IMA Journal of Applied Mathematics Short Title: IMA J. Appl. Math. Publisher: Oxford University Press, Oxford ISSN: 0272-4960; 1464-3634/e Online: https://academic.oup.com/imamat/issue Predecessor: Journal of the Institute of Mathematics and its Applications Comments: Journal; Indexed cover-to-cover Documents Indexed: 1,756 Publications (since 1981) all top 5 Latest Issues 88, No. 4 (2023) 88, No. 3 (2023) 88, No. 2 (2023) 88, No. 1 (2023) 87, No. 6 (2022) 87, No. 5 (2022) 87, No. 4 (2022) 87, No. 3 (2022) 87, No. 2 (2022) 87, No. 1 (2022) 86, No. 6 (2021) 86, No. 5 (2021) 86, No. 4 (2021) 86, No. 3 (2021) 86, No. 2 (2021) 86, No. 1 (2021) 85, No. 6 (2020) 85, No. 5 (2020) 85, No. 4 (2020) 85, No. 3 (2020) 85, No. 2 (2020) 85, No. 1 (2020) 84, No. 6 (2019) 84, No. 5 (2019) 84, No. 4 (2019) 84, No. 3 (2019) 84, No. 2 (2019) 84, No. 1 (2019) 83, No. 6 (2018) 83, No. 5 (2018) 83, No. 4 (2018) 83, No. 3 (2018) 83, No. 2 (2018) 83, No. 1 (2018) 82, No. 6 (2017) 82, No. 5 (2017) 82, No. 4 (2017) 82, No. 3 (2017) 82, No. 2 (2017) 82, No. 1 (2017) 81, No. 6 (2016) 81, No. 5 (2016) 81, No. 4 (2016) 81, No. 3 (2016) 81, No. 2 (2016) 81, No. 1 (2016) 80, No. 6 (2015) 80, No. 5 (2015) 80, No. 4 (2015) 80, No. 3 (2015) 80, No. 2 (2015) 80, No. 1 (2015) 79, No. 6 (2014) 79, No. 5 (2014) 79, No. 4 (2014) 79, No. 3 (2014) 79, No. 2 (2014) 79, No. 1 (2014) 78, No. 6 (2013) 78, No. 5 (2013) 78, No. 4 (2013) 78, No. 3 (2013) 78, No. 2 (2013) 78, No. 1 (2013) 77, No. 6 (2012) 77, No. 5 (2012) 77, No. 4 (2012) 77, No. 3 (2012) 77, No. 2 (2012) 77, No. 1 (2012) 76, No. 6 (2011) 76, No. 5 (2011) 76, No. 4 (2011) 76, No. 3 (2011) 76, No. 2 (2011) 76, No. 1 (2011) 75, No. 6 (2010) 75, No. 5 (2010) 75, No. 4 (2010) 75, No. 3 (2010) 75, No. 2 (2010) 75, No. 1 (2010) 74, No. 6 (2009) 74, No. 5 (2009) 74, No. 4 (2009) 74, No. 3 (2009) 74, No. 2 (2009) 74, No. 1 (2009) 73, No. 6 (2008) 73, No. 5 (2008) 73, No. 4 (2008) 73, No. 3 (2008) 73, No. 2 (2008) 73, No. 1 (2008) 72, No. 6 (2007) 72, No. 5 (2007) 72, No. 4 (2007) 72, No. 3 (2007) 72, No. 2 (2007) 72, No. 1 (2007) ...and 126 more Volumes all top 5 Authors 19 Merkin, John H. 16 Hill, James Murray 14 Lacey, Andrew A. 13 Champneys, Alan R. 13 King, John Robert 12 Grundy, R. E. 11 Papageorgiou, Demetrios T. 10 Crowdy, Darren Gregory 10 Needham, David John 10 Wake, Graeme Charles 9 Bassom, Andrew P. 9 Billingham, John 9 Johansson, B. Tomas 9 Lesnic, Daniel 9 Liu, Fawang 9 Mulholland, Anthony J. 9 Sleeman, Brian David 9 Vanden-Broeck, Jean-Marc 8 Craster, Richard V. 8 Jones, Douglas Samuel 8 Pipkin, Allen C. 8 Please, Colin Peter 8 Smith, Ronald 7 Atkinson, Colin 7 Cade, R. 7 Constanda, Christian 7 Decent, Stephen P. 7 Fokas, Athanassios S. 7 Howe, Michael S. 7 Kriegsmann, Gregory A. 7 Leach, Jannie A. 7 Marchant, Timothy R. 7 Muñoz Rivera, Jaime Edilberto 7 Ogden, Raymond William 7 Quintanilla de Latorre, Ramón 7 Scott, Nigel H. 7 Scott, Stephen K. 7 Willis, John Raymond 7 Yan, Guozheng 6 Abrahams, I. David 6 Adler, Jack 6 Blyth, Mark G. 6 Cimatti, Giovanni 6 Daniels, P. G. 6 Dassios, George 6 Gol’dshtein, Vladimir Mikhailovich 6 Graham-Eagle, James 6 Jansons, Kalvis M. 6 Kaplunov, Julius D. 6 Knobloch, Edgar 6 Leppington, Frank G. 6 McKee, Sean 6 McNabb, Alex 6 Ockendon, John R. 6 Pozrikidis, Constantine 6 Rajagopal, Kumbakonam Ramamani 6 Roberts, Anthony John 6 Schiavone, Peter 6 Sherratt, Jonathan A. 6 Smyth, Noel Frederick 6 Steigmann, David J. 5 Anh, Vo V. 5 Barlow, Nathaniel S. 5 Blake, John Robert 5 Budd, Christopher John 5 Bürger, Raimund 5 Chapman, Stephen Jonathan 5 Choi, Yung-Sze 5 Dai, Huihui 5 Diehl, Stefan 5 Fowler, Andrew C. 5 Herbert, D. M. 5 Howison, Samuel Dexter 5 Kalliadasis, Serafim 5 Keady, Grant 5 Lyalinov, Mikhail