# zbMATH — the first resource for mathematics

## Communications in Mathematical Sciences

 Short Title: Commun. Math. Sci. Publisher: International Press of Boston, Somerville, MA ISSN: 1539-6746; 1945-0796/e Online: https://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/index.htmlhttp://projecteuclid.org/cms
 Documents Indexed: 1,178 Publications (since 2003)
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#### Authors

 20 Majda, Andrew J. 16 Guo, Boling 15 Osher, Stanley Joel 13 E, Weinan 12 Tan, Zhong 12 Xin, Jack X. 11 Ha, Seung-Yeal 11 Liu, Chun 11 Liu, Jianguo 10 Engquist, Bjorn E. 10 Herty, Michael Matthias 9 Qi, Liqun 9 Ryzhik, Lenya 9 Zhang, Pingwen 8 Burger, Martin 8 Jin, Shi 8 Tsai, Yen-Hsi Richard 8 Vanden-Eijnden, Eric 7 Chalons, Christophe 7 Degond, Pierre 7 Golse, François 7 Lu, Jianfeng 7 Markowich, Peter Alexander 7 Wu, Jiahong 7 Zheng, Chunxiong 7 Zhou, Douglas 6 Bertozzi, Andrea Louise 6 Cai, David 6 Carrillo de la Plata, José Antonio 6 Du, Qiang 6 Garnier, Josselin 6 Heitzinger, Clemens 6 Jüngel, Ansgar 6 Kovačič, Gregor 6 Li, Tiejun 6 Li, Tong 6 Pego, Robert L. 6 Perthame, Benoît 6 Runborg, Olof 6 Stuart, Andrew M. 6 Yang, Xu 6 Ying, Lexing 5 Bal, Guillaume 5 Coquel, Frédéric 5 Desvillettes, Laurent 5 Ducomet, Bernard 5 Fan, Jishan 5 Han, Houde 5 Iyer, Gautam 5 Klar, Axel 5 Kurganov, Alexander 5 Lowengrub, John Samuel 5 Méhats, Florian 5 Piccoli, Benedetto 5 Qi, Yingyong 5 Rangan, Aaditya V. 5 Ringhofer, Christian A. 5 Seguin, Nicolas 5 Tadmor, Eitan 5 Titi, Edriss Saleh 5 Toscani, Giuseppe 5 Tosin, Andrea 5 Zhu, Changjiang 4 Abramov, Rafail V. 4 Arnold, Anton 4 Berthon, Christophe 4 Borgna, Juan Pablo 4 Brio, Moysey 4 Brull, Stephane 4 Colombo, Rinaldo M. 4 Constantin, Peter 4 Dolbeault, Jean 4 Emmrich, Etienne 4 Fatkullin, Ibrahim 4 Ferreira, Lucas Catão de Freitas 4 Gao, Hongjun 4 Goatin, Paola 4 Goudon, Thierry 4 Guo, Chunxiao 4 Huang, Zhongyi 4 Illner, Reinhard 4 Katsoulakis, Markos A. 4 Kukavica, Igor 4 LeFloch, Philippe Gerard 4 Liu, Hailiang 4 Mattingly, Jonathan Christopher 4 Milewski, Paul A. 4 Moloney, Jerome V. 4 Negulescu, Claudia 4 Novikov, Alexei 4 Ren, Weiqing 4 Sainte-Marie, Jacques 4 Scherzer, Otmar 4 Schmeiser, Christian 4 Schütte, Christof 4 Shen, Jie 4 Shi, Xiaoding 4 Sølna, Knut 4 Timofeyev, Ilya 4 Vasseur, Alexis F. ...and 1,643 more Authors
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#### Fields

 780 Partial differential equations (35-XX) 409 Fluid mechanics (76-XX) 321 Numerical analysis (65-XX) 191 Statistical mechanics, structure of matter (82-XX) 168 Probability theory and stochastic processes (60-XX) 109 Biology and other natural sciences (92-XX) 70 Ordinary differential equations (34-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 64 Dynamical systems and ergodic theory (37-XX) 56 Mechanics of deformable solids (74-XX) 51 Optics, electromagnetic theory (78-XX) 49 Operations research, mathematical programming (90-XX) 46 Geophysics (86-XX) 40 Information and communication theory, circuits (94-XX) 37 Quantum theory (81-XX) 36 Statistics (62-XX) 35 Classical thermodynamics, heat transfer (80-XX) 33 Systems theory; control (93-XX) 32 Integral equations (45-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Computer science (68-XX) 18 Operator theory (47-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Mechanics of particles and systems (70-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Real functions (26-XX) 9 Combinatorics (05-XX) 9 Differential geometry (53-XX) 8 Approximations and expansions (41-XX) 8 Integral transforms, operational calculus (44-XX) 7 Difference and functional equations (39-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Relativity and gravitational theory (83-XX) 4 Functional analysis (46-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Convex and discrete geometry (52-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

905 Publications have been cited 8,761 times in 6,981 Documents Cited by Year
The heterogeneous multiscale methods. Zbl 1093.35012
E, Weinan; Engquist, Bjorn
2003
Perron-Frobenius theorem for nonnegative tensors. Zbl 1147.15006
Chang, Kung-Ching; Pearson, Kelly; Zhang, Tan
2008
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit. Zbl 1177.92003
Ha, Seung-Yeal; Liu, Jian-Guo
2009
Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066
Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos
2003
Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models. Zbl 1127.35034
Cao, Yanping; Lunasin, Evelyn M.; Titi, Edriss S.
