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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.html
http://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)

Publications by Year

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
310
2003
Perron-Frobenius theorem for nonnegative tensors. Zbl 1147.15006
Chang, Kung-Ching; Pearson, Kelly; Zhang, Tan
245
2008
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit. Zbl 1177.92003
Ha, Seung-Yeal; Liu, Jian-Guo
192
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
149
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.
95
2006
Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system. Zbl 1192.34067
Ha, Seung-Yeal; Lee, Kiseop; Levy, Doron
91
2009
Kinetic models of opinion formation. Zbl 1195.91128
Toscani, Giuseppe
89
2006
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
86
2010
Semi-implicit spectral deferred correction methods for ordinary differential equations. Zbl 1088.65556
Minion, Michael L.
84
2003
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008
Kurganov, Alexander; Petrova, Guergana
82
2007
\(H^{+}\)-eigenvalues of Laplacian and signless Laplacian tensors. Zbl 1305.05134
Qi, Liqun
75
2014
The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\). Zbl 1149.35360
Calvez, Vincent; Corrias, Lucilla
73
2008
Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability. Zbl 1085.65513
Arnold, Anton; Ehrhardt, Matthias; Sofronov, Ivan
65
2003
Multiscale finite element methods for nonlinear problems and their applications. Zbl 1083.65105
Efendiev, Yalchin R.; Hou, Thomas Yizhao; Ginting, Victor
64
2004
A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay. Zbl 1282.35138
Lorz, Alexander
63
2012
Mean field games and systemic risk. Zbl 1337.91031
Carmona, René; Fouque, Jean-Pierre; Sun, Li-Hsien
59
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
57
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
55
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
54
2012
Synchronization analysis of Kuramoto oscillators. Zbl 1301.34072
Dong, Jiu-Gang; Xue, Xiaoping
54
2013
Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A.
49
2009
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044
LeFloch, Philippe G.; Mai Duc Thanh
48
2003
PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092
Rätz, Andreas; Voigt, Axel
48
2006
The 3D quasigeostrophic fluid dynamics under random forcing on boundary. Zbl 1153.86302
Duan, Jinquiao; Schmalfuss, Björn
47
2003
Numerical techniques for multi-scale dynamical systems with stochastic effects. Zbl 1088.60060
Vanden-Eijnden, Eric
46
2003
On selection dynamics for continuous structured populations. Zbl 1176.45009
Desvillettes, Laurent; Jabin, Pierre Emmanuel; Mischler, Stéphane; Raoul, Gaël
46
2008
On the complete phase synchronization for the Kuramoto model in the mean-field limit. Zbl 1345.37065
Benedetto, Dario; Caglioti, Emanuele; Montemagno, Umberto
45
2015
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
45
2004
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004
Bao, Weizhu; Wang, Hanquan; Markowich, Peter A.
44
2005
Gauge method for viscous incompressible flows. Zbl 1160.76329
E, Weinan; Liu, Jian-Guo
44
2003
Fast linearized Bregman iteration for compressive sensing and sparse denoising. Zbl 1190.49040
Osher, Stanley; Mao, Yu; Dong, Bin; Yin, Wotao
43
2010
The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082
LeFloch, Philippe G.; Thanh, Mai Duc
43
2007
Stability estimates for a class of Helmholtz problems. Zbl 1135.35323
Hetmaniuk, U.
42
2007
On the local existence of analytic solutions to the Prandtl boundary layer equations. Zbl 1291.35224
Kukavica, Igor; Vicol, Vlad
40
2013
A mathematical model for the hard sphere repulsion in ionic solutions. Zbl 1406.76089
Hyon, Yunkyong; Eisenberg, Bob; Liu, Chun
40
2011
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
40
2009
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
40
2003
Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012
Bouchut, François; Westdickenberg, Michael
40
2004
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
38
2009
On the maximum principle preserving schemes for the generalized Allen-Cahn equation. Zbl 1361.65059
Shen, Jie; Tang, Tao; Yang, Jiang
38
2016
Well-posedness of 3D vortex sheets with surface tension. Zbl 1130.76016
Ambrose, David M.; Masmoudi, Nader
38
2007
Global existence for a 2D incompressible viscoelastic model with small strain. Zbl 1132.76008
Lei, Zhen; Liu, Chun; Zhou, Yi
38
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
37
2003
Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system. Zbl 1145.49015
Pinnau, René
37
2007
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.
