## SIAM Journal on Mathematical Analysis

 Short Title: SIAM J. Math. Anal. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ISSN: 0036-1410; 1095-7154/e Online: http://epubs.siam.org/loi/sjmaah Comments: Indexed cover-to-cover
 Documents Indexed: 5,680 Publications (since 1970) References Indexed: 1,418 Publications with 48,742 References.
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### Authors

 23 Miller, Willard jun. 23 Wei, Juncheng 21 Rahman, Mizan 20 Friedman, Avner 20 Yang, Tong 17 Carlson, Bille Chandler 17 Ismail, Mourad El-Houssieny 17 Xin, Zhouping 16 Colton, David Lem 15 Chen, Xinfu 15 Huang, Feimin 15 Logan, Benjamin F. 14 Gripenberg, Gustaf 14 Kalnins, Ernest G. 13 Jüngel, Ansgar 13 Krylov, Nicolaĭ Vladimirovich 13 Liu, Jianguo 13 Payne, Lawrence Edward 13 Showalter, Ralph E. 13 Vessella, Sergio 12 Ammari, Habib M. 12 Du, Yihong 12 Mei, Ming 12 Saut, Jean-Claude 12 Troy, William C. 12 Weinstein, Michael I. 12 Wong, Roderick Sue-Chuen 12 Zhu, Changjiang 11 Chen, Gui-Qiang G. 11 Fonseca, Irene 11 Frid, Hermano 11 Gasper, George Jun 11 Ha, Seung-Yeal 11 Hannsgen, Kenneth B. 11 Hu, Bei 11 Levine, Howard Allen 11 Müller, Stefan 11 Winkler, Michael 11 Zumbrun, Kevin R. 10 Carlitz, Leonard 10 Laurençot, Philippe 10 Nevai, Paul G. 10 Renardy, Michael 10 Shen, Zuowei 10 Zhang, Zhifei 9 Beretta, Elena 9 Bertsch, Michiel 9 Chui, Charles Kam-tai 9 Cohen, Albert 9 Dolezal, Vaclav 9 Dong, Hongjie 9 Dunster, T. M. 9 Elcrat, Alan R. 9 Hastings, Stuart P. 9 Jiang, Song 9 Kang, Kyungkeun 9 Kim, Jong Uhn 9 Koornwinder, Tom H. 9 Markowich, Peter Alexander 9 Novaga, Matteo 9 Otto, Felix 9 Pelinovsky, Dmitry Efimovich 9 Sandstede, Björn 9 Staffans, Olof Johan 9 Wang, Jenn-Nan 9 Wang, Yi 9 Wang, Yong 9 Ward, Joseph Dinneen 9 Wu, Jianhong 9 Zhao, Xiao-Qiang 8 Askey, Richard Allen 8 Babuška, Ivo 8 Bandle, Catherine 8 Bulíček, Miroslav 8 Daubechies, Ingrid Chantal 8 de la Llave, Rafael 8 Feireisl, Eduard 8 Geronimo, Jeffrey S. 8 Linares, Felipe 8 Mikelić, Andro 8 Muldoon, Martin E. 8 Nguyen, Toan Trong 8 Olver, Frank William John 8 Ren, Xiaofeng 8 Saff, Edward Barry 8 Vasseur, Alexis F. 8 Wu, Jiahong 7 Alessandrini, Giovanni 7 Bal, Guillaume 7 Bressan, Alberto 7 Bustoz, Joaquin jun. 7 Chandler-Wilde, Simon N. 7 Dafermos, Constantine M. 7 Damlamian, Alain 7 Elliott, Charles M. 7 Fischer, Julian 7 Garcke, Harald 7 Giga, Yoshikazu 7 Han, Bin 7 Jones, Christopher K. R. T. ...and 5,649 more Authors
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### Fields

 3,318 Partial differential equations (35-XX) 970 Fluid mechanics (76-XX) 818 Ordinary differential equations (34-XX) 425 Special functions (33-XX) 413 Calculus of variations and optimal control; optimization (49-XX) 397 Mechanics of deformable solids (74-XX) 337 Numerical analysis (65-XX) 335 Operator theory (47-XX) 316 Dynamical systems and ergodic theory (37-XX) 308 Biology and other natural sciences (92-XX) 306 Harmonic analysis on Euclidean spaces (42-XX) 302 Integral equations (45-XX) 290 Statistical mechanics, structure of matter (82-XX) 283 Approximations and expansions (41-XX) 233 Probability theory and stochastic processes (60-XX) 185 Optics, electromagnetic theory (78-XX) 161 Functional analysis (46-XX) 144 Integral transforms, operational calculus (44-XX) 133 Global analysis, analysis on manifolds (58-XX) 129 Real functions (26-XX) 129 Functions of a complex variable (30-XX) 110 Classical thermodynamics, heat transfer (80-XX) 92 Mechanics of particles and systems (70-XX) 91 Quantum theory (81-XX) 86 Potential theory (31-XX) 81 Differential geometry (53-XX) 80 Information and communication theory, circuits (94-XX) 69 Systems theory; control (93-XX) 66 Measure and integration (28-XX) 60 Difference and functional equations (39-XX) 47 Linear and multilinear algebra; matrix theory (15-XX) 46 Operations research, mathematical programming (90-XX) 39 Combinatorics (05-XX) 37 Geophysics (86-XX) 35 Sequences, series, summability (40-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Computer science (68-XX) 26 Astronomy and astrophysics (85-XX) 25 Abstract harmonic analysis (43-XX) 25 Statistics (62-XX) 23 Convex and discrete geometry (52-XX) 22 Number theory (11-XX) 22 Topological groups, Lie groups (22-XX) 13 Relativity and gravitational theory (83-XX) 12 Nonassociative rings and algebras (17-XX) 10 Several complex variables and analytic spaces (32-XX) 8 Group theory and generalizations (20-XX) 8 General topology (54-XX) 7 Geometry (51-XX) 5 Manifolds and cell complexes (57-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX)

### Citations contained in zbMATH Open

4,970 Publications have been cited 74,655 times in 51,717 Documents Cited by Year
Homogenization and two-scale convergence. Zbl 0770.35005
Allaire, Grégoire
1992
A general convergence result for a functional related to the theory of homogenization. Zbl 0688.35007
Nguetseng, Gabriel
1989
The variational formulation of the Fokker-Planck equation. Zbl 0915.35120
Jordan, Richard; Kinderlehrer, David; Otto, Felix
1998
Boundary integral operators on Lipschitz domains: Elementary results. Zbl 0644.35037
Costabel, Martin
1988
Discretized fractional calculus. Zbl 0624.65015
Lubich, Ch.