2006
Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system. Zbl 1192.34067
Ha, Seung-Yeal; Lee, Kiseop; Levy, Doron
2009
Kinetic models of opinion formation. Zbl 1195.91128
Toscani, Giuseppe
2006
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
2010
Semi-implicit spectral deferred correction methods for ordinary differential equations. Zbl 1088.65556
Minion, Michael L.
2003
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008
Kurganov, Alexander; Petrova, Guergana
2007
$$H^{+}$$-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134
Qi, Liqun
2014
The parabolic-parabolic Keller-Segel model in $$\mathbb R^2$$. Zbl 1149.35360
Calvez, Vincent; Corrias, Lucilla
2008
Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability. Zbl 1085.65513
Arnold, Anton; Ehrhardt, Matthias; Sofronov, Ivan
2003
Multiscale finite element methods for nonlinear problems and their applications. Zbl 1083.65105
Efendiev, Yalchin R.; Hou, Thomas Yizhao; Ginting, Victor
2004
A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay. Zbl 1282.35138
Lorz, Alexander
2012
Mean field games and systemic risk. Zbl 1337.91031
Carmona, René; Fouque, Jean-Pierre; Sun, Li-Hsien
2015
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Zbl 1133.35098
Emmrich, Etienne; Weckner, Olaf
2007
Emergence of phase-locked states for the Kuramoto model in a large coupling regime. Zbl 1383.92016
Ha, Seung-Yeal; Kim, Hwa Kil; Ryoo, Sang Woo
2016
On collision-avoiding initial configurations to Cucker-Smale type flocking models. Zbl 1321.92084
Ahn, Shin Mi; Choi, Heesun; Ha, Seung-Yeal; Lee, Ho
2012
Synchronization analysis of Kuramoto oscillators. Zbl 1301.34072
Dong, Jiu-Gang; Xue, Xiaoping
2013
Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A.
2009
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044
LeFloch, Philippe G.; Mai Duc Thanh
2003
PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092
Rätz, Andreas; Voigt, Axel
2006
The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302
Duan, Jinquiao; Schmalfuss, Björn
2003
Numerical techniques for multi-scale dynamical systems with stochastic effects. Zbl 1088.60060
Vanden-Eijnden, Eric
2003
On selection dynamics for continuous structured populations. Zbl 1176.45009
Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël
2008
Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation. Zbl 1085.65109
Hou, Thomas Y.; Wu, Xiao-Hui; Zhang, Yu
2004
On the complete phase synchronization for the Kuramoto model in the mean-field limit. Zbl 1345.37065
Benedetto, Dario; Caglioti, Emanuele; Montemagno, Umberto
2015
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004
Bao, Weizhu; Wang, Hanquan; Markowich, Peter A.
2005
Gauge method for viscous incompressible flows. Zbl 1160.76329
E, Weinan; Liu, Jian-Guo
2003
The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082
LeFloch, Philippe G.; Thanh, Mai Duc
2007
Fast linearized Bregman iteration for compressive sensing and sparse denoising. Zbl 1190.49040
Osher, Stanley; Mao, Yu; Dong, Bin; Yin, Wotao
2010
Stability estimates for a class of Helmholtz problems. Zbl 1135.35323
Hetmaniuk, U.
2007
A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations. Zbl 1090.35116
Jin, Shi; Osher, Stanley
2003
Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012
Bouchut, François; Westdickenberg, Michael
2004
A mathematical model for the hard sphere repulsion in ionic solutions. Zbl 1406.76089
Hyon, Yunkyong; Eisenberg, Bob; Liu, Chun
2011
On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224
2013
A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface. Zbl 1186.35168
Teigen, Knut Erik; Li, Xiangrong; Lowengrub, John; Wang, Fan; Voigt, Axel
2009
Convergence to equilibrium for a phase-field model for the mixture of two viscous incompressible fluids. Zbl 1183.35224
Zhao, Liyun; Wu, Hao; Huang, Haiyang
2009
Well-posedness of 3D vortex sheets with surface tension. Zbl 1130.76016
2007
Global existence for a 2D incompressible viscoelastic model with small strain. Zbl 1132.76008
Lei, Zhen; Liu, Chun; Zhou, Yi
2007
On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059
Shen, Jie; Tang, Tao; Yang, Jiang
2016
Analysis of optimal boundary control for radiative heat transfer modeled by the $$SP_1$$-system. Zbl 1145.49015
Pinnau, René
2007
Computational high-frequency wave propagation using the level set method with applications to the semi-classical limit of Schrödinger equations. Zbl 1084.35066
Cheng, Li-Tien; Liu, Hailiang; Osher, Stanley
2003
Large scale dynamics of precipitation fronts in the tropical atmosphere: a novel relaxation limit. Zbl 1160.86303
Frierson, Dargan M. W.; Majda, Andrew J.; Pauluis, Olivier M.
2004
An $$H^2$$ convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation. Zbl 1338.65221
Guo, Jing; Wang, Cheng; Wise, Steven M.; Yue, Xingye
2016
Nonlinear inverse scale space methods. Zbl 1106.68117
Burger, Martin; Gilboa, Guy; Osher, Stanley; Xu, Jinjun
2006
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
Qi, Liqun
2015
Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105
Carles, Rémi
2011
A stochastic epidemic model incorporating media coverage. Zbl 1344.92155
Cai, Yongli; Kang, Yun; Banerjee, Malay; Wang, Weiming
2016
Global weak solutions of 3D compressible micropolar fluids with discontinuous initial data and vacuum. Zbl 1309.35071
Chen, Mingtao; Xu, Xinying; Zhang, Jianwen
2015
High-order entropy-based closures for linear transport in slab geometry. Zbl 1284.82050
Hauck, Cory D.