Anatolievich 5 McIntosh, Andy C. 5 O’Regan, Donal 5 Power, Henry 5 Smith, Warren R. 5 Talbot, D. R. S. 5 Turner, Ian William 5 Visintin, Augusto 5 Wang, Chang-Yi 5 Wang, Xu 5 Ward, Michael J. 5 Weinstein, Steven J. 4 Antipov, Yuri A. 4 Brindley, John 4 Bykov, Viatcheslav 4 Chen, Hua 4 Chudinovich, Igor Yuryevich 4 Edwards, David Alan 4 Fitt, Alistair D. 4 Goldfarb, Igor 4 Gottlieb, H. P. W. 4 Grindrod, Peter 4 Hazard, Christophe 4 Horgan, Cornelius Oliver 4 Ingham, Derek Binns ...and 2,264 more Authors all top 5 Fields 786 Partial differential equations (35-XX) 569 Fluid mechanics (76-XX) 359 Mechanics of deformable solids (74-XX) 198 Biology and other natural sciences (92-XX) 162 Classical thermodynamics, heat transfer (80-XX) 159 Numerical analysis (65-XX) 150 Ordinary differential equations (34-XX) 145 Optics, electromagnetic theory (78-XX) 78 Dynamical systems and ergodic theory (37-XX) 72 Statistical mechanics, structure of matter (82-XX) 54 Integral equations (45-XX) 39 Probability theory and stochastic processes (60-XX) 39 Geophysics (86-XX) 39 Systems theory; control (93-XX) 32 Mechanics of particles and systems (70-XX) 30 Operator theory (47-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 29 Special functions (33-XX) 27 Functions of a complex variable (30-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Integral transforms, operational calculus (44-XX) 18 Operations research, mathematical programming (90-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Quantum theory (81-XX) 15 Approximations and expansions (41-XX) 15 Information and communication theory, circuits (94-XX) 14 General and overarching topics; collections (00-XX) 13 Computer science (68-XX) 11 History and biography (01-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Potential theory (31-XX) 10 Difference and functional equations (39-XX) 9 Real functions (26-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Statistics (62-XX) 6 Combinatorics (05-XX) 6 Measure and integration (28-XX) 5 Functional analysis (46-XX) 4 Astronomy and astrophysics (85-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,324 Publications have been cited 10,954 times in 9,602 Documents Cited by ▼ Year ▼ Nonlocal reaction-diffusion equations and nucleation. Zbl 0763.35051 Rubinstein, Jacob; Sternberg, Peter 168 1992 Numerical studies of the Cahn-Hilliard equation for phase separation. Zbl 0632.65113 Elliott, Charles M.; French, Donald A. 123 1987 Variational principles for inhomogeneous nonlinear media. Zbl 0588.73025 Talbot, D. R. S.; Willis, J. R. 101 1985 Rates of decay to weak thermoelastic Bresse system. Zbl 1209.80005 Fatori, Luci Harue; Muñoz Rivera, Jaime E. 92 2010 On the weakly competitive case in a two-species chemotaxis model. Zbl 1404.35033 Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki 88 2016 Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction. Zbl 1048.35123 Weng, Peixuan; Huang, Huaxiong; Wu, Jianhong 86 2003 Theory of two-temperature generalized thermoelasticity. Zbl 1115.74019 Youssef, H. M. 85 2006 The Cauchy problem for Laplace’s equation via the conjugate gradient method. Zbl 0967.35032 Dinh Nho Hào; Lesnic, D. 83 2000 New methods for ordinary differential equations. Zbl 1065.34006 Muriel, C.; Romero, J. L. 82 2001 Particle trajectories in extreme Stokes waves. Zbl 1250.35150 Constantin, Adrian 80 2012 On Namias’s fractional Fourier transforms. Zbl 0644.44005 McBride, A. C.; Kerr, F. H. 80 1987 A variational method for identifying a spacewise-dependent heat source. Zbl 1135.65034 Johansson, B. Tomas; Lesnic, Daniel 79 2007 Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model. Zbl 1267.35236 Li, Xin; Jiang, Weihua; Shi, Junping 78 2013 