1986
Long-time behavior of a class of biological models. Zbl 0529.92010
Weinberger, H. F.
1982
Persistence in infinite-dimensional systems. Zbl 0692.34053
Hale, Jack K.; Waltman, Paul
1989
Modulational stability of ground states of nonlinear Schrödinger equations. Zbl 0583.35028
Weinstein, Michael I.
1985
Persistence under relaxed point-dissipativity (with application to an endemic model). Zbl 0774.34030
Thieme, Horst R.
1993
Geometric stability switch criteria in delay differential systems with delay dependent parameters. Zbl 1013.92034
Beretta, Edoardo; Kuang, Yang
2002
Global attractors and steady states for uniformly persistent dynamical systems. Zbl 1128.37016
Magal, Pierre; Zhao, Xiao-Qiang
2005
A geometric approach to global-stability problems. Zbl 0873.34041
Li, Michael Y.; Muldowney, James S.
1996
Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary. Zbl 1219.35373
Du, Yihong; Lin, Zhigui
2010
Asymptotic flocking dynamics for the kinetic Cucker-Smale model. Zbl 1223.35058
Carrillo, J. A.; Fornasier, M.; Rosado, J.; Toscani, G.
2010
On the Cahn-Hilliard equation with degenerate mobility. Zbl 0856.35071
Elliott, Charles M.; Garcke, Harald
1996
Some additional remarks on the nonexistence of global solutions to nonlinear wave equations. Zbl 0243.35069
Levine, Howard A.
1974
Extending geometric singular perturbation theory to nonhyperbolic points – fold and canard points in two dimensions. Zbl 1002.34046
Krupa, M.; Szmolyan, P.
2001
Derivation of the double porosity model of single phase flow via homogenization theory. Zbl 0698.76106
Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich
1990
Nonhomogeneous viscous incompressible fluids: Existence of velocity, density, and pressure. Zbl 0702.76039
Simon, Jacques
1990
Decomposition of Hardy functions into square integrable wavelets of constant shape. Zbl 0578.42007
Grossmann, A.; Morlet, J.
1984
The periodic unfolding method in homogenization. Zbl 1167.49013
Cioranescu, D.; Damlamian, A.; Griso, G.
2008
Formation of $$\delta$$-shocks and vacuum states in the vanishing pressure limit of solutions to the Euler equations for isentropic fluids. Zbl 1038.35035
Chen, Gui-Qiang; Liu, Hailiang
2003
Pseudoparabolic partial differential equations. Zbl 0199.42102
Showalter, R. E.; Ting, T. W.
1970
Behavior of solutions of 2D quasi-geostrophic equations. Zbl 0957.76093
Constantin, Peter; Wu, Jiahong
1999
Starlike and prestarlike hypergeometric functions. Zbl 0567.30009
Carlson, B. C.; Shaffer, Dorothy B.
1984
Systems of differential equations that are competitive or cooperative. II: Convergence almost everywhere. Zbl 0658.34023
Hirsch, Morris W.
1985
Systems of differential equations which are competitive or cooperative. I: Limit sets. Zbl 0494.34017
Hirsch, Morris W.
1982
The lifting scheme: A construction of second generation wavelets. Zbl 0911.42016
Sweldens, Wim
1998
Two-scale difference equations. II: Local regularity, infinite products of matrices, and fractals. Zbl 0788.42013
Daubechies, Ingrid; Lagarias, Jeffrey C.
1992
Blow-up in nonlocal reaction-diffusion equations. Zbl 0909.35073
Souplet, Philippe
1998
A class of bases in $$L^ 2$$ for the sparse representation of integral operators. Zbl 0764.42017
1993
Global weak solutions in a PDE-ODE system modeling multiscale cancer cell invasion. Zbl 1301.35189
Stinner, Christian; Surulescu, Christina; Winkler, Michael
2014
About lifespan of regular solutions of equations related to viscoelastic fluids. Zbl 1007.76003
2001
On the equivalence of viscosity solutions and weak solutions for a quasi-linear equation. Zbl 0997.35022
Juutinen, Petri; Lindqvist, Peter; Manfredi, Juan J.
2001
Barycenters in the Wasserstein space. Zbl 1223.49045
Agueh, Martial; Carlier, Guillaume
2011
Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. I: Linearized equations. Zbl 0681.35071
Dauge, Monique
1989
A chemotaxis-haptotaxis model: the roles of nonlinear diffusion and logistic source. Zbl 1259.35210
Tao, Youshan; Winkler, Michael
2011
Periodic solutions of single-species models with periodic delay. Zbl 0764.92016
Freedman, H. I.; Wu, Jianhong
1992
Global asymptotic stability of traveling waves in delayed reaction-diffusion equations. Zbl 0941.35125
Smith, Hal L.; Zhao, Xiao-Qiang
2000
Convergence rates for greedy algorithms in reduced basis methods. Zbl 1229.65193
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
2011
Blow-up solutions for a class of semilinear elliptic and parabolic equations. Zbl 0959.35065
Du, Yihong; Huang, Qingguang
1999
Two-scale difference equations. I: Existence and global regularity of solutions. Zbl 0763.42018
Daubechies, Ingrid; Lagarias, Jeffrey C.
1991
$$\mathcal A$$-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014
Fonseca, Irene; Müller, Stefan
1999
Global bifurcation of positive solutions in some systems of elliptic equations. Zbl 0613.35008
Blat, J.; Brown, K. J.