2011
Analysis of the heterogeneous multiscale method for ordinary differential equations. Zbl 1088.65552
E, Weinan
2003
Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001
Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo
2015
Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031
Lions, Pierre-Louis; Souganidis, Panagiotis E.
2010
Ring patterns and their bifurcations in a nonlocal model of biological swarms. Zbl 1331.35044
Bertozzi, Andrea L.; Kolokolnikov, Theodore; Sun, Hui; Uminsky, David; von Brecht, James
2015
Network models for supply chains. Zbl 1115.90008
Göttlich, S.; Herty, M.; Klar, A.
2005
Infimal convolution regularizations with discrete $$\ell_1$$-type functionals. Zbl 1269.49063
Setzer, S.; Steidl, G.; Teuber, T.
2011
Finite-time blow-up of $$L^\infty$$-weak solutions of an aggregation equation. Zbl 1197.35061
Bertozzi, Andrea L.; Brandman, Jeremy
2010
Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038
Laurençot, Philippe; Perthame, Benoit
2009
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
2005
Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016
Schönlieb, Carola-Bibiane; Bertozzi, Andrea
2011
KPP pulsating front speed-up by flows. Zbl 1152.35055
Ryzhik, Lenya; Zlatos, Andrej
2007
Rayleigh-Bénard convection: dynamics and structure in the physical space. Zbl 1133.35426
Ma, Tian; Wang, Shouhong
2007
Dynamic bifurcation and stability in the Rayleigh-Bénard convection. Zbl 1133.76315
Ma, Tian; Wang, Shouhong
2004
Conservative multigrid methods for ternary Cahn-Hilliard systems. Zbl 1085.65093
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
2004
Gaussian beam methods for the Schrödinger equation in the semi-classical regime: Lagrangian and Eulerian formulations. Zbl 1161.81369
Jin, Shi; Wu, Hao; Yang, Xu
2008
Weak solutions for a bioconvection model related to Bacillus subtilis. Zbl 1302.35069
Vorotnikov, Dmitry
2014
Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems. Zbl 1182.65072
Lin, Lin; Lu, Jianfeng; Ying, Lexing; Car, Roberto; E, Weinan
2009
Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057
Constantin, Peter
2005
Compressible Navier-Stokes equations with temperature dependent heat conductivity. Zbl 1315.35173
Pan, Ronghua; Zhang, Weizhe
2015
On the Cahn-Hilliard-Brinkman system. Zbl 1330.35313
Bosia, Stefano; Conti, Monica; Grasselli, Maurizio
2015
Dynamics of the 3D fractional Ginzburg-Landau equation with multiplicative noise on an unbounded domain. Zbl 1331.37070
Lu, Hong; Bates, Peter W.; Lü, Shujuan; Zhang, Mingji
2015
Global existence and boundedness in a 2D Keller-Segel-Stokes system with nonlinear diffusion and rotational flux. Zbl 1351.35073
Li, Xie; Wang, Yulan; Xiang, Zhaoyin
2016
Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential. Zbl 1092.76007
Liu, Hailiang; Zhang, Hui; Zhang, Pingwen
2005
Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics. Zbl 1372.76115
Zhang, Jianwen; Zhao, Junning
2010
Strong convergence of principle of averaging for multiscale stochastic dynamical systems. Zbl 1208.60057
Liu, Di
2010
On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model. Zbl 1188.35135
Levant, Boris; Ramos, Fabio; Titi, Edriss S.
2010
Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum. Zbl 1280.35096
Luo, Zhen
2012
Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation. Zbl 1358.35136
Wu, Jiahong; Xu, Xiaojing; Xue, Liutang; Ye, Zhuan
2016
Effective one particle quantum dynamics of electrons: a numerical study of the Schrödinger-Poisson-X$$_\alpha$$ model. Zbl 1160.81497
Bao, Weizhu; Mauser, N. J.; Stimming, H. P.
2003
Small viscosity sharp estimates for the global attractor of the 2D damped-driven Navier-Stokes equations. Zbl 1084.35058
Ilyin, A. A.; Miranville, A.; Titi, E. S.
2004
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
2009
Diffuse interface modelling of soluble surfactants in two-phase flow. Zbl 1319.35309
Garcke, Harald; Lam, Kei Fong; Stinner, Björn
2014
Superpositions and higher order Gaussian beams. Zbl 1166.35345
Tanushev, Nicolay M.
2008
Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements. Zbl 1195.05038
2009
Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems. Zbl 1115.60036
Givon, Dror; Kevrekidis, Ioannis G.; Kupferman, Raz
2006
Conditional path sampling of SDEs and the Langevin MCMC method. Zbl 1082.65004
Stuart, Andrew M.; Voss, Jochen; Wiberg, Petter
2004
Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations. Zbl 1084.76020
Hong, Lan; Hunter, John K.
2003
$$L^1$$-stability of constants in a model for radiating gases. Zbl 1080.76047
Serre, Denis
2003
Relative entropy in hyperbolic relaxation. Zbl 1098.35104
Tzavaras, Athanasios E.