The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation. Zbl 1179.37073 Shen, S.; Liu, Fawang; Anh, V.; Turner, I. 76 2008 A new transform method for evolution partial differential equations. Zbl 1028.35009 Fokas, A. S. 66 2002 On the high Reynolds number theory of laminar flows. Zbl 0494.76042 Smith, F. T. 66 1982 Impulse, flow force and variational principles. Zbl 0584.76001 Benjamin, T. Brooke 66 1984 The relaxed energy density for isotropic elastic membranes. Zbl 0644.73047 Pipkin, Allen C. 63 1986 Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains. Zbl 1337.65120 Ye, H.; Liu, Fawang; Anh, V.; Turner, I. 61 2015 On surface waves and deformations in a pre-stressed incompressible elastic solid. Zbl 0706.73018 Dowaikh, M. A.; Ogden, R. W. 57 1990 Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376 Shi, Hong-Bo; Ruan, Shigui 56 2015 Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method. Zbl 0936.35039 Qu, Changzheng 55 1999 On an attraction-repulsion chemotaxis system with a logistic source. Zbl 1336.35338 Li, Xie; Xiang, Zhaoyin 55 2016 A transform method for linear evolution PDEs on a finite interval. Zbl 1084.35002 Fokas, A. S.; Pelloni, B. 54 2005 Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays. Zbl 1316.34079 Li, Xiaodi; O’Regan, Donal; Akca, Haydar 53 2015 The denseness of the far field patterns for the transmission problem. Zbl 0652.35104 Kirsch, Andreas 53 1986 The Riemann problem for the pressureless Euler system with the Coulomb-like friction term. Zbl 1336.35281 Shen, Chun 52 2016 Regularization of parabolic equations backward in time by a non-local boundary value problem method. Zbl 1194.35501 Hào, Dinh Nho; Duc, Nguyen Van; Lesnic, D. 51 2010 Stability in distribution of a three-species stochastic cascade predator-prey system with time delays. Zbl 1404.92158 Liu, Meng; Fan, Meng 50 2017 Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source. Zbl 0791.35060 Arrigo, D. J.; Hill, J. M.; Broadbridge, P. 47 1994 The dynamics of a conserved phase field system: Stefan-like, Hele-Shaw, and Cahn-Hilliard models as asymptotic limits. Zbl 0712.35114 Caginalp, G. 46 1990 High-order nonlinear diffusion. Zbl 0694.35091 Smyth, N. F.; Hill, J. M. 45 1988 On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles. Zbl 1406.35368 Pichler, Monika; Biondini, Gino 45 2017 Stability and convergence of an implicit numerical method for the nonlinear fractional reaction-subdiffusion process. Zbl 1187.35271 Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I. 44 2009 On a viscoelastic plate equation with history setting and perturbation of \(p\)-Laplacian type. Zbl 1282.35372 Jorge Silva, M. A.; Ma, T. F. 44 2013 Total positivity and the stability of internal waves in stratified fluids of finite depth. Zbl 0723.76106 Albert, J. P.; Bona, J. L. 42 1991 Soliton solutions of non-linear evolution equations. Zbl 0542.35079 Freeman, N. C. 42 1984 Soliton interaction for the extended Korteweg-de Vries equation. Zbl 0857.35113 Marchant, T. R.; Smyth, N. F. 41 1996 Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086 Colton, David; Sleeman, B. D. 40 1983 Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients. Zbl 1338.35444 Zhao, Yonggang; Wang, Mingxin 39 2016 The existence of travelling plane waves in a general class of competition-diffusion systems. Zbl 0841.35050 van Vuuren, Jan H. 39 1995 On the far-field operator in elastic obstacle scattering. Zbl 1141.35429 Alves, Carlos J. S.; Kress, Rainer 38 2002 The similarity method for difference equations. Zbl 0631.39003 Maeda, Shigeru 38 1987 The Riesz basis property of a Timoshenko beam with boundary feedback and application. Zbl 1136.74343 Xu, Gen-Qi; Feng, De-Xing 37 2002 The formation of freckles