1986
Traveling wave solutions to combustion models and their singular limits. Zbl 0596.76096
Berestycki, Henri; Nicolaenko, Basil; Scheurer, Bruno
1985
Optimally sparse multidimensional representation using shearlets. Zbl 1197.42017
Guo, Kanghui; Labate, Demetrio
2007
Traffic flow on a road network. Zbl 1114.90010
Coclite, G. M.; Garavello, M.; Piccoli, B.
2005
Large time behavior in a multidimensional chemotaxis-haptotaxis model with slow signal diffusion. Zbl 1328.35103
Tao, Youshan; Winkler, Michael
2015
Conjecture on the structure of solutions of the Riemann problem for two- dimensional gas dynamics systems. Zbl 0726.35081
Zhang, Tong; Zheng, Yuxi
1990
Global existence and boundedness in reaction-diffusion systems. Zbl 0655.35045
Hollis, Selwyn L.; Martin, Robert H.; Pierre, Michel
1987
The existence of an infinite discrete set of transmission eigenvalues. Zbl 1210.35282
Cakoni, Fioralba; Gintides, Drossos; Haddar, Houssem
2010
Ergodic properties of linear dynamical systems. Zbl 0641.58034
Johnson, Russell A.; Palmer, Kenneth J.; Sell, George R.
1987
Uniqueness of a limit cycle for a predator-prey system. Zbl 0471.92021
Cheng, Kuo-Shung
1981
Stochastic Navier-Stokes equations for turbulent flows. Zbl 1062.60061
Mikulevicius, R.; Rozovskii, B. L.
2004
$$L^{\infty{}}$$ estimate for some nonlinear elliptic partial differential equations and application to an existence result. Zbl 0785.35033
Boccardo, L.; Murat, F.; Puel, J.-P.
1992
Spreading speeds and traveling waves for nonmonotone integrodifference equations. Zbl 1160.37031
Hsu, Sze-Bi; Zhao, Xiao-Qiang
2008
On a fourth-order degenerate parabolic equation: Global entropy estimates, existence, and qualitative behavior of solutions. Zbl 0929.35061
Dal Passo, Roberta; Garcke, Harald; Grün, Günther
1998
The Riemann-Hilbert problem and inverse scattering. Zbl 0685.34021
Zhou, Xin
1989
Traveling waves for monotone semiflows with weak compactness. Zbl 1315.35051
Fang, Jian; Zhao, Xiao-Qiang
2014
A set of orthogonal polynomials that generalize the Racah coefficients or 6-j symbols. Zbl 0437.33014
1979
Ill-posedness issues for the Benjamin-Ono and related equations. Zbl 0999.35085
Molinet, L.; Saut, J. C.; Tzvetkov, N.
2001
Serrin-type criterion for the three-dimensional viscous compressible flows. Zbl 1241.35161
Huang, Xiangdi; Li, Jing; Xin, Zhouping
2011
Long-time asymptotics for the Camassa-Holm equation. Zbl 1204.37073
Boutet De Monvel, Anne; Kostenko, Aleksey; Shepelsky, Dmitry; Teschl, Gerald
2009
On bound states concentrating on spheres for the Maxwell-Schrödinger equation. Zbl 1096.35017
D’Aprile, Teresa; Wei, Juncheng
2005
On concentration of positive bound states of nonlinear Schrödinger equations with competing potential functions. Zbl 0879.35053
Wang, Xuefeng; Zeng, Bin
1997
Localized tight frames on spheres. Zbl 1143.42034
Narcowich, F. J.; Petrushev, P.; Ward, J. D.
2007
Sharp estimate of the spreading speed determined by nonlinear free boundary problems. Zbl 1296.35219
Du, Yihong; Matsuzawa, Hiroshi; Zhou, Maolin
2014
Orthogonal polynomials, duality and association schemes. Zbl 0495.33006
Leonard, Douglas A.
1982
Diffusive logistic equations with indefinite weights: Population models in disrupted environments. II. Zbl 0726.92024
Cantrell, Robert Stephen; Cosner, Chris
1991
On a nonlinear parabolic problem arising in some models related to turbulent flows. Zbl 0808.35066
Diaz, Jesus Ildefonso; de Thelin, François
1994
Multivariate refinement equations and convergence of subdivision schemes. Zbl 0915.65143
Han, Bin; Jia, Rong-Qing
1998
Lower bounds for generalized Ginzburg–Landau functionals. Zbl 0928.35045
Jerrard, Robert L.
1999
Uniform asymptotic stability of evolutionary processes in a Banach space. Zbl 0241.34071
Datko, Richard
1972
Parameter dependence of propagation speed of travelling waves for competition-diffusion equations. Zbl 0821.34048
Kan-on, Yukio
1995
Global classical solutions to 3D compressible magnetohydrodynamic equations with large oscillations and vacuum. Zbl 1278.35195
Li, Hai-Liang; Xu, Xinying; Zhang, Jianwen
2013
The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion. Zbl 1293.35233
Cao, Chongsheng; Wu, Jiahong; Yuan, Baoquan
2014
The periodic unfolding method in domains with holes. Zbl 1250.49017
Cioranescu, D.; Damlamian, A.; Donato, P.; Griso, G.; Zaki, R.
2012
Existence and nonexistence of solitary wave solutions to higher-order model evolution equations. Zbl 0755.76023
1992
Subharmonic solutions for some second-order differential equations with singularities. Zbl 0787.34035
Fonda, Alessandro; Manásevich, Raúl; Zanolin, Fabio
1993
A free boundary problem arising in a model of wound healing. Zbl 0972.35193
Chen, Xinfu; Friedman, Avner
2000
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations. Zbl 0876.60047
Mao, Xuerong
1997
Global well-posedness for the two-dimensional incompressible chemotaxis-Navier-Stokes equations. Zbl 1444.35011
Zhang, Qian; Zheng, Xiaoxin
2014
Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations. Zbl 1141.76054
Mellet, A.; Vasseur, A.
2008
Frequency plateaus in a chain of weakly coupled oscillators. I. Zbl 0558.34033
Ermentrout, George Bard; Kopell, Nancy
1984
Some hypergeometric orthogonal polynomials. Zbl 0454.33007
Wilson, James A.