2005
Stability of the MUSCL schemes for the Euler equations. Zbl 1161.65344
Berthon, Christophe
2005
Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential. Zbl 1330.76012
Feireisl, Eduard; Rocca, Elisabetta; Schimperna, Giulio; Zarnescu, Arghir
2014
Stationary states of quadratic diffusion equations with long-range attraction. Zbl 1282.35203
Burger, Martin; Di Francesco, Marco; Franek, Marzena
2013
Kinetic theory for neuronal network dynamics. Zbl 1107.82037
Cai, David; Tao, Louis; Rangan, Aaditya V.; McLaughlin, David W.
2006
Scalar conservation laws with multiple rough fluxes. Zbl 1329.60210
Gess, Benjamin; Souganidis, Panagiotis E.
2015
S-ROCK methods for stiff Itô SDEs. Zbl 1162.60330
Abdulle, Assyr; Li, Tiejun
2008
Non incremental strategies based on separated representations: applications in computational rheology. Zbl 1281.76022
Ammar, A.; Normandin, M.; Daim, F.; González, D.; Cueto, E.; Chinesta, F.
2010
Vlasov-Fokker-Planck models for multilane traffic flow. Zbl 1153.82335
Illner, Reinhard; Klar, Axel; Materne, Thorsten
2003
Modeling and deriving porous media Stokes-Poisson-Nernst-Planck equations by a multi-scale approach. Zbl 1284.35052
Schmuck, Markus
2011
Recursively preconditioned hierarchical interpolative factorization for elliptic partial differential equations. Zbl 1437.65172
Feliu-Fabà, Jordi; Ho, Kenneth L.; Ying, Lexing
2020
An efficient and globally convergent algorithm for $$\ell_{p,q} - \ell_r$$ model in group sparse optimization. Zbl 1436.49037
Xue, Yunhua; Feng, Yanfei; Wu, Chunlin
2020
An open microscopic model of heat conduction: evolution and non-equilibrium stationary states. Zbl 1458.60103
Komorowski, Tomasz; Olla, Stefano; Simon, Marielle
2020
Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum. Zbl 1467.35242
Gong, Huajun; Li, Jinkai; Liu, Xian-Gao; Zhang, Xiaotao
2020
2D tropical climate model with fractional dissipation and without thermal diffusion. Zbl 1439.35479
Dong, Bo-Qing; Wu, Jiahong; Ye, Zhuan
2020
Optimal stopping via reinforced regression. Zbl 1440.60032
Belomestny, Denis; Schoenmakers, John; Spokoiny, Vladimir; Zharkynbay, Bakhyt
2020
A remark on the contact wave for the 1-D compressible Navier-Stokes equations. Zbl 1439.35410
Yang, Dong Cheng
2020
Existence of mild solutions and regularity criteria of weak solutions to the viscoelastic Navier-Stokes equation with damping. Zbl 1439.35377
Tan, Zhong; Wu, Wenpei; Zhou, Jianfeng
2020
Cauchy problem for thermoelastic plate equations with different damping mechanisms. Zbl 07327456
Chen, Wenhui
2020
Entropy supplementary conservation law for non-linear systems of PDEs with non-conservative terms: application to the modelling and analysis of complex fluid flows using computer algebra. Zbl 1460.35225
Cordesse, Pierre; Massot, Marc
2020
Numerical study of compressible Navier-Stokes-Cahn-Hilliard system. Zbl 1466.65064
He, Qiaolin; Shi, Xiaoding
2020
Forward backward doubly stochastic differential equations and the optimal filtering of diffusion processes. Zbl 1458.60067
Bao, Feng; Cao, Yanzhao; Han, Xiaoying
2020
Constraint energy minimizing generalized multiscale finite element method for dual continuum model. Zbl 1460.65119
Cheung, Siu Wun; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vasilyeva, Maria
2020
The local well-posedness to the density-dependent magnetic Bénard system with nonnegative density. Zbl 1460.35301
Zhong, Xin
2020
Inviscid limit to the shock waves for the fractal Burgers equation. Zbl 1462.35200
Akopian, Sona; Kang, Moon-Jin; Vasseur, Alexis
2020
Criteria for the $$a$$-contraction and stability for the piecewise-smooth solutions to hyperbolic balance laws. Zbl 1462.35198
Krupa, Sam G.