in binary alloys. Zbl 0606.76110 Fowler, A. C. 37 1985 Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern. Zbl 1121.76059 Johansson, Tomas; Sleeman, Brian D. 36 2007 Non-linear waves in lattices: past, present, future. Zbl 1230.37099 Kevrekidis, P. G. 36 2011 Relaxed energy densities for large deformations of membranes. Zbl 0801.73040 Pipkin, A. C. 34 1994 A cubic system with eight small-amplitude limit cycles. Zbl 0743.34037 James, E. M.; Lloyd, N. G. 34 1991 Singular solutions for the shallow-water equations. Zbl 1257.35123 Kalisch, Henrik; Mitrovic, Darko 33 2012 Painlevé analysis and the complete integrability of a generalized variable-coefficient Kadomtsev-Petviashvili equation. Zbl 0719.35083 Clarkson, Peter A. 33 1990 On boundary layers in fluid mechanics that decay algebraically along stretches of wall that are not vanishingly small. Zbl 0472.76045 Kuiken, H. K. 33 1981 On the stability of swelling porous elastic soils with fluid saturation by one internal damping. Zbl 1115.74020 Wang, Jun-Min; Guo, Bao-Zhu 33 2006 Stefan problem with phase relaxation. Zbl 0585.35053 Visintin, Augusto 33 1985 A Lobatto interpolation grid over the triangle. Zbl 1114.41001 Blyth, M. G.; Pozrikidis, C. 32 2006 Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling. Zbl 0911.92028 Ruan, Shigui 32 1998 The dynamics of an SVIR epidemiological model with infection age. Zbl 1338.35429 Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu 31 2016 Razumikhin-type theorems on exponential stability of impulsive delay systems. Zbl 1128.34047 Liu, Bin; Liu, Xinzhi; Teo, Kok Lay; Wang, Qing 31 2006 A novel numerical approximation for the space fractional advection-dispersion equation. Zbl 1297.65098 Shen, S.; Liu, Fawang; Anh, V.; Turner, I.; Chen, J. 31 2014 Asymptotic behaviour of ground state solutions for the Hénon equation. Zbl 1169.35377 Cao, Daomin; Peng, Shuangjie; Yan, Shusen 31 2009 Free convection boundary-layer flow of a micropolar fluid from a vertical flat plate. Zbl 0923.76306 Rees, D. A. S.; Pop, I. 31 1998 Electromagnetic scattering by a homogeneous chiral obstacle in a chiral environment. Zbl 1064.78006 Athanasiadis, Christodoulos; Costakis, George; Stratis, Ioannis G. 30 2000 Poroelastic materials reinforced by statistically oriented fibres – numerical implementation and application to articular cartilage. Zbl 1299.74171 Tomic, Aleksandar; Grillo, Alfio; Salvatore, Federico 30 2014 Primal-dual methods of shape sensitivity analysis for curvilinear cracks with nonpenetration. Zbl 1112.74047 Kovtunenko, V. A. 30 2006 Constructive methods for factorization of matrix-functions. Zbl 1338.15035 Rogosin, Sergei; Mishuris, Gennady 29 2016 The structure of overall constitutive relations for a class of nonlinear composites. Zbl 0695.73005 Willis, J. R. 29 1989 Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008 Antoine, Xavier 29 2001 The mesa problem: diffusion patterns for \(u_ t=\nabla \cdot (u^ m\nabla u)\) as \(m\to +\infty\). Zbl 0655.35034 Elliott, C. M.; Herrero, M. A.; King, J. R.; Ockendon, J. R. 28 1986 Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation. Zbl 0858.35062 Sherratt, Jonathan A.; Marchant, Ben P. 28 1996 Spherical squirmers: models for swimming micro-organisms. Zbl 1406.35295 Pedley, T. J. 28 2016 Transmission problem in thermoelasticity with symmetry. Zbl 1060.74019 Marzocchi, Alfredo; Muñoz Rivera, Jaime E.; Naso, Maria Grazia 27 2003 \(C^\infty\)-symmetries and non-solvable symmetry algebras. Zbl 1006.34032 Muriel, C.; Romero, J. L. 27 2001 A bound for the temperature in the thermistor problem. Zbl 0694.35139 Cimatti, Giovanni 27 1988 The completed double layer boundary integral equation method for two- dimensional Stokes flow. Zbl 0797.76013 Power, Henry 27 1993 Monotone wave-fronts in a structured population model with distributed maturation delay. Zbl 1086.92043 Al-Omari, J. F. M.; Gourley, S. A. 27 2005 Existence of solutions for the time-dependent thermistor equations. Zbl 0754.35170 Allegretto, W.; Xie, H. 27 1992 Numerical simulation for the 3D seepage flow with fractional derivatives in porous media. Zbl 1169.76427 Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. 