1980
Traveling waves of bistable dynamics on a lattice. Zbl 1050.37041
Bates, Peter W.; Chen, Xinfu; Chmaj, Adam J. J.
2003
A class of variational-hemivariational inequalities with applications to frictional contact problems. Zbl 1309.47068
Han, Weimin; Migórski, Stanisław; Sofonea, Mircea
2014
Large-data global generalized solutions in a chemotaxis system with tensor-valued sensitivities. Zbl 1330.35202
Winkler, Michael
2015
Determining a function from its mean values over a family of spheres. Zbl 1073.35144
Finch, David; Patch, Sarah K.; Rakesh
2004
Convergence and travelling fronts in functional differential equations with nonlocal terms: A competition model. Zbl 1040.92045
Gourley, Stephen A.; Ruan, Shigui
2003
Global weak solutions to a generalized hyperelastic-rod wave equation. Zbl 1100.35106
Coclite, G. M.; Holden, H.; Karlsen, K. H.
2005
Global structure of bifurcating solutions of some reaction-diffusion systems. Zbl 0501.35010
Nishiura, Y.
1982
Hidden variable fractal interpolation functions. Zbl 0704.26009
Barnsley, M. F.; Elton, J.; Hardin, D.; Massopust, P.
1989
Differentiability properties of solutions of the equation $$-\epsilon ^ 2\Delta u+ru=f(x,y)$$ in a square. Zbl 0732.35020
Han, H.; Kellogg, R. B.
1990
Some blowup results for a nonlinear parabolic equation with a gradient term. Zbl 0682.35010
Chipot, M.; Weissler, F. B.
1989
Asymptotic behavior of solutions of nonlinear Volterra equations with completely positive kernels. Zbl 0462.45025
Clement, Ph.; Nohel, J. A.
1981
Global solutions of the Hunter–Saxton equation. Zbl 1108.35024
2005
Monotoneity properties of solutions of Hermitian Riccati matrix differential equations. Zbl 0209.11601
Reid, W. T.
1970
Global existence of classical solutions for the two-dimensional Oldroyd model via the incompressible limit. Zbl 1130.76308
Lei, Zhen; Zhou, Yi
2005
Evolution of elastic curves in $$\mathbb R^n$$: Existence and computation. Zbl 1031.53092
Dziuk, Gerhard; Kuwert, Ernst; Schatzle, Reiner
2002
Double phase implicit obstacle problems with convection and multivalued mixed boundary value conditions. Zbl 1489.35045
Zeng, Shengda; Rădulescu, Vicenţiu D.; Winkert, Patrick
2022
The Bilaplacian with Robin boundary conditions. Zbl 1481.35162
Buoso, Davide; Kennedy, James B.
2022
Homoclinic solutions of periodic discrete Schrödinger equations with local superquadratic conditions. Zbl 1491.35405
Lin, Genghong; Yu, Jianshe
2022
The complex-scaled half-space matching method. Zbl 1481.35131
Bonnet-Ben Dhia, Anne-Sophie; Chandler-Wilde, Simon N.; Fliss, Sonia; Hazard, Christophe; Perfekt, Karl-Mikael; Tjandrawidjaja, Yohanes
2022
Generalized solutions to a chemotaxis-Navier-Stokes system with arbitrary superlinear degradation. Zbl 1483.92033
Ding, Mengyao; Lankeit, Johannes
2022
Lipschitz regularity of graph Laplacians on random data clouds. Zbl 1485.35153
Calder, Jeff; García Trillos, Nicolás; Lewicka, Marta
2022
The wave breaking for Whitham-type equations revisited. Zbl 1486.76015
Saut, Jean-Claude; Wang, Yuexun
2022
Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system. Zbl 1496.35228
Tao, Youshan; Winkler, Michael
2022
Szegö-Weinberger type inequalities for symmetric domains with holes. Zbl 1482.35141
Anoop, T. V.; Bobkov, Vladimir; Drábek, Pavel
2022
Mean field limits of particle-based stochastic reaction-diffusion models. Zbl 1482.35115
Isaacson, Samuel A.; Ma, Jingwei; Spiliopoulos, Konstantinos
2022
Rates of convergence for the continuum limit of nondominated sorting. Zbl 1484.35152
Cook, Brendan; Calder, Jeff
2022
Cauchy theory for general kinetic Vicsek models in collective dynamics and mean-field limit approximations. Zbl 07483940
Briant, Marc; Diez, Antoine; Merino-Aceituno, Sara
2022
Optimal regularity of mixed Dirichlet-conormal boundary value problems for parabolic operators. Zbl 1484.35103
Choi, Jongkeun; Dong, Hongjie; Li, Zongyuan
2022
Dynamics of threshold solutions for energy critical NLS with inverse square potential. Zbl 1483.35229
Yang, Kai; Zeng, Chongchun; Zhang, Xiaoyi
2022
Elliptic equations with degenerate weights. Zbl 1496.35128
Balci, Anna Kh.; Diening, Lars; Giova, Raffaella; di Napoli, Antonia Passarelli
2022
Zero-inertia limit: from particle swarm optimization to consensus-based optimization. Zbl 1500.90088
Cipriani, Cristina; Huang, Hui; Qiu, Jinniao
2022
Normalized solutions for lower critical Choquard equations with critical Sobolev perturbation. Zbl 1497.35145
Yao, Shuai; Chen, Haibo; Rădulescu, D.; Sun, Juntao
2022
The high dimensional Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry. I. Zbl 1494.35033
Du, Yihong; Ni, Wenjie
2022
On the diffusive limits of radiative heat transfer system. I: Well-prepared initial and boundary conditions. Zbl 07597592
Ghattassi, Mohamed; Huo, Xiaokai; Masmoudi, Nader
2022
Infinitely many embedded eigenvalues for the Neumann-Poincaré operator in 3D. Zbl 1483.31019
Li, Wei; Perfekt, Karl-Mikael; Shipman, Stephen P.