2020
Global existence for Nernst-Planck-Navier-Stokes system in $$\mathbb{R}^n$$. Zbl 1464.35186
Liu, Jian-Guo; Wang, Jinhuan
2020
Models of nonlinear acoustics viewed as an approximation of the Navier-Stokes and Euler compressible isentropic systems. Zbl 1467.35239
2020
Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure. Zbl 1467.35317
Bailo, Rafael; Carrillo, José A.; Hu, Jingwei
2020
Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: second-order, linear, unconditionally energy-stable schemes. Zbl 1450.65090
Xu, Chen; Chen, Chuanjun; Yang, Xiaofeng; He, Xiaoming
2019
Strong convergence of full-discrete nonlinearity-truncated accelerated exponential Euler-type approximations for stochastic Kuramoto-Sivashinsky equations. Zbl 1406.60102
Hutzenthaler, Martin; Jentzen, Arnulf; Salimova, Diyora
2019
Convergence to stratified flow for an inviscid 3D Boussinesq system. Zbl 1410.35142
Widmayer, Klaus
2019
A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy. Zbl 1423.60052
Dong, Lixiu; Wang, Cheng; Zhang, Hui; Zhang, Zhengru
2019
Topological protection of perturbed edge states. Zbl 1421.35305
Bal, Guillaume
2019
Stability and decay rates for a variant of the 2D Boussinesq-Bénard system. Zbl 1434.35128
Wu, Jiahong; Xu, Xiaojing; Zhu, Ning
2019
Sharp energy criteria and singularity of blow-up solutions for the Davey-Stewartson system. Zbl 1428.35544
Zhang, Jian; Zhu, Shihui
2019
A priori estimates of the population risk for two-layer neural networks. Zbl 1427.68277
Weinan, E.; Ma, Chao; Wu, Lei
2019
The Mori-Zwanzig formalism for the derivation of a fluctuating heat conduction model from molecular dynamics. Zbl 07077608
Chu, Weiqi; Li, Xiantao
2019
An elementary proof of convex phase retrieval in the natural parameter space via the linear program PhaseMax. Zbl 1441.94040
2019
A mesoscopic model of biological transportation networks. Zbl 1433.35416
Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene
2019
ODE- and PDE-based modeling of biological transportation networks. Zbl 1433.35421
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
2019
An optimization principle for initiation and adaptation of biological transport networks. Zbl 1429.92063
Hu, Dan; Cai, David
2019
On uniform second order nonlocal approximations to linear two-point boundary value problems. Zbl 1426.47013
Du, Qiang; Zhang, Jiwei; Zheng, Chunxiong
2019
Singularity formation for a fluid mechanics model with nonlocal velocity. Zbl 1433.35298
Tan, Changhui
2019
Determining a fractional Helmholtz equation with unknown source and scattering potential. Zbl 1433.35015
Cao, Xinlin; Liu, Hongyu
2019
Generalized Kelvin-Voigt equations for nonhomogeneous and incompressible fluids. Zbl 1433.35257
Antontsev, Stanislav N.; de Oliveira, Hermenegildo B.; Khompysh, Khonatbek
2019
The kinetic Fokker-Planck equation with weak confinement force. Zbl 1447.47060
Cao, Chuqi
2019
Dynamic bifurcation and transition in the Rayleigh-Bénard convection with internal heating and varying gravity. Zbl 1415.37097
Han, Daozhi; Hernandez, Marco; Wang, Quan
2019
Non reflection and perfect reflection via Fano resonance in waveguides. Zbl 1421.78017
Chesnel, Lucas; Nazarov, Sergei A.
2019
Corrector homogenization estimates for a non-stationary Stokes-Nernst-Planck-Poisson system in perforated domains. Zbl 1429.35021
2019
A data-driven method for the steady state of randomly perturbed dynamics. Zbl 07124786
Li, Yao
2019
Consistent mean field optimality conditions for interacting agent systems. Zbl 1428.82027
Herty, Michael; Ringhofer, Christian
2019
Uniqueness of weak solutions to the Boussinesq equations without thermal diffusion. Zbl 1433.35260
Boardman, Nicole; Ji, Ruihong; Qiu, Hua; Wu, Jiahong
2019
Bubble assemblies in ternary systems with long range interaction. Zbl 1434.82095
Wang, Chong; Ren, Xiaofeng; Zhao, Yanxiang
2019
Optimal human navigation in steep terrain: a Hamilton-Jacobi-Bellman approach. Zbl 1417.49033
Parkinson, Christian; Arnold, David; Bertozzi, Andrea L.; Chow, Yat Tin; Osher, Stanley
2019
De Giorgi techniques applied to Hamilton-Jacobi equations with unbounded right-hand side. Zbl 1415.35095
Stokols, Logan F.; Vasseur, Alexis F.
2019
Variant of optimality criteria method for multiple state optimal design problems. Zbl 1408.49001
Burazin, Krešimir; Crnjac, Ivana; Vrdoljak, Marko
2019
Interaction of the elementary waves of isentropic flow in a variable cross-section duct. Zbl 1410.35137
Sheng, Wancheng; Zhang, Qinglong
2019
Detection of conductivity inclusions in a semilinear elliptic problem arising from cardiac electrophysiology. Zbl 1412.65196
Beretta, Elena; Ratti, Luca; Verani, Marco
2019
Energy-stable second-order linear schemes for the Allen-Cahn phase-field equation. Zbl 1426.65140
Wang, Lin; Yu, Haijun
2019
Numerical stochastic homogenization by quasilocal effective diffusion tensors. Zbl 1420.65110
Gallistl, Dietmar; Peterseim, Daniel
2019
The continuum limit of the Kuramoto model on sparse random graphs. Zbl 1432.34045
Medvedev, Georgi S.
2019
On a nonlinear Schrödinger system arising in quadratic media. Zbl 1428.35498
Corcho, Adán J.; Correia, Simão; Oliveira, Filipe; Silva, Jorge D.
