Edit Profile (opens in new tab) Sideris, Thomas C. Co-Author Distance Author ID: sideris.thomas-c Published as: Sideris, Thomas C.; Sideris, Thomas; Sideris, T. C.; Sideris, T. more...less Documents Indexed: 43 Publications since 1983, including 1 Book and 2 Additional arXiv Preprints Co-Authors: 21 Co-Authors with 22 Joint Publications 833 Co-Co-Authors all top 5 Co-Authors 21 single-authored 4 Thomases, Becca 3 Ponce, Gustavo 2 Chipot, Michel 2 Grauer, Rainer 2 Jonov, Boyan 2 Liu, Xudong 2 Shkoller, Steve 1 Gamblin, Pascal 1 Grafke, Tobias 1 Iftimie, Dragoş 1 Kessenich, Paul 1 Klainerman, Sergiu 1 Lei, Zhen 1 Linares, Felipe 1 Racke, Reinhard 1 Roberts, Jay 1 Titi, Edriss Saleh 1 Tu, Shu-Yi 1 Vega, Luis 1 Wang, Dehua 1 Zhou, Yi all top 5 Serials 5 Communications in Partial Differential Equations 4 Communications on Pure and Applied Mathematics 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 2 Journal of Differential Equations 2 Transactions of the American Mathematical Society 2 Physica D 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 American Journal of Mathematics 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Annals of Mathematics. Second Series 1 Communications on Pure and Applied Analysis 1 Journal of Hyperbolic Differential Equations 1 Kinetic and Related Models 1 Atlantis Studies in Differential Equations all top 5 Fields 40 Partial differential equations (35-XX) 12 Fluid mechanics (76-XX) 10 Mechanics of deformable solids (74-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 1,581 times in 1,062 Documents Cited by ▼ Year ▼ Formation of singularities in three-dimensional compressible fluids. Zbl 0606.76088 Sideris, Thomas C. 255 1985 Nonexistence of global solutions to semilinear wave equations in high dimensions. Zbl 0555.35091 Sideris, Thomas C. 156 1984 Long time behavior of solutions to the 3D compressible Euler equations with damping. Zbl 1048.35051 Sideris, Thomas C.; Thomases, Becca; Wang, Dehua 139 2003 On almost global existence for nonrelativistic wave equations in 3D. Zbl 0867.35064 Klainerman, Sergiu; Sideris, Thomas C. 93 1996 Nonresonance and global existence of prestressed nonlinear elastic waves. Zbl 0957.35126 Sideris, Thomas C. 86 2000 Global existence for three-dimensional incompressible isotropic elastodynamics via the incompressible limit. Zbl 1079.74028 Sideris, Thomas C.; Thomases, Becca 71 2005 Global stability of large solutions to the 3D Navier-Stokes equations. Zbl 0795.35082 Ponce, G.; Racke, R.; Sideris, T. C.; Titi, E. S. 71 1994 Global behavior of solutions to nonlinear wave equations in three dimensions. Zbl 0534.35069 Sideris, Thomas C. 69 1983 Convergence of the ghost fluid method for elliptic equations with interfaces. Zbl 1027.65140 Liu, Xu-Dong; Sideris, Thomas C. 66 2003 Global existence for three-dimensional incompressible isotropic elastodynamics. Zbl 1127.74016 Sideris, Thomas C.; Thomases, Becca 58 2007 Global existence for systems of nonlinear wave equations in 3D with multiple speeds. Zbl 1002.35091 Sideris, Thomas C.; Tu, Shu-Yi 56 2001 Formation of singularities in solutions to nonlinear hyperbolic equations. Zbl 0564.35070 Sideris, Thomas C. 53 1984 The null condition and global existence of nonlinear elastic waves. Zbl 0844.73016 Sideris, Thomas C. 49 1996 Almost global existence for 2-D incompressible isotropic elastodynamics. Zbl 1330.35247 Lei, Zhen; Sideris, Thomas C.; Zhou, Yi 46 2015 Local regularity of nonlinear wave equations in three space dimensions. Zbl 0803.35096 Ponce, Gustavo; Sideris, Thomas C. 41 1993 Delayed singularity formation in 2D compressible flow. Zbl 0876.35091 Sideris, Thomas C. 36 1997 Global existence and asymptotic behavior of affine motion of 3D ideal fluids surrounded by vacuum. Zbl 1367.35115 Sideris, Thomas C. 29 2017 On the evolution of compactly supported planar vorticity. Zbl 0937.35137 Iftimie, Dragoş; Sideris, Thomas C.; Gamblin, Pascal 22 1999 Ordinary differential equations and dynamical systems. Zbl 1293.34001 Sideris, Thomas C. 22 2013 Spreading of the free boundary of an ideal fluid in a vacuum. Zbl 1511.35288 Sideris, Thomas C. 21 2014 Global existence of harmonic maps in Minkowski space. Zbl 0685.58016 Sideris, Thomas C. 19 1989 The lifespan of smooth solutions to the three-dimensional compressible Euler equations and the incompressible limit. Zbl 0736.35087 Sideris, Thomas C. 18 1991 Local energy decay for solutions of multi-dimensional isotropic symmetric hyperbolic systems. Zbl 1108.35016 Sideris, Thomas C.; Thomases, Becca 17 2006 Global existence of near-affine solutions to the compressible Euler equations. Zbl 1445.76063 Shkoller, Steve; Sideris, Thomas C. 17 2019 Stability in \(L^1\) of circular vortex patches. Zbl 1181.35201 Sideris, Thomas C.; Vega, Luis 13 2009 Properties of solutions to the Camassa-Holm equation on the line in a class containing the peakons. Zbl 1435.35330 Linares, Felipe; Ponce, Gustavo; Sideris, Thomas C. 11 2019 An upper bound for the waiting time for nonlinear degenerate parabolic equations. Zbl 0535.35049 Chipot, Michel; Sideris, Thomas 9 1985 Finite time singularities in ideal fluids with swirl. Zbl 0899.76286 Grauer, Rainer; Sideris, Thomas C. 9 1995 Decay estimates for the three-dimensional inhomogeneous Klein-Gordon equation and applications. Zbl 0696.35015 Sideris, Thomas C. 9 1989 Global and almost global existence of small solutions to a dissipative wave equation in 3D with nearly null nonlinear terms. Zbl 1320.35219 Jonov, Boyan; Sideris, Thomas C. 9 2015 Nonlinear hyperbolic systems and elastodynamics. Zbl 1113.35119 Sideris, Thomas C. 4 2004 Affine motion of 2d incompressible fluids surrounded by vacuum and flows in \(\text{SL}(2,\mathbb{R})\). Zbl 1450.76042 Roberts, Jay; Shkoller, Steve; Sideris, Thomas C. 2 2020 Turbulence properties and global regularity of a modified Navier-Stokes equation. Zbl 1284.76098 Grafke, Tobias; Grauer, Rainer; Sideris, Thomas C. 2 2013 A decay estimate for the three-dimensional inhomogeneous Klein-Gordon equation and global existence for nonlinear equations. Zbl 0765.35043 Sideris, Thomas C. 1 1991 The null condition and global existence of nonlinear elastic waves. Zbl 1056.35122 Sideris, Thomas C. 1 2000 Global existence of small displacement solutions for Hookean incompressible viscoelasticity in 3D. Zbl 1491.35410 Jonov, Boyan; Kessenich, Paul; Sideris, Thomas C. 1 2022 Global existence of small displacement solutions for Hookean incompressible viscoelasticity in 3D. Zbl 1491.35410 Jonov, Boyan; Kessenich, Paul; Sideris, Thomas C. 1 2022 Affine motion of 2d incompressible fluids surrounded by vacuum and flows in \(\text{SL}(2,\mathbb{R})\). Zbl 1450.76042 Roberts, Jay; Shkoller, Steve; Sideris, Thomas C. 2 2020 Global existence of near-affine solutions to the compressible Euler equations. Zbl 1445.76063 Shkoller, Steve; Sideris, Thomas C. 17 2019 Properties of solutions to the Camassa-Holm equation on the line in a class containing the peakons. Zbl 1435.35330 Linares, Felipe; Ponce, Gustavo; Sideris, Thomas C. 11 2019 Global existence and asymptotic behavior of affine motion of 3D ideal fluids surrounded by vacuum. Zbl 1367.35115 Sideris, Thomas C. 29 2017 Almost global existence for 2-D incompressible isotropic elastodynamics. Zbl 1330.35247 Lei, Zhen; Sideris, Thomas C.; Zhou, Yi 46 2015 Global and almost global existence of small solutions to a dissipative wave equation in 3D with nearly null nonlinear terms. Zbl 1320.35219 Jonov, Boyan; Sideris, Thomas C. 9 2015 Spreading of the free boundary of an ideal fluid in a vacuum. Zbl 1511.35288 Sideris, Thomas C. 21 2014 Ordinary differential equations and dynamical systems. Zbl 1293.34001 Sideris, Thomas C. 22 2013 Turbulence properties and global regularity of a modified Navier-Stokes equation. Zbl 1284.76098 Grafke, Tobias; Grauer, Rainer; Sideris, Thomas C. 2 2013 Stability in \(L^1\) of circular vortex patches. Zbl 1181.35201 Sideris, Thomas C.; Vega, Luis 13 2009 Global existence for three-dimensional incompressible isotropic elastodynamics. Zbl 1127.74016 Sideris, Thomas C.; Thomases, Becca 58 2007 Local energy decay for solutions of multi-dimensional isotropic symmetric hyperbolic systems. Zbl 1108.35016 Sideris, Thomas C.; Thomases, Becca 17 2006 Global existence for three-dimensional incompressible isotropic elastodynamics via the incompressible limit. Zbl 1079.74028 Sideris, Thomas C.; Thomases, Becca 71 2005 Nonlinear hyperbolic systems and elastodynamics. Zbl 1113.35119 Sideris, Thomas C. 4 2004 Long time behavior of solutions to the 3D compressible Euler equations with damping. Zbl 1048.35051 Sideris, Thomas C.; Thomases, Becca; Wang, Dehua 139 2003 Convergence of the ghost fluid method for elliptic equations with interfaces. Zbl 1027.65140 Liu, Xu-Dong; Sideris, Thomas C. 66 2003 Global existence for systems of nonlinear wave equations in 3D with multiple speeds. Zbl 1002.35091 Sideris, Thomas C.; Tu, Shu-Yi 56 2001 Nonresonance and global existence of prestressed nonlinear elastic waves. Zbl 0957.35126 Sideris, Thomas C. 86 2000 The null condition and global existence of nonlinear elastic waves. Zbl 1056.35122 Sideris, Thomas C. 1 2000 On the evolution of compactly supported planar vorticity. Zbl 0937.35137 Iftimie, Dragoş; Sideris, Thomas C.; Gamblin, Pascal 22 1999 Delayed singularity formation in 2D compressible flow. Zbl 0876.35091 Sideris, Thomas C. 36 1997 On almost global existence for nonrelativistic wave equations in 3D. Zbl 0867.35064 Klainerman, Sergiu; Sideris, Thomas C. 93 1996 The null condition and global existence of nonlinear elastic waves. Zbl 0844.73016 Sideris, Thomas C. 49 1996 Finite time singularities in ideal fluids with swirl. Zbl 0899.76286 Grauer, Rainer; Sideris, Thomas C. 9 1995 Global stability of large solutions to the 3D Navier-Stokes equations. Zbl 0795.35082 Ponce, G.; Racke, R.; Sideris, T. C.; Titi, E. S. 71 1994 Local regularity of nonlinear wave equations in three space dimensions. Zbl 0803.35096 Ponce, Gustavo; Sideris, Thomas C. 41 1993 The lifespan of smooth solutions to the three-dimensional compressible Euler equations and the incompressible limit. Zbl 0736.35087 Sideris, Thomas C. 18 1991 A decay estimate for the three-dimensional inhomogeneous Klein-Gordon equation and global existence for nonlinear equations. Zbl 0765.35043 Sideris, Thomas C. 1 1991 Global existence of harmonic maps in Minkowski space. Zbl 0685.58016 Sideris, Thomas C. 19 1989 Decay estimates for the three-dimensional inhomogeneous Klein-Gordon equation and applications. Zbl 0696.35015 Sideris, Thomas C. 9 1989 Formation of singularities in three-dimensional compressible fluids. Zbl 0606.76088 Sideris, Thomas C. 255 1985 An upper bound for the waiting time for nonlinear degenerate parabolic equations. Zbl 0535.35049 Chipot, Michel; Sideris, Thomas 9 1985 Nonexistence of global solutions to semilinear wave equations in high dimensions. Zbl 0555.35091 Sideris, Thomas C. 156 1984 Formation of singularities in solutions to nonlinear hyperbolic equations. Zbl 0564.35070 Sideris, Thomas C. 53 1984 Global behavior of solutions to nonlinear wave equations in three dimensions. Zbl 0534.35069 Sideris, Thomas C. 69 1983 all cited Publications top 5 cited Publications all top 5 Cited by 1,050 Authors 27 Zhou, Yi 22 Yin, Huicheng 18 Wang, Chengbo 17 Zha, Dongbing 16 Metcalfe, Jason L. 16 Sideris, Thomas C. 15 Lai, Ningan 15 Yuen, Manwai 14 Hidano, Kunio 14 Hu, Xianpeng 14 Lei, Zhen 12 Dong, Jianwei 12 Jleli, Mohamed Boussairi 12 Palmieri, Alessandro 12 Samet, Bessem 11 Cheung, Ka-Luen 11 Speck, Jared 11 Takamura, Hiroyuki 10 Choi, Kyudong 10 Sogge, Christopher D. 10 Tan, Zhong 10 Wakasa, Kyouhei 10 Wang, Dehua 10 Witt, Ingo 10 Wong, Sen 10 Zhang, Yinghui 9 Danchin, Raphaël 9 Han, Wei 9 Jang, Juhi 8 Guo, Yan 8 Jeong, In-Jee 8 Jiang, Fei 8 Katayama, Soichiro 8 Kharibegashvili, S. S. 8 Klainerman, Sergiu 8 Kubo, Hideo 8 Tang, Tong 8 Wang, Liqun 8 Wu, Guochun 8 Xu, Jiang 8 Zhang, Ping 7 Choi, Young-Pil 7 Dzhokhadze, Otar Mikhajlovich 7 Hamza, Mohamed Ali 7 Hou, Songming 7 Iftimie, Dragoş 7 Liu, Mengyun 7 Rodnianski, Igor 7 Wei, Changhua 7 Wu, Xinglong 6 Cai, Yuan 6 Chen, Geng 6 Chen, Wenhui 6 D’Abbicco, Marcello 6 Gallagher, Isabelle 6 Georgiev, Vladimir S. 6 Gibou, Frédéric 6 Hamouda, Makram 6 Hou, Fei 6 Liu, Jianli 6 Luk, Jonathan 6 Mei, Ming 6 Pan, Xinghong 6 Shi, Liwei 6 Yokoyama, Kazuyoshi 6 Zhu, Shengguo 5 D’Ancona, Piero 5 Du, Yi 5 Godin, Paul 5 Hadzic, Mahir 5 Jia, Yan 5 Jiang, Song 5 Kawashima, Shuichi 5 Kirane, Mokhtar 5 Masmoudi, Nader 5 Ozawa, Tohru 5 Pan, Ronghua 5 Pausader, Benoît 5 Ponce, Gustavo 5 Selberg, Sigmund 5 Shkoller, Steve 5 Thomases, Becca 5 Wang, Weike 5 Wang, Yong 5 Wang, Yuexun 5 Xin, Zhouping 5 Yao, Zhengan 5 Yin, Silu 5 Zi, Ruizhao 4 Buckmaster, Tristan 4 Chae, Dongho 4 Chemin, Jean-Yves 4 Ducomet, Bernard 4 Ebert, Marcelo Rempel 4 Epshteyn, Yekaterina 4 Fang, Daoyuan 4 Fischer, Julian 4 Foiaș, Ciprian 4 Guo, Boling 4 He, Daoyin ...and 950 more Authors all top 5 Cited in 206 Serials 96 Journal of Differential Equations 54 Journal of Mathematical Analysis and Applications 49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 40 Archive for Rational Mechanics and Analysis 34 SIAM Journal on Mathematical Analysis 33 Communications in Partial Differential Equations 26 Journal of Mathematical Physics 25 Communications in Mathematical Physics 23 Journal of Computational Physics 22 Discrete and Continuous Dynamical Systems 22 Journal of Hyperbolic Differential Equations 18 Mathematical Methods in the Applied Sciences 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Nonlinear Analysis. Real World Applications 16 Communications on Pure and Applied Mathematics 15 Transactions of the American Mathematical Society 14 Calculus of Variations and Partial Differential Equations 14 NoDEA. Nonlinear Differential Equations and Applications 13 Journal of Functional Analysis 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Chinese Annals of Mathematics. Series B 12 Communications on Pure and Applied Analysis 11 Applicable Analysis 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Journal of Mathematical Fluid Mechanics 11 Journal of Evolution Equations 10 Applied Mathematics Letters 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Acta Mathematica Sinica. English Series 7 Advances in Mathematics 7 Mathematische Annalen 7 Mathematische Zeitschrift 7 Quarterly of Applied Mathematics 7 Boundary Value Problems 6 Nonlinearity 6 Zeitschrift für Analysis und ihre Anwendungen 6 Journal of the European Mathematical Society (JEMS) 6 Annales Henri Poincaré 6 Differential Equations 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Science China. Mathematics 5 Inventiones Mathematicae 5 Proceedings of the American Mathematical Society 5 Applied Numerical Mathematics 5 European Journal of Mechanics. B. Fluids 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Analysis & PDE 5 Advances in Mathematical Physics 5 Nonlinear Analysis. Theory, Methods & Applications 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Statistical Physics 4 Applied Mathematics and Computation 4 Duke Mathematical Journal 4 Journal of Computational and Applied Mathematics 4 Acta Applicandae Mathematicae 4 Physica D 4 Acta Mathematicae Applicatae Sinica. English Series 4 Numerical Methods for Partial Differential Equations 4 Journal of Nonlinear Science 4 Living Reviews in Relativity 4 Discrete and Continuous Dynamical Systems. Series B 4 Kinetic and Related Models 4 Evolution Equations and Control Theory 4 Advances in Nonlinear Analysis 4 Annals of PDE 4 Electronic Research Archive 3 Classical and Quantum Gravity 3 Journal d’Analyse Mathématique 3 Letters in Mathematical Physics 3 Mathematical Notes 3 Annales de l’Institut Fourier 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Bulletin de la Société Mathématique de France 3 Pacific Journal of Mathematics 3 Japan Journal of Applied Mathematics 3 Journal of the American Mathematical Society 3 Bulletin of the American Mathematical Society. New Series 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Selecta Mathematica. New Series 3 Annals of Mathematics. Second Series 3 Regular and Chaotic Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Analysis and Applications (Singapore) 3 Mediterranean Journal of Mathematics 3 Advances in Applied Mathematics and Mechanics 2 Computers & Mathematics with Applications 2 Transport Theory and Statistical Physics 2 Applied Mathematics and Optimization 2 Archiv der Mathematik 2 Hokkaido Mathematical Journal 2 Manuscripta Mathematica 2 Mathematics and Computers in Simulation 2 Mathematische Nachrichten 2 Osaka Journal of Mathematics 2 Studies in Applied Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Chinese Annals of Mathematics. Series A 2 Revista Matemática Iberoamericana 2 Asymptotic Analysis ...and 106 more Serials all top 5 Cited in 39 Fields 972 Partial differential equations (35-XX) 494 Fluid mechanics (76-XX) 73 Numerical analysis (65-XX) 63 Mechanics of deformable solids (74-XX) 40 Global analysis, analysis on manifolds (58-XX) 40 Relativity and gravitational theory (83-XX) 30 Statistical mechanics, structure of matter (82-XX) 24 Dynamical systems and ergodic theory (37-XX) 19 Differential geometry (53-XX) 17 Quantum theory (81-XX) 13 Optics, electromagnetic theory (78-XX) 13 Astronomy and astrophysics (85-XX) 12 Ordinary differential equations (34-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of particles and systems (70-XX) 8 Functional analysis (46-XX) 8 Geophysics (86-XX) 8 Biology and other natural sciences (92-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Real functions (26-XX) 6 Operator theory (47-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Special functions (33-XX) 4 Probability theory and stochastic processes (60-XX) 3 Topological groups, Lie groups (22-XX) 3 Approximations and expansions (41-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) Citations by Year