2022
Global solution to the Klein-Gordon-Zakharov equations with uniform energy bounds. Zbl 1482.35137
Dong, Shijie
2022
Ground states for the NLS equation with combined nonlinearities on noncompact metric graphs. Zbl 1483.35308
Pierotti, Dario; Soave, Nicola
2022
Weak solutions for a bifluid model for a mixture of two compressible noninteracting fluids with general boundary data. Zbl 07475770
Kračmar, Stanislav; Kwon, Young-Sam; Nečasová, Šárka; Novotný, Antonín
2022
Plasma echoes near stable Penrose data. Zbl 07475773
Grenier, Emmanuel; Nguyen, Toan T.; Rodnianski, Igor
2022
Rigorous justification of the Fokker-Planck equations of neural networks based on an iteration perspective. Zbl 1496.35389
Liu, Jian-Guo; Wang, Ziheng; Zhang, Yuan; Zhou, Zhennan
2022
Asymptotic stability of diffusion waves of a quasi-linear hyperbolic-parabolic model for vasculogenesis. Zbl 1484.35057
Liu, Qingqing; Peng, Hongyun; Wang, Zhi-An
2022
Vanishing capillarity limit of the Navier-Stokes-Korteweg system in one dimension with degenerate viscosity coefficient and discontinuous initial density. Zbl 1489.35181
Burtea, Cosmin; Haspot, Boris
2022
Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems. Zbl 1485.35419
Ammari, Habib; Chow, Yat Tin; Liu, Hongyu
2022
Nonmonotonicity of traveling wave profiles for a unimodal recursive system. Zbl 1485.35107
Fang, Jian; Pan, Yingli
2022
Propagation dynamics for time-periodic and partially degenerate reaction-diffusion systems. Zbl 1492.35088
Huang, Mingdi; Wu, Shi-Liang; Zhao, Xiao-Qiang
2022
Bounds on the heat transfer rate via passive advection. Zbl 07504990
Iyer, Gautam; Van, Truong-Son
2022
Two-dimensional point vortex dynamics in bounded domains: global existence for almost every initial data. Zbl 07453672
Martin, Donati
2022
Convergence of the Allen-Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to $$90^\circ$$. Zbl 1485.35020
Abels, Helmut; Moser, Maximilian
2022
Global existence analysis of energy-reaction-diffusion systems. Zbl 1483.35262
Fischer, Julian; Hopf, Katharina; Kniely, Michael; Mielke, Alexander
2022
Local continuity of weak solutions to the Stefan problem involving the singular $$p$$-Laplacian. Zbl 1487.35186
Liao, Naian
2022
Formation and construction of a multidimensional shock wave for the first-order hyperbolic conservation law with smooth initial data. Zbl 1487.35251
Huicheng, Yin; Lu, Zhu
2022
On the ill-posedness of the triple deck model. Zbl 07517190
Dietert, Helge; Gérard-Varet, David
2022
Global regularity for a nonlocal PDE describing evolution of polynomial roots under differentiation. Zbl 1500.35286
Kiselev, Alexander; Tan, Changhui
2022
Global well-posedness of classical solutions to the Cauchy problem of two-dimensional barotropic compressible Navier-Stokes system with vacuum and large initial data. Zbl 1491.35338
Huang, Xiangdi; Li, Jing
2022
The Cahn-Hilliard equation with forward-backward dynamic boundary condition via vanishing viscosity. Zbl 07541187
Colli, Pierluigi; Fukao, Takeshi; Scarpa, Luca
2022
On bounded two-dimensional globally dissipative Euler flows. Zbl 1494.76008
Gebhard, Björn; Kolumbán, József J.
2022
Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization. Zbl 1494.35011
Di Fratta, Giovanni; Monteil, Antonin; Slastikov, Valeriy
2022
Deterministic mean field games with control on the acceleration and state constraints. Zbl 1493.49039
Achdou, Yves; Mannucci, Paola; Marchi, Claudio; Tchou, Nicoletta
2022
Global strong and weak solutions to the initial-boundary-value problem of two-dimensional compressible MHD system with large initial data and vacuum. Zbl 1496.35310
Chen, Yazhou; Huang, Bin; Shi, Xiaoding
2022
Quantitative stability for eigenvalues of Schrödinger operator, quantitative bathtub principle, and application to the turnpike property for a bilinear optimal control problem. Zbl 1497.35480
Mazari, Idriss; Ruiz-Balet, Domènec
2022
Nonuniqueness in law for two-dimensional Navier-Stokes equations with diffusion weaker than a full Laplacian. Zbl 07562639
Yamazaki, Kazuo
2022
Weak-strong uniqueness for an elastic plate interacting with the Navier-Stokes equation. Zbl 07562641
Schwarzacher, Sebastian; Sroczinski, Matthias
2022
Monotone solutions of the master equation for mean field games with idiosyncratic noise. Zbl 1497.35471
Cardaliaguet, Pierre; Souganidis, Panagiotis
2022
Spectral instability of peakons in the $$b$$-family of the Camassa-Holm equations. Zbl 1496.35057
Lafortune, Stéphane; Pelinovsky, Dmitry E.