2019
Conditional regularity for the 3D incompressible MHD equations via partial components. Zbl 1428.35401
Wang, Huifang; Li, Yafei; Guo, Zheng Guang; Skalák, Zdenĕk
2019
About viscous approximations of the bitemperature Euler system. Zbl 1428.82057
Aregba-Driollet, Denise; Brull, Stéphane
2019
Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons. Zbl 1433.35429
Perthame, Benoît; Salort, Delphine
2019
Analysis of transient acoustic scattering by an elastic obstacle. Zbl 1430.35003
Li, Peijun; Zhang, Lei
2019
Periodic solutions to nonlinear Euler-Bernoulli beam equations. Zbl 07149233
Chen, Bochao; Gao, Yixian; Li, Yong
2019
Regularizing effect for conservation laws with a Lipschitz convex flux. Zbl 1439.35329
Guelmame, Billel; Junca, Stéphane; Clamond, Didier
2019
The regularity criteria on the magnetic field to the $$3D$$ incompressible MHD equations. Zbl 1434.35098
Guo, Xiang-Xiang; Du, Yi; Lu, Peng
2019
Instationary drift-diffusion problems with Gauss-Fermi statistics and field-dependent mobility for organic semiconductor devices. Zbl 1431.35206
Glitzky, Annegret; Liero, Matthias
2019
From the simple reacting sphere kinetic model to the reaction-diffusion system of Maxwell-Stefan type. Zbl 1419.82049
Anwasia, Benjamin; Gonçalves, Patrícia; Soares, Ana Jacinta
2019
Overlapping localized exponential time differencing methods for diffusion problems. Zbl 1410.65361
Hoang, Thi-Thao-Phuong; Ju, Lili; Wang, Zhu
2019
A splitting method for overcoming the curse of dimensionality in Hamilton-Jacobi equations arising from nonlinear optimal control and differential games with applications to trajectory generation. Zbl 07034982
Lin, Alex Tong; Chow, Yat Tin; Osher, Stanley J.
2019
Residual diffusivity in elephant random walk models with stops. Zbl 1409.60073
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
2019
A variational structure for interacting particle systems and their hydrodynamic scaling limits. Zbl 1428.35365
Kaiser, Marcus; Jack, Robert L.; Zimmer, Johannes
2019
Nonparametric Bayesian inference for Gamma-type Lévy subordinators. Zbl 1427.62020
Belomestny, Denis; Gugushvili, Shota; Schauer, Moritz; Spreij, Peter
2019
Optimal decay rates of the compressible magneto-micropolar fluids system in $$\mathbb R^3$$. Zbl 1428.35397
Tong, Leilei; Tan, Zhong
2019
On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model. Zbl 1428.74107
Bourgeois, Laurent; Chesnel, Lucas; Fliss, Sonia
2019
Multiple equilibria and transitions in spherical MHD equations. Zbl 1428.76232
Özer, Saadet; Şengül, Taylan; Wang, Quan
2019
Fast algorithm for computing nonlocal operators with finite interaction distance. Zbl 1428.82083
Tian, Xiaochuan; Engquist, Björn
2019
Patterns of complex oscillations and instability in chemical reactions. Zbl 1439.35471
Yao, Jinghua; Liu, Duchao; Wang, Xiaoyan
2019
Linearized asymptotic stability of rarefaction waves for gas dynamics in thermal nonequilibrium and life span of solutions. Zbl 1437.35082
Luo, Tao; Zhong, Hua
2019
Long-time asymptotic behavior for an extended modified Korteweg-de Vries equation. Zbl 1433.35343
Liu, Nan; Guo, Boling; Wang, Dengshan; Wang, Yufeng
2019
Convergence analysis of adaptive biasing potential methods for diffusion processes. Zbl 1422.60131
Benaïm, Michel; Bréhier, Charles-Edouard
2019
The 3D nonlinear dissipative system modeling electro-diffusion with blow-up in one direction. Zbl 1421.35281
Liu, Qiao
2019
A consistent kinetic model for a two-component mixture of polyatomic molecules. Zbl 1420.35174
Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella
2019
Boundary layer analysis for the fast horizontal rotating fluids. Zbl 1421.35283
Li, Wei-Xi; Ngo, Van-Sang; Xu, Chao-Jiang
2019
A scaling limit from the wave map to the heat flow into $$\mathbb{S}^2$$. Zbl 1418.35276
Jiang, Ning; Luo, Yi-Long; Tang, Shaojun; Zarnescu, Arghir
2019
Concentrating solutions of the relativistic Vlasov-Maxwell system. Zbl 1421.35367
Ben-Artzi, Jonathan; Calogero, Simone; Pankavich, Stephen
2019
A singular limit in a fractional reaction-diffusion equation with periodic coefficients. Zbl 1417.35069
Léculier, Alexis
2019
Global dissipative solutions of the Novikov equation. Zbl 1406.60045
Zhou, Shouming; Yang, Li; Mu, Chunlai
2019
Direct and inverse elastic scattering from a locally perturbed rough surface. Zbl 1410.35236
Hu, Guanghui; Yuan, Xiaokai; Zhao, Yue
2019
Some mathematical properties of the Weertman equation. Zbl 1406.45002
Josien, Marc
2019
A simple approach to temporal cloaking. Zbl 1410.35226
Eskin, Gregory
2019
A penalty method for some nonlinear variational obstacle problems. Zbl 1409.35009
Schaeffer, Hayden
2019
Approximate homogenization of convex nonlinear elliptic PDEs. Zbl 1412.35139
2019
Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Zbl 06996271
Antil, Harbir; Pfefferer, Johannes; Rogovs, Sergejs
2018
On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials. Zbl 1404.35456
Frigeri, Sergio; Lam, Kei Fong; Rocca, Elisabetta; Schimperna, Giulio
2018
Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays. Zbl 1427.34103
Pignotti, Cristina; Trélat, Emmanuel
2018
A hierarchy of dispersive layer-averaged approximations of Euler equations for free surface flows. Zbl 1408.35136
Fernández-Nieto, Enrique D.; Parisot, Martin; Penel, Yohan; Sainte-Marie, Jacques
2018
A note on the stability of implicit-explicit flux-splittings for stiff systems of hyperbolic conservation laws. Zbl 1390.35186
2018
Boltzmann-type models with uncertain binary interactions. Zbl 1402.35201
Tosin, Andrea; Zanella, Mattia
2018
Predicting extreme events for passive scalar turbulence in two-layer baroclinic flows through reduced-order stochastic models. Zbl 1395.76029
Qi, Di; Majda, Andrew J.
