# zbMATH — the first resource for mathematics

## Quarterly of Applied Mathematics

 Short Title: Q. Appl. Math. Publisher: American Mathematical Society (AMS), Providence, RI; Brown University, Providence, RI ISSN: 0033-569X; 1552-4485/e Online: https://www.ams.org/journals/qam/all_issues.html Comments: Indexed cover-to-cover
 Documents Indexed: 3,453 Publications (since 1943) References Indexed: 609 Publications with 15,197 References.
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#### Latest Issues

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#### Authors

 27 Gurtin, Morton Edward 26 Dassios, George 25 Day, William Alan 23 Bellman, Richard Ernest 22 Synge, John Lighton 20 Carrier, George Francis 18 Ha, Seung-Yeal 17 Banks, Harvey Thomas 17 Dickey, R. W. 17 Horgan, Cornelius Oliver 17 Wintner, Aurel 16 Miles, John Wilder 14 Pipkin, Allen C. 14 Ting, Thomas C. T. 13 Naghdi, Paul Mansour 13 Ranger, Keith B. 13 Reissner, Eric 12 Chandna, O. P. 12 Malik, S. K. 12 Wang, Chang-Yi 11 Markenscoff, Xanthippi 11 Payne, Lawrence Edward 11 Rivlin, Ronald Samuel 11 Sirovich, Lawrence 10 Hsiao, Ling 10 MacCamy, Richard C. 10 Putnam, Calvin R. 10 Slemrod, Marshall 9 Antman, Stuart S. 9 Biot, Maurice Anthony 9 Deng, Keng 9 Golden, John Murrough 9 Krutitskii, Pavel A. 9 Matkowsky, Bernard J. 9 Olmstead, W. Edward 9 Prager, William 8 Birkhoff, Garrett 8 Cimatti, Giovanni 8 Ling, Chih-Bing 8 Middleton, David A. J. 8 Pearson, Carl E. 8 Simmonds, James G. 8 Spillers, William R. 8 Zheng, Songmu 7 Arthurs, A. M. 7 Drucker, Daniel Charles 7 Grenander, Ulf 7 Karp, Samuel N. 7 Moodie, T. Bryant 7 Muñoz Rivera, Jaime Edilberto 7 Nemat-Nasser, Sia 7 Sachdev, P. L. 7 Schaeffer, Jack W. 7 Sternberg, Eli 7 Troy, William C. 6 Ammari, Habib M. 6 Boley, Bruno A. 6 Boyce, William Edward 6 Brock, Louis M. 6 Chambers, Ll. G. 6 Guo, Jong-Shenq 6 Handelman, George H. 6 Hayes, Michael Alphonsus 6 Heins, Albert Edward 6 Hill, James Murray 6 Hodge, Philip G. jun. 6 Keer, Leon M. 6 Keller, Joseph Bishop 6 Khludnev, Aleksandr Mikhaĭlovich 6 Lardner, Robin W. 6 Lerche, Ian 6 Lotkin, Mark 6 Morrison, John A. 6 Racke, Reinhard 6 Richardson, John M. 6 Rogers, Colin 6 Šilhavý, Miroslav 6 Stewart, Homer J. 6 Vogelius, Michael S. 6 Wheeler, Lewis T. 6 Williams, William O. 6 Wu, Chien-Heng 6 Zemanian, Armen H. 6 Zumbrun, Kevin R. 5 Amazigo, John C. 5 Berger, Bruce S. 5 Blokhin, Aleksandr Mikhaĭlovich 5 Charalambakis, Nicolas Ch. 5 Choudhury, Sumitra Roy 5 Clements, David L. 5 Dhaliwal, Ranjit S. 5 Diaz, Joaquin Basilio 5 DiPrima, Richard C. 5 Fabrizio, Mauro 5 Fasano, Antonio 5 Giese, John H. 5 Gopalsamy, Kondalsamy 5 Graham, George A. C. 5 Grasselli, Maurizio 5 Green, Albert E. ...and 2,926 more Authors
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#### Fields

 1,019 Partial differential equations (35-XX) 699 Mechanics of deformable solids (74-XX) 588 Fluid mechanics (76-XX) 249 Ordinary differential equations (34-XX) 149 Numerical analysis (65-XX) 140 Classical thermodynamics, heat transfer (80-XX) 115 Integral equations (45-XX) 107 Biology and other natural sciences (92-XX) 103 Calculus of variations and optimal control; optimization (49-XX) 92 Statistical mechanics, structure of matter (82-XX) 73 Optics, electromagnetic theory (78-XX) 71 Dynamical systems and ergodic theory (37-XX) 69 Mechanics of particles and systems (70-XX) 56 Probability theory and stochastic processes (60-XX) 50 Operator theory (47-XX) 49 Special functions (33-XX) 48 Systems theory; control (93-XX) 32 Potential theory (31-XX) 31 Statistics (62-XX) 29 Differential geometry (53-XX) 25 Functions of a complex variable (30-XX) 25 Operations research, mathematical programming (90-XX) 24 Approximations and expansions (41-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 22 Global analysis, analysis on manifolds (58-XX) 22 Geophysics (86-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 19 Computer science (68-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Integral transforms, operational calculus (44-XX) 12 Quantum theory (81-XX) 12 Information and communication theory, circuits (94-XX) 11 Real functions (26-XX) 11 Astronomy and astrophysics (85-XX) 8 General and overarching topics; collections (00-XX) 8 Difference and functional equations (39-XX) 7 History and biography (01-XX) 6 Functional analysis (46-XX) 5 Geometry (51-XX) 5 Relativity and gravitational theory (83-XX) 4 Topological groups, Lie groups (22-XX) 4 Measure and integration (28-XX) 4 Sequences, series, summability (40-XX) 3 Combinatorics (05-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Number theory (11-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Mathematics education (97-XX)

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2,247 Publications have been cited 19,320 times in 15,961 Documents Cited by Year
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1987
On a quasilinear parabolic equation occurring in aerodynamics. Zbl 0043.09902
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1951
A method for the solution of certain non-linear problems in least squares. Zbl 0063.03501
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1944
The principle of minimized iterations in the solution of the matrix eigenvalue problem. Zbl 0042.12801
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1951
On a routing problem. Zbl 0081.14403
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1958
On the numerical solution o f singular integral equations. Zbl 0236.65083
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1972
A duality theorem for non-linear programming. Zbl 0109.38406
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1961
An integral equation approach to boundary value problems of classical elastostatics. Zbl 0158.43406
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1967
Soil mechanics and plastic analysis or limit design. Zbl 0047.43202
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1952
The solution of the heat equation subject to the specification of energy. Zbl 0173.38404
Cannon, J. R.
1964
A criterion of oscillatory stability. Zbl 0032.34801
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1949
On heat conduction in materials with memory. Zbl 0227.73011
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1971
Approximations in elasticity based on the concept of function space. Zbl 0029.23505
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1947
Extensions of a property of the heat equation to linear thermoelasticity and other theories. Zbl 0502.73007
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1982
On bending of elastic plates. Zbl 0030.04302
Reissner, Eric
1947
A table of solutions of the one-dimensional Burgers equation. Zbl 0255.76059
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1972
On the solution of integral equations with strongly singular kernels. Zbl 0631.65139
Kaya, A. C.; Erdogan, F.
1987
On the non-linear vibration problem of the elastic string. Zbl 0063.00715
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1945
Quasistatic viscoelastic contact with friction and wear diffusion. Zbl 1180.74046
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2004
The constitutive equations for rate sensitive plastic materials. Zbl 0112.17204
Perzyna, P.
1963
A decreasing property of solutions of parabolic equations with applications to thermoelasticity. Zbl 0514.35038
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1983
Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays. Zbl 1035.34084
Ruan, Shigui
2001
Almost-periodic behavior of solutions of a nonlinear Volterra system. Zbl 0209.14202
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1971
Generalized thermoelasticity for anisotropic media. Zbl 0432.73013
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1980
Viscous flow due to a shrinking sheet. Zbl 1169.76018
Miklavčič, M.; Wang, C. Y.
2006
Hydromagnetic flow and heat transfer over a stretching sheet. Zbl 0402.76012
Chakrabarti, A.; Gupta, A. S.
1979
Variational problems on flows of diffeomorphisms for image matching. Zbl 0949.49002
Dupuis, Paul; Grenander, Ulf; Miller, Michael I.
1998
Persistence and global asymptotic stability of single species dispersal models with stage structure. Zbl 0732.92021
Freedman, H. I.; Wu, J. H.
1991
A mathematical model for linear elastic systems with structural damping. Zbl 0515.73033
Chen, G.; Russell, D. L.
1982
Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons. Zbl 0536.34050
Bell, Jonathan; Cosner, Chris
1984
Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions. Zbl 0631.35041
Friedman, Avner
1986
A reaction-diffusion system arising in modelling man-environment diseases. Zbl 0704.35069
Capasso, V.; Kunisch, K.
1988
Duality in quadratic programming. Zbl 0101.37003
Dorn, W. S.
1960
Liquid film on an unsteady stretching surface. Zbl 0714.76036
Wang, C. Y.
1990
A model for one-dimensional, nonlinear viscoelasticity. Zbl 0355.73041
MacCamy, Richard C.
1977
Asymptotic behaviour in linear viscoelasticity. Zbl 0814.35009
Muñoz Rivera, Jaime E.
1994
Asymptotic behaviour of the energy in partially viscoelastic materials. Zbl 1028.35025
Muñoz Rivera, Jaime E.; Peres Salvatierra, Alfonso
2001
Heat conduction in a melting solid. Zbl 0036.13902
Landau, H. G.
1950
Numerical integration methods for the solution of singular integral equations. Zbl 0353.45016
Theocaris, P. S.; Ioakimidis, N. I.
1977
Stress-strain relations, uniqueness and variational theorems for elastic- plastic materials with a singular yield surface. Zbl 0053.14003
Koiter, W. T.
1953
Exponential stability in linear viscoelasticity. Zbl 1117.35052
Pata, Vittorino
2006
Heat transfer between solids and gasses under nonlinear boundary conditions. Zbl 0043.10001
Mann, W. Robert; Wolf, Frantisek
1951
Numerical study of quadratic area-preserving mappings. Zbl 0191.45403
Hénon, Michel
1969
Proper orthogonal decomposition for flow calculations and optimal control in a horizontal CVD reactor. Zbl 1146.76631
Ly, Hung V.; Tran, Hien T.
2002
Stabilization of the Korteweg-de Vries equation with localized damping. Zbl 1039.35107
Perla Menzala, G.; Vasconcellos, C. F.; Zuazua, E.
2002
Variational principles for linear initial-value problems. Zbl 0173.37602
Gurtin, M. E.
1964
Decay estimates for the constrained elastic cylinder of variable cross section. Zbl 0706.73015
Flavin, J. N.; Knops, R. J.; Payne, L. E.
1989
Computational anatomy: an emerging discipline. Zbl 0952.92016
Grenander, Ulf; Miller, Michael I.
1998
Bifurcation of periodic solutions in a nonlinear difference-differential equation of neutral type. Zbl 0143.30701
Brayton, R. K.
1966
A modification of Prager’s hardening rule. Zbl 0086.18704
Ziegler, Hans
1959
Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations. Zbl 0281.35009
Fattorini, H. O.; Russell, D. L.
1974
Geometric nonlinearity: Potential energy, complementary energy, and the gap function. Zbl 0691.73012
Gao, Yang; Strang, Gilbert
1989
On quadrature formulas for singular integral equations of the first and the second kind. Zbl 0322.45022
Krenk, Steen
1975
An integro-differential equation with application in heat flow. Zbl 0351.45018
MacCamy, Richard C.
1977
Large deflection of cantilever beams. Zbl 0063.00418
Bisshopp, K. E.; Drucker, D. C.
1945
Kirchhoff’s problem for nonlinearly elastic rods. Zbl 0302.73031
Antman, Stuart S.
1974
A symmetric dual theorem for non-linear programs. Zbl 0136.13907
Mond, Bertram
1965
Torsional rigidity, principal frequency, electrostatic capacity and symmetrization. Zbl 0037.25301
Pólya, George
1948
On the ”bang-bang” control problem. Zbl 0073.11501
Bellman, R.; Glicksberg, I.; Gross, O.
1956
Spatial decay estimates in transient heat conduction. Zbl 0553.35037
Horgan, C. O.; Payne, L. E.; Wheeler, L. T.
1984
The treatment of singularities of partial differential equations by relaxation methods. Zbl 0030.40002
Motz, H.
1947
An asymmetrical finite difference network. Zbl 0053.26304
Macneal, R. H.
1953
Distance matrix of a graph and its realizability. Zbl 0125.11804
Hakimi, S. L.; Yau, S. S.
1965
Nonlinear oscillations in a distributed network. Zbl 0166.35102
Brayton, R. K.
1967
Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions. Zbl 0694.35137
Cimatti, Giovanni
1989
Uniqueness of flow of a second-order fluid past a stretching sheet. Zbl 0613.76006
Troy, William C.; Overman, Edward A. II; Ermentrout, G. B.; Keener, James P.
1987
A new model for thin plates with rapidly varying thickness. II: A convergence proof. Zbl 0565.73046
Kohn, Robert V.; Vogelius, Michael
1985
Development of singularities in solutions of the equations of nonlinear thermoelasticity. Zbl 0661.35009
Dafermos, C. M.; Hsiao, L.
1986
On dissipation inequalities and linear viscoelasticity. Zbl 0173.52703
Gurtin, M. E.; Herrera, I.
1965
Oscillations and global attractivity in a discrete delay logistic model. Zbl 0799.39004
1992
Entropy production and the rate of convergence to equilibrium for the Fokker-Planck equation. Zbl 1034.82041
Toscani, G.
1999
Global asymptotics toward the rarefaction wave for solutions of viscous $$p$$-system with boundary effect. Zbl 1157.35318
Matsumura, Akitaka; Nishihara, Kenji
2000
A contribution to the hydrodynamics of lubrication. Zbl 0036.25804
Wannier, Gregory H.
1950
Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials. Zbl 0805.73043
Allaire, Grégoire; Kohn, Robert V.
1993
On the exponential stability of linear viscoelastic and thermoviscoelasticity. Zbl 0868.35011
Liu, Zhuangyi; Zheng, Songmu
1996
Local and global existence for the coupled Navier-Stokes-Poisson problem. Zbl 1039.35075
Donatelli, Donatella
2003
A new method of inversion of the Laplace fransform. Zbl 0077.11402
Papoulis, Athanasios
1957
Comparison principle for some nonlocal problems. Zbl 0777.35006
Deng, Keng
1992
Perturbation analysis of an approximation to the Hodgkin-Huxley theory. Zbl 0365.92005
Casten, Richard G.; Cohen, Hirsh; Lagerstrom, Paco A.
1975
A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements. Zbl 1143.35384
Ammari, Habib; Garapon, Pierre; Kang, Hyeonbae; Lee, Hyundae
2008
Determination of the stretch and rotation in the polar decomposition of the deformation gradient. Zbl 0551.73004
Hoger, Anne; Carlson, Donald E.
1984
Quantum Euler-Poisson systems: global existence and exponential decay. Zbl 1069.35012
Jüngel, Ansgar; Li, Hailiang
2004
Multipolar viscous fluids. Zbl 0732.76003
Nečas, J.; Šilhavý, M.
1991
On a unique nonlinear oscillator. Zbl 0284.34046
Mathews, P. M.; Lakshmanan, M.
1974
On the structure of equilibrium phase transitions within the gradient theory of fluids. Zbl 0665.76120
Gurtin, Morton E.
1988
Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound. Zbl 1030.74018
Racke, Reinhard
2003
The relation between the flow of non-Newtonian fluids and turbulent Newtonian fluids. Zbl 0079.17905
Rivlin, R. S.
1957
Large amplitude oscillations of a tube of incompressible elastic material. Zbl 0099.19102
Knowles, James K.
1960
Symmetric dual quadratic programs. Zbl 0127.36802
Cottle, R.
1963
On the theory of thin elastic shells. Zbl 0154.22602
Naghdi, P. M.
1957
On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound. Zbl 0801.35088
Tarabek, Michael A.
1992
Heat transfer by free convection across a closed cavity between vertical boundaries at different temperatures. Zbl 0057.41701
Batchelor, G. K.
1954
Extended limit design theorems for continuous media. Zbl 0047.43201
Drucker, D. C.; Prager, W.; Greenberg, H. J.
1952
Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping. Zbl 1040.35044
Marcati, Pierangelo; Mei, Ming
2000
Phenomenological behavior of multipolar viscous fluids. Zbl 0759.76004
Bellout, Hamid; Bloom, Frederick; Nečas, Jindrich
1992
Effect of rugosity on a flow governed by stationary Navier-Stokes equations. Zbl 1019.76014
Amirat, Youcef; Bresch, Didier; Lemoine, Jérôme; Simon, Jacques
2001
Elastic waves in rotating media. Zbl 0281.73018
Schoenberg, Michael; Censor, Dan
1973
On the use of the interpolation polynomial for solutions of singular integral equations. Zbl 0322.45023
Krenk, Steen
1975
On uniqueness and stability in generalized thermoelasticity. Zbl 0613.73010
Sherief, Hany H.
1987
The energy transport and the drift diffusion equations as relaxation limits of the hydrodynamic model for semiconductors. Zbl 1034.82067
Gasser, Ingenuin; Natalini, Roberto
1999
Global expanding solutions of compressible Euler equations with small initial densities. Zbl 1464.35202
Parmeshwar, Shrish; Hadžić, Mahir; Jang, Juhi
2021
A coupled Cahn-Hilliard model for the proliferative-to-invasive transition of hypoxic glioma cells. Zbl 1462.35170
Li, Lu; Miranville, Alain; Guillevin, Rémy
2021
The derivative nonlinear Schrödinger equation: global well-posedness and soliton resolution. Zbl 1434.35180
Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine
2020
Existence of solitary wave solutions for internal waves in two-layer systems. Zbl 1425.35160
Pava, Jaime Angulo; Saut, Jean-Claude
2020
Uniqueness of bounded solutions for the homogeneous relativistic Landau equation with Coulomb interactions. Zbl 1427.82044
Strain, Robert M.; Wang, Zhenfu
2020
Onsager-type conjecture and renormalized solutions for the relativistic Vlasov-Maxwell system. Zbl 1431.35189
Bardos, Claude; Besse, Nicolas; Nguyen, Toan T.
2020
Global regularity of solutions of the Einstein-Klein-Gordon system: a review. Zbl 1439.35469
2020
Nanopteron-stegoton traveling waves in spring dimer Fermi-Pasta-Ulam-Tsingou lattices. Zbl 1458.37079
Faver, Timothy E.
2020
Compactons and their variational properties for degenerate KdV and NLS in dimension 1. Zbl 1435.35334
Germain, Pierre; Harrop-Griffiths, Benjamin; Marzuola, Jeremy L.
2020
Harmonic stability of standing water waves. Zbl 1433.76021
Wilkening, Jon
2020
Derivation of the ion equation. Zbl 1431.35127
Grenier, E.; Guo, Y.; Pausader, B.; Suzuki, M.
2020
The Riemann problem for a weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid. Zbl 1440.35209
Hantke, Maren; Matern, Christoph; Ssemaganda, Vincent; Warnecke, Gerald
2020
Emergent flocking dynamics of the discrete thermodynamic Cucker-Smale model. Zbl 1453.92367
Ha, Seung-Yeal; Kim, Doheon; Li, Zhuchun
2020
Finite gap conditions and small dispersion asymptotics for the classical periodic Benjamin-Ono equation. Zbl 1467.37062
Moll, Alexander
2020
Uniform stability and mean-field limit of a thermodynamic Cucker-Smale model. Zbl 1430.82010
Ha, Seung-Yeal; Kim, Jeongho; Min, Chan Ho; Ruggeri, Tommaso; Zhang, Xiongtao
2019
Estimates for elliptic systems in a narrow region arising from composite materials. Zbl 1404.35120
Ju, Hongjie; Li, Haigang; Xu, Longjuan
2019
Double-negative acoustic metamaterials. Zbl 1428.35340
Ammari, Habib; Fitzpatrick, Brian; Lee, Hyundae; Yu, Sanghyeon; Zhang, Hai
2019
Soap film spanning an elastic link. Zbl 1417.49054
Bevilacqua, Giulia; Lussardi, Luca; Marzocchi, Alfredo
2019
Robustness in the instability of the incoherent state for the Kuramoto-Sakaguchi-Fokker-Planck equation with frustration. Zbl 1420.35416
Ha, Seung-Yeal; Lee, Jaeseung; Zhang, Yinglong
2019
Double-negative electromagnetic metamaterials due to chirality. Zbl 1410.35224
Ammari, Habib; Wu, Wei; Yu, Sanghyeon
2019
On the structure of the singular set for the kinetic Fokker-Planck equations in domains with boundaries. Zbl 1404.35446
Hwang, Hyung Ju; Jang, Juhi; Velázquez, Juan J. L.
2019
Fast drift effects in the averaging of a filtration combustion system: a periodic homogenization approach. Zbl 1401.80008
2019
Evolution partial differential equations with discontinuous data. Zbl 1428.35649
Trogdon, Thomas; Biondini, Gino
2019
Explicit structure of the Fokker-Planck equation with potential. Zbl 1428.35604
Lin, Yu-Chu; Wang, Haitao; Wu, Kung-Chien
2019
Quantitative estimates of the field excited by an emitter in a narrow region between two circular inclusions. Zbl 1423.35097
Kang, Hyeonbae; Yun, Kihyun
2019
Stokes flow with kinematic and dynamic boundary conditions. Zbl 1415.76119
Fabricius, John
2019
A boundary layer approach to the whispering gallery phenomenon. Zbl 1426.35096
Matkowsky, B. J.
2019
Uniform regularity for the incompressible Navier-Stokes system with variable density and Navier boundary conditions. Zbl 1427.35214
Xu, Xin
2019
Interaction of elementary waves with a weak discontinuity in an isothermal drift-flux model of compressible two-phase flows. Zbl 1428.35389
Minhajul; Sekhar, T. Raja
2019
A note on deconvolution with completely monotone sequences and discrete fractional calculus. Zbl 06813419
Li, Lei; Liu, Jian-Guo
2018
On singular limit equations for incompressible fluids in moving thin domains. Zbl 1384.35099
Miura, Tatsu-Hiko
2018
Universal halting times in optimization and machine learning. Zbl 1425.68114
Sagun, Levent; Trogdon, Thomas; LeCun, Yann
2018
On derivation of compressible fluid systems on an evolving surface. Zbl 1387.37075
Koba, Hajime
2018
Mathematical modeling of the photoacoustic effect generated by the heating of metallic nanoparticles. Zbl 1403.35296
Triki, Faouzi; Vauthrin, Margaux
2018
Analysis and simulation of a new multi-component two-phase flow model with phase transitions and chemical reactions. Zbl 1444.76125
Hantke, Maren; Müller, Siegfried
2018
On a nonlinear integral equation for the ocean flow in arctic gyres. Zbl 1391.45009
Chu, Jifeng
2018
On the motion of a liquid-filled heavy body around a fixed point. Zbl 1386.35340
Galdi, Giovanni P.; Mazzone, Giusy; Mohebbi, Mahdi
2018
Errata to “Energetic variational approaches for incompressible fluid systems on an evolving surface”. Zbl 1375.49066
Koba, Hajime; Liu, Chun; Giga, Yoshikazu
2018
Fokas’s unified transform method for linear systems. Zbl 1407.35004
Deconinck, Bernard; Guo, Qi; Shlizerman, Eli; Vasan, Vishal
2018
$$L^\infty$$ estimates for the JKO scheme in parabolic-elliptic Keller-Segel systems. Zbl 1391.35197
Carrillo, José-Antonio; Santambrogio, Filippo
2018
Balanced flux formulations for multidimensional Evans-function computations for viscous shocks. Zbl 1398.35160
Barker, Blake; Humpherys, Jeffrey; Lyng, Gregory; Zumbrun, Kevin
2018
A multiscale method for computing effective parameters of composite electromagnetic materials with memory effects. Zbl 1395.74006
Bokil, V. A.; Banks, H. T.; Cioranescu, D.; Griso, G.
2018
Mass-conserving solutions to coagulation-fragmentation equations with nonintegrable fragment distribution function. Zbl 1397.45004
Laurençot, Philippe
2018
A unified solution of several classical hydrodynamic stability problems. Zbl 1386.76073
Herron, Isom H.
2018
On the integro-differential general solution for the unsteady micropolar Stokes flow of a conducting ferrofluid. Zbl 1375.35333
Vafeas, Panayiotis
2018
Initial-boundary value problem for Euler equations with incompatible data. Zbl 1386.35270
Li, Dening
2018
Convergence of a mass-lumped finite element method for the Landau-Lifshitz equation. Zbl 1387.78009
Kim, Eugenia; Wilkening, Jon
2018
Optimal energy bounds in spherically symmetric $$\alpha^2$$-dynamos. Zbl 1392.49044
Kaiser, Ralf; Tilgner, Andreas
2018
Ideal characterizations of multiple impacts: a frame-independent approach by means of jet-bundle geometry. Zbl 1397.70022
Pasquero, Stefano
2018
Weighted Beckmann problem with boundary costs. Zbl 1400.49003
Dweik, Samer
2018
Spatial decay in transient heat conduction for general elongated regions. Zbl 1397.58010
Knops, R. J.; Quintanilla, R.
2018
Integral relations associated with the semi-infinite Hilbert transform and applications to singular integral equations. Zbl 1400.30045
Antipov, Y. A.; Mkhitaryan, S. M.
2018
Energetic variational approaches for incompressible fluid systems on an evolving surface. Zbl 1358.37081
Koba, Hajime; Liu, Chun; Giga, Yoshikazu
2017
Dynamical system approach to synchronization of the coupled Schrödinger-Lohe system. Zbl 1360.82047
Huh, Hyungjin; Ha, Seung-Yeal
2017
Green’s function and pointwise convergence for compressible Navier-Stokes equations. Zbl 1360.35141
Deng, Shijin; Yu, Shih-Hsien
2017
The bramson logarithmic delay in the cane toads equations. Zbl 1370.35175
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
2017
Instabilities and oscillations in coagulation equations with kernels of homogeneity one. Zbl 1404.82042
Herrmann, Michael; Niethammer, Barbara; Velázquez, Juan J. L.
2017
Hydrodynamic limit of granular gases to pressureless Euler in dimension 1. Zbl 1354.35076
Jabin, Pierre-Emmanuel; Rey, Thomas
2017
Wave interactions and stability of the Riemann solution for a strictly hyperbolic system of conservation laws. Zbl 1362.35185
Sen, Anupam; Sekhar, T. Raja; Sharma, V. D.
2017
Emergence of partial locking states from the ensemble of Winfree oscillators. Zbl 1404.34040
Ha, Seung-Yeal; Ko, Dongnam; Park, Jinyeong; Ryoo, Sang Woo
2017
Sensitivity analysis in poro-elastic and poro-visco-elastic models with respect to boundary data. Zbl 1372.49029
Banks, H. T.; Bekele-Maxwell, K.; Bociu, L.; Noorman, M.; Guidoboni, G.
2017
Towards monitoring critical microscopic parameters for electropermeabilization. Zbl 1353.35037
Ammari, H.; Widlak, T.; Zhang, W.
2017
A bistable belief dynamics model for radicalization within sectarian conflict. Zbl 1349.91220
Chuang, Yao-Li; D&rsquo;Orsogna, Maria R.; Chou, Tom
2017
On the Fokker-Planck equations with inflow boundary conditions. Zbl 1360.35283
Hwang, Hyung Ju; Phan, Du
2017
Sensitivity via the complex-step method for delay differential equations with non-smooth initial data. Zbl 1359.34080
Banks, H. T.; Bekele-Maxwell, Kidist; Bociu, Lorena; Wang, Chuyue
2017
A non-traditional view on the modeling of nematic disclination dynamics. Zbl 1356.76037
Zhang, Chiqun; Zhang, Xiaohan; Acharya, Amit; Golovaty, Dmitry; Walkington, Noel
2017
Transition to thermohydrodynamic lubrication problem. Zbl 1364.35235
Ciuperca, I. S.; Feireisl, E.; Jai, M.; Petrov, A.
2017
Boltzmann systems for gas mixtures in 1D torus. Zbl 1364.35231
Wu, Kung-Chien
2017
Compositional flow in porous media: Riemann problem for three alkanes. Zbl 1373.35249
Matos, Vítor; Marchesin, Dan
2017
A nonlinear history-dependent boundary value problem. Zbl 1434.35222
Sofonea, Mircea; Benseghir, Aissa
2017
Euler-Lagrange equation for a minimization problem over monotone transport maps. Zbl 1356.35137
Westdickenberg, Michael
2017
Two types of electric field enhancements by infinitely many circular conductors arranged closely in two parallel lines. Zbl 1386.35073
Yun, Kihyun
2017
Concentration inequalities for a removal-driven thinning process. Zbl 1370.35279
Klobusicky, Joe; Menon, Govind
2017
Time-delayed interactions and synchronization of identical Lohe oscillators. Zbl 1359.92012
Choi, Sun-Ho; Ha, Seung-Yeal
2016
Junction problem for Euler-Bernoulli and Timoshenko elastic inclusions in elastic bodies. Zbl 1353.35278
Khludnev, A. M.; Popova, T. S.
2016
On the high frequency limit of the LLL equation. Zbl 1348.37100
Germain, Pierre; Thomann, Laurent
2016
A Caginalp phase-field system based on type III heat conduction with two temperatures. Zbl 1338.35233
Miranville, Alain; Quintanilla, Ramon
2016
Quasineutral limit of the pressureless Euler-Poisson equation for ions. Zbl 1341.35125
Pu, Xueke; Guo, Boling
2016
Conservative formulation for compressible multiphase flows. Zbl 1336.35305
Romenski, Evgeniy; Belozerov, Alexander A.; Peshkov, Ilya M.
2016
Sharp local well-posedness of KdV type equations with dissipative perturbations. Zbl 1351.35169
Carvajal, Xavier; Panthee, Mahendra
2016
A high-order perturbation of surfaces (HOPS) approach to Fokas integral equations: three-dimensional layered-media scattering. Zbl 1332.65192
Nicholls, David P.
2016
On a version of quaternionic function theory related to Chebyshev polynomials and modified Sturm-Liouville operators. Zbl 1356.30029
Luna-Elizarrarás, M. E.; Morais, J.; Pérez-de la Rosa, M. A.; Shapiro, M.
2016
On how to use drift to push the spectral gap of a diffusion on $$S^{2}$$ to infinity. Zbl 1338.35197
Franke, Brice; Yaakoubi, Nejib
2016
A maximum principle for fractional diffusion differential equations. Zbl 1342.35432
Chan, C. Y.; Liu, H. T.
2016
A uniform estimate for the incompressible magneto-hydrodynamics equations with a slip boundary condition. Zbl 1336.35301
Meng, Y.; Wang, Y.-G.
2016
Unique characterization of materials with memory. Zbl 1341.80013
Golden, J. M.
2016
Spectral representations, and approximations, of divergence-free vector fields. Zbl 1344.35088
Auchmuty, Giles; Simpkins, Douglas R.
2016
Scalar Green function bounds for instantaneous shock location and one-dimensional stability of viscous shock waves. Zbl 1347.35167
Li, Yingwei
2016
A general nonlinear model for the interaction of a size-structured population and its environment: well-posedness and approximation. Zbl 1353.35289
Ackleh, Azmy S.; Ma, Baoling; Miller, Robert
2016
Dilute emulsions with surface tension. Zbl 1408.35155
Nika, Grigor; Vernescu, Bogdan
2016
Sensitivity of anomalous localized resonance phenomena with respect to dissipation. Zbl 1341.35156
Meklachi, Taoufik; Milton, Graeme W.; Onofrei, Daniel; Thaler, Andrew E.; Funchess, Gregory
2016
On the evolution of travelling wave solutions of the Burgers-Fisher equation. Zbl 1339.35075
Leach, J. A.; Hanaç, E.
2016
Singularities occurring in multimaterials with transparent boundary conditions. Zbl 1416.74046
Destuynder, Philippe; Fabre, Caroline
2016
Global smooth solution to a hyperbolic system on an interval with dynamic boundary conditions. Zbl 1347.35152
Peralta, Gilbert; Propst, Georg
2016
Global Riemann solver and front tracking approximation of three-component gas floods. Zbl 1353.35202
Khorsandi, Saeid; Shen, Wen; Johns, Russell T.
2016
Reduced equations for the hydroelastic waves in the cochlea: the spring model. Zbl 1346.92015
Hari, Lydia Peres; Rubinstein, Jacob; Sternberg, Peter
2016
Justification of limit for the Boltzmann equation related to Korteweg theory. Zbl 1352.35113
Huang, Feimin; Wang, Yi; Wang, Yong; Yang, Tong
2016
Bifurcation of coupled-mode responses by modal coupling in cubic nonlinear systems. Zbl 1334.37050
Pak, C. H.; Lee, Young S.
2016
The minimum and other free energies for non-linear materials with memory. Zbl 1332.80006
Golden, J. M.
2016
Global existence and blow-up for the fast diffusion equation with a memory boundary condition. Zbl 1336.35080
Deng, Keng; Wang, Qian
2016
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#### Cited by 17,806 Authors

 66 Ha, Seung-Yeal 58 Dehghan Takht Fooladi, Mehdi 58 Quintanilla de Latorre, Ramón 44 Luo, Zhendong 35 Banks, Harvey Thomas 35 Sofonea, Mircea 34 Gao, David Yang 33 Tatar, Nasser-eddine 32 Gurtin, Morton Edward 32 Pata, Vittorino 32 Qin, Yuming 31 Agarwal, Ravi P. 30 Fabrizio, Mauro 30 Messaoudi, Salim A. 29 Payne, Lawrence Edward 29 Pop, Ioan 28 Horgan, Cornelius Oliver 28 Muñoz Rivera, Jaime Edilberto 27 Li, Yongdong 27 Migórski, Stanisław 27 Rajagopal, Kumbakonam Ramamani 26 Khludnev, Aleksandr Mikhaĭlovich 25 Nečasová, Šárka 25 Vajravelu, Kuppalapalle 24 Antman, Stuart S. 24 Shillor, Meir 24 Ting, Thomas C. T. 23 Chen, Yizhou 23 Dassios, George 23 Rogers, Colin 23 Saccomandi, Giuseppe 22 Ammari, Habib M. 22 Golden, John Murrough 22 Lasiecka, Irena 22 Lee, Kangyong 21 Li, Yeping 21 O’Regan, Donal 21 Said-Houari, Belkacem 21 Tarzia, Domingo Alberto 20 Hernández, Eduardo M. 20 Racke, Reinhard 20 Sugie, Jitsuro 20 Vohralík, Martin 20 Wang, Xu 20 Willcox, Karen E. 19 Li, Hailiang 19 Markenscoff, Xanthippi 19 Zhu, Changjiang 18 Miranville, Alain M. 18 Neff, Patrizio 18 Roubíček, Tomáš 18 Theocaris, Pericles S. 17 Chiriţă, Stan 17 Deng, Keng 17 Guo, Boling 17 Mukherjee, Subrata 17 Steigmann, David J. 17 Straughan, Brian 17 Yin, Gang George 17 Zhao, Huijiang 17 Zumbrun, Kevin R. 16 Bloom, Frederick 16 Burton, Theodore Allen 16 Chen, Lansun 16 Colli, Pierluigi 16 Conti, Monica C. 16 Duits, Remco 16 Jódar Sanchez, Lucas Antonio 16 Kirane, Mokhtar 16 Knops, Robin J. 16 Li, Wan-Tong 16 Mei, Ming 16 Merkin, John H. 16 Xu, Jiang 15 Chaplain, Mark A. J. 15 Chen, Jeng-Tzong 15 Ciarlet, Philippe Gaston 15 Cimatti, Giovanni 15 Coclite, Giuseppe Maria 15 Giorgi, Claudio 15 Huang, Feimin 15 Jiang, Song 15 Kawashima, Shuichi 15 Ladas, Gerasimos E. 15 Mishra, Shashi Kant 15 Mu, Chunlai 15 Pao, Chia-Ven 15 Sherief, Hany H. 15 Simo, Juan Carlos 15 Toscani, Giuseppe 15 Volkwein, Stefan 15 Zayed, Elsayed M. E. 14 Ahmad, Bashir 14 Amendola, Giovambattista 14 Ang, Wei Tech 14 Briozzo, Adriana C. 14 Feireisl, Eduard 14 Guesmia, Aissa 14 Guo, Bao-Zhu 14 Kutluay, Selcuk ...and 17,706 more Authors
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#### Cited in 840 Journals

 792 Journal of Mathematical Analysis and Applications 508 Applied Mathematics and Computation 491 Acta Mechanica 444 Computer Methods in Applied Mechanics and Engineering 394 Journal of Differential Equations 379 ZAMP. Zeitschrift für angewandte Mathematik und Physik 350 Archive for Rational Mechanics and Analysis 302 Journal of Elasticity 297 Journal of Computational and Applied Mathematics 255 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 241 Computers & Mathematics with Applications 230 Journal of Fluid Mechanics 220 Quarterly of Applied Mathematics 196 International Journal of Engineering Science 196 Journal of Computational Physics 184 Mathematical Methods in the Applied Sciences 179 Journal of Mathematical Physics 160 Nonlinear Analysis. Real World Applications 159 Applied Mathematical Modelling 154 Physics of Fluids 147 Engineering Analysis with Boundary Elements 138 Meccanica 136 Journal of Engineering Mathematics 134 Physica D 130 Mathematics and Mechanics of Solids 128 Journal of the Mechanics and Physics of Solids 127 Nonlinear Analysis. Theory, Methods & Applications 126 International Journal for Numerical Methods in Engineering 125 European Journal of Mechanics. A. Solids 123 Applicable Analysis 122 Applied Mathematics Letters 121 Applied Mathematics and Mechanics. (English Edition) 118 Mathematical and Computer Modelling 117 Wave Motion 107 Numerische Mathematik 99 Applied Numerical Mathematics 94 Computers and Fluids 94 Journal of Optimization Theory and Applications 87 Linear Algebra and its Applications 86 International Journal of Solids and Structures 86 Journal of Applied Mathematics and Mechanics 86 Computational Mechanics 86 Communications in Nonlinear Science and Numerical Simulation 85 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 81 Mathematics of Computation 78 Journal of the Franklin Institute 78 Mathematical Problems in Engineering 71 Proceedings of the American Mathematical Society 69 Archive of Applied Mechanics 64 Studies in Applied Mathematics 63 Abstract and Applied Analysis 62 Acta Applicandae Mathematicae 62 European Journal of Operational Research 62 Discrete and Continuous Dynamical Systems. Series B 61 Chaos, Solitons and Fractals 59 Continuum Mechanics and Thermodynamics 56 Transactions of the American Mathematical Society 55 SIAM Journal on Mathematical Analysis 55 Nonlinear Dynamics 54 Ingenieur-Archiv 53 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 53 European Journal of Mechanics. B. Fluids 52 Discrete and Continuous Dynamical Systems 51 Journal of Applied Physics 50 Journal de Mathématiques Pures et Appliquées. Neuvième Série 50 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 50 Chaos 50 PMM, Journal of Applied Mathematics and Mechanics 49 International Journal for Numerical Methods in Fluids 47 Fluid Dynamics 47 Journal of Integral Equations and Applications 46 Annali di Matematica Pura ed Applicata. Serie Quarta 46 Boundary Value Problems 45 Communications in Mathematical Physics 45 Mathematical Biosciences 44 Journal of Mathematical Fluid Mechanics 43 Soviet Applied Mechanics 43 Mathematics and Computers in Simulation 43 Journal of Scientific Computing 42 Journal of Nonlinear Science 40 Journal of Mathematical Biology 40 Journal of Mathematical Imaging and Vision 39 Journal of Statistical Physics 39 Applied Mathematics and Optimization 39 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 39 Numerical Algorithms 39 SIAM Journal on Scientific Computing 39 Communications on Pure and Applied Analysis 38 Automatica 38 Communications in Numerical Methods in Engineering 38 Journal of Mathematical Sciences (New York) 37 Calculus of Variations and Partial Differential Equations 35 Numerical Methods for Partial Differential Equations 35 Journal of Dynamics and Differential Equations 34 International Journal of Heat and Mass Transfer 34 Advances in Computational Mathematics 33 Theoretical and Computational Fluid Dynamics 33 BIT 33 Acta Mathematicae Applicatae Sinica. English Series 33 Communications in Partial Differential Equations ...and 740 more Journals
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#### Cited in 60 Fields

 5,384 Partial differential equations (35-XX) 4,476 Mechanics of deformable solids (74-XX) 3,286 Fluid mechanics (76-XX) 2,683 Numerical analysis (65-XX) 1,452 Ordinary differential equations (34-XX) 886 Biology and other natural sciences (92-XX) 736 Operations research, mathematical programming (90-XX) 726 Classical thermodynamics, heat transfer (80-XX) 709 Calculus of variations and optimal control; optimization (49-XX) 706 Integral equations (45-XX) 663 Systems theory; control (93-XX) 559 Dynamical systems and ergodic theory (37-XX) 401 Statistical mechanics, structure of matter (82-XX) 393 Operator theory (47-XX) 317 Probability theory and stochastic processes (60-XX) 287 Optics, electromagnetic theory (78-XX) 279 Mechanics of particles and systems (70-XX) 277 Computer science (68-XX) 211 Statistics (62-XX) 165 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 163 Differential geometry (53-XX) 157 Linear and multilinear algebra; matrix theory (15-XX) 154 Global analysis, analysis on manifolds (58-XX) 142 Information and communication theory, circuits (94-XX) 129 Combinatorics (05-XX) 129 Real functions (26-XX) 124 Geophysics (86-XX) 122 Difference and functional equations (39-XX) 117 Approximations and expansions (41-XX) 107 Functions of a complex variable (30-XX) 99 Special functions (33-XX) 94 Functional analysis (46-XX) 81 Quantum theory (81-XX) 58 Integral transforms, operational calculus (44-XX) 56 Harmonic analysis on Euclidean spaces (42-XX) 47 History and biography (01-XX) 41 Potential theory (31-XX) 34 Relativity and gravitational theory (83-XX) 24 Topological groups, Lie groups (22-XX) 24 Measure and integration (28-XX) 22 Astronomy and astrophysics (85-XX) 19 General topology (54-XX) 16 Convex and discrete geometry (52-XX) 16 Manifolds and cell complexes (57-XX) 15 General and overarching topics; collections (00-XX) 12 Number theory (11-XX) 11 Sequences, series, summability (40-XX) 11 Abstract harmonic analysis (43-XX) 9 Mathematical logic and foundations (03-XX) 9 Geometry (51-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Algebraic geometry (14-XX) 6 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Algebraic topology (55-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Nonassociative rings and algebras (17-XX) 3 Mathematics education (97-XX) 2 Associative rings and algebras (16-XX) 1 General algebraic systems (08-XX)