2022
Differentiability with respect to the initial condition for Hamilton-Jacobi equations. Zbl 1498.35168
Esteve-Yagüe, Carlos; Zuazua, Enrique
2022
Strichartz and local smoothing estimates for stochastic dispersive equations with linear multiplicative noise. Zbl 07620344
Zhang, Deng
2022
Scattering by curvatures, radiationless sources, transmission eigenfunctions, and inverse scattering problems. Zbl 1479.35838
Blåsten, Emilia L. K.; Liu, Hongyu
2021
Classification of nonnegative solutions to static Schrödinger-Hartree-Maxwell type equations. Zbl 1460.35058
Dai, Wei; Liu, Zhao; Qin, Guolin
2021
Deep network approximation for smooth functions. Zbl 07407717
Lu, Jianfeng; Shen, Zuowei; Yang, Haizhao; Zhang, Shijun
2021
Blaschke-Santaló diagram for volume, perimeter, and first Dirichlet eigenvalue. Zbl 1460.49033
Ftouhi, Ilias; Lamboley, Jimmy
2021
Spatial stationarity, ergodicity, and CLT for parabolic Anderson model with delta initial condition in dimension $$d \geq 1$$. Zbl 1461.60048
Khoshnevisan, Davar; Nualart, David; Pu, Fei
2021
An elliptic boundary value problem with fractional nonlinearity. Zbl 1479.35443
Abatangelo, Nicola; Cozzi, Matteo
2021
Global $$L^\infty$$-bounds and long-time behavior of a diffusive epidemic system in a heterogeneous environment. Zbl 1465.35063
Peng, Rui; Wu, Yixiang
2021
Nonunique weak solutions in Leray-Hopf class for the three-dimensional Hall-MHD system. Zbl 07412930
Dai, Mimi
2021
Reconstruction of the collision kernel in the nonlinear Boltzmann equation. Zbl 1459.35400
Lai, Ru-Yu; Uhlmann, Gunther; Yang, Yang
2021
Multilayered poroelasticity interacting with Stokes flow. Zbl 1477.74028
Bociu, Lorena; Canic, Sunčica; Muha, Boris; Webster, Justin T.
2021
Long time dynamics of nonradial solutions to inhomogeneous nonlinear Schrödinger equations. Zbl 1479.35776
Dinh, Van Duong; Keraani, Sahbi
2021
Growth of perturbations to the peaked periodic waves in the Camassa-Holm equation. Zbl 1467.35042
2021
Stationary solutions to the Anderson-Witting model of the relativistic Boltzmann equation in a bounded interval. Zbl 1460.35250
Hwang, Byung-Hoon; Yun, Seok-Bae
2021
On the discreteness of transmission eigenvalues for the Maxwell equations. Zbl 1458.35401
Cakoni, Fioralba; Nguyen, Hoai-Minh
2021
Hypocoercivity in Phi-entropy for the linear relaxation Boltzmann equation on the torus. Zbl 1462.35234
Evans, Josephine
2021
Ensemble Kalman sampler: mean-field limit and convergence analysis. Zbl 1468.35205
Ding, Zhiyan; Li, Qin
2021
Convergence to periodic probability solutions in Fokker-Planck equations. Zbl 1466.35345
Ji, Min; Qi, Weiwei; Shen, Zhongwei; Yi, Yingfei
2021
Continuous data assimilation for the three-dimensional Navier-Stokes equations. Zbl 1479.35602
Biswas, Animikh; Price, Randy
2021
Shock formation of the Burgers-Hilbert equation. Zbl 1475.35207
Yang, Ruoxuan
2021
Barycenters for the Hellinger-Kantorovich distance over $$\mathbb{R}^d$$. Zbl 1457.49032
Friesecke, Gero; Matthes, Daniel; Schmitzer, Bernhard
2021
Linear Schrödinger equation with an almost periodic potential. Zbl 1458.35025
Montalto, Riccardo; Procesi, Michela
2021
Lamination convex hull of stationary incompressible porous media equations. Zbl 1458.35333
Hitruhin, Lauri; Lindberg, Sauli
2021
Vanishing viscosity and surface tension limits of incompressible viscous surface waves. Zbl 1459.35314
Wang, Yanjin; Xin, Zhouping
2021
Motion of grain boundaries with dynamic lattice misorientations and with triple junctions drag. Zbl 1467.74020
Epshteyn, Yekaterina; Liu, Chun; Mizuno, Masashi
2021
On global-in-time weak solutions to a two-dimensional full compressible nonresistive MHD system. Zbl 1470.76110
Li, Yang; Sun, Yongzhong
2021
High order homogenization of the Stokes system in a periodic porous medium. Zbl 1465.35035
Feppon, Florian
2021
Nonunique admissible weak solutions of the compressible Euler equations with compact support in space. Zbl 1480.35314
Akramov, Ibrokhimbek; Wiedemann, Emil
2021
Maximal function estimates and local well-posedness for the generalized Zakharov-Kuznetsov equation. Zbl 1457.42031
Linares, Felipe; Ramos, João P. G.
2021
Finite-time blow-up prevention by logistic source in parabolic-elliptic chemotaxis models with singular sensitivity in any dimensional setting. Zbl 1455.35269
Kurt, Halil Ibrahim; Shen, Wenxian
2021
On the long time behavior of solutions to the intermediate long wave equation. Zbl 1475.37079
Muñoz, Claudio; Ponce, Gustavo; Saut, Jean-Claude
2021
On novel geometric structures of Laplacian eigenfunctions in $$\mathbb{R}^3$$ and applications to inverse problems. Zbl 1461.35167
Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun
2021
Taxis-driven formation of singular hotspots in a May-Nowak-type model for virus infection. Zbl 1461.35201
Tao, Youshan; Winkler, Michael
2021
Asymptotic behavior of solutions to an impermeable wall problem of the compressible fluid models of Korteweg-type with density-dependent viscosity and capillarity. Zbl 1462.35284
Chen, Zhengzheng; Li, Yeping
2021
Sonic-supersonic solutions to a mixed-type boundary value problem for the two-dimensional full Euler equations. Zbl 1465.35336
Hu, Yanbo; Chen, Jianjun
2021
Asymptotic stability of critical pulled fronts via resolvent expansions near the essential spectrum. Zbl 1462.35058
Avery, Montie; Scheel, Arnd
2021
Complex solutions and stationary scattering for the nonlinear Helmholtz equation. Zbl 1467.35174
Chen, Huyuan; Evéquoz, Gilles; Weth, Tobias
2021
Existence and hydrodynamic limit for a Paveri-Fontana-type kinetic traffic model. Zbl 1467.82072
Choi, Young-Pil; Yun, Seok-Bae
2021
Stable determination of a rigid scatterer in elastodynamics. Zbl 1462.35468
Rondi, Luca; Sincich, Eva; Sini, Mourad
2021
Asymptotic behavior of the basic reproduction ratio for periodic reaction-diffusion systems. Zbl 1480.35053
Zhang, Lei; Zhao, Xiao-Qiang
2021
Three-dimensional global supersonic Euler flows in the infinitely long divergent nozzles. Zbl 1457.35032
Xu, Gang; Yin, Huicheng
2021
Structural stability of the transonic shock problem in a divergent three-dimensional axisymmetric perturbed nozzle. Zbl 1464.35159
Weng, Shangkun; Xie, Chunjing; Xin, Zhouping
2021
Loss of double-integral character during relaxation. Zbl 1456.49014
Kreisbeck, Carolin; Zappale, Elvira
2021
Small data global regularity for the 3-D Ericksen-Leslie hyperbolic liquid crystal model without kinematic transport. Zbl 1460.35287
Huang, Jiaxi; Jiang, Ning; Luo, Yi-Long; Zhao, Lifeng
2021
Well-posedness of the MHD boundary layer system in Gevrey function space without structural assumption. Zbl 1472.35304
Li, Wei-Xi; Yang, Tong
2021
Pulse replication and accumulation of eigenvalues. Zbl 1490.35034
Carter, Paul; Rademacher, Jens D. M.; Sandstede, Björn
2021
Rigorous derivation from the water waves equations of some full dispersion shallow water models. Zbl 1468.76012
Emerald, Louis
2021
Anomalous dissipation, anomalous work, and energy balance for the Navier-Stokes equations. Zbl 1475.76019
Cheskidov, Alexey; Luo, Xiaoyutao
2021
Parameterization method for state-dependent delay perturbation of an ordinary differential equation. Zbl 1482.34193
Yang, Jiaqi; Gimeno, Joan; de la Llave, Rafael
2021
Future global stability for relativistic perfect fluids with linear equations of state $$P=K\rho$$ where $$1/3<K<1/2$$. Zbl 1476.35268
Oliynyk, Todd A.