2018
Ergodicity and dynamics for the stochastic 3D Navier-Stokes equations with damping. Zbl 1390.35029
Liu, Hui; Gao, Hongjun
2018
A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling. Zbl 1402.65129
Crestetto, Anaïs; Crouseilles, Nicolas; Lemou, Mohammed
2018
The 3D incompressible Boussinesq equations with fractional partial dissipation. Zbl 1404.35373
Yang, Wanrong; Jiu, Quansen; Wu, Jiahong
2018
Initial-boundary value problem for 2D micropolar equations without angular viscosity. Zbl 1414.35170
Liu, Jitao; Wang, Shu
2018
Mean field limits for non-Markovian interacting particles: convergence to equilibrium, generic formalism, asymptotic limits and phase transitions. Zbl 1411.35135
Duong, Manh Hong; Pavliotis, Grigorios A.
2018
A modified Poisson-Nernst-Planck model with excluded volume effect: theory and numerical implementation. Zbl 1395.92015
Siddiqua, Farjana; Wang, Zhongming; Zhou, Shenggao
2018
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#### Cited by 7,653 Authors

 121 Ha, Seung-Yeal 69 Qi, Liqun 57 Carrillo de la Plata, José Antonio 52 Majda, Andrew J. 38 Abdulle, Assyr 35 Jin, Shi 32 Choi, Young-Pil 32 Degond, Pierre 31 Chung, Tsz Shun Eric 30 Du, Qiang 29 Kevrekidis, Ioannis George 29 Lu, Jianfeng 28 Herty, Michael Matthias 28 Wang, Bixiang 27 Burger, Martin 27 Liu, Hailiang 26 Jüngel, Ansgar 26 Mai Duc Thanh 25 Chebotarev, Alexander Yurievich 25 Efendiev, Yalchin R. 25 Osher, Stanley Joel 25 Winkler, Michael 23 Masmoudi, Nader 23 Wang, Cheng 23 Ying, Lexing 22 E, Weinan 22 Göttlich, Simone 22 Kurganov, Alexander 22 Liu, Jianguo 22 Toscani, Giuseppe 22 Yang, Xiaofeng 21 Li, Zhuchun 21 Shen, Jie 21 Souganidis, Panagiotis E. 21 Stuart, Andrew M. 20 Li, Chaoqian 20 Li, Yaotang 20 Liu, Chun 20 Pareschi, Lorenzo 20 Perthame, Benoît 19 Bao, Weizhu 19 Titi, Edriss Saleh 19 Wei, Yimin 19 Zhang, Xiongtao 18 Grasselli, Maurizio 18 Hauck, Cory D. 18 Zanella, Mattia 17 Garcke, Harald 17 Gunzburger, Max D. 17 He, Xiaoming 17 Park, Jinyeong 17 Qian, Jianliang 17 Wang, Xiaoming 17 Wise, Steven M. 17 Yang, Xu 17 Yun, Seok-Bae 17 Zhang, Pingwen 16 Chalons, Christophe 16 Cung The Anh 16 Dolbeault, Jean 16 Duan, Jinqiao 16 Kim, Doheon 16 Ko, Dongnam 16 Lowengrub, John Samuel 16 Süli, Endre E. 16 Tadmor, Eitan 16 Tsai, Yen-Hsi Richard 16 Vasseur, Alexis F. 16 Zhang, Mingji 15 Berthon, Christophe 15 Bu, Changjiang 15 Chinesta, Francisco 15 Desvillettes, Laurent 15 Kim, Jeongho 15 LeFloch, Philippe Gerard 15 Mangeney, Anne 15 Markowich, Peter Alexander 15 Minion, Michael L. 15 Samaey, Giovanni 15 Wang, Dehua 15 Wu, Hao 15 Wu, Jiahong 15 Xin, Jack X. 15 Zhang, Jiwei 15 Zheng, Chunxiong 14 Bisi, Marzia 14 Coclite, Giuseppe Maria 14 Gess, Benjamin 14 Harlim, John 14 Kang, Moon-Jin 14 Li, Yeping 14 Pavliotis, Grigorios A. 14 Rocca, Elisabetta 14 Song, Yisheng 14 Tan, Zhong 14 Wang, Quan 13 Bellomo, Nicola 13 Constantin, Peter 13 Fernández-Nieto, Enrique Domingo 13 Guo, Boling ...and 7,553 more Authors
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#### Cited in 485 Journals

 493 Journal of Computational Physics 269 Journal of Differential Equations 191 Journal of Scientific Computing 173 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 163 Journal of Mathematical Analysis and Applications 146 Journal of Computational and Applied Mathematics 132 SIAM Journal on Mathematical Analysis 123 Archive for Rational Mechanics and Analysis 121 Multiscale Modeling & Simulation 109 SIAM Journal on Scientific Computing 100 Computer Methods in Applied Mechanics and Engineering 96 Journal of Mathematical Physics 96 Discrete and Continuous Dynamical Systems. Series B 90 Discrete and Continuous Dynamical Systems 88 Journal of Statistical Physics 86 Kinetic and Related Models 83 Applied Mathematics and Computation 83 Physica D 83 Applied Numerical Mathematics 82 Computers & Mathematics with Applications 79 ZAMP. Zeitschrift für angewandte Mathematik und Physik 77 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 74 SIAM Journal on Numerical Analysis 70 Linear Algebra and its Applications 67 Nonlinearity 66 Mathematics of Computation 66 SIAM Journal on Applied Mathematics 63 Nonlinear Analysis. Real World Applications 62 Computers and Fluids 61 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 60 Journal of Fluid Mechanics 58 Numerische Mathematik 56 Mathematical Methods in the Applied Sciences 54 Journal of Nonlinear Science 53 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 52 Communications in Mathematical Physics 52 Journal of Mathematical Fluid Mechanics 49 Applied