F.; Ambrose, David M.; Wright, J. Douglas
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
Causal dissipation and shock profiles in the relativistic fluid dynamics of pure radiation. Zbl 1371.76167
Freistühler, Heinrich; Temple, Blake
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
Buckling of a soap film spanning a flexible loop resistant to bending and twisting. Zbl 1371.53006
Biria, Aisa; Fried, Eliot
2014
When does a physical system compute? Zbl 1353.68077
Horsman, Clare; Stepney, Susan; Wagner, Rob C.; Kendon, Viv
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
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
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
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
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
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
On acoustic and electric Faraday cages. Zbl 1371.78061
Martin, P. A.
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
Solving Wiener-Hopf problems without kernel factorization. Zbl 1371.45002
Crowdy, Darren G.; Luca, Elena
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
Rolling friction and energy dissipation in a spinning disc. Zbl 1348.74251
Ma, Daolin; Liu, Caishan; Zhao, Zhen; Zhang, Hongjian
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
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
Entropy meters and the entropy of non-extensive systems. Zbl 1371.80005
Lieb, Elliott H.; Yngvason, Jakob
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
Nonlinear analysis of thermally and electrically actuated functionally graded material microbeam. Zbl 1348.74270
Li, Yingli; Meguid, S. A.; Fu, Yiming; Xu, Daolin
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
Long-term behaviour of phenotypically structured models. Zbl 1371.92087
Lorz, Alexander; Perthame, Benoît
2014
Wave farm modelling of oscillating wave surge converters. Zbl 1371.76033
Sarkar, Dripta; Renzi, Emiliano; Dias, Frederic
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
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
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
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
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
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
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
The fields and self-force of a constantly accelerating spherical shell. Zbl 1372.78011
Steane, Andrew M.
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
On an instability exhibited by the ballistic-diffusive heat conduction model of Xu and Hu. Zbl 1371.80015
Christov, Ivan C.; Jordan, P. M.
2014
...and 1600 more Documents
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### Cited by 21,213 Authors

 81 Rajagopal, Kumbakonam Ramamani 70 Yin, Zhaoyang 63 Quintanilla de Latorre, Ramón 58 Wang, Xu 56 Straughan, Brian 52 Schiavone, Peter 41 Goriely, Alain 41 Movchan, Alexander B. 40 Dumbser, Michael 40 Wang, Bixiang 38 Fokas, Athanassios S. 37 Kloeden, Peter Eris 36 Crowdy, Darren Gregory 34 Steinmann, Paul 33 Craster, Richard V. 32 Li, Wan-Tong 32 Saccomandi, Giuseppe 31 Rădulescu, Vicenţiu D. 31 Simos, Theodore E. 30 Milton, Graeme Walter 29 Kaplunov, Julius D. 29 Málek, Josef 29 Ponte Castañeda, Pedro 29 Tachim Medjo, Theodore 29 Xiang, Shuhuang 28 Gray, John Mark Nicholas Timm 27 Caraballo Garrido, Tomás 27 Mihăilescu, Mihai 27 Neff, Patrizio 27 Nicholls, David P. 27 Ostoja-Starzewski, Martin 27 Rogers, Colin 26 Shu, Chi-Wang 25 Hill, James Murray 25 Toro, Eleuterio F. 24 Bustamante, Roger 24 Hackl, Klaus 24 Miranville, Alain M. 24 Mosler, Jörn 24 Shen, Jie 24 Zohdi, Tarek I. 23 Brody, Dorje C. 23 Conti, Sergio 23 Eremeyev, Victor A. 23 Feireisl, Eduard 23 Guo, Boling 23 Lakshmanan, Muthusamy 23 Mishuris, Gennady S. 23 Nguyen, Hoai-Minh 23 Pelinovsky, Dmitry Efimovich 23 Senthilvelan, Murugaian 23 Shuvalov, Alexander L. 22 Qian, Tao 22 Schief, Wolfgang Karl 22 Wang, Xiaojie 21 Abrahams, I. David 21 He, Jingsong 21 Horgan, Cornelius Oliver 21 Jentzen, Arnulf 21 Kang, Hyeonbae 21 Liu, Yue 21 Ogden, Raymond William 21 Parnell, William J. 21 Vynnycky, Michael 21 Wang, Zhi Cheng 21 Yang, Xiaofeng 21 Yavari, Arash 21 Yuan, Rong 20 Colombo, Fabrizio 20 Destrade, Michel 20 Jordan, Pedro M. 20 Karniadakis, George Em 20 Liu, Hongyu 20 Miehe, Christian 20 Reddy, Junuthula Narasimha 20 Sakajo, Takashi 19 Acharya, Amit 19 Andrianov, Igor V. 19 Bridges, Thomas J. 19 Chandler-Wilde, Simon N. 19 DeSimone, Antonio 19 Llibre, Jaume 19 Lowengrub, John Samuel 19 Real Anguas, José 19 Tian, Lixin 19 Venturi, Daniele 19 Wu, Shiliang 19 Zhou, Shouming 18 Balsara, Dinshaw S. 18 Chandrasekar, V. K. 18 Fu, Yongqiang 18 Holm, Darryl D. 18 Javili, Ali 18 Li, Yangrong 18 Madeo, Angela 18 Mielke, Alexander 18 Xiao, Heng 18 Yang, Jianke 18 Yurko, Vjacheslav Anatoljevich 17 Bartuccelli, Michele V. ...and 21,113 more Authors
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### Cited in 863 Journals

 633 Journal of Fluid Mechanics 521 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 437 Journal of Computational Physics 351 Journal of Mathematical Physics 336 Journal of Mathematical Analysis and Applications 330 Journal of the Mechanics and Physics of Solids 312 Acta Mechanica 293 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 286 International Journal of Engineering Science 278 Computer Methods in Applied Mechanics and Engineering 275 Wave Motion 260 Applied Mathematics and Computation 248 Journal of Differential Equations 247 Physica D 239 Journal of Computational and Applied Mathematics 218 Mathematics and Mechanics of Solids 203 Journal of Elasticity 202 ZAMP. Zeitschrift für angewandte Mathematik und Physik 191 Physics of Fluids 191 European Journal of Mechanics. A. Solids 182 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 163 Applied Mathematical Modelling 157 Journal of Engineering Mathematics 140 Continuum Mechanics and Thermodynamics 130 International Journal of Solids and Structures 129 Nonlinear Analysis. Real World Applications 128 Nonlinear Dynamics 127 Communications in Mathematical Physics 123 Journal of Scientific Computing 121 Computational Mechanics 120 Engineering Analysis with Boundary Elements 112 Quantum Information Processing 111 Computers & Mathematics with Applications 111 Chaos 108 SIAM Journal on Applied Mathematics 107 European Journal of Mechanics. B. Fluids 105 Archive for Rational Mechanics and Analysis 105 Chaos, Solitons and Fractals 105 Communications in Nonlinear Science and Numerical Simulation 100 Computers and Fluids 99 Journal of Nonlinear Science 98 International Journal of Theoretical Physics 98 Discrete and Continuous Dynamical Systems 95 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 91 New Journal of Physics 88 Mathematical Methods in the Applied Sciences 88 Meccanica 88 Discrete and Continuous Dynamical Systems. Series B 87 Applicable Analysis 83 International Journal for Numerical Methods in Engineering 78 Physics Letters. A 78 Foundations of Physics 76 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 76 Journal of Mathematical Chemistry 76 Mathematical Problems in Engineering 75 Journal of Theoretical Biology 74 Applied Numerical Mathematics 70 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 69 Applied Mathematics Letters 67 Nonlinearity 65 SIAM Journal on Mathematical Analysis 63 Journal of Statistical Physics 63 Communications on Pure and Applied Analysis 62 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 60 Journal of Geometry and Physics 60 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 60 Journal of Physics A: Mathematical and Theoretical 59 Journal of Dynamics and Differential Equations 58 Physica A 56 Abstract and Applied Analysis 55 Journal of Mathematical Biology 54 Journal of Nonlinear Mathematical Physics 52 Studies in Applied Mathematics 52 SIAM Journal on Scientific Computing 52 Journal of High Energy Physics 50 Journal of Functional Analysis 48 Calculus of Variations and Partial Differential Equations 48 Journal of Mathematical Sciences (New York) 47 Stochastic Processes and their Applications 46 Theoretical and Mathematical Physics 46 BIT 45 Numerical Algorithms 45 Acta Mechanica Sinica 44 International Journal of Quantum Information 43 Proceedings of the American Mathematical Society 43 Quarterly of Applied Mathematics 43 Advances in Difference Equations 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 Complex Variables and Elliptic Equations 40 Mathematics and Computers in Simulation 39 SIAM Journal on Numerical Analysis 39 European Journal of Applied Mathematics 39 Multibody System Dynamics 38 SIAM Journal on Applied Dynamical Systems 37 Bulletin of Mathematical Biology 37 Linear Algebra and its Applications 37 International Journal of Theoretical and Applied Finance 37 Discrete and Continuous Dynamical Systems. Series S ...and 763 more Journals
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### Cited in 61 Fields

 4,888 Partial differential equations (35-XX) 4,246 Mechanics of deformable solids (74-XX) 3,843 Fluid mechanics (76-XX) 2,364 Numerical analysis (65-XX) 1,418 Dynamical systems and ergodic theory (37-XX) 1,300 Quantum theory (81-XX) 1,187 Probability theory and stochastic processes (60-XX) 1,178 Ordinary differential equations (34-XX) 1,166 Biology and other natural sciences (92-XX) 798 Statistical mechanics, structure of matter (82-XX) 654 Mechanics of particles and systems (70-XX) 560 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 513 Classical thermodynamics, heat transfer (80-XX) 498 Optics, electromagnetic theory (78-XX) 420 Information and communication theory, circuits (94-XX) 418 Geophysics (86-XX) 394 Computer science (68-XX) 389 Operator theory (47-XX) 388 Systems theory; control (93-XX) 382 Statistics (62-XX) 381 Calculus of variations and optimal control; optimization (49-XX) 337 Differential geometry (53-XX) 292 Relativity and gravitational theory (83-XX) 212 Functions of a complex variable (30-XX) 209 Global analysis, analysis on manifolds (58-XX) 202 Special functions (33-XX) 198 Approximations and expansions (41-XX) 196 Real functions (26-XX) 192 Integral equations (45-XX) 182 Operations research, mathematical programming (90-XX) 179 Difference and functional equations (39-XX) 177 Functional analysis (46-XX) 170 Harmonic analysis on Euclidean spaces (42-XX) 153 Combinatorics (05-XX) 148 Number theory (11-XX) 148 Linear and multilinear algebra; matrix theory (15-XX) 82 Convex and discrete geometry (52-XX) 72 Astronomy and astrophysics (85-XX) 69 Integral transforms, operational calculus (44-XX) 68 Measure and integration (28-XX) 66 General and overarching topics; collections (00-XX) 59 Algebraic geometry (14-XX) 52 Mathematical logic and foundations (03-XX) 51 Potential theory (31-XX) 45 History and biography (01-XX) 44 Manifolds and cell complexes (57-XX) 33 Associative rings and algebras (16-XX) 32 Several complex variables and analytic spaces (32-XX) 29 Geometry (51-XX) 28 Topological groups, Lie groups (22-XX) 26 Nonassociative rings and algebras (17-XX) 22 Sequences, series, summability (40-XX) 12 Commutative algebra (13-XX) 12 Group theory and generalizations (20-XX) 12 Algebraic topology (55-XX) 7 Category theory; homological algebra (18-XX) 7 Abstract harmonic analysis (43-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Field theory and polynomials (12-XX) 6 Mathematics education (97-XX) 5 General topology (54-XX)