2021
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### Cited by 36,069 Authors

 122 Li, Wan-Tong 110 Carrillo de la Plata, José Antonio 109 Wei, Juncheng 100 Ha, Seung-Yeal 97 Wang, Mingxin 93 Mu, Chunlai 91 Winkler, Michael 89 Zhao, Xiao-Qiang 86 Chu, Yuming 82 Guo, Boling 77 Agarwal, Ravi P. 77 Feireisl, Eduard 77 Srivastava, Hari Mohan 77 Zhu, Changjiang 74 Ammari, Habib M. 72 Ismail, Mourad El-Houssieny 72 Jüngel, Ansgar 70 Tan, Zhong 69 O’Regan, Donal 69 Ruan, Shigui 66 Du, Yihong 66 Rossi, Julio Daniel 65 Schwab, Christoph 65 Shen, Wenxian 65 Wu, Jiahong 64 Llibre, Jaume 64 Marcellán Español, Francisco 64 Temam, Roger Meyer 64 Yao, Zhengan 63 Migórski, Stanisław 62 Xin, Zhouping 60 Zumbrun, Kevin R. 59 Wang, Shu 59 Wu, Jianhua 58 Shi, Junping 57 Masmoudi, Nader 57 Yin, Zhaoyang 57 Zhao, Huijiang 56 Coclite, Giuseppe Maria 55 Wang, Zhi Cheng 54 Mielke, Alexander 53 Liu, Jianguo 52 Li, Yeping 52 Lin, Zhigui 52 Novaga, Matteo 52 Pelinovsky, Dmitry Efimovich 51 Gao, Hongjun 51 Yang, Tong 51 Zhang, Zhifei 50 Nečasová, Šárka 49 Dong, Hongjie 49 Liu, Hongyu 49 Valdinoci, Enrico 48 Chen, Gui-Qiang G. 48 Dehghan Takht Fooladi, Mehdi 48 Perthame, Benoît 47 Li, Fucai 47 Vazquez, Juan Luis 47 Wang, Dehua 47 Wu, Jianhong 46 Fan, Jishan 46 Han, Weimin 46 Lin, Guo 46 Uhlmann, Gunther Alberto 46 Wendland, Wolfgang L. 45 Nguyen Huy Tuan 45 Stefanelli, Ulisse 45 Sun, Qiyu 45 Wei, Junjie 44 Choi, Young-Pil 44 Hamel, François 43 Guo, Jong-Shenq 43 Huang, Feimin 43 Kühn, Christian 43 Roubíček, Tomáš 43 Tao, Youshan 43 Wang, Zhian 43 Wong, Roderick Sue-Chuen 43 Wu, Shiliang 43 Zheng, Jiashan 42 Guo, Shangjiang 42 Henderson, Johnny Lee 42 Lou, Yuan 42 Mei, Ming 42 Titi, Edriss Saleh 42 Vasseur, Alexis F. 42 Vinet, Luc 41 Conti, Sergio 41 Fonseca, Irene 41 Giga, Yoshikazu 41 Karlsen, Kenneth Hvistendahl 41 Schweizer, Ben 41 Xu, Junxiang 40 Jiang, Song 40 Li, Peijun 40 Smith, Hal Leslie 40 Wang, Miaokun 40 Wen, Huanyao 40 Yamamoto, Masahiro 40 Yuan, Rong ...and 35,969 more Authors
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 2,898 Journal of Differential Equations 2,830 Journal of Mathematical Analysis and Applications 1,329 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 974 Archive for Rational Mechanics and Analysis 910 Journal of Computational and Applied Mathematics 895 SIAM Journal on Mathematical Analysis 848 Applied Mathematics and Computation 793 Nonlinear Analysis. Real World Applications 777 Journal of Mathematical Physics 765 Applicable Analysis 629 Discrete and Continuous Dynamical Systems 627 ZAMP. Zeitschrift für angewandte Mathematik und Physik 592 Computers & Mathematics with Applications 579 Physica D 579 Discrete and Continuous Dynamical Systems. Series B 565 Calculus of Variations and Partial Differential Equations 527 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 508 Proceedings of the American Mathematical Society 500 Communications in Mathematical Physics 484 Journal of Functional Analysis 482 Mathematical Methods in the Applied Sciences 481 Communications in Partial Differential Equations 458 Transactions of the American Mathematical Society 456 Applied Mathematics Letters 452 Journal of Computational Physics 450 Journal of Approximation Theory 426 Nonlinear Analysis. Theory, Methods & Applications 393 Journal de Mathématiques Pures et Appliquées. Neuvième Série 381 Communications on Pure and Applied Analysis 372 Journal of Dynamics and Differential Equations 346 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 324 Mathematics of Computation 320 Applied and Computational Harmonic Analysis 310 Boundary Value Problems 296 Journal of Mathematical Biology 296 Numerische Mathematik 293 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 288 Nonlinearity 284 Computer Methods in Applied Mechanics and Engineering 272 Journal of Nonlinear Science 269 Journal of Scientific Computing 269 Journal of Mathematical Fluid Mechanics 267 Acta Applicandae Mathematicae 264 Applied Numerical Mathematics 259 SIAM Journal on Applied Mathematics 253 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 249 Advances in Mathematics 244 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 237 Linear Algebra and its Applications 225 Chaos, Solitons and Fractals 219 Abstract and Applied Analysis 217 Annali di Matematica Pura ed Applicata. Serie Quarta 214 Journal of Evolution Equations 208 Journal of Statistical Physics 206 Journal of Mathematical Sciences (New York) 198 Discrete and Continuous Dynamical Systems. Series S 196 NoDEA. Nonlinear Differential