27 2009 Periodic waves with constant vorticity in water of infinite depth. Zbl 0860.76014 Vanden-Broeck, J.-M. 26 1996 Numerical analysis of dynamic thermoviscoelastic contact with damage of a rod. Zbl 1171.74386 Andrews, K. T.; Fernández, J. R.; Shillor, M. 26 2005 Spatio-temporal patterns in a diffusive model with non-local delay effect. Zbl 1404.35036 Guo, Shangjiang 26 2017 Two-dimensional flexural-gravity waves of finite amplitude in deep water. Zbl 1282.76080 Wang, Z.; Vanden-Broeck, J.-M.; Milewski, P. A. 26 2013 Bifurcation and stability analysis for a delayed Leslie-Gower predator-prey system. Zbl 1201.34132 Yuan, Sanling; Song, Yongli 26 2009 Complete blow-up for a semilinear diffusion equation with a sufficiently large initial condition. Zbl 0699.35151 Lacey, A. A.; Tzanetis, D. 25 1988 Hidden symmetries and nonlocal group generators for ordinary differential equations. Zbl 0859.34023 Abraham-Shrauner, Barbara 25 1996 On a concept of derivative of complex order with applications of special functions. Zbl 0565.30034 Campos, L. M. B. C. 25 1984 Similarity solutions of a generalized Burgers equation. Zbl 0711.35117 Doyle, J.; Englefield, M. J. 25 1990 Global stability for penetrative convection with throughflow in a porous material. Zbl 1129.76022 Hill, A. A.; Rionero, S.; Straughan, B. 25 2007 A variational method for wave scattering from penetrable rough layers. Zbl 1205.78024 Lechleiter, Armin; Ritterbusch, Sebastian 25 2010 Stochastic ordinary differential equations in applied and computational mathematics. Zbl 1221.60099 Higham, Desmond J. 25 2011 The hypothesis of equal wave speeds for stabilization of Timoshenko beam is not necessary anymore: the time delay cases. Zbl 1476.74067 Almeida Júnior, D. S.; Elishakoff, I.; Ramos, A. J. A.; Miranda, L. G. Rosário 24 2019 Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues. Zbl 1076.74024 Lobo, Miguel; Nazarov, Serguei A.; Perez, Eugenia 24 2005 Inflation and bifurcation of thick-walled compressible elastic spherical shells. Zbl 0649.73021 Haughton, D. M. 24 1987 On radiation conditions for rough surface scattering problems. Zbl 1100.35101 Arens, Tilo; Hohage, Thorsten 24 2005 The Schottky-Klein prime function: a theoretical and computational tool for applications. Zbl 1408.30035 Crowdy, D. G.; Kropf, E. H.; Green, C. C.; Nasser, M. M. S. 24 2016 The structure of the solution set for periodic oscillations in a suspension bridge model. Zbl 0756.73041 Choi, Y. S.; Jen, K. C.; McKenna, P. J. 24 1991 Analytic solutions of the Nagumo equation. Zbl 0774.35085 Chen, Zhixiong; Guo, Benyu 24 1992 Spreading speeds and travelling waves in a delayed population model with stage structure on a 2D spatial lattice. Zbl 1155.35474 Cheng, Cui-Ping; Li, Wan-Tong; Wang, Zhi-Cheng 24 2008 On a transform method for the Laplace equation in a polygon. Zbl 1170.37331 Fokas, A. S.; Kapaev, A. A. 23 2003 Global stability of an epidemic model with carrier state in heterogeneous networks. Zbl 1330.92122 Cao, Jinde; Wang, Yi; Alofi, Abdulaziz; Al-Mazrooei, Abdullah; Elaiw, Ahmed 23 2015 Recovering the potential term in a fractional diffusion equation. Zbl 1405.65112 Zhang, Zhidong; Zhou, Zhi 23 2017 Computing spectral properties of topological insulators without artificial truncation