35
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
35
2016
Nonlinear Schrödinger equation with time dependent potential. Zbl 1285.35105
Carles, Rémi
33
2011
Nonlinear inverse scale space methods. Zbl 1106.68117
Burger, Martin; Gilboa, Guy; Osher, Stanley; Xu, Jinjun
33
2006
Hankel tensors: associated Hankel matrices and Vandermonde decomposition. Zbl 1331.15020
Qi, Liqun
33
2015
A stochastic epidemic model incorporating media coverage. Zbl 1344.92155
Cai, Yongli; Kang, Yun; Banerjee, Malay; Wang, Weiming
32
2016
High-order entropy-based closures for linear transport in slab geometry. Zbl 1284.82050
Hauck, Cory D.
31
2011
Global weak solutions of 3D compressible micropolar fluids with discontinuous initial data and vacuum. Zbl 1309.35071
Chen, Mingtao; Xu, Xinying; Zhang, Jianwen
31
2015
Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001
Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo
30
2015
Stochastic homogenization of Hamilon-Jacobi and “viscous”-Hamilton-Jacobi equations with convex nonlinearities – revisited. Zbl 1197.35031
Lions, Pierre-Louis; Souganidis, Panagiotis E.
30
2010
Analysis of the heterogeneous multiscale method for ordinary differential equations. Zbl 1088.65552
E, Weinan
30
2003
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
30
2015
Infimal convolution regularizations with discrete \(\ell_1\)-type functionals. Zbl 1269.49063
Setzer, S.; Steidl, G.; Teuber, T.
29
2011
Finite-time blow-up of \(L^\infty \)-weak solutions of an aggregation equation. Zbl 1197.35061
Bertozzi, Andrea L.; Brandman, Jeremy
29
2010
Network models for supply chains. Zbl 1115.90008
Göttlich, S.; Herty, M.; Klar, A.
29
2005
Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016
Schönlieb, Carola-Bibiane; Bertozzi, Andrea
28
2011
Analysis of SPDEs arising in path sampling. I: The Gaussian case. Zbl 1138.60326
Hairer, M.; Stuart, A. M.; Voss, J.; Wiberg, P.
28
2005
Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038
Laurençot, Philippe; Perthame, Benoit
28
2009
KPP pulsating front speed-up by flows. Zbl 1152.35055
Ryzhik, Lenya; Zlatos, Andrej
28
2007
Rayleigh-Bénard convection: dynamics and structure in the physical space. Zbl 1133.35426
Ma, Tian; Wang, Shouhong
27
2007
Weak solutions for a bioconvection model related to Bacillus subtilis. Zbl 1302.35069
Vorotnikov, Dmitry
26
2014
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
26
2008
Dynamic bifurcation and stability in the Rayleigh-Bénard convection. Zbl 1133.76315
Ma, Tian; Wang, Shouhong
26
2004
Conservative multigrid methods for ternary Cahn-Hilliard systems. Zbl 1085.65093
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
26
2004
On the Cahn-Hilliard-Brinkman system. Zbl 1330.35313
Bosia, Stefano; Conti, Monica; Grasselli, Maurizio
25
2015
Nonlinear Fokker-Planck Navier-Stokes systems. Zbl 1110.35057
Constantin, Peter
25
2005
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
25
2009
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
25
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
25
2016
Compressible Navier-Stokes equations with temperature dependent heat conductivity. Zbl 1315.35173
Pan, Ronghua; Zhang, Weizhe
25
2015
Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum. Zbl 1280.35096
Luo, Zhen
24
2012
Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics. Zbl 1372.76115
Zhang, Jianwen; Zhao, Junning
24
2010
Strong convergence of principle of averaging for multiscale stochastic dynamical systems. Zbl 1208.60057
Liu, Di
24
2010
On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model. Zbl 1188.35135
Levant, Boris; Ramos, Fabio; Titi, Edriss S.