Mathematics Letters 48 Communications on Pure and Applied Mathematics 46 Networks and Heterogeneous Media 45 Inverse Problems 45 Frontiers of Mathematics in China 42 Journal of Mathematical Biology 42 Journal de Mathématiques Pures et Appliquées. Neuvième Série 41 Communications on Pure and Applied Analysis 40 Journal of Hyperbolic Differential Equations 38 Communications in Partial Differential Equations 38 Calculus of Variations and Partial Differential Equations 38 SIAM Journal on Applied Dynamical Systems 38 SIAM Journal on Imaging Sciences 38 Science China. Mathematics 37 Acta Applicandae Mathematicae 35 Stochastic Processes and their Applications 33 Applicable Analysis 32 Journal of Functional Analysis 32 Discrete and Continuous Dynamical Systems. Series S 29 BIT 28 Quarterly of Applied Mathematics 28 Chinese Annals of Mathematics. Series B 27 Numerical Methods for Partial Differential Equations 27 Journal of Mathematical Imaging and Vision 26 Linear and Multilinear Algebra 25 International Journal for Numerical Methods in Engineering 24 Bulletin of Mathematical Biology 24 The Annals of Applied Probability 24 Communications in Nonlinear Science and Numerical Simulation 24 Comptes Rendus. Mathématique. Académie des Sciences, Paris 23 SIAM Journal on Control and Optimization 23 Numerical Algorithms 23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 23 Journal of Evolution Equations 23 Journal of Theoretical Biology 23 SIAM/ASA Journal on Uncertainty Quantification 21 Mathematics and Computers in Simulation 21 Computational and Applied Mathematics 21 Research in the Mathematical Sciences 19 Applied Mathematical Modelling 19 Applied and Computational Harmonic Analysis 19 Advances in Computational Mathematics 18 NoDEA. Nonlinear Differential Equations and Applications 18 Mathematical Problems in Engineering 18 Abstract and Applied Analysis 17 Transactions of the American Mathematical Society 17 Computational Mechanics 17 Chaos 17 Foundations of Computational Mathematics 17 Analysis and Applications (Singapore) 17 Advances in Difference Equations 16 Applied Mathematics and Optimization 16 Journal of Dynamics and Differential Equations 16 European Journal of Mechanics. B. Fluids 16 Inverse Problems and Imaging 15 Advances in Mathematics 15 European Journal of Applied Mathematics 15 SIAM Review 15 Numerical Linear Algebra with Applications 15 Boundary Value Problems 14 International Journal for Numerical Methods in Fluids 14 Monatshefte für Mathematik 14 Proceedings of the American Mathematical Society ...and 385 more Journals
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#### Cited in 54 Fields

 3,896 Partial differential equations (35-XX) 2,223 Numerical analysis (65-XX) 2,188 Fluid mechanics (76-XX) 877 Biology and other natural sciences (92-XX) 768 Statistical mechanics, structure of matter (82-XX) 717 Probability theory and stochastic processes (60-XX) 376 Mechanics of deformable solids (74-XX) 356 Dynamical systems and ergodic theory (37-XX) 343 Calculus of variations and optimal control; optimization (49-XX) 340 Ordinary differential equations (34-XX) 297 Linear and multilinear algebra; matrix theory (15-XX) 244 Operations research, mathematical programming (90-XX) 202 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 199 Optics, electromagnetic theory (78-XX) 186 Systems theory; control (93-XX) 182 Geophysics (86-XX) 175 Information and communication theory, circuits (94-XX) 167 Classical thermodynamics, heat transfer (80-XX) 164 Quantum theory (81-XX) 161 Statistics (62-XX) 140 Operator theory (47-XX) 140 Computer science (68-XX) 130 Combinatorics (05-XX) 130 Integral equations (45-XX) 103 Mechanics of particles and systems (70-XX) 69 Harmonic analysis on Euclidean spaces (42-XX) 62 Global analysis, analysis on manifolds (58-XX) 57 Functional analysis (46-XX) 43 Differential geometry (53-XX) 42 Real functions (26-XX) 37 Approximations and expansions (41-XX) 34 Relativity and gravitational theory (83-XX) 30 Astronomy and astrophysics (85-XX) 27 Difference and functional equations (39-XX) 25 Integral transforms, operational calculus (44-XX) 15 Special functions (33-XX) 11 Measure and integration (28-XX) 11 Potential theory (31-XX) 8 General and overarching topics; collections (00-XX) 7 Convex and discrete geometry (52-XX) 6 Functions of a complex variable (30-XX) 5 Commutative algebra (13-XX) 5 Algebraic geometry (14-XX) 3 Field theory and polynomials (12-XX) 3 Topological groups, Lie groups (22-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX)