Edit Profile (opens in new tab) Johnson, Mathew A. Co-Author Distance Author ID: johnson.mathew-a Published as: Johnson, Mathew A.; Johnson, M. A. Homepage: http://www.math.ku.edu/~matjohn/ External Links: MGP Documents Indexed: 52 Publications since 2005, including 8 Additional arXiv Preprints Co-Authors: 26 Co-Authors with 45 Joint Publications 457 Co-Co-Authors all top 5 Co-Authors 4 single-authored 19 Zumbrun, Kevin R. 11 Noble, Pascal 11 Rodrigues, Luis Miguel 8 Bronski, Jared C. 6 Barker, Blake 6 Perkins, Wesley R. 5 Hur, Vera Mikyoung 3 Claassen, Kyle M. 3 Haragus, Mariana 2 de Rijk, Björn 2 Ehrnström, Mats 2 Kapitula, Todd M. 1 Bhavna, Rajasekaran 1 Ehrman, Brett 1 Heyworth, Anne 1 Leisman, Katelyn Plaisier 1 Lyng, Gregory Daniel 1 Maehlen, Ola I. H. 1 Marangell, Robert 1 Martin, Jeremy L. 1 Pandey, Ashish Kumar 1 Remonato, Filippo 1 Smith, Connor 1 Truong, Tien 1 Wheeler, Miles H. 1 Wright, J. Douglas 1 Yang, Zhao all top 5 Serials 7 Studies in Applied Mathematics 6 Physica D 6 SIAM Journal on Mathematical Analysis 5 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Journal of Differential Equations 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Inventiones Mathematicae 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Applied Mathematics Letters 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Science 1 Communications in Nonlinear Science and Numerical Simulation 1 SIAM Journal on Applied Dynamical Systems 1 Discrete Analysis 1 Water Waves all top 5 Fields 41 Partial differential equations (35-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Fluid mechanics (76-XX) 5 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 700 times in 283 Documents Cited by ▼ Year ▼ Modulational instability in the Whitham equation for water waves. Zbl 1309.35079 Hur, Vera Mikyoung; Johnson, Mathew A. 45 2015 An index theorem for the stability of periodic travelling waves of Korteweg-de Vries type. Zbl 1230.35118 Bronski, Jared C.; Johnson, Mathew A.; Kapitula, Todd 42 2011 Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations. Zbl 1304.35192 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 40 2014 Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1304.35184 Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 38 2013 The modulational instability for a generalized Korteweg-de Vries equation. Zbl 1221.35325 Bronski, Jared C.; Johnson, Mathew A. 38 2010 Nonlinear stability of periodic traveling wave solutions of the generalized Korteweg-de Vries equation. Zbl 1200.35261 Johnson, Mathew A. 37 2009 Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case. Zbl 1198.35027 Johnson, Mathew A.; Zumbrun, Kevin 28 2010 Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction-diffusion equations. Zbl 1246.35034 Johnson, Mathew A.; Zumbrun, Kevin 27 2011 Nonlocalized modulation of periodic reaction diffusion waves: the Whitham equation. Zbl 1270.35106 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 27 2013 Stability of small periodic waves in fractional KdV-type equations. Zbl 1282.35334 Johnson, Mathew A. 23 2013 Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability. Zbl 1276.35031 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 23 2013 Stability of periodic traveling waves for nonlinear dispersive equations. Zbl 1327.35032 Hur, Vera Mikyoung; Johnson, Mathew A. 22 2015 Modulational instability in the Whitham equation with surface tension and vorticity. Zbl 1330.35329 Hur, Vera Mikyoung; Johnson, Mathew A. 20 2015 Transverse instability of periodic traveling waves in the generalized Kadomtsev-Petviashvili equation. Zbl 1233.35025 Johnson, Mathew A.; Zumbrun, Kevin 20 2010 Nonlinear stability of viscous roll waves. Zbl 1240.35037 Johnson, Mathew A.; Zumbrun, Kevin; Noble, Pascal 19 2011 Existence of a highest wave in a fully dispersive two-way shallow water model. Zbl 1435.76014 Ehrnström, Mats; Johnson, Mathew A.; Claassen, Kyle M. 19 2019 An instability index theory for quadratic pencils and applications. Zbl 1301.35081 Bronski, Jared; Johnson, Mathew A.; Kapitula, Todd 18 2014 Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit. Zbl 1310.35035 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 18 2015 On the modulation equations and stability of periodic generalized Korteweg-de Vries waves via Bloch decompositions. Zbl 1211.37087 Johnson, Mathew A.; Zumbrun, Kevin; Bronski, Jared C. 18 2010 On the stability of periodic solutions of the generalized Benjamin-Bona-Mahony equation. Zbl 1204.37075 Johnson, Mathew A. 17 2010 Nonlinear stability of periodic traveling-wave solutions of viscous conservation laws in dimensions one and two. Zbl 1221.35055 Johnson, Mathew A.; Zumbrun, Kevin 16 2011 Rigorous justification of the Whitham modulation equations for the generalized Korteweg-de Vries equation. Zbl 1196.35184 Johnson, M. A.; Zumbrun, K. 16 2010 Convergence of Hill’s method for nonselfadjoint operators. Zbl 1246.65134 Johnson, Mathew A.; Zumbrun, Kevin 13 2012 Stability of periodic Kuramoto-Sivashinsky waves. Zbl 1238.35094 Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 13 2012 Spectral stability of inviscid roll waves. Zbl 1455.35013 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Yang, Zhao; Zumbrun, Kevin 12 2019 Generalized solitary waves in the gravity-capillary Whitham equation. Zbl 1454.35285 Johnson, Mathew A.; Wright, J. Douglas 12 2020 Metastability of solitary roll wave solutions of the St. Venant equations with viscosity. Zbl 1223.37109 Barker, Blake; Johnson, Mathew A.; Rodrigues, L. Miguel; Zumbrun, Kevin 11 2011 Numerical bifurcation and spectral stability of wavetrains in bidirectional Whitham models. Zbl 1401.35250 Claassen, Kyle M.; Johnson, Mathew A. 10 2018 Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit. Zbl 1373.35040 Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 10 2017 The transverse instability of periodic waves in Zakharov-Kuznetsov type equations. Zbl 1190.35201 Johnson, Mathew A. 10 2010 Linear modulational and subharmonic dynamics of spectrally stable Lugiato-Lefever periodic waves. Zbl 1462.35354 Haragus, Mariana; Johnson, Mathew A.; Perkins, Wesley R. 8 2021 Stability of traveling wave solutions of nonlinear dispersive equations of NLS type. Zbl 1467.35299 Leisman, Katelyn Plaisier; Bronski, Jared C.; Johnson, Mathew A.; Marangell, Robert 7 2021 On the bifurcation diagram of the capillary-gravity Whitham equation. Zbl 1446.35124 Ehrnström, Mats; Johnson, Mathew A.; Maehlen, Ola I. H.; Remonato, Filippo 7 2019 Nondegeneracy and stability of antiperiodic bound states for fractional nonlinear Schrödinger equations. Zbl 1417.35176 Claassen, Kyle M.; Johnson, Mathew A. 5 2019 Oscillation estimates of eigenfunctions via the combinatorics of noncrossing partitions. Zbl 1404.34035 Hur, Vera Mikyoung; Johnson, Mathew A.; Martin, Jeremy L. 4 2017 Optimal control results for Sobolev-type fractional stochastic Volterra-Fredholm integrodifferential systems of order \(\vartheta \in (1, 2)\) via sectorial operators. Zbl 1521.49005 Johnson, M.; Vijayakumar, V. 4 2023 Modulational instability of viscous fluid conduit periodic waves. Zbl 1436.35280 Johnson, Mathew A.; Perkins, Wesley R. 3 2020 Subharmonic dynamics of wave trains in reaction-diffusion systems. Zbl 1491.37064 Johnson, Mathew A.; Perkins, Wesley R. 2 2021 Krein signatures for the Faddeev-Takhtajan eigenvalue problem. Zbl 1178.37097 Bronski, Jared C.; Johnson, Mathew A. 1 2009 Solitary waves in a Whitham equation with small surface tension. Zbl 07776420 Johnson, Mathew A.; Truong, Tien; Wheeler, Miles H. 1 2022 Optimal control results for Sobolev-type fractional stochastic Volterra-Fredholm integrodifferential systems of order \(\vartheta \in (1, 2)\) via sectorial operators. Zbl 1521.49005 Johnson, M.; Vijayakumar, V. 4 2023 Solitary waves in a Whitham equation with small surface tension. Zbl 07776420 Johnson, Mathew A.; Truong, Tien; Wheeler, Miles H. 1 2022 Linear modulational and subharmonic dynamics of spectrally stable Lugiato-Lefever periodic waves. Zbl 1462.35354 Haragus, Mariana; Johnson, Mathew A.; Perkins, Wesley R. 8 2021 Stability of traveling wave solutions of nonlinear dispersive equations of NLS type. Zbl 1467.35299 Leisman, Katelyn Plaisier; Bronski, Jared C.; Johnson, Mathew A.; Marangell, Robert 7 2021 Subharmonic dynamics of wave trains in reaction-diffusion systems. Zbl 1491.37064 Johnson, Mathew A.; Perkins, Wesley R. 2 2021 Generalized solitary waves in the gravity-capillary Whitham equation. Zbl 1454.35285 Johnson, Mathew A.; Wright, J. Douglas 12 2020 Modulational instability of viscous fluid conduit periodic waves. Zbl 1436.35280 Johnson, Mathew A.; Perkins, Wesley R. 3 2020 Existence of a highest wave in a fully dispersive two-way shallow water model. Zbl 1435.76014 Ehrnström, Mats; Johnson, Mathew A.; Claassen, Kyle M. 19 2019 Spectral stability of inviscid roll waves. Zbl 1455.35013 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Yang, Zhao; Zumbrun, Kevin 12 2019 On the bifurcation diagram of the capillary-gravity Whitham equation. Zbl 1446.35124 Ehrnström, Mats; Johnson, Mathew A.; Maehlen, Ola I. H.; Remonato, Filippo 7 2019 Nondegeneracy and stability of antiperiodic bound states for fractional nonlinear Schrödinger equations. Zbl 1417.35176 Claassen, Kyle M.; Johnson, Mathew A. 5 2019 Numerical bifurcation and spectral stability of wavetrains in bidirectional Whitham models. Zbl 1401.35250 Claassen, Kyle M.; Johnson, Mathew A. 10 2018 Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit. Zbl 1373.35040 Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 10 2017 Oscillation estimates of eigenfunctions via the combinatorics of noncrossing partitions. Zbl 1404.34035 Hur, Vera Mikyoung; Johnson, Mathew A.; Martin, Jeremy L. 4 2017 Modulational instability in the Whitham equation for water waves. Zbl 1309.35079 Hur, Vera Mikyoung; Johnson, Mathew A. 45 2015 Stability of periodic traveling waves for nonlinear dispersive equations. Zbl 1327.35032 Hur, Vera Mikyoung; Johnson, Mathew A. 22 2015 Modulational instability in the Whitham equation with surface tension and vorticity. Zbl 1330.35329 Hur, Vera Mikyoung; Johnson, Mathew A. 20 2015 Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit. Zbl 1310.35035 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 18 2015 Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations. Zbl 1304.35192 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 40 2014 An instability index theory for quadratic pencils and applications. Zbl 1301.35081 Bronski, Jared; Johnson, Mathew A.; Kapitula, Todd 18 2014 Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1304.35184 Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 38 2013 Nonlocalized modulation of periodic reaction diffusion waves: the Whitham equation. Zbl 1270.35106 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 27 2013 Stability of small periodic waves in fractional KdV-type equations. Zbl 1282.35334 Johnson, Mathew A. 23 2013 Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability. Zbl 1276.35031 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 23 2013 Convergence of Hill’s method for nonselfadjoint operators. Zbl 1246.65134 Johnson, Mathew A.; Zumbrun, Kevin 13 2012 Stability of periodic Kuramoto-Sivashinsky waves. Zbl 1238.35094 Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 13 2012 An index theorem for the stability of periodic travelling waves of Korteweg-de Vries type. Zbl 1230.35118 Bronski, Jared C.; Johnson, Mathew A.; Kapitula, Todd 42 2011 Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction-diffusion equations. Zbl 1246.35034 Johnson, Mathew A.; Zumbrun, Kevin 27 2011 Nonlinear stability of viscous roll waves. Zbl 1240.35037 Johnson, Mathew A.; Zumbrun, Kevin; Noble, Pascal 19 2011 Nonlinear stability of periodic traveling-wave solutions of viscous conservation laws in dimensions one and two. Zbl 1221.35055 Johnson, Mathew A.; Zumbrun, Kevin 16 2011 Metastability of solitary roll wave solutions of the St. Venant equations with viscosity. Zbl 1223.37109 Barker, Blake; Johnson, Mathew A.; Rodrigues, L. Miguel; Zumbrun, Kevin 11 2011 The modulational instability for a generalized Korteweg-de Vries equation. Zbl 1221.35325 Bronski, Jared C.; Johnson, Mathew A. 38 2010 Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case. Zbl 1198.35027 Johnson, Mathew A.; Zumbrun, Kevin 28 2010 Transverse instability of periodic traveling waves in the generalized Kadomtsev-Petviashvili equation. Zbl 1233.35025 Johnson, Mathew A.; Zumbrun, Kevin 20 2010 On the modulation equations and stability of periodic generalized Korteweg-de Vries waves via Bloch decompositions. Zbl 1211.37087 Johnson, Mathew A.; Zumbrun, Kevin; Bronski, Jared C. 18 2010 On the stability of periodic solutions of the generalized Benjamin-Bona-Mahony equation. Zbl 1204.37075 Johnson, Mathew A. 17 2010 Rigorous justification of the Whitham modulation equations for the generalized Korteweg-de Vries equation. Zbl 1196.35184 Johnson, M. A.; Zumbrun, K. 16 2010 The transverse instability of periodic waves in Zakharov-Kuznetsov type equations. Zbl 1190.35201 Johnson, Mathew A. 10 2010 Nonlinear stability of periodic traveling wave solutions of the generalized Korteweg-de Vries equation. Zbl 1200.35261 Johnson, Mathew A. 37 2009 Krein signatures for the Faddeev-Takhtajan eigenvalue problem. Zbl 1178.37097 Bronski, Jared C.; Johnson, Mathew A. 1 2009 all cited Publications top 5 cited Publications all top 5 Cited by 288 Authors 30 Johnson, Mathew A. 27 Zumbrun, Kevin R. 21 Rodrigues, Luis Miguel 16 Pelinovsky, Dmitry Efimovich 13 Hur, Vera Mikyoung 11 Kalisch, Henrik 10 Barker, Blake 10 Noble, Pascal 10 Sandstede, Björn 9 Deconinck, Bernard 9 Ehrnström, Mats 8 Haragus, Mariana 8 Jung, Soyeun 8 Natali, Fábio M. Amorin 8 Trichtchenko, Olga 7 Marangell, Robert 7 Schneider, Guido 6 de Rijk, Björn 6 Kapitula, Todd M. 6 Pandey, Ashish Kumar 6 Perkins, Wesley R. 6 Stefanov, Atanas G. 6 Yang, Zhao 5 Bronski, Jared C. 5 Carter, John D. 5 Dinvay, Evgueni 5 Faver, Timothy E. 5 Le, Uyen 5 Pastor, Ademir 5 Pei, Long 4 Berti, Massimiliano 4 Borluk, Handan 4 Bruell, Gabriele 4 Chen, Jinbing 4 Dutykh, Denys 4 Faye, Grégory 4 Geyer, Anna 4 Hakkaev, Sevdzhan A. 4 Maspero, Alberto 4 Nilsson, Dag Viktor 4 Plaza, Ramón G. 4 Scheel, Arnd 4 Stanislavova, Milena 4 Ventura, Paolo 4 Wahlén, Erik 4 Wang, Yuexun 3 Akers, Benjamin F. 3 Angulo Pava, Jaime 3 Beck, Margaret 3 Benzoni-Gavage, Sylvie 3 Bridges, Thomas J. 3 Hilder, Bastian 3 Hupkes, Hermen Jan 3 Jones, Christopher K. R. T. 3 Kharif, Christian 3 Lyng, Gregory Daniel 3 Marzuola, Jeremy Louis 3 Miller, Peter D. 3 Nicholls, David P. 3 Papageorgiou, Demetrios T. 3 Sukhtayev, Alim 3 Truong, Tien 3 Yao, Jinghua 2 Abid, Malek 2 Amaral, Sabrina 2 Arnesen, Mathias Nikolai 2 Avery, Montie 2 Bhavna, Rajasekaran 2 Camassa, Roberto 2 Claassen, Kyle M. 2 Cristófani, Fabrício 2 de Andrade, Thiago Pinguello 2 de Loreno, Guilherme 2 Demeio, Lucio 2 Duchêne, Vincent 2 Gao, Hongjun 2 Gavrilyuk, Sergey L. 2 Hildrum, Fredrik 2 Holzer, Matt 2 Humpherys, Jeffrey 2 Kalogirou, Anna 2 Klein, Christian 2 Kollár, Richard 2 Kostianko, Anna 2 Lenci, Stefano 2 Lin, Zhiwu 2 Maehlen, Ola I. H. 2 Mietka, Colin 2 Moldabayev, Daulet 2 Moraes, Gabriel E. Bittencourt 2 Muslu, Gulcin M. 2 Nivala, Michael 2 Ogrosky, H. Reed 2 Părău, Emilian I. 2 Parker, Ross 2 Remonato, Filippo 2 Saut, Jean-Claude 2 Swygert, Sterling R. 2 Tobisch, Elena 2 Wheeler, Miles H. ...and 188 more Authors all top 5 Cited in 89 Serials 30 Journal of Differential Equations 29 Physica D 20 Studies in Applied Mathematics 16 SIAM Journal on Mathematical Analysis 11 Archive for Rational Mechanics and Analysis 11 Nonlinearity 8 Communications in Mathematical Physics 7 Journal of Nonlinear Science 7 Water Waves 6 Journal of Fluid Mechanics 6 Journal of Mathematical Analysis and Applications 6 Wave Motion 6 Journal of Dynamics and Differential Equations 6 Discrete and Continuous Dynamical Systems 5 SIAM Journal on Applied Dynamical Systems 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Monatshefte für Mathematik 3 Proceedings of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 SIAM Journal on Applied Mathematics 3 European Journal of Mechanics. B. Fluids 3 Discrete and Continuous Dynamical Systems. Series S 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Physics Letters. A 2 Advances in Mathematics 2 Indiana University Mathematics Journal 2 Inventiones Mathematicae 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Quarterly of Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Bulletin of the Korean Mathematical Society 2 Applied Mathematics Letters 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Nonlinear Analysis. Real World Applications 2 São Paulo Journal of Mathematical Sciences 2 Advances in Mathematical Physics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computers and Fluids 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Theoretical and Mathematical Physics 1 Chaos, Solitons and Fractals 1 Bulletin de la Société Mathématique de France 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Applied Numerical Mathematics 1 Asymptotic Analysis 1 MCSS. Mathematics of Control, Signals, and Systems 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Nonlinear Dynamics 1 Fractional Calculus & Applied Analysis 1 Journal of Evolution Equations 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Discrete and Continuous Dynamical Systems. Series B 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Boundary Value Problems 1 Proceedings of the Steklov Institute of Mathematics 1 Communications in Mathematical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Involve 1 Analysis & PDE 1 Tbilisi Mathematical Journal 1 Advances in Applied Mathematics and Mechanics 1 Journal of Spectral Theory 1 Advances in Nonlinear Analysis 1 Séminaire Laurent Schwartz. EDP et Applications 1 Communications of the American Mathematical Society all top 5 Cited in 24 Fields 252 Partial differential equations (35-XX) 93 Fluid mechanics (76-XX) 59 Dynamical systems and ergodic theory (37-XX) 23 Ordinary differential equations (34-XX) 20 Numerical analysis (65-XX) 14 Operator theory (47-XX) 9 Mechanics of deformable solids (74-XX) 6 Mechanics of particles and systems (70-XX) 5 Real functions (26-XX) 4 Special functions (33-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Integral equations (45-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 Difference and functional equations (39-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year