The Library
Browse by Warwick Author
Up a level |
Number of items: 74.
2023
Robinson, James C. and RodrΓguez-Bernal, Anibal (2023) Estimates for the heat flow in optimal spaces of unbounded initial data in Rd and applications to the OrnsteinβUhlenbeck semigroup. Mediterranean Journal of Mathematics, 20 (2). 70. doi:10.1007/s00009-023-02293-6 ISSN 1660-5446.
2022
Robinson, J. C. and Rodriguez-Bernal, A. (2022) Linear non-autonomous heat flow in L^1_0(R^d) and applications to elliptic equations in R^d. Journal of Dynamics and Differential Equations . doi:10.1007/s10884-022-10195-6 ISSN 1040-7294. (In Press)
Fefferman, C. L., Hajduk, K. W. and Robinson, James C. (2022) Simultaneous approximation in Lebesgue and Sobolev norms via eigenspaces. Proceedings of the London Mathematical Society, 125 (4). pp. 759-777. doi:10.1112/plms.12469 ISSN 0024-6115 .
Carvalho, Alexandre N., Cunha, Arthur C., Langa, JosΓ© A. and Robinson, James C. (2022) Finite-dimensional negatively invariant subsets of banach spaces. Journal of Mathematical Analysis and Applications, 509 (2). 125945. doi:10.1016/j.jmaa.2021.125945 ISSN 0022-247X.
2021
Robinson, James C. (2021) Using periodic boundary conditions to approximate the Navier-Stokes equations on and the transfer of regularity. Nonlinearity, 34 (11). 7683. doi:10.1088/1361-6544/ac2673 ISSN