Equations and Applications 194 Inverse Problems 193 Comptes Rendus. Mathématique. Académie des Sciences, Paris 187 Advances in Difference Equations 185 Advances in Computational Mathematics 183 Quarterly of Applied Mathematics 183 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 179 Mathematische Annalen 178 Communications in Nonlinear Science and Numerical Simulation 171 Rocky Mountain Journal of Mathematics 170 Mathematical and Computer Modelling 169 Integral Transforms and Special Functions 169 SIAM Journal on Applied Dynamical Systems 166 European Journal of Applied Mathematics 166 The Journal of Fourier Analysis and Applications 165 SIAM Journal on Scientific Computing 162 Applied Mathematics and Optimization 162 SIAM Journal on Numerical Analysis 159 Mathematical Biosciences 159 Science China. Mathematics 151 Journal of Hyperbolic Differential Equations 143 Applied Mathematical Modelling 142 Constructive Approximation 138 Kinetic and Related Models 137 Numerical Functional Analysis and Optimization 137 Acta Mathematica Sinica. English Series 137 Communications in Contemporary Mathematics 136 Bulletin of Mathematical Biology 136 Journal of Difference Equations and Applications 134 Stochastic Processes and their Applications 132 Numerical Algorithms 131 Journal of Fluid Mechanics 130 Inverse Problems and Imaging 126 Acta Mathematicae Applicatae Sinica. English Series 124 Mathematical Biosciences and Engineering 123 Journal of Inequalities and Applications 123 Analysis and Applications (Singapore) 119 Multiscale Modeling & Simulation 118 Results in Mathematics 116 Journal of Integral Equations and Applications 116 International Journal of Wavelets, Multiresolution and Information Processing 115 Mathematics and Computers in Simulation 115 Journal of Elasticity 113 Communications on Pure and Applied Mathematics ...and 954 more Journals
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### Cited in 63 Fields

 28,661 Partial differential equations (35-XX) 8,326 Fluid mechanics (76-XX) 7,425 Numerical analysis (65-XX) 6,739 Ordinary differential equations (34-XX) 5,965 Biology and other natural sciences (92-XX) 3,692 Dynamical systems and ergodic theory (37-XX) 3,292 Mechanics of deformable solids (74-XX) 3,013 Calculus of variations and optimal control; optimization (49-XX) 2,769 Operator theory (47-XX) 2,631 Probability theory and stochastic processes (60-XX) 2,560 Harmonic analysis on Euclidean spaces (42-XX) 2,346 Special functions (33-XX) 2,143 Statistical mechanics, structure of matter (82-XX) 1,668 Integral equations (45-XX) 1,483 Approximations and expansions (41-XX) 1,357 Systems theory; control (93-XX) 1,311 Functional analysis (46-XX) 1,303 Optics, electromagnetic theory (78-XX) 1,202 Real functions (26-XX) 1,144 Quantum theory (81-XX) 991 Global analysis, analysis on manifolds (58-XX) 887 Information and communication theory, circuits (94-XX) 800 Functions of a complex variable (30-XX) 789 Classical thermodynamics, heat transfer (80-XX) 774 Difference and functional equations (39-XX) 757 Mechanics of particles and systems (70-XX) 704 Differential geometry (53-XX) 650 Operations research, mathematical programming (90-XX) 598 Statistics (62-XX) 568 Computer science (68-XX) 562 Integral transforms, operational calculus (44-XX) 560 Linear and multilinear algebra; matrix theory (15-XX) 540 Combinatorics (05-XX) 527 Geophysics (86-XX) 523 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 449 Measure and integration (28-XX) 391 Number theory (11-XX) 372 Potential theory (31-XX) 260 Abstract harmonic analysis (43-XX) 190 Relativity and gravitational theory (83-XX) 180 Nonassociative rings and algebras (17-XX) 161 Topological groups, Lie groups (22-XX) 151 Astronomy and astrophysics (85-XX) 113 Convex and discrete geometry (52-XX) 111 Several complex variables and analytic spaces (32-XX) 100 Algebraic geometry (14-XX) 99 Group theory and generalizations (20-XX) 98 General topology (54-XX) 96 Sequences, series, summability (40-XX) 68 History and biography (01-XX) 67 General and overarching topics; collections (00-XX) 51 Associative rings and algebras (16-XX) 42 Manifolds and cell complexes (57-XX) 36 Geometry (51-XX) 34 Commutative algebra (13-XX) 29 Algebraic topology (55-XX) 22 Field theory and polynomials (12-XX) 13 Mathematical logic and foundations (03-XX) 12 Mathematics education (97-XX) 11 Category theory; homological algebra (18-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 3 $$K$$-theory (19-XX) 1 General algebraic systems (08-XX)