Edit Profile (opens in new tab) Robinson, James Cooper Co-Author Distance Author ID: robinson.james-c Published as: Robinson, James C.; Robinson, J. C. Homepage: https://warwick.ac.uk/fac/sci/maths/people/staff/james_robinson/ External Links: MGP · ORCID · dblp Documents Indexed: 137 Publications since 1993, including 6 Books 6 Contributions as Editor · 1 Further Contribution Co-Authors: 53 Co-Authors with 109 Joint Publications 1,485 Co-Co-Authors all top 5 Co-Authors 34 single-authored 27 Langa, Jose’ Antonio 13 Rodrigo, José Luis 13 Sadowski, Witold 10 Nolasco de Carvalho, Alexandre 9 Suárez, Antonio 9 Vidal-López, Alejandro 8 Olson, Eric J. 7 Caraballo Garrido, Tomás 6 McCormick, David S. 6 Rodríguez-Bernal, Aníbal 6 Sierżȩga, Mikołaj 5 Dashti, Masoumeh 5 Friz, Peter Karl 4 Fefferman, Charles Louis 4 Laister, Robert 4 Marín-Rubio, Pedro 4 Pinto de Moura, Eleonora 3 Hajduk, Karol W. 3 Sharples, Nicholas 2 Fraser, Jonathan MacDonald 2 Glendinning, Paul Alexander 2 Hoang, Luan Thach 2 Kukavica, Igor 2 Łukaszewicz, Grzegorz 2 Margaris, Alexandros 2 Pooley, Benjamin C. 2 Real Anguas, José 2 Sánchez-Gabites, Jaime J. 2 Skipper, Jack W. D. 1 Blömker, Dirk 1 Bosia, Stefano 1 Chemin, Jean-Yves 1 Chernyshenko, Sergei I. 1 Chipot, Michel 1 Constantin, Peter 1 Cotter, Simon L. 1 Crauel, Hans 1 Cunha, Arthur C. 1 Da Silva, Ricardo Parreira 1 Droniou, Jérôme 1 Galdi, Giovanni Paolo 1 García-Luengo, Julia 1 Henderson, A. M. 1 Hieber, Matthias 1 Nieuwenhuis, Michaela A. C. 1 Nolde, Christian 1 Ożański, Wojciech Sławomir 1 Pata, Vittorino 1 Planas, Gabriela 1 Shibata, Yoshihiro 1 Steinerberger, Stefan 1 Stuart, Andrew M. 1 Tearne, Oliver M. 1 Titi, Edriss Saleh 1 Xue, Wei 1 Zhou, Yi all top 5 Serials 16 Journal of Differential Equations 14 Nonlinearity 9 Journal of Mathematical Analysis and Applications 7 Discrete and Continuous Dynamical Systems 5 Proceedings of the American Mathematical Society 4 Physica D 4 Journal of Dynamics and Differential Equations 4 London Mathematical Society Lecture Note Series 3 Archive for Rational Mechanics and Analysis 3 Physics Letters. A 3 Advances in Mathematics 3 Real Analysis Exchange 3 SIAM Journal on Mathematical Analysis 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Discrete and Continuous Dynamical Systems. Series B 3 Stochastics and Dynamics 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Asymptotic Analysis 2 Dynamic Systems and Applications 2 Journal of Mathematical Fluid Mechanics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin of the London Mathematical Society 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Systems & Control Letters 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Numerical Algorithms 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Set-Valued Analysis 1 Chaos 1 Revista Matemática Complutense 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 Dynamics of Partial Differential Equations 1 Applied Mathematical Sciences 1 Cambridge Studies in Advanced Mathematics 1 Cambridge Tracts in Mathematics 1 Lecture Notes in Mathematics 1 NATO Science Series II: Mathematics, Physics and Chemistry 1 ISRN Mathematical Analysis 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Cambridge Texts in Applied Mathematics all top 5 Fields 92 Partial differential equations (35-XX) 59 Dynamical systems and ergodic theory (37-XX) 46 Fluid mechanics (76-XX) 31 Ordinary differential equations (34-XX) 12 General topology (54-XX) 10 Functional analysis (46-XX) 10 Operator theory (47-XX) 10 Probability theory and stochastic processes (60-XX) 9 Measure and integration (28-XX) 8 Numerical analysis (65-XX) 7 General and overarching topics; collections (00-XX) 5 Manifolds and cell complexes (57-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 2,706 times in 1,769 Documents Cited by ▼ Year ▼ Infinite-dimensional dynamical systems. An introduction to dissipative parabolic PDEs and the theory of global attractors. Zbl 0980.35001Robinson, James C. 385 2001 Attractors for infinite-dimensional non-autonomous dynamical systems. Zbl 1263.37002Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. 