Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences Short Title: Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. Publisher: Royal Society Publishing, London ISSN: 1364-5021; 1471-2946/e Online: https://royalsocietypublishing.org/loi/rspahttps://www.jstor.org/journal/procmathphysengi Predecessor: Proceedings A. Royal Society of London Comments: This journal is available open access with a moving wall of 24 months. Documents Indexed: 1,193 Publications (since 2015) References Indexed: 899 Publications with 39,168 References. all top 5 Latest Issues 476, No. 2244 (2020) 476, No. 2243 (2020) 476, No. 2242 (2020) 476, No. 2241 (2020) 476, No. 2240 (2020) 476, No. 2239 (2020) 476, No. 2238 (2020) 476, No. 2237 (2020) 476, No. 2236 (2020) 476, No. 2235 (2020) 476, No. 2234 (2020) 476, No. 2233 (2020) 475, No. 2232 (2019) 475, No. 2231 (2019) 475, No. 2230 (2019) 475, No. 2229 (2019) 475, No. 2228 (2019) 475, No. 2227 (2019) 475, No. 2226 (2019) 475, No. 2225 (2019) 475, No. 2224 (2019) 475, No. 2223 (2019) 475, No. 2222 (2019) 475, No. 2221 (2019) 474, No. 2220 (2018) 474, No. 2219 (2018) 474, No. 2218 (2018) 474, No. 2217 (2018) 474, No. 2216 (2018) 474, No. 2215 (2018) 474, No. 2214 (2018) 474, No. 2213 (2018) 474, No. 2212 (2018) 474, No. 2211 (2018) 474, No. 2210 (2018) 474, No. 2209 (2018) 473, No. 2208 (2017) 473, No. 2207 (2017) 473, No. 2206 (2017) 473, No. 2205 (2017) 473, No. 2204 (2017) 473, No. 2203 (2017) 473, No. 2202 (2017) 473, No. 2201 (2017) 473, No. 2200 (2017) 473, No. 2199 (2017) 473, No. 2198 (2017) 473, No. 2197 (2017) 472, No. 2196 (2016) 472, No. 2195 (2016) 472, No. 2194 (2016) 472, No. 2193 (2016) 472, No. 2192 (2016) 472, No. 2191 (2016) 472, No. 2190 (2016) 472, No. 2189 (2016) 472, No. 2188 (2016) 472, No. 2187 (2016) 472, No. 2186 (2016) 472, No. 2185 (2016) 471, No. 2184 (2015) 471, No. 2183 (2015) 471, No. 2182 (2015) 471, No. 2181 (2015) all top 5 Authors 10 Goriely, Alain 9 Movchan, Alexander B. 9 Parnell, William J. 8 Abrahams, I. David 8 Kaplunov, Julius D. 7 Holm, Darryl Dallas 7 Neild, Simon A. 7 Simpson, Matthew J. 6 Ammari, Habib M. 6 Destrade, Michel 6 Straughan, Brian 5 Ali, Sk Zeeshan 5 Brunton, Steven L. 5 Crampin, Edmund John 5 Dey, Subhasish 5 Fokas, Athanassios S. 5 Hill, Thomas L. 5 Jones, Ian S. 5 Kutz, J. Nathan 5 Kuznetsov, Andrey V. 5 Kuznetsov, Ivan A. 5 Ogden, Raymond William 5 Porporato, Amilcare 5 Rogerson, Graham A. 5 Tronci, Cesare 4 Audoly, Basile 4 Bigoni, Davide 4 Bruno, Oscar P. 4 Carta, Giorgio 4 Chiribella, Giulio 4 Craster, Richard V. 4 Crowdy, Darren Gregory 4 Daly, Keith R. 4 Dorfmann, Luis 4 Fowler, Andrew C. 4 Fu, Yibin 4 Haberman, Michael R. 4 Haller, George 4 Hui, Chung-Yuen 4 Kent, Adrian 4 Maurel, Agnès 4 Mihai, L. Angela 4 Milton, Graeme Walter 4 Mishuris, Gennady S. 4 Neff, Patrizio 4 Paulino, Glaucio H. 4 Purohit, Prashant K. 4 Roose, Tiina 4 Rothman, Daniel H. 4 Shearer, Tom 4 Vella, Dominic 4 Yan, Zhenya 4 Zabarankin, Michael 4 Zhang, Guoqiang 3 Argatov, Ivan I. 3 Assier, Raphaël C. 3 Athanassoulis, Gerassimos A. 3 Ayton, Lorna J. 3 Bagarello, Fabio 3 Barbagallo, Gabriele 3 Barletta, Antonio 3 Bridges, Thomas J. 3 Broom, Mark 3 Cao, Jinde 3 Cavalieri, André V. G. 3 Celli, Michele 3 Champneys, Alan R. 3 Chen, Lin 3 Chen, Yichao 3 Choi, Gary Pui-Tung 3 Clanet, Christophe 3 Cohen, Yossi 3 Colbrook, Matthew J. 3 d’Agostino, Marco Valerio 3 El, Gennady A. 3 Evangelista, Luiz Roberto 3 Gawthrop, Peter J. 3 Ghorbaniasl, Ghader 3 Gower, Artur L. 3 Groh, Rainer M. J. 3 Guzina, Bojan B. 3 Hewitt, Ian J. 3 Holmes, Douglas P. 3 