or supercell approximation. Zbl 07684732 Colbrook, Matthew J.; Horning, Andrew; Thicke, Kyle; Watson, Alexander B. 4 2023 Global threshold dynamics of a spatial chemotactic mosquito-borne disease model. Zbl 1519.92314 Wang, Kai; Wang, Hao; Zhao, Hongyong 2 2023 Oscillatory and regularized shock waves for a dissipative Peregrine-Boussinesq system. Zbl 1540.76069 Brudvik-Lindner, Larkspur; Mitsotakis, Dimitrios; Tzavaras, Athanasios E. 2 2023 Scattering resonances in unbounded transmission problems with sign-changing coefficient. Zbl 1517.78002 Carvalho, Camille; Moitier, Zoïs 1 2023 Scattering in a partially open waveguide: the forward problem. Zbl 1532.78001 Bourgeois, Laurent; Fliss, Sonia; Fritsch, Jean-François; Hazard, Christophe; Recoquillay, Arnaud 1 2023 Stability of fixed points in an approximate solution of the spring-mass running model. Zbl 1540.70031 Wróblewska, Zofia; Kowalczyk, Piotr; Płociniczak, Łukasz 1 2023 Traveling edge states in massive Dirac equations along slowly varying edges. Zbl 1534.35064 Hu, Pipi; Xie, Peng; Zhu, Yi 1 2023 Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions. Zbl 1486.91063 Goddard, B. D.; Gooding, B.; Short, H.; Pavliotis, G. A. 11 2022 Laplace-Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory. Zbl 1496.35172 Eswarathasan, Suresh; Kolokolnikov, Theodore 3 2022 A parallel sampling algorithm for some nonlinear inverse problems. Zbl 07531631 Volkov, Darko 3 2022 The Riemann problem for a traffic flow model on a road with variable widths. Zbl 1505.90037 Sheng, Wancheng; Zhang, Qinglong 3 2022 The Hermitian symmetric space Fokas-Lenells equation: spectral analysis and long-time asymptotics. Zbl 1506.35015 Geng, Xianguo; Wang, Kedong; Chen, Mingming 3 2022 A degenerating convection-diffusion system modelling froth flotation with drainage. Zbl 1516.76076 Bürger, Raimund; Diehl, Stefan; Martí, M. Carmen; Vásquez, Yolanda 3 2022 On desingularization of steady vortex for the lake equations. Zbl 1507.35150 Cao, Daomin; Zhan, Weicheng; Zou, Changjun 2 2022 Integrability of local and non-local non-commutative fourth-order quintic non-linear Schrödinger equations. Zbl 1490.35433 Malham, Simon J. A. 2 2022 Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems. Zbl 1500.65100 Domínguez, Víctor; Turc, Catalin 2 2022 Dynamical aspects of a restricted three-vortex problem. Zbl 1486.76019 Kallyadan, Sreethin Sreedharan; Shukla, Priyanka 1 2022 Stability analysis of a standby system with an unreliable server and switching failure. Zbl 1489.90018 Gao, Chao; Chen, Xing-Min 1 2022 The factorization method for inverse scattering by a two-layered cavity with conductive boundary condition. Zbl 1496.81092 Ye, Jianguo; Yan, Guozheng 1 2022 Extensions of the d’Alembert formulae to the half line and the finite interval obtained via the unified transform. Zbl 1509.35153 Fokas, A. S.; Kalimeris, K. 1 2022 Numerical methods and hypoexponential approximations for gamma distributed delay differential equations. Zbl 1510.65127 Cassidy, Tyler; Gillich, Peter; Humphries, Antony R.; van Dorp, Christiaan H. 1 2022 Polarity-driven laminar pattern formation by lateral-inhibition in 2D and 3D bilayer geometries. Zbl 1501.92005 Moore, Joshua W.; Dale, Trevor C.; Woolley, Thomas E. 1 2022 Existence of localized radial patterns in a model for dryland vegetation. Zbl 1497.35476 Hill, Dan J. 1 2022 Grazing bifurcations and transitions between periodic states of the PP04 model for the glacial cycle. Zbl 1511.37105 Budd, Chris; Morupisi, Kgomotso S. 1 2022 General rogue waves in the three-wave resonant interaction systems. Zbl 1486.35126 Yang, Bo; Yang, Jianke 19 2021 Steady states and pattern formation of the density-suppressed motility model. Zbl 1467.92042 Wang, Zhi-An; Xu, Xin 17 2021 Localized patterns and semi-strong interaction, a unifying framework for reaction-diffusion systems. Zbl 1480.92092 Al Saadi, Fahad; Champneys, Alan; Verschueren, Nicolas 11 2021 On a subdiffusive tumour growth model with fractional time derivative. Zbl 1472.92080 Fritz, Marvin; Kuttler, Christina; Rajendran, Mabel L.; Wohlmuth, Barbara; Scarabosio, Laura 8 2021 An analysis of the periodically forced PP04 climate model, using the theory of non-smooth dynamical systems. Zbl 1470.86006 Morupisi, Kgomotso S.; Budd, Chris 6 2021 Behaviour of solutions to the 1D focusing stochastic \(L^2\)-critical and supercritical nonlinear Schrödinger equation with space-time white noise. Zbl 1492.35316 Millet, Annie; Roudenko, Svetlana; Yang, Kai 6 2021 Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities. Zbl 1479.78019 Parra-Rivas, P.; Knobloch, E.; Gelens, L.; Gomila, D. 5 2021 Snaking bifurcations of localized patterns on ring lattices. Zbl 07452522 Tian, Moyi; Bramburger, Jason J.; Sandstede, Björn 5 2021 A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area. Zbl 1471.76088 Bürger, Raimund; Careaga, Julio; Diehl, Stefan 4 2021 Editorial to homoclinic snaking at 21: in memory of Patrick Woods. Zbl 07452512 4 2021 Stationary peaks in a multivariable reaction-diffusion system : foliated snaking due to subcritical Turing instability. 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Zbl 07452514 Holl, Max Philipp; Archer, Andrew J.; Gurevich, Svetlana V.; Knobloch, Edgar; Ophaus, Lukas; Thiele, Uwe 2 2021 Localized states in coupled Cahn-Hilliard equations. Zbl 1480.35019 Frohoff-Hülsmann, Tobias; Thiele, Uwe 2 2021 Curvature effects and radial homoclinic snaking. Zbl 07452521 Gomila, Damià; Knobloch, Edgar 2 2021 Blow up and global solvability for an absorptive porous medium equation with memory at the boundary. Zbl 1491.35064 Anderson, Jeffrey R.; Deng, Keng 2 2021 Reaction-subdiffusion systems and memory: spectra, Turing instability and decay estimates. Zbl 1471.35315 Yang, Jichen; Rademacher, Jens D. M. 1 2021 Stability results on radial porous media and Hele-Shaw flows with variable viscosity between two moving interfaces. Zbl 1471.76033 Gin, Craig; Daripa, Prabir 1 2021 Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background. 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Zbl 1428.35090 Fokas, Athanasios S.; Pelloni, Beatrice; Xia, Baoqiang 4 2019 ...and 1224 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 11,753 Authors 41 Liu, Fawang 41 Quintanilla de Latorre, Ramón 35 Fokas, Athanassios S. 35 Lesnic, Daniel 34 Mu, Chunlai 30 Turner, Ian William 29 Muriel, Concepción 29 Xu, Gen-Qi 27 Li, Wan-Tong 27 Nazarov, Sergeĭ Aleksandrovich 27 Ponte Castañeda, Pedro 27 Ramos, Anderson J. A. 27 Zayed, Elsayed M. E. 26 Fernández, Jose Ramon 26 Wang, Zhicheng 26 Weng, Peixuan 25 Liu, Hongyu 25 Ogden, Raymond William 25 O’Regan, Donal 25 Steigmann, David J. 24 Guo, Shangjiang 24 Qu, Changzheng 24 Tian, Bo 22 Muñoz Rivera, Jaime Edilberto 21 Bassom, Andrew P. 21 Freitas, Mirelson M. 21 Wang, Mingxin 20 Agarwal, Ravi P. 20 Colli, Pierluigi 20 Hill, James Murray 20 Nguyen Huy Tuan 20 Pop, Ioan 19 Athanasiadis, Christodoulos E. 19 Feng, Baowei 19 Hu, Guanghui 19 Johansson, B. 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David 18 Crowdy, Darren Gregory 18 Kovtunenko, Viktor Anatolievich 18 Marchant, Timothy R. 18 Merkin, John H. 18 Soufyane, Abdelaziz 18 Yang, Xiaofeng 17 Fan, Engui 17 Gao, David Yang 17 Hayat, Tasawar 17 Rogerson, Graham A. 17 Sun, Zhizhong 16 Cao, Jinde 16 Fu, Chuli 16 Li, Xiaodi 16 Miranville, Alain M. 16 Schiavone, Peter 16 Tarzia, Domingo Alberto 16 Wei, Ting 16 Witelski, Thomas P. 16 Yin, Zhaoyang 16 Yu, Zhixian 15 Blyth, Mark G. 15 Chen, Xinfu 15 Chugaĭnova, Anna Pavlova 15 Coman, Ciprian D. 15 Li, Kun 15 Papageorgiou, Demetrios T. 15 Rajagopal, Kumbakonam Ramamani 15 Utyuzhnikov, Sergey V. 14 Anh, Vo V. 14 Antoine, Xavier 14 Broadbridge, Philip 14 Constanda, Christian 14 Dehghan Takht Fooladi, Mehdi 14 Ding, Feng 14 Frigaard, Ian A. 14 Han, Zhongjie 14 Il’ichev, Andreĭ Teĭmurazovich 14 Kim, Junseok 14 Kozlov, Vladimir A. 14 Li, Peijun 14 Lyalinov, Mikhail Anatolievich 14 McCue, Scott William 14 Pop, Iuliu Sorin 14 Ruan, Shigui 14 Song, Yongli 14 Srivastava, Hari Mohan 14 Wei, Junjie 14 Xu, Zhaoquan 13 Apalara, Tijani Abdulaziz 13 Arrigo, Daniel J. 13 Champneys, Alan R. 13 Djellouli, Rabia 13 Gandarias Núñez, Maria Luz 13 Gao, Yitian 13 Han, Weimin 13 Lin, Guo 13 Marin, Liviu ...and 11,653 more Authors all top 5 Cited in 640 Journals 300 Journal of Mathematical Analysis and Applications 277 Journal of Fluid Mechanics 251 Applied Mathematics and Computation 233 Mathematical Methods in the Applied Sciences 206 Journal of Differential Equations 198 ZAMP. 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Mathematical, Physical and Engineering Sciences 24 Applied Mathematics and Optimization 24 Ricerche di Matematica 23 Computational Mechanics 23 Journal of Integral Equations and Applications 23 Waves in Random and Complex Media 23 Journal of Theoretical Biology ...and 540 more Journals all top 5 Cited in 61 Fields 4,928 Partial differential equations (35-XX) 2,105 Fluid mechanics (76-XX) 1,939 Mechanics of deformable solids (74-XX) 1,699 Numerical analysis (65-XX) 1,336 Biology and other natural sciences (92-XX) 952 Ordinary differential equations (34-XX) 643 Dynamical systems and ergodic theory (37-XX) 474 Classical thermodynamics, heat transfer (80-XX) 453 Optics, electromagnetic theory (78-XX) 390 Systems theory; control (93-XX) 280 Operator theory (47-XX) 271 Statistical mechanics, structure of matter (82-XX) 254 Integral equations (45-XX) 245 Calculus of variations and optimal control; optimization (49-XX) 229 Probability theory and stochastic processes (60-XX) 165 Real functions (26-XX) 155 Geophysics (86-XX) 134 Mechanics of particles and systems (70-XX) 130 Special functions (33-XX) 104 Difference and functional equations (39-XX) 99 Global analysis, analysis on manifolds (58-XX) 97 Functions of a complex variable (30-XX) 93 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 89 Harmonic analysis on Euclidean spaces (42-XX) 82 Operations research, mathematical programming (90-XX) 81 Quantum theory (81-XX) 79 Approximations and expansions (41-XX) 77 Integral transforms, operational calculus (44-XX) 68 Functional analysis (46-XX) 66 Computer science (68-XX) 62 Potential theory (31-XX) 62 Information and communication theory, circuits (94-XX) 49 Linear and multilinear algebra; matrix theory (15-XX) 45 Statistics (62-XX) 36 Differential geometry (53-XX) 30 Combinatorics (05-XX) 24 Number theory (11-XX) 20 History and biography (01-XX) 17 Topological groups, Lie groups (22-XX) 13 General and overarching topics; collections (00-XX) 13 Measure and integration (28-XX) 11 Nonassociative rings and algebras (17-XX) 10 Astronomy and astrophysics (85-XX) 9 Algebraic geometry (14-XX) 9 Convex and discrete geometry (52-XX) 8 Relativity and gravitational theory (83-XX) 7 Manifolds and cell complexes (57-XX) 5 Sequences, series, summability (40-XX) 5 Abstract harmonic analysis (43-XX) 4 Geometry (51-XX) 4 Algebraic topology (55-XX) 3 Field theory and polynomials (12-XX) 3 Several complex variables and analytic spaces (32-XX) 3 General topology (54-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Mathematics education (97-XX) Citations by Year