249 2013 Introduction (to “From finite to infinite dimensional dynamical systems”). Zbl 1026.37500Robinson, J. C.; Glendinning, P. A. 212 2001 Higher order commutator estimates and local existence for the non-resistive MHD equations and related models. Zbl 1296.35142Fefferman, Charles L.; McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 103 2014 Upper semicontinuity of attractors for small random perturbations of dynamical systems. Zbl 0917.35169Caraballo, Tomás; Langa, José A.; Robinson, James C. 84 1998 The three-dimensional Navier-Stokes equations. Classical theory. Zbl 1358.35002Robinson, James C.; Rodrigo, José L.; Sadowski, Witold 83 2016 Dimensions, embeddings, and attractors. Zbl 1222.37004Robinson, James C. 65 2011 Local existence for the non-resistive MHD equations in Besov spaces. Zbl 1333.35183Chemin, Jean-Yves; McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 58 2016 Stability and random attractors for a reaction-diffusion equation with multiplicative noise. Zbl 1011.37031Caraballo, Tomás; Langa, José A.; Robinson, James C. 54 2000 A comparison between two theories for multi-valued semiflows and their asymptotic behaviour. Zbl 1053.47050Caraballo, T.; Marín-Rubio, P.; Robinson, J. C. 53 2003 A stochastic pitchfork bifurcation in a reaction-diffusion equation. Zbl 0996.60070Caraballo, Tomás; Langa, José A.; Robinson, James C. 50 2001 Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces. Zbl 1359.35150Fefferman, Charles L.; McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 46 2017 Stability, instability, and bifurcation phenomena in non-autonomous differential equations. Zbl 1004.37032Langa, José A.; Robinson, James C.; Suárez, Antonio 44 2002 Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system. Zbl 1119.37023Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.; Suárez, Antonio 44 2007 Stability of random attractors under perturbation and approximation. Zbl 1020.37033Robinson, James C. 42 2002 Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation. Zbl 1282.35042Carvalho, A. N.; Langa, J. A.; Robinson, J. C. 42 2012 Invariant measures for dissipative systems and generalised Banach limits. Zbl 1230.37094Łukaszewicz, Grzegorz; Real, José; Robinson, James C. 33 2011 Attractors for differential equations with variable delays. Zbl 0997.34073Caraballo, Tomás; Langa, José A.; Robinson, James C. 32 2001 Bayesian inverse problems for functions and applications to fluid mechanics. Zbl 1228.35269Cotter, S. L.; Dashti, M.; Robinson, J. C.; Stuart, A. M. 32 2009 Generalised Gagliardo-Nirenberg inequalities using weak Lebesgue spaces and BMO. Zbl 1291.46029McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 31 2013 Energy equality for the 3D critical convective Brinkman-Forchheimer equations. Zbl 1379.35242Hajduk, Karol W.; Robinson, James C. 31 2017 Invariant measures for non-autonomous dissipative dynamical systems. Zbl 1351.37076Łukaszewicz, Grzegorz; Robinson, James C. 31 2014 On the Assouad dimension of self-similar sets with overlaps. Zbl 1317.28014Fraser, J. M.; Henderson, A. M.; Olson, E. J.; Robinson, J. C. 29 2015 Fractal dimension of a random invariant set. Zbl 1134.37364Langa, José A.; Robinson, James C. 28 2006 The effect of noise on the Chafee-Infante equation: a nonlinear case study. Zbl 1173.60022Caraballo, Tomás; Crauel, Hans; Langa, José A.; Robinson, James C. 27 2007 Global attractors: Topology and finite-dimensional dynamics. Zbl 0953.34049Robinson, James C. 27 1999 Supersolutions for a class of semilinear heat equations. Zbl 1334.35169Robinson, James C.; Sierżęga, Mikołaj 27 2013 On the continuity of pullback attractors for evolution processes. Zbl 1175.37078Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. 25 2009 A posteriori regularity of the three-dimensional Navier-Stokes equations from numerical computations. Zbl 1144.81329Chernyshenko, Sergei I.; Constantin, Peter; Robinson, James C.; Titi, Edriss S. 23 2007 Lower bounds on blow up solutions of the three-dimensional Navier-Stokes equations in homogeneous Sobolev spaces. Zbl 1425.76055Robinson, James C.; Sadowski, Witold; Silva, Ricardo P. 23 2012 On the continuity of global attractors. Zbl 1356.37027Hoang, Luan T.; Olson, Eric J.; Robinson, James C. 21 2015 A weak-\(L^p\) Prodi-Serrin type regularity criterion for the Navier-Stokes equations. Zbl 1307.35186Bosia, Stefano; Pata, Vittorino; Robinson, James C. 20 2014 The stability of attractors for non-autonomous perturbations of gradient-like systems. Zbl 1115.37064Langa, José A.; Robinson, James C.; Suárez, Antonio; Vidal-López, Alejandro 20 2007 A topological delay embedding theorem for infinite-dimensional dynamical systems. Zbl 1084.37063Robinson, James C. 19 2005 Almost-everywhere uniqueness of Lagrangian trajectories for suitable weak solutions of the three-dimensional Navier-Stokes equations. Zbl 1173.35631Robinson, James C.; Sadowski, Witold 19 2009 A complete characterisation of local existence for semilinear heat equations in Lebesgue spaces. Zbl 1349.35169Laister, R.; Robinson, J. C.; Sierżȩga, M.; Vidal-López, A. 18 2016 Bifurcations in non-autonomous scalar equations. Zbl 1096.34026Langa, J. A.; Robinson, J. C.; Suárez, A. 18 2006 Lower semicontinuity of attractors for non-autonomous dynamical systems. Zbl 1181.37016Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. 18 2009 Continuity of pullback and uniform attractors. Zbl 1383.37011Hoang, Luan T.; Olson, Eric J.; Robinson, James C. 18 2018 Non-autonomous dynamical systems. Zbl 1384.37024Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. 