24
2010
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
24
2005
Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation. Zbl 1358.35136
Wu, Jiahong; Xu, Xiaojing; Xue, Liutang; Ye, Zhuan
24
2016
Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems. Zbl 1115.60036
Givon, Dror; Kevrekidis, Ioannis G.; Kupferman, Raz
23
2006
A fast directional algorithm for high frequency acoustic scattering in two dimensions. Zbl 1182.65178
Engquist, Björn; Ying, Lexing
23
2009
Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements. Zbl 1195.05038
Banaji, Murad; Craciun, Gheorghe
23
2009
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.
23
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.
23
2004
Diffuse interface modelling of soluble surfactants in two-phase flow. Zbl 1319.35309
Garcke, Harald; Lam, Kei Fong; Stinner, Björn
23
2014
Superpositions and higher order Gaussian beams. Zbl 1166.35345
Tanushev, Nicolay M.
23
2008
Stationary states of quadratic diffusion equations with long-range attraction. Zbl 1282.35203
Burger, Martin; Di Francesco, Marco; Franek, Marzena
22
2013
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
22
2014
Relative entropy in hyperbolic relaxation. Zbl 1098.35104
Tzavaras, Athanasios E.
22
2005
Stability of the MUSCL schemes for the Euler equations. Zbl 1161.65344
Berthon, Christophe
22
2005
Conditional path sampling of SDEs and the Langevin MCMC method. Zbl 1082.65004
Stuart, Andrew M.; Voss, Jochen; Wiberg, Petter
22
2004
Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations. Zbl 1084.76020
Hong, Lan; Hunter, John K.
22
2003
\(L^1\)-stability of constants in a model for radiating gases. Zbl 1080.76047
Serre, Denis
22
2003
Scalar conservation laws with multiple rough fluxes. Zbl 1329.60210
Gess, Benjamin; Souganidis, Panagiotis E.
21
2015
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.
21
2010
Kinetic theory for neuronal network dynamics. Zbl 1107.82037
Cai, David; Tao, Louis; Rangan, Aaditya V.; McLaughlin, David W.
21
2006
S-ROCK methods for stiff Itô SDEs. Zbl 1162.60330
Abdulle, Assyr; Li, Tiejun
21
2008
Multi-scale methods for wave propagation in heterogeneous media. Zbl 1281.65110
Engquist, Björn; Holst, Henrik; Runborg, Olof
20
2011
Modeling and deriving porous media Stokes-Poisson-Nernst-Planck equations by a multi-scale approach. Zbl 1284.35052
Schmuck, Markus
20
2011
Recursively preconditioned hierarchical interpolative factorization for elliptic partial differential equations. Zbl 1437.65172
Feliu-Fabà, Jordi; Ho, Kenneth L.; Ying, Lexing
5
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
3
2020
An open microscopic model of heat conduction: evolution and non-equilibrium stationary states. Zbl 1458.60103
Komorowski, Tomasz; Olla, Stefano; Simon, Marielle
2
2020
Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum. Zbl 1467.35242
Gong, Huajun; Li, Jinkai; Liu, Xian-Gao; Zhang, Xiaotao
2
2020
Optimal stopping via reinforced regression. Zbl 1440.60032
Belomestny, Denis; Schoenmakers, John; Spokoiny, Vladimir; Zharkynbay, Bakhyt
1
2020
A remark on the contact wave for the 1-D compressible Navier-Stokes equations. Zbl 1439.35410
Yang, Dong Cheng
1
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
1
2020
2D tropical climate model with fractional dissipation and without thermal diffusion. Zbl 1439.35479
Dong, Bo-Qing; Wu, Jiahong; Ye, Zhuan
1
2020
Cauchy problem for thermoelastic plate equations with different damping mechanisms. Zbl 07327456
Chen, Wenhui
1
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
1
2020
Numerical study of compressible Navier-Stokes-Cahn-Hilliard system. Zbl 1466.65064
He, Qiaolin; Shi, Xiaoding
1
2020
Forward backward doubly stochastic differential equations and the optimal filtering of diffusion processes. Zbl 1458.60067
Bao, Feng; Cao, Yanzhao; Han, Xiaoying
1
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
1
2020
The local well-posedness to the density-dependent magnetic Bénard system with nonnegative density. Zbl 1460.35301
Zhong, Xin
1
2020
Inviscid limit to the shock waves for the fractal Burgers equation. Zbl 1462.35200
Akopian, Sona; Kang, Moon-Jin; Vasseur, Alexis
1
2020
Criteria for the \(a\)-contraction and stability for the piecewise-smooth solutions to hyperbolic balance laws. Zbl 1462.35198
Krupa, Sam G.
1
2020
Global existence for Nernst-Planck-Navier-Stokes system in \(\mathbb{R}^n\). Zbl 1464.35186
Liu, Jian-Guo; Wang, Jinhuan
1
2020
Models of nonlinear acoustics viewed as an approximation of the Navier-Stokes and Euler compressible isentropic systems. Zbl 1467.35239
Dekkers, Adrien; Rozanova-Pierrat, Anna
1
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
1
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
12
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
10
2019
Convergence to stratified flow for an inviscid 3D Boussinesq system. Zbl 1410.35142
Widmayer, Klaus
9
2019
Topological protection of perturbed edge states. Zbl 1421.35305
Bal, Guillaume
8
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
8
2019
Stability and decay rates for a variant of the 2D Boussinesq-Bénard system. Zbl 1434.35128
Wu, Jiahong; Xu, Xiaojing; Zhu, Ning
6
2019
An elementary proof of convex phase retrieval in the natural parameter space via the linear program PhaseMax. Zbl 1441.94040
Hand, Paul; Voroninski, Vladislav
5
2019
The Mori-Zwanzig formalism for the derivation of a fluctuating heat conduction model from molecular dynamics. Zbl 07077608
Chu, Weiqi; Li, Xiantao
5
2019
Sharp energy criteria and singularity of blow-up solutions for the Davey-Stewartson system. Zbl 1428.35544
Zhang, Jian; Zhu, Shihui
5
2019
A priori estimates of the population risk for two-layer neural networks. Zbl 1427.68277
Weinan, E.; Ma, Chao; Wu, Lei
5
2019
Non reflection and perfect reflection via Fano resonance in waveguides. Zbl 1421.78017
Chesnel, Lucas; Nazarov, Sergei A.
4
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
4
2019
A mesoscopic model of biological transportation networks. Zbl 1433.35416
Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene
4
2019
ODE- and PDE-based modeling of biological transportation networks. Zbl 1433.35421
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
4
2019
An optimization principle for initiation and adaptation of biological transport networks. Zbl 1429.92063
Hu, Dan; Cai, David
4
2019
On uniform second order nonlocal approximations to linear two-point boundary value problems. Zbl 1426.47013
Du, Qiang; Zhang, Jiwei; Zheng, Chunxiong
4
2019
Singularity formation for a fluid mechanics model with nonlocal velocity. Zbl 1433.35298
Tan, Changhui
4
2019
Determining a fractional Helmholtz equation with unknown source and scattering potential. Zbl 1433.35015
Cao, Xinlin; Liu, Hongyu
4
2019
Generalized Kelvin-Voigt equations for nonhomogeneous and incompressible fluids. Zbl 1433.35257
Antontsev, Stanislav N.; de Oliveira, Hermenegildo B.; Khompysh, Khonatbek
4
2019
The kinetic Fokker-Planck equation with weak confinement force. Zbl 1447.47060
Cao, Chuqi
4
2019
De Giorgi techniques applied to Hamilton-Jacobi equations with unbounded right-hand side. Zbl 1415.35095
Stokols, Logan F.; Vasseur, Alexis F.
3
2019
Variant of optimality criteria method for multiple state optimal design problems. Zbl 1408.49001
Burazin, Krešimir; Crnjac, Ivana; Vrdoljak, Marko
3
2019
Interaction of the elementary waves of isentropic flow in a variable cross-section duct. Zbl 1410.35137
Sheng, Wancheng; Zhang, Qinglong
3
2019
Detection of conductivity inclusions in a semilinear elliptic problem arising from cardiac electrophysiology. Zbl 1412.65196
Beretta, Elena; Ratti, Luca; Verani, Marco
3
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
3
2019
Corrector homogenization estimates for a non-stationary Stokes-Nernst-Planck-Poisson system in perforated domains. Zbl 1429.35021
Khoa, Vo Anh; Muntean, Adrian
3
2019
A data-driven method for the steady state of randomly perturbed dynamics. Zbl 07124786
Li, Yao
3
2019
Consistent mean field optimality conditions for interacting agent systems. Zbl 1428.82027
Herty, Michael; Ringhofer, Christian
3
2019
Uniqueness of weak solutions to the Boussinesq equations without thermal diffusion. Zbl 1433.35260
Boardman, Nicole; Ji, Ruihong; Qiu, Hua; Wu, Jiahong
3
2019
Bubble assemblies in ternary systems with long range interaction. Zbl 1434.82095
Wang, Chong; Ren, Xiaofeng; Zhao, Yanxiang
3
2019
Overlapping localized exponential time differencing methods for diffusion problems. Zbl 1410.65361
Hoang, Thi-Thao-Phuong; Ju, Lili; Wang, Zhu
2
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.
2
2019
Residual diffusivity in elephant random walk models with stops. Zbl 1409.60073
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
2
2019
Instationary drift-diffusion problems with Gauss-Fermi statistics and field-dependent mobility for organic semiconductor devices. Zbl 1431.35206
Glitzky, Annegret; Liero, Matthias
2
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
2
2019
Energy-stable second-order linear schemes for the Allen-Cahn phase-field equation. Zbl 1426.65140
Wang, Lin; Yu, Haijun
2
2019
Numerical stochastic homogenization by quasilocal effective diffusion tensors. Zbl 1420.65110
Gallistl, Dietmar; Peterseim, Daniel
2
2019
The continuum limit of the Kuramoto model on sparse random graphs. Zbl 1432.34045
Medvedev, Georgi S.
2
2019
On a nonlinear Schrödinger system arising in quadratic media. Zbl 1428.35498
Corcho, Adán J.; Correia, Simão; Oliveira, Filipe; Silva, Jorge D.
2
2019
Conditional regularity for the 3D incompressible MHD equations via partial components. Zbl 1428.35401
Wang, Huifang; Li, Yafei; Guo, Zheng Guang; Skalák, Zdenĕk
2
2019
About viscous approximations of the bitemperature Euler system. Zbl 1428.82057
Aregba-Driollet, Denise; Brull, Stéphane
2
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
2
2019
Analysis of transient acoustic scattering by an elastic obstacle. Zbl 1430.35003
Li, Peijun; Zhang, Lei
2
2019
Periodic solutions to nonlinear Euler-Bernoulli beam equations. Zbl 07149233
Chen, Bochao; Gao, Yixian; Li, Yong
2
2019
Regularizing effect for conservation laws with a Lipschitz convex flux. Zbl 1439.35329
Guelmame, Billel; Junca, Stéphane; Clamond, Didier
2
2019
The regularity criteria on the magnetic field to the \(3D\) incompressible MHD equations. Zbl 1434.35098
Guo, Xiang-Xiang; Du, Yi; Lu, Peng
2
2019
Global dissipative solutions of the Novikov equation. Zbl 1406.60045
Zhou, Shouming; Yang, Li; Mu, Chunlai
1
2019
Direct and inverse elastic scattering from a locally perturbed rough surface. Zbl 1410.35236
Hu, Guanghui; Yuan, Xiaokai; Zhao, Yue
1
2019
Some mathematical properties of the Weertman equation. Zbl 1406.45002
Josien, Marc
1
2019
A simple approach to temporal cloaking. Zbl 1410.35226
Eskin, Gregory
1
2019
A penalty method for some nonlinear variational obstacle problems. Zbl 1409.35009
Schaeffer, Hayden
1
2019
Approximate homogenization of convex nonlinear elliptic PDEs. Zbl 1412.35139
Finlay, Chris; Oberman, Adam M.
1
2019
Convergence analysis of adaptive biasing potential methods for diffusion processes. Zbl 1422.60131
Benaïm, Michel; Bréhier, Charles-Edouard
1
2019
The 3D nonlinear dissipative system modeling electro-diffusion with blow-up in one direction. Zbl 1421.35281
Liu, Qiao
1
2019
A consistent kinetic model for a two-component mixture of polyatomic molecules. Zbl 1420.35174
Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella
1
2019
Boundary layer analysis for the fast horizontal rotating fluids. Zbl 1421.35283
Li, Wei-Xi; Ngo, Van-Sang; Xu, Chao-Jiang
1
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
1
2019
Concentrating solutions of the relativistic Vlasov-Maxwell system. Zbl 1421.35367
Ben-Artzi, Jonathan; Calogero, Simone; Pankavich, Stephen
1
2019
A singular limit in a fractional reaction-diffusion equation with periodic coefficients. Zbl 1417.35069
Léculier, Alexis
1
2019
A variational structure for interacting particle systems and their hydrodynamic scaling limits. Zbl 1428.35365
Kaiser, Marcus; Jack, Robert L.; Zimmer, Johannes
1
2019
Nonparametric Bayesian inference for Gamma-type Lévy subordinators. Zbl 1427.62020
Belomestny, Denis; Gugushvili, Shota; Schauer, Moritz; Spreij, Peter
1
2019
Optimal decay rates of the compressible magneto-micropolar fluids system in \(\mathbb R^3\). Zbl 1428.35397
Tong, Leilei; Tan, Zhong
1
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
1
2019
Multiple equilibria and transitions in spherical MHD equations. Zbl 1428.76232
Özer, Saadet; Şengül, Taylan; Wang, Quan
1
2019
Fast algorithm for computing nonlocal operators with finite interaction distance. Zbl 1428.82083
Tian, Xiaochuan; Engquist, Björn
1
2019
Patterns of complex oscillations and instability in chemical reactions. Zbl 1439.35471
Yao, Jinghua; Liu, Duchao; Wang, Xiaoyan
1
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
1
2019
Long-time asymptotic behavior for an extended modified Korteweg-de Vries equation. Zbl 1433.35343
Liu, Nan; Guo, Boling; Wang, Dengshan; Wang, Yufeng
1
2019
Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Zbl 06996271
Antil, Harbir; Pfefferer, Johannes; Rogovs, Sergejs
19
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
17
2018
Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays. Zbl 1427.34103
Pignotti, Cristina; Trélat, Emmanuel
12
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
9
2018
A note on the stability of implicit-explicit flux-splittings for stiff systems of hyperbolic conservation laws. Zbl 1390.35186
Zakerzadeh, Hamed; Noelle, Sebastian
7
2018
Boltzmann-type models with uncertain binary interactions. Zbl 1402.35201
Tosin, Andrea; Zanella, Mattia
7
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.
6
2018
Ergodicity and dynamics for the stochastic 3D Navier-Stokes equations with damping. Zbl 1390.35029
Liu, Hui; Gao, Hongjun
6
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
6
2018
The 3D incompressible Boussinesq equations with fractional partial dissipation. Zbl 1404.35373
Yang, Wanrong; Jiu, Quansen; Wu, Jiahong
5
2018
Initial-boundary value problem for 2D micropolar equations without angular viscosity. Zbl 1414.35170
Liu, Jitao; Wang, Shu
5
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.
5
2018
A modified Poisson-Nernst-Planck model with excluded volume effect: theory and numerical implementation. Zbl 1395.92015
Siddiqua, Farjana; Wang, Zhongming; Zhou, Shenggao
4
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
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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
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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
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