Jackson, Andrew D. 3 Jeffrey, Mike R. 3 Joshi, Nalini 3 Joy, Soumitra Roy 3 Kaminski Lenzi, Ervin 3 Kurths, Jürgen 3 Leimkuhler, Benedict J. 3 Liu, Zezhou 3 Madeo, Angela 3 Mahadevan, Lakshminarayanan 3 Mantelli, Elisa 3 Masuda, Naoki 3 Mazumder, Pinaki 3 McCue, Scott William 3 Mercier, Jean-François 3 Misseroni, Diego 3 Moulton, Derek E. ...and 2,378 more Authors all top 5 Fields 307 Mechanics of deformable solids (74-XX) 265 Fluid mechanics (76-XX) 140 Partial differential equations (35-XX) 130 Statistical mechanics, structure of matter (82-XX) 116 Biology and other natural sciences (92-XX) 90 Optics, electromagnetic theory (78-XX) 90 Quantum theory (81-XX) 71 Geophysics (86-XX) 60 Dynamical systems and ergodic theory (37-XX) 58 Mechanics of particles and systems (70-XX) 48 Statistics (62-XX) 47 Numerical analysis (65-XX) 43 Ordinary differential equations (34-XX) 38 Probability theory and stochastic processes (60-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Information and communication theory, circuits (94-XX) 28 Classical thermodynamics, heat transfer (80-XX) 23 Computer science (68-XX) 20 Relativity and gravitational theory (83-XX) 18 Combinatorics (05-XX) 18 Convex and discrete geometry (52-XX) 18 Systems theory; control (93-XX) 14 Differential geometry (53-XX) 13 Difference and functional equations (39-XX) 13 Operations research, mathematical programming (90-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Special functions (33-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Astronomy and astrophysics (85-XX) 9 Functions of a complex variable (30-XX) 8 History and biography (01-XX) 8 Algebraic geometry (14-XX) 7 Integral equations (45-XX) 6 Number theory (11-XX) 6 Real functions (26-XX) 5 Nonassociative rings and algebras (17-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Algebraic topology (55-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 1 Sequences, series, summability (40-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 779 Publications have been cited 3,458 times in 2,857 Documents Cited by ▼ Year ▼ Learning partial differential equations via data discovery and sparse optimization. Zbl 1404.35397Schaeffer, Hayden 53 2017 Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015Constantin, A.; Johnson, R. S. 43 2017 The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method. Zbl 1371.35278Tian, Shou-Fu 43 2016 The postulations á la d’Alembert and á la Cauchy for higher gradient continuum theories are equivalent: a review of existing results. Zbl 1371.82032dell’Isola, F.; Seppecher, P.; Della Corte, A. 42 2015 Matrix models and deformations of JT gravity. Zbl 1472.83071Witten, Edward 41 2020 Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks. Zbl 1402.92030Vlachas, Pantelis R.; Byeon, Wonmin; Wan, Zhong Y.; Sapsis, Themistoklis P.; Koumoutsakos, Petros 39 2018 Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling. Zbl 1407.62252Perdikaris, P.; Raissi, M.; Damianou, A.; Lawrence, N. D.; Karniadakis, G. E. 33 2017 Model selection for dynamical systems via sparse regression and information criteria. Zbl 1404.65308Mangan, N. M.; Kutz, J. N.; Brunton, S. L.; Proctor, J. L. 31 2017 Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis. Zbl 1404.74064Giorgio, I.; Rizzi, N. L.; Turco, E. 31 2017 Applications of variable-order fractional operators: a review. Zbl 1439.26028Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio 31 2020 Energy approach to brittle fracture in strain-gradient modelling. Zbl 1402.74094Placidi, Luca; Barchiesi, Emilio 29 2018 Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256Chen, Jinbing; Pelinovsky, Dmitry E. 28 2018 Methodical fitting for mathematical models of rubber-like materials. Zbl 1404.74016Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne 26 2017 Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes. Zbl 1404.92013Ding, Xiaoshuai; Cao, Jinde; Zhao, Xuan; Alsaadi, Fuad E. 24 2017 Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics. Zbl 1402.76101Cotter, C. J.; Gottwald, G. A.; Holm, D. D. 23 2017 Trigonal curves and algebro-geometric solutions to soliton hierarchies. I. Zbl 1404.35392Ma, Wen-Xiu 23 2017 How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Zbl 1404.74018Mihai, L. Angela; Goriely, Alain 22 2017 Sparse identification of nonlinear dynamics for model predictive control in the low-data limit. Zbl 1425.93175Kaiser, E.; Kutz, J. N.; Brunton, S. L. 22 2018 Understanding how porosity gradients can make a better filter using homogenization theory. Zbl 1371.76133Dalwadi, M. P.; Griffiths, I. M.; Bruna, M. 22 2015 Recoverability in quantum information theory. Zbl 1371.81070Wilde, Mark M. 21 2015 Trigonal curves and algebro-geometric solutions to soliton hierarchies. II. Zbl 1404.35393Ma, Wen-Xiu 20 2017 A minimization principle for the description of modes associated with finite-time instabilities. Zbl 1371.34064Babaee, H.; Sapsis, T. P. 20 2016 Assessing the robustness of spatial pattern sequences in a dryland vegetation model. Zbl 1371.92136Gowda, Karna; Chen, Yuxin; Iams, Sarah; Silber, Mary 20 2016 Dynamics of lumps and dark-dark solitons in the multi-component long-wave-short-wave resonance interaction system. Zbl 1402.35070Rao, Jiguang; Porsezian, Kuppuswamy; He, Jingsong; Kanna, Thambithurai 19 2018 Well-posed continuum equations for granular flow with compressibility and \(\mu(I)\)-rheology. Zbl 1404.76278Barker, T.; Schaeffer, D. G.; Shearer, M.; Gray, J. M. N. T. 19 2017 Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. Zbl 1472.65157Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh; von Wurstemberger, Philippe 19 2020 Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267Zhang, Sheng; Lin, Guang 19 2018 Variational principles for stochastic soliton dynamics. Zbl 1371.70041Holm, Darryl D.; Tyranowski, Tomasz M. 19 2016 Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage. Zbl 1371.74226Forest, Samuel 19 2016 Superregular breathers, characteristics of nonlinear stage of modulation instability induced by higher-order effects. Zbl 1404.35398Zhang, Jian-Hui; Wang, Lei; Liu, Chong 18 2017 Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks. Zbl 1472.68175Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em 18 2020 Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations. Zbl 1404.35424Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong 17 2017 Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation. Zbl 1372.91084Düring, Bertram; Wolfram, Marie-Therese 17 2015 First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model. Zbl 1371.82126Madeo, Angela; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Placidi, Luca; Neff, Patrizio 17 2016 A priori estimation of memory effects in reduced-order models of nonlinear systems using the Mori-Zwanzig formalism. Zbl 1402.76065Gouasmi, Ayoub; Parish, Eric J.; Duraisamy, Karthik 16 2017 Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J. 16 2017 Sub-wavelength focusing of acoustic waves in bubbly media. Zbl 1404.76235Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai 16 2017 On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit. Zbl 1407.35228Li, Hongjie; Liu, Hongyu 16 2018 On the dynamic homogenization of periodic media: Willis’ approach versus two-scale paradigm. Zbl 1402.74047Meng, Shixu; Guzina, Bojan B. 15 2018 New conformal mapping for adaptive resolving of the complex singularities of Stokes wave. Zbl 1402.76027Lushnikov, Pavel M.; Dyachenko, Sergey A.; Silantyev, Denis A. 15 2017 Gyro-elastic beams for the vibration reduction of long flexural systems. Zbl 1404.74078Carta, G.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.; Nieves, M. J. 14 2017 Mixed finite-element formulations in piezoelectricity and flexoelectricity. Zbl 1371.74261Mao, Sheng; Purohit, Prashant K.; Aravas, Nikolaos 14 2016 Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space. Zbl 1371.78330Bruno, Oscar P.; Shipman, Stephen P.; Turc, Catalin; Venakides, Stephanos 14 2016 Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity. Zbl 1402.76024Das, S.; Sahoo, T.; Meylan, M. H. 13 2018 Nonlinear electroelasticity: material properties, continuum theory and applications. Zbl 1404.74017Dorfmann, Luis; Ogden, Ray W. 13 2017 Interfacial waveforms in chiral lattices with gyroscopic spinners. Zbl 1404.74010Garau, M.; Carta, G.; Nieves, M. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B. 13 2018 The nonlinear Schrödinger equation with \(t\)-periodic data: II: Perturbative results. Zbl 1371.35274Lenells, J.; Fokas, A. S. 13 2015 Quantum speedup of Monte Carlo methods. Zbl 1371.82053Montanaro, Ashley 13 2015 Universal recovery map for approximate Markov chains. Zbl 1376.81015Sutter, David; Fawzi, Omar; Renner, Renato 13 2016 Radiating dispersive shock waves in non-local optical media. Zbl 1371.78043El, Gennady A.; Smyth, Noel F. 13 2016 Point vortex interactions on a toroidal surface. Zbl 1371.76046Sakajo, Takashi; Shimizu, Yuuki 13 2016 Explicit backbone curves from spectral submanifolds of forced-damped nonlinear mechanical systems. Zbl 1402.34047Breunung, Thomas; Haller, George 12 2018 Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 12 2018 Real wave propagation in the isotropic-relaxed micromorphic model. Zbl 1404.82028Neff, Patrizio; Madeo, Angela; Barbagallo, Gabriele; D’Agostino, Marco Valerio; Abreu, Rafael; Ghiba, Ionel-Dumitrel 12 2017 The \(n\)-component nonlinear Schrödinger equations: dark-bright mixed \(N\)- and high-order solitons and breathers, and dynamics. Zbl 1404.35375Zhang, Guoqiang; Yan, Zhenya 12 2018 Causal dissipation for the relativistic dynamics of ideal gases. Zbl 1404.82058Freistühler, Heinrich; Temple, Blake 12 2017 On fibre dispersion modelling of soft biological tissues: a review. Zbl 1472.74156Holzapfel, Gerhard A.; Ogden, Ray W.; Sherifova, Selda 12 2019 A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area. Zbl 1371.53062Dallaston, Michael C.; McCue, Scott W. 12 2016 Numerical solution of acoustic scattering by finite perforated elastic plates. Zbl 1371.74219Cavalieri, A. V. G.; Wolf, W. R.; Jaworski, J. W. 12 2016 Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction. Zbl 1404.82101Muratov, Cyrill B.; Slastikov, Valeriy V. 11 2017 Bidispersive vertical convection. Zbl 1404.76257Gentile, M.; Straughan, B. 11 2017 On the analysis of the double Hopf bifurcation in machining processes via centre manifold reduction. Zbl 1404.74065Molnar, T. G.; Dombovari, Z.; Insperger, T.; Stepan, G. 11 2017 From the elastica compass to the elastica catapult: an essay on the mechanics of soft robot arm. Zbl 1404.74047Armanini, C.; Dal Corso, F.; Misseroni, D.; Bigoni, D. 11 2017 Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids. Zbl 1404.76298Wang, Zhan 11 2017 Revisiting the Fisher-Kolmogorov-Petrovsky-Piskunov equation to interpret the spreading-extinction dichotomy. Zbl 1472.35398El-Hachem, Maud; Mccue, Scott W.; Jin, Wang; Du, Yihong; Simpson, Matthew J. 11 2019 Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling. Zbl 1472.76068Lind, Steven J.; Rogers, Benedict D.; Stansby, Peter K. 11 2020 The nonlinear Schrödinger equation with \(t\)-periodic data: I. Exact results. Zbl 1371.35273Lenells, J.; Fokas, A. S. 11 2015 Formal groups and \(Z\)-entropies. Zbl 1371.94581Tempesta, Piergiulio 11 2016 Buckling of spherical shells revisited. Zbl 1371.74112Hutchinson, John W. 11 2016 On the role of micro-inertia in enriched continuum mechanics. Zbl 1404.82039Madeo, Angela; Neff, Patrizio; Aifantis, Elias C.; Barbagallo, Gabriele; d’Agostino, Marco Valerio 10 2017 History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability. Zbl 1404.35458Klika, Václav; Gaffney, Eamonn A. 10 2017 Evolutionary graph theory revisited: when is an evolutionary process equivalent to the Moran process. Zbl 1371.92098Pattni, Karan; Broom, Mark; Rychtář, Jan; Silvers, Lara J. 10 2015 Homogenization of composite ferromagnetic materials. Zbl 1371.82148Alouges, François; Di Fratta, Giovanni 10 2015 A study of snake-like locomotion through the analysis of a flexible robot model. Zbl 1371.70027Cicconofri, Giancarlo; DeSimone, Antonio 10 2015 Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Zbl 1371.74025Chebakov, R.; Kaplunov, J.; Rogerson, G. A. 10 2016 Submesocale currents in the ocean. Zbl 1371.86012McWilliams, James C. 10 2016 Movement of a finite body in channel flow. Zbl 1371.76174Smith, Frank T.; Johnson, Edward R. 10 2016 Bidispersive-inclined convection. Zbl 1371.80017Falsaperla, Paolo; Mulone, Giuseppe; Straughan, Brian 10 2016 Unsteady solute dispersion in non-Newtonian fluid flow in a tube with wall absorption. Zbl 1371.76004Rana, Jyotirmoy; Murthy, P. V. S. N. 10 2016 On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics. Zbl 1439.81065El-Nabulsi, Rami Ahmad 10 2020 Quantum machine learning: a classical perspective. Zbl 1402.68154Ciliberto, Carlo; Herbster, Mark; Ialongo, Alessandro Davide; Pontil, Massimiliano; Rocchetto, Andrea; Severini, Simone; Wossnig, Leonard 9 2018 Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Zbl 1404.74015Conti, S.; Klar, M.; Zwicknagl, B. 9 2017 A non-local asymptotic theory for thin elastic plates. Zbl 1404.74092Chebakov, R.; Kaplunov, J.; Rogerson, G. A. 9 2017 Incompatibility-governed elasto-plasticity for continua with dislocations. Zbl 1404.74022Amstutz, Samuel; Van Goethem, Nicolas 9 2017 Evanescent wave boundary layers in metamaterials and sidestepping them through a variational approach. Zbl 1404.74116Srivastava, Ankit; Willis, John R. 9 2017 Interplay between cost and effectiveness in influenza vaccine uptake: a vaccination game approach. Zbl 1472.92196Arefin, Md. Rajib; Masaki, Tanaka; Kabir, K. M. Ariful; Tanimoto, Jun 9 2019 The mathematics of asymptotic stability in the Kuramoto model. Zbl 1425.35206Dietert, Helge; Fernandez, Bastien 9 2018 Amplifiers of selection. Zbl 1371.92093Adlam, B.; Chatterjee, K.; Nowak, M. A. 9 2015 Deautonomization by singularity confinement: an algebro-geometric justification. Zbl 1371.39011Mase, T.; Willox, R.; Grammaticos, B.; Ramani, A. 9 2015 On the wave propagation in the time differential dual-phase-lag thermoelastic model. Zbl 1371.80014Chiriţă, Stan; Ciarletta, Michele; Tibullo, Vincenzo 9 2015 Modelling of nonlinear wave scattering in a delaminated elastic bar. Zbl 1371.74155Khusnutdinova, K. R.; Tranter, M. R. 9 2015 Discretization of polynomial vector fields by polarization. Zbl 1372.65201Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G. R. W. 9 2015 Asymmetric collapse by dissolution or melting in a uniform flow. Zbl 1371.76158Rycroft, Chris H.; Bazant, Martin Z. 9 2016 Liquid toroidal drop in compressional flow with arbitrary drop-to-ambient fluid viscosity ratio. Zbl 1371.76059Zabarankin, Michael 9 2016 Hamiltonian structure for two-dimensional extended Green-Naghdi equations. Zbl 1371.76032Matsuno, Yoshimasa 9 2016 On nonlinear thermo-electro-elasticity. Zbl 1371.82161Mehnert, Marküs; Hossain, Mokarram; Steinmann, Paul 9 2016 High-frequency homogenization for travelling waves in periodic media. Zbl 1371.35005Harutyunyan, Davit; Milton, Graeme W.; Craster, Richard V. 9 2016 A non-classical Mindlin plate model incorporating microstructure, surface energy and foundation effects. Zbl 1371.74192Gao, X.-L.; Zhang, G. Y. 9 2016 Modulations of viscous fluid conduit periodic waves. Zbl 1371.76066Maiden, M. D.; Hoefer, M. A. 9 2016 Horizontally isotropic bidispersive thermal convection. Zbl 1402.80002Straughan, B. 8 2018 Matrix models and deformations of JT gravity. Zbl 1472.83071Witten, Edward 41 2020 Applications of variable-order fractional operators: a review. Zbl 1439.26028Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio 31 2020 Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. Zbl 1472.65157Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh; von Wurstemberger, Philippe 19 2020 Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks. Zbl 1472.68175Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em 18 2020 Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling. Zbl 1472.76068Lind, Steven J.; Rogers, Benedict D.; Stansby, Peter K. 11 2020 On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics. Zbl 1439.81065El-Nabulsi, Rami Ahmad 10 2020 Structure-preserving integrators for dissipative systems based on reversible-irreversible splitting. Zbl 1439.82069Shang, Xiaocheng; Öttinger, Hans Christian 8 2020 Shape analysis via inconsistent surface registration. Zbl 1472.53108Choi, Gary P. T.; Qiu, Di; Lui, Lok Ming 7 2020 Learning partial differential equations for biological transport models from noisy spatio-temporal data. Zbl 1439.35493Lagergren, John H.; Nardini, John T.; Lavigne, G. Michael; Rutter, Erica M.; Flores, Kevin B. 7 2020 A generalized fractional-order elastodynamic theory for non-local attenuating media. Zbl 1472.74020Patnaik, Sansit; Semperlotti, Fabio 6 2020 A modelling framework to assess the likely effectiveness of facemasks in combination with ‘lock-down’ in managing the COVID-19 pandemic. Zbl 1472.92241Stutt, Richard O. J. H.; Retkute, Renata; Bradley, Michael; Gilligan, Christopher A.; Colvin, John 6 2020 Steering eco-evolutionary game dynamics with manifold control. Zbl 1472.91009Wang, Xin; Zheng, Zhiming; Fu, Feng 5 2020 The super-Stückelberg procedure and dS in pure supergravity. Zbl 1472.83109Nagy, Silvia; Padilla, Antonio; Zavala, Ivonne 5 2020 Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics. Zbl 1472.92174Fadai, Nabil T.; Johnston, Stuart T.; Simpson, Matthew J. 5 2020 Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Zbl 1439.74150Fu, Yibin; Kaplunov, Julius; Prikazchikov, Danila 5 2020 Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation. Zbl 1472.35446Zhang, Zhi-Yong 4 2020 A unified approach for topology optimization with local stress constraints considering various failure criteria: von Mises, Drucker-Prager, Tresca, Mohr-Coulomb, Bresler-Pister and Willam-Warnke. Zbl 1472.74179Giraldo-Londoño, Oliver; Paulino, Glaucio H. 4 2020 Vigorous convection in porous media. Zbl 1472.76094Hewitt, D. R. 4 2020 Liquid crystals on deformable surfaces. Zbl 1472.82040Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel 4 2020 Fixed-time synchronization of quaternion-valued neural networks with time-varying delay. Zbl 1472.34135Kumar, Umesh; Das, Subir; Huang, Chuangxia; Cao, Jinde 4 2020 High endemic levels of typhoid fever in rural areas of Ghana may stem from optimal voluntary vaccination behaviour. Zbl 1472.92192Acosta-Alonzo, Carmen B.; Erovenko, Igor V.; Lancaster, Aaleah; Oh, Hyunju; Rychtář, Jan; Taylor, Dewey 4 2020 Heavy-tailed distributions, correlations, kurtosis and Taylor’s law of fluctuation scaling. Zbl 1472.60030Cohen, Joel E.; Davis, Richard A.; Samorodnitsky, Gennady 4 2020 How do conservative backbone curves perturb into forced responses? A Melnikov function analysis. Zbl 1439.70030Cenedese, Mattia; Haller, George 4 2020 Output-weighted optimal sampling for Bayesian regression and rare event statistics using few samples. Zbl 1439.62177Sapsis, Themistoklis P. 4 2020 Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators. Zbl 1439.74133Ammari, Habib; Davies, Bryn 4 2020 Discretization of the Bloch sphere, fractal invariant sets and Bell’s theorem. Zbl 1472.81032Palmer, T. N. 3 2020 From a discrete model of chemotaxis with volume-filling to a generalized Patlak-Keller-Segel model. 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Zbl 1472.62039Cunen, Céline; Hjort, Nils Lid; Schweder, Tore 1 2020 ...and 679 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,154 Authors 31 Tian, Shoufu 23 Ammari, Habib M. 23 Holm, Darryl Dallas 23 Neff, Patrizio 20 Barchiesi, Emilio 18 Zhang, Tiantian 16 Brunton, Steven L. 16 Placidi, Luca 16 Wang, Xiubin 14 Geng, Xianguo 13 Giorgio, Ivan 13 Movchan, Alexander B. 12 He, Jingsong 12 Kutz, J. Nathan 12 Madeo, Angela 12 Saccomandi, Giuseppe 11 Hoefer, Mark A. 11 Kaplunov, Julius D. 11 Karniadakis, George Em 11 Liu, Hongyu 11 Ma, Wen-Xiu 11 Rychtár, Jan 11 Simpson, Matthew J. 11 Tronci, Cesare 10 dell’Isola, Francesco 10 Goriely, Alain 10 Mihalache, Dumitru 10 Ratliff, Daniel J. 10 Yavari, Arash 9 Babaee, Hessam 9 Carta, Giorgio 9 Ghiba, Ionel-Dumitrel 9 Smith, Frank T. 9 Straughan, Brian 9 Turco, Emilio 8 Ayton, Lorna J. 8 Chen, Yong 8 Coman, Ciprian D. 8 d’Agostino, Marco Valerio 8 Di Fratta, Giovanni 8 El, Gennady A. 8 Hiltunen, Erik Orvehed 8 Jones, Ian S. 8 Martin, Calin-Iulian 8 Marynets, Kateryna 8 Meylan, Michael H. 8 Muratov, Cyrill B. 8 Neves, Mario jun. 8 Nicholls, David P. 8 Parnell, William J. 8 Peng, Weiqi 8 Sapsis, Themistoklis P. 8 Xiu, Dongbin 8 Xue, Bo 8 Yan, Zhenya 8 Yang, Jinjie 7 Cao, Jinde 7 Cheng, Yi 7 Choi, Gary Pui-Tung 7 Gay-Balmaz, François 7 Grammaticos, Basil 7 Haller, George 7 Hutzenthaler, Martin 7 Lee, Hyundae 7 Lui, Lok Ming 7 Mihai, L. Angela 7 Pelinovsky, Dmitry Efimovich 7 Penta, Raimondo 7 Prikazchikov, Danila A. 7 Ramani, Alfred 7 Rao, Jiguang 7 Sahoo, Trilochan 7 Schnitzer, Ory 7 Singh, Mehakpreet 7 Taylor, Dewey T. 7 Tempesta, Piergiulio 7 van Gorder, Robert Ashton 7 Yu, SangHyeon 7 Zabarankin, Michael 6 Barbagallo, Gabriele 6 Chen, Jinbing 6 Chu, Jifeng 6 Crampin, Edmund John 6 Crisan, Dan O. 6 Deng, Youjun 6 DeSimone, Antonio 6 Duraisamy, Karthik 6 Eremeyev, Victor A. 6 Fečkan, Michal 6 Forrester, Peter J. 6 Freistühler, Heinrich 6 Griffiths, Ian M. 6 Guzina, Bojan B. 6 Hur, Vera Mikyoung 6 Li, Hongjie 6 Li, Zhiqiang 6 Lustri, Christopher J. 6 Marigo, Jean-Jacques 6 Maurel, Agnès 6 McCue, Scott William ...and 5,054 more Authors all top 5 Cited in 353 Journals 240 Proceedings of the Royal Society of London. A. 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Modelling and Control 7 Communications on Pure and Applied Analysis 7 Advances in Difference Equations 7 Mathematical Biosciences and Engineering 7 Communications in Computational Physics 6 Letters in Mathematical Physics 6 Physics Reports 6 Automatica 6 Quarterly of Applied Mathematics 6 Calculus of Variations and Partial Differential Equations 6 Journal of Nonlinear Mathematical Physics 6 Journal of Statistical Mechanics: Theory and Experiment 6 Analysis and Mathematical Physics 6 SIAM/ASA Journal on Uncertainty Quantification 5 Journal of Computational and Applied Mathematics 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Proceedings of the American Mathematical Society 5 Studies in Applied Mathematics 5 International Journal of Computer Mathematics 5 Stochastic Processes and their Applications 5 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Geometric Mechanics 5 Games 5 Research in the Mathematical Sciences ...and 253 more Journals all top 5 Cited in 60 Fields 776 Mechanics of deformable solids (74-XX) 733 Partial differential equations (35-XX) 674 Fluid mechanics (76-XX) 326 Numerical analysis (65-XX) 319 Dynamical systems and ergodic theory (37-XX) 249 Biology and other natural sciences (92-XX) 235 Quantum theory (81-XX) 177 Statistical mechanics, structure of matter (82-XX) 151 Computer science (68-XX) 143 Ordinary differential equations (34-XX) 140 Probability theory and stochastic processes (60-XX) 133 Optics, electromagnetic theory (78-XX) 118 Mechanics of particles and systems (70-XX) 116 Geophysics (86-XX) 103 Statistics (62-XX) 74 Systems theory; control (93-XX) 64 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 58 Operator theory (47-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 57 Information and communication theory, circuits (94-XX) 55 Differential geometry (53-XX) 48 Real functions (26-XX) 46 Relativity and gravitational theory (83-XX) 44 Difference and functional equations (39-XX) 44 Classical thermodynamics, heat transfer (80-XX) 37 Functions of a complex variable (30-XX) 34 Integral equations (45-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 26 Combinatorics (05-XX) 26 Convex and discrete geometry (52-XX) 24 Functional analysis (46-XX) 23 Algebraic geometry (14-XX) 23 Special functions (33-XX) 23 Approximations and expansions (41-XX) 23 Global analysis, analysis on manifolds (58-XX) 22 Operations research, mathematical programming (90-XX) 16 Topological groups, Lie groups (22-XX) 14 General and overarching topics; collections (00-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Number theory (11-XX) 12 Astronomy and astrophysics (85-XX) 11 Group theory and generalizations (20-XX) 11 Manifolds and cell complexes (57-XX) 10 Potential theory (31-XX) 10 General topology (54-XX) 8 Associative rings and algebras (16-XX) 8 Measure and integration (28-XX) 7 History and biography (01-XX) 6 Nonassociative rings and algebras (17-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Algebraic topology (55-XX) 5 Integral transforms, operational calculus (44-XX) 4 Abstract harmonic analysis (43-XX) 3 Commutative algebra (13-XX) 3 Geometry (51-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) 2 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX) Citations by Year