17 2015 Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations. Zbl 1286.35198Robinson, James C. 16 2013 Stabilisation of linear PDEs by Stratonovich noise. Zbl 1157.60332Caraballo, Tomás; Robinson, James C. 16 2004 Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems. Zbl 1137.35009Robinson, James C.; Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro 16 2007 Attractors for the stochastic 3D Navier-Stokes equations. Zbl 1059.35100Marín-Rubio, Pedro; Robinson, James C. 15 2003 The asymptotic completeness of inertial manifolds. Zbl 0898.35016Robinson, James C. 15 1996 Decay of weak solutions and the singular set of the three-dimensional Navier-Stokes equations. Zbl 1120.35075Robinson, James C.; Sadowski, Witold 15 2007 Almost bi-Lipschitz embeddings and almost homogeneous sets. Zbl 1197.54045Olson, Eric J.; Robinson, James C. 13 2010 Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system. Zbl 1044.34009Langa, José A.; Robinson, James C.; Suárez, Antonio 13 2003 The motion of a fluid–rigid disc system at the zero limit of the rigid disc radius. Zbl 1294.76082Dashti, Masoumeh; Robinson, James C. 13 2011 Rigorous numerical verification of uniqueness and smoothness in a surface growth model. Zbl 1315.65092Blömker, Dirk; Nolde, Christian; Robinson, James C. 12 2015 Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations. Zbl 1126.37008Langa, J. A.; Robinson, J. C.; Rodríguez-Bernal, A.; Suárez, A.; Vidal-López, A. 12 2007 A local smoothness criterion for solutions of the 3D Navier-Stokes equations. Zbl 1296.35123Robinson, James C.; Sadowski, Witold 12 2014 On the dimension of the singular set of solutions to the Navier-Stokes equations. Zbl 1233.35162Robinson, James C.; Sadowski, Witold 12 2012 An introduction to ordinary differential equations. Zbl 1053.34001Robinson, James C. 11 2004 Linear embeddings of finite-dimensional subsets of Banach spaces into Euclidean spaces. Zbl 1163.54008Robinson, James C. 11 2009 Inertial manifolds for the Kuramoto-Sivashinsky equation. Zbl 0941.35511Robinson, James C. 11 1994 Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation. Zbl 1317.35206McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 11 2014 Partial regularity for a surface growth model. Zbl 1408.35065Ożański, Wojciech S.; Robinson, James C. 11 2019 Permanence and asymptotically stable complete trajectories for nonautonomous Lotka-Volterra models with diffusion. Zbl 1185.35119Langa, José A.; Robinson, James C.; Rodríguez-Bernal, Aníbal; Suárez, Antonio 10 2009 Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values. Zbl 1076.35090Friz, P. K.; Robinson, J. C. 9 2001 Smooth attractors have zero “thickness”. Zbl 0971.37011Friz, Peter K.; Robinson, James C. 9 1999 Numerical verification of regularity in the three-dimensional Navier-Stokes equations for bounded sets of initial data. Zbl 1155.35071Robinson, James C.; Sadowski, Witold 8 2008 Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing. Zbl 1277.35064García-Luengo, Julia; Marín-Rubio, Pedro; Real, José; Robinson, James C. 8 2014 Nodal parametrisation of analytic attractors. Zbl 1153.37439Friz, Peter K.; Kukavica, Igor; Robinson, James C. 8 2001 Solutions of the 3D Navier-Stokes equations for initial data in \(\dot H^{1/2}\): robustness of regularity and numerical verification of regularity for bounded sets of initial data in. Zbl 1310.35190Marín-Rubio, Pedro; Robinson, James C.; Sadowski, Witold 8 2013 Well-posedness for the diffusive 3D Burgers equations with initial data in \(H^{1/2}\). Zbl 1365.35079Pooley, Benjamin C.; Robinson, James C. 8 2016 An a posteriori condition on the numerical approximations of the Navier-Stokes equations for the existence of a strong solution. Zbl 1235.76022Dashti, Masoumeh; Robinson, James C. 8 2008 Generalised Cantor sets and the dimension of products. Zbl 1371.28024Olson, Eric J.; Robinson, James C.; Sharples, Nicholas 8 2016 A criterion for uniqueness of Lagrangian trajectories for weak solutions of the 3D Navier-Stokes equations. Zbl 1186.35146Robinson, James C.; Sadowski, Witold 7 2009 Non-existence of local solutions for semilinear heat equations of Osgood type. Zbl 1319.35108Laister, R.; Robinson, J. C.; Sierżȩga, M. 7 2013 Lipschitz deviation and embeddings of global attractors. Zbl 1213.37112Pinto de Moura, Eleonora; Robinson, James C. 6 2010 Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem. Zbl 1058.35045Kukavica, Igor; Robinson, James C. 6 2004 A rigorous treatment of ‘experimental’ observations for the two-dimensional Navier-Stokes equations. Zbl 1013.35062Robinson, James C. 6 2001 Computing inertial manifolds. Zbl 1032.34060Robinson, James C. 6 2002 Strict inequality in the box-counting dimension product formulas. Zbl 1277.28014Robinson, James C.; Sharples, Nicholas 6 2013 A concise proof of the ”geometric” construction of inertial manifolds. Zbl 1020.34509Robinson, James C. 6 1995 Embedding of global attractors and their dynamics. Zbl 1250.37032Pinto de Moura, Eleonora; Robinson, James C.; Sánchez-Gabites, J. J. 6 2011 Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain. Zbl 1439.35392Chipot, Michel; Droniou, Jérôme; Planas, Gabriela; Robinson, James C.; Xue, Wei 5 2020 Energy conservation for the Euler equations on \(\mathbb{T}^2 \times \mathbb{R}_+\) for weak solutions defined without reference to the pressure. Zbl 1417.35104Robinson, James C.; Rodrigo, José L.; Skipper, Jack W. D. 5 2018 Inertial manifolds and the cone condition. Zbl 0787.34036Robinson, James C. 5 1993 Inertial manifolds with and without delay. Zbl 0954.37037Robinson, James C. 5 1999 A finite number of point observations which determine a non-autonomous fluid flow. Zbl 1193.37103Langa, José A.; Robinson, James C. 5 2001 Pullback permanence in a non-autonomous competitive Lotka–Volterra model. Zbl 1027.35017Langa, J. A.; Robinson, J. C.; Suárez, A. 5 2003 Determining asymptotic behavior from the dynamics on attracting sets. Zbl 0933.34059Langa, José A.; Robinson, James C. 5 1999 A note on well-posedness of semilinear reaction-diffusion problem with singular initial data. Zbl 1227.35095Robinson, James C.; Sierżȩga, Mikołaj 5 2012 Robustness of regularity for the 3D convective Brinkman-Forchheimer equations. Zbl 1476.35196Hajduk, Karol W.; Robinson, James C.; Sadowski, Witold 4 2021 Orthogonal sequences and regularity of embeddings into finite-dimensional spaces. Zbl 1206.46023Pinto de Moura, E.; Robinson, J. C. 4 2010 A coupled particle-continuum model: Well-posedness and the limit of zero radius. Zbl 1063.76106Robinson, James C. 4 2004 A simple proof of uniqueness of the particle trajectories for solutions of the Navier-Stokes equations. Zbl 1165.35424Dashti, M.; Robinson, J. C. 4 2009 Finite-dimensional behavior in dissipative partial differential equations. Zbl 1055.35501Robinson, J. C. 3 1995 Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values. Zbl 0969.35024Friz, Peter K.; Robinson, James C. 3 2001 Lower bounds on blowing-up solutions of the three-dimensional Navier-Stokes equations in \(\dot H^{3/2}\), \(\dot H^{5/2}\), and \(\dot B^{5/2}_{2,1}\). Zbl 1344.35081McCormick, David S.; Olson, Eric J.; Robinson, James C.; Rodrigo, Jose L.; Vidal-López, Alejandro; Zhou, Yi 3 2016 Non-existence of local solutions of semilinear heat equations of Osgood type in bounded domains. (Non-existence de solutions locales pour les équations de la chaleur semi-linéaires de type Osgood dans des domaines bornés.) Zbl 1297.35114Laister, Robert; Robinson, James C.; Sierżȩga, Mikolaj 3 2014 A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations. Zbl 1372.35156Laister, R.; Robinson, J. C.; Sierżęga, M. 3 2017 Dimension prints and the avoidance of sets for flow solutions of non-autonomous ordinary differential equations. Zbl 1321.34020Robinson, James C.; Sharples, Nicholas 3 2013 Low dimensional attractors arise from forcing at small scales. Zbl 1040.35063Robinson, James C. 3 2003 A topological time-delay embeddding theorem for infinite-dimensional cocycle dynamical systems. Zbl 1149.37011Robinson, J. C. 3 2008 Bifurcation from zero of a complete trajectory for nonautonomous logistic PDEs. Zbl 1092.35514Langa, José A.; Robinson, James C.; Suárez, Antonio 3 2005 Minimal periods of semilinear evolution equations with Lipschitz nonlinearity. Zbl 1087.34037Robinson, James C.; Vidal-López, Alejandro 3 2006 Regularity and singularity in the three-dimensional Navier-Stokes equations. Zbl 1244.35106Robinson, James C. 3 2006 Finite-dimensional negatively invariant subsets of Banach spaces. Zbl 1494.37047Carvalho, Alexandre N.; Cunha, Arthur C.; Langa, José A.; Robinson, James C. 1 2022 Robustness of regularity for the 3D convective Brinkman-Forchheimer equations. Zbl 1476.35196Hajduk, Karol W.; Robinson, James C.; Sadowski, Witold 4 2021 Using periodic boundary conditions to approximate the Navier-Stokes equations on \(\mathbb{R}^3\) and the transfer of regularity. Zbl 1479.35632Robinson, James C. 1 2021 Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain. Zbl 1439.35392Chipot, Michel; Droniou, Jérôme; Planas, Gabriela; Robinson, James C.; Xue, Wei 5 2020 Mathematical analysis of the Navier-Stokes equations. Lecture notes given at the CIME school on mathematical analysis of the Navier-Stokes equations: foundations and overview of basic open problems, Cetraro, Italy, September 4–8, 2017. Zbl 1443.35002 2 2020 Forwards dynamics of non-autonomous dynamical systems: driving semigroups without backwards uniqueness and structure of the attractor. Zbl 1446.37022Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. 1 2020 Partial regularity for the 3D Navier-Stokes equations. Zbl 1442.35309Robinson, James C. 1 2020 The Navier-Stokes regularity problem. Zbl 1462.35251Robinson, James C. 1 2020 Partial regularity for a surface growth model. Zbl 1408.35065Ożański, Wojciech S.; Robinson, James C. 11 2019 Embedding properties of sets with finite box-counting dimension. Zbl 1428.37020Margaris, Alexandros; Robinson, James C. 2 2019 Continuity of pullback and uniform attractors. Zbl 1383.37011Hoang, Luan T.; Olson, Eric J.; Robinson, James C. 18 2018 Energy conservation for the Euler equations on \(\mathbb{T}^2 \times \mathbb{R}_+\) for weak solutions defined without reference to the pressure. Zbl 1417.35104Robinson, James C.; Rodrigo, José L.; Skipper, Jack W. D. 5 2018 Optimal existence classes and nonlinear-like dynamics in the linear heat equation in \(\mathbb{R}^d\). Zbl 1400.35151Robinson, James C.; Rodríguez-Bernal, Aníbal 3 2018 Energy conservation in the 3D Euler equations on \({\mathbb T}^2 \times {\mathbb R}_+\). Zbl 1408.35139Robinson, James C.; Rodrigo, José L.; Skipper, Jack W. D. 1 2018 Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces. Zbl 1359.35150Fefferman, Charles L.; McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 46 2017 Energy equality for the 3D critical convective Brinkman-Forchheimer equations. Zbl 1379.35242Hajduk, Karol W.; Robinson, James C. 31 2017 A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations. Zbl 1372.35156Laister, R.; Robinson, J. C.; Sierżęga, M. 3 2017 The three-dimensional Navier-Stokes equations. Classical theory. Zbl 1358.35002Robinson, James C.; Rodrigo, José L.; Sadowski, Witold 83 2016 Local existence for the non-resistive MHD equations in Besov spaces. Zbl 1333.35183Chemin, Jean-Yves; McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 58 2016 A complete characterisation of local existence for semilinear heat equations in Lebesgue spaces. Zbl 1349.35169Laister, R.; Robinson, J. C.; Sierżȩga, M.; Vidal-López, A. 18 2016 Well-posedness for the diffusive 3D Burgers equations with initial data in \(H^{1/2}\). Zbl 1365.35079Pooley, Benjamin C.; Robinson, James C. 8 2016 Generalised Cantor sets and the dimension of products. Zbl 1371.28024Olson, Eric J.; Robinson, James C.; Sharples, Nicholas 8 2016 Lower bounds on blowing-up solutions of the three-dimensional Navier-Stokes equations in \(\dot H^{3/2}\), \(\dot H^{5/2}\), and \(\dot B^{5/2}_{2,1}\). Zbl 1344.35081McCormick, David S.; Olson, Eric J.; Robinson, James C.; Rodrigo, Jose L.; Vidal-López, Alejandro; Zhou, Yi 3 2016 On finite-dimensional global attractors of homeomorphisms. Zbl 1362.37066Robinson, James C.; Sánchez-Gabites, Jaime J. 2 2016 An Eulerian-Lagrangian form for the Euler equations in Sobolev spaces. Zbl 1359.76041Pooley, Benjamin C.; Robinson, James C. 1 2016 On the Assouad dimension of self-similar sets with overlaps. Zbl 1317.28014Fraser, J. M.; Henderson, A. M.; Olson, E. J.; Robinson, J. C. 29 2015 On the continuity of global attractors. Zbl 1356.37027Hoang, Luan T.; Olson, Eric J.; Robinson, James C. 21 2015 Non-autonomous dynamical systems. Zbl 1384.37024Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. 17 2015 Rigorous numerical verification of uniqueness and smoothness in a surface growth model. Zbl 1315.65092Blömker, Dirk; Nolde, Christian; Robinson, James C. 12 2015 A simple example concerning the upper box-counting dimension of a Cartesian product. Zbl 1384.28008Olson, Eric J.; Robinson, James C. 1 2015 Higher order commutator estimates and local existence for the non-resistive MHD equations and related models. Zbl 1296.35142Fefferman, Charles L.; McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 103 2014 Invariant measures for non-autonomous dissipative dynamical systems. Zbl 1351.37076Łukaszewicz, Grzegorz; Robinson, James C. 31 2014 A weak-\(L^p\) Prodi-Serrin type regularity criterion for the Navier-Stokes equations. Zbl 1307.35186Bosia, Stefano; Pata, Vittorino; Robinson, James C. 20 2014 A local smoothness criterion for solutions of the 3D Navier-Stokes equations. Zbl 1296.35123Robinson, James C.; Sadowski, Witold 12 2014 Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation. Zbl 1317.35206McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 11 2014 Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing. Zbl 1277.35064García-Luengo, Julia; Marín-Rubio, Pedro; Real, José; Robinson, James C. 8 2014 Non-existence of local solutions of semilinear heat equations of Osgood type in bounded domains. (Non-existence de solutions locales pour les équations de la chaleur semi-linéaires de type Osgood dans des domaines bornés.) Zbl 1297.35114Laister, Robert; Robinson, James C.; Sierżȩga, Mikolaj 3 2014 Log-Lipschitz embeddings of homogeneous sets with sharp logarithmic exponents and slicing products of balls. Zbl 1314.46029Robinson, James C. 2 2014 Log-Lipschitz continuity of the vector field on the attractor of certain parabolic equations. Zbl 1315.35038De Moura, Eleonora Pinto; Robinson, James C. 2 2014 Minimal periods for ordinary differential equations in strictly convex Banach spaces and explicit bounds for some \(L^p\)-spaces. Zbl 1287.34032Nieuwenhuis, Michaela A. C.; Robinson, James C.; Steinerberger, Stefan 1 2014 Attractors for infinite-dimensional non-autonomous dynamical systems. Zbl 1263.37002Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. 249 2013 Generalised Gagliardo-Nirenberg inequalities using weak Lebesgue spaces and BMO. Zbl 1291.46029McCormick, David S.; Robinson, James C.; Rodrigo, Jose L. 31 2013 Supersolutions for a class of semilinear heat equations. Zbl 1334.35169Robinson, James C.; Sierżęga, Mikołaj 27 2013 Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations. Zbl 1286.35198Robinson, James C. 16 2013 Solutions of the 3D Navier-Stokes equations for initial data in \(\dot H^{1/2}\): robustness of regularity and numerical verification of regularity for bounded sets of initial data in. Zbl 1310.35190Marín-Rubio, Pedro; Robinson, James C.; Sadowski, Witold 8 2013 Non-existence of local solutions for semilinear heat equations of Osgood type. Zbl 1319.35108Laister, R.; Robinson, J. C.; Sierżȩga, M. 7 2013 Strict inequality in the box-counting dimension product formulas. Zbl 1277.28014Robinson, James C.; Sharples, Nicholas 6 2013 Dimension prints and the avoidance of sets for flow solutions of non-autonomous ordinary differential equations. Zbl 1321.34020Robinson, James C.; Sharples, Nicholas 3 2013 Minimal periods of semilinear evolution equations with Lipschitz nonlinearity revisited. Zbl 1284.34056Robinson, James C.; Vidal-López, Alejandro 2 2013 Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation. Zbl 1282.35042Carvalho, A. N.; Langa, J. A.; Robinson, J. C. 42 2012 Lower bounds on blow up solutions of the three-dimensional Navier-Stokes equations in homogeneous Sobolev spaces. Zbl 1425.76055Robinson, James C.; Sadowski, Witold; Silva, Ricardo P. 23 2012 On the dimension of the singular set of solutions to the Navier-Stokes equations. Zbl 1233.35162Robinson, James C.; Sadowski, Witold 12 2012 A note on well-posedness of semilinear reaction-diffusion problem with singular initial data. Zbl 1227.35095Robinson, James C.; Sierżȩga, Mikołaj 5 2012 Dimensions, embeddings, and attractors. Zbl 1222.37004Robinson, James C. 65 2011 Invariant measures for dissipative systems and generalised Banach limits. Zbl 1230.37094Łukaszewicz, Grzegorz; Real, José; Robinson, James C. 33 2011 The motion of a fluid–rigid disc system at the zero limit of the rigid disc radius. Zbl 1294.76082Dashti, Masoumeh; Robinson, James C. 13 2011 Embedding of global attractors and their dynamics. Zbl 1250.37032Pinto de Moura, Eleonora; Robinson, James C.; Sánchez-Gabites, J. J. 6 2011 Almost bi-Lipschitz embeddings and almost homogeneous sets. Zbl 1197.54045Olson, Eric J.; Robinson, James C. 13 2010 Lipschitz deviation and embeddings of global attractors. Zbl 1213.37112Pinto de Moura, Eleonora; Robinson, James C. 6 2010 Orthogonal sequences and regularity of embeddings into finite-dimensional spaces. Zbl 1206.46023Pinto de Moura, E.; Robinson, J. C. 4 2010 Finite-dimensional global attractors in Banach spaces. Zbl 1215.35038Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. 3 2010 Bayesian inverse problems for functions and applications to fluid mechanics. Zbl 1228.35269Cotter, S. L.; Dashti, M.; Robinson, J. C.; Stuart, A. M. 32 2009 On the continuity of pullback attractors for evolution processes. Zbl 1175.37078Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. 25 2009 Almost-everywhere uniqueness of Lagrangian trajectories for suitable weak solutions of the three-dimensional Navier-Stokes equations. Zbl 1173.35631Robinson, James C.; Sadowski, Witold 19 2009 Lower semicontinuity of attractors for non-autonomous dynamical systems. Zbl 1181.37016Carvalho, Alexandre N.; Langa, José A.; Robinson, James C. 18 2009 Linear embeddings of finite-dimensional subsets of Banach spaces into Euclidean spaces. Zbl 1163.54008Robinson, James C. 11 2009 Permanence and asymptotically stable complete trajectories for nonautonomous Lotka-Volterra models with diffusion. Zbl 1185.35119Langa, José A.; Robinson, James C.; Rodríguez-Bernal, Aníbal; Suárez, Antonio 10 2009 A criterion for uniqueness of Lagrangian trajectories for weak solutions of the 3D Navier-Stokes equations. Zbl 1186.35146Robinson, James C.; Sadowski, Witold 7 2009 A simple proof of uniqueness of the particle trajectories for solutions of the Navier-Stokes equations. Zbl 1165.35424Dashti, M.; Robinson, J. C. 4 2009 The regularity problem for the three-dimensional Navier-Stokes equations. Zbl 1387.35465Robinson, James C.; Sadowski, Witold 2 2009 Numerical verification of regularity in the three-dimensional Navier-Stokes equations for bounded sets of initial data. Zbl 1155.35071Robinson, James C.; Sadowski, Witold 8 2008 An a posteriori condition on the numerical approximations of the Navier-Stokes equations for the existence of a strong solution. Zbl 1235.76022Dashti, Masoumeh; Robinson, James C. 8 2008 A topological time-delay embeddding theorem for infinite-dimensional cocycle dynamical systems. Zbl 1149.37011Robinson, J. C. 3 2008 Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system. Zbl 1119.37023Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.; Suárez, Antonio 44 2007 The effect of noise on the Chafee-Infante equation: a nonlinear case study. Zbl 1173.60022Caraballo, Tomás; Crauel, Hans; Langa, José A.; Robinson, James C. 27 2007 A posteriori regularity of the three-dimensional Navier-Stokes equations from numerical computations. Zbl 1144.81329Chernyshenko, Sergei I.; Constantin, Peter; Robinson, James C.; Titi, Edriss S. 23 2007 The stability of attractors for non-autonomous perturbations of gradient-like systems. Zbl 1115.37064Langa, José A.; Robinson, James C.; Suárez, Antonio; Vidal-López, Alejandro 20 2007 Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems. Zbl 1137.35009Robinson, James C.; Rodríguez-Bernal, Aníbal; Vidal-López, Alejandro 16 2007 Decay of weak solutions and the singular set of the three-dimensional Navier-Stokes equations. Zbl 1120.35075Robinson, James C.; Sadowski, Witold 15 2007 Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations. Zbl 1126.37008Langa, J. A.; Robinson, J. C.; Rodríguez-Bernal, A.; Suárez, A.; Vidal-López, A. 12 2007 Parametrization of global attractors, experimental observations, and turbulence. Zbl 1175.76041Robinson, James C. 1 2007 Fractal dimension of a random invariant set. Zbl 1134.37364Langa, José A.; Robinson, James C. 28 2006 Bifurcations in non-autonomous scalar equations. Zbl 1096.34026Langa, J. A.; Robinson, J. C.; Suárez, A. 18 2006 Minimal periods of semilinear evolution equations with Lipschitz nonlinearity. Zbl 1087.34037Robinson, James C.; Vidal-López, Alejandro 3 2006 Regularity and singularity in the three-dimensional Navier-Stokes equations. Zbl 1244.35106Robinson, James C. 3 2006 A topological delay embedding theorem for infinite-dimensional dynamical systems. Zbl 1084.37063Robinson, James C. 19 2005 Bifurcation from zero of a complete trajectory for nonautonomous logistic PDEs. Zbl 1092.35514Langa, José A.; Robinson, James C.; Suárez, Antonio 3 2005 Stabilisation of linear PDEs by Stratonovich noise. Zbl 1157.60332Caraballo, Tomás; Robinson, James C. 16 2004 An introduction to ordinary differential equations. Zbl 1053.34001Robinson, James C. 11 2004 Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem. Zbl 1058.35045Kukavica, Igor; Robinson, James C. 6 2004 A coupled particle-continuum model: Well-posedness and the limit of zero radius. Zbl 1063.76106Robinson, James C. 4 2004 Stability of random attractors for a backwards Euler scheme. Zbl 1082.37056Robinson, James C. 1 2004 A comparison between two theories for multi-valued semiflows and their asymptotic behaviour. Zbl 1053.47050Caraballo, T.; Marín-Rubio, P.; Robinson, J. C. 53 2003 Attractors for the stochastic 3D Navier-Stokes equations. Zbl 1059.35100Marín-Rubio, Pedro; Robinson, James C. 15 2003 Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system. Zbl 1044.34009Langa, José A.; Robinson, James C.; Suárez, Antonio 13 2003 Pullback permanence in a non-autonomous competitive Lotka–Volterra model. Zbl 1027.35017Langa, J. A.; Robinson, J. C.; Suárez, A. 5 2003 Low dimensional attractors arise from forcing at small scales. Zbl 1040.35063Robinson, James C. 3 2003 Stability, instability, and bifurcation phenomena in non-autonomous differential equations. Zbl 1004.37032Langa, José A.; Robinson, James C.; Suárez, Antonio 44 2002 Stability of random attractors under perturbation and approximation. Zbl 1020.37033Robinson, James C. 42 2002 Computing inertial manifolds. Zbl 1032.34060Robinson, James C. 6 2002 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,715 Authors 67 Robinson, James Cooper 58 Caraballo Garrido, Tomás 57 Langa, Jose’ Antonio 42 Kloeden, Peter Eris 40 Li, Yangrong 38 Nolasco de Carvalho, Alexandre 37 Zhong, Chengkui 33 Sun, Chunyou 32 Valero, José 30 Zhao, Caidi 25 Zhou, Shengfan 24 Mohan, Manil Thankamani 21 Cui, Hongyong 21 Marín-Rubio, Pedro 19 Fraser, Jonathan MacDonald 19 Freitas, Mirelson M. 19 Titi, Edriss Saleh 18 Duan, Jinqiao 16 Cung The Anh 16 Li, Desheng 15 Real Anguas, José 15 Wang, Bixiang 15 Xie, Yongqin 15 Yang, Meihua 15 Yang, Xinguang 15 Zelik, Sergey V. 14 Kapustyan, Oleksiy V. 14 Kukavica, Igor 14 Nascimento, Marcelo Jose Dias 14 Obaya, Rafael 13 Łukaszewicz, Grzegorz 13 Simsen, Jacson 13 Stuart, Andrew M. 13 You, Bo 13 Zhu, Kaixuan 12 Bezerra, Flank David Morais 12 Bortolan, Matheus Cheque 12 Sanjurjo, José M. R. 12 Wang, Renhai 11 Olson, Eric J. 11 Wang, Yejuan 11 Wu, Jiahong 11 You, Yuncheng 11 Zhao, Wenqiang 10 Bonotto, Everaldo M. 10 Kalita, Piotr 10 Pötzsche, Christian 10 Ramos, Anderson J. A. 10 Wang, Jintao 10 Zhang, Qiangheng 10 Zhou, Feng 9 Barge Yáñez, Héctor 9 Blömker, Dirk 9 Czaja, Radosław 9 Ishige, Kazuhiro 9 Larios, Adam 9 Li, Fang 9 Li, Fuzhi 9 Ożański, Wojciech Sławomir 9 Pizzocchero, Livio 9 Schmalfuß, Björn 9 Wang, Yanqing 9 Yang, Lu 9 Yang, Zhijian 9 Yin, Jinyan 8 Cheskidov, Alexey 8 Colucci, Renato 8 Foiaș, Ciprian 8 García-Luengo, Julia 8 Huang, Jianhua 8 Kostianko, Anna 8 Li, Yanan 8 Liu, Hui 8 Meng, Fengjuan 8 Rasmussen, Martin 8 Rodrigo, José Luis 8 Tan, Wen 7 Anguiano, María 7 Chekroun, Mickaël D. 7 Gess, Benjamin 7 Guo, Boling 7 Han, Xiaoying 7 Jiang, Zaihong 7 Kim, Jaemyoung 7 Kinra, Kush 7 Li, Chunqiu 7 Li, Dandan 7 Li, Yongsheng 7 Lu, Kening 7 Ma, Qiaozhen 7 Ma, Shan 7 McCormick, David S. 7 Morosi, Carlo 7 Rivero, Felipe 7 Rodríguez-Bernal, Aníbal 7 Suárez, Antonio 7 Sultanov, Oskar A. 7 Sun, Chengfeng 7 Yan, Xingjie 6 Alouini, Brahim ...and 1,615 more Authors all top 5 Cited in 304 Serials 158 Journal of Differential Equations 93 Journal of Mathematical Analysis and Applications 89 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 83 Discrete and Continuous Dynamical Systems. Series B 51 Discrete and Continuous Dynamical Systems 43 Journal of Mathematical Physics 42 Physica D 41 Journal of Dynamics and Differential Equations 33 Nonlinear Analysis. Real World Applications 29 Communications on Pure and Applied Analysis 28 Journal of Mathematical Fluid Mechanics 24 Nonlinearity 24 Stochastics and Dynamics 21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 20 SIAM Journal on Mathematical Analysis 19 Applied Mathematics and Computation 18 Archive for Rational Mechanics and Analysis 18 ZAMP. 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Nonlinear Differential Equations and Applications 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Advances in Difference Equations 6 Set-Valued and Variational Analysis 6 Electronic Research Archive 5 Inverse Problems 5 Annales Polonici Mathematici 5 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 5 International Journal of Computer Mathematics 5 Advances in Differential Equations 5 Vietnam Journal of Mathematics 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Stochastics 5 Science China. Mathematics 5 Stochastic and Partial Differential Equations. Analysis and Computations 5 SIAM/ASA Journal on Uncertainty Quantification 4 BIT 4 Mathematische Annalen 4 Applied Numerical Mathematics 4 Stochastic Processes and their Applications 4 Journal of Mathematical Sciences (New York) 4 Mathematical Problems in Engineering 4 Differential Equations and Dynamical Systems 4 Revista Matemática Complutense 4 Journal of Fractal Geometry 4 Annals of PDE 4 Applied Mathematics and Nonlinear Sciences 4 AIMS Mathematics 4 SN Partial Differential Equations and Applications 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 3 Physica A 3 Archiv der Mathematik 3 Bulletin of the London Mathematical Society 3 Indiana University Mathematics Journal 3 Mathematics and Computers in Simulation 3 Mathematische Zeitschrift 3 Applied Mathematics and Mechanics. (English Edition) 3 The Annals of Applied Probability ...and 204 more Serials all top 5 Cited in 45 Fields 1,294 Partial differential equations (35-XX) 669 Dynamical systems and ergodic theory (37-XX) 511 Fluid mechanics (76-XX) 231 Probability theory and stochastic processes (60-XX) 180 Ordinary differential equations (34-XX) 106 Numerical analysis (65-XX) 75 Measure and integration (28-XX) 64 Systems theory; control (93-XX) 60 Biology and other natural sciences (92-XX) 58 Operator theory (47-XX) 54 Mechanics of deformable solids (74-XX) 38 Functional analysis (46-XX) 35 Geophysics (86-XX) 34 Real functions (26-XX) 27 Statistics (62-XX) 26 General topology (54-XX) 26 Statistical mechanics, structure of matter (82-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 19 Global analysis, analysis on manifolds (58-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Difference and functional equations (39-XX) 14 Mechanics of particles and systems (70-XX) 13 Integral equations (45-XX) 8 Manifolds and cell complexes (57-XX) 8 Computer science (68-XX) 6 Algebraic topology (55-XX) 6 Optics, electromagnetic theory (78-XX) 6 Quantum theory (81-XX) 6 Operations research, mathematical programming (90-XX) 5 Functions of a complex variable (30-XX) 5 Differential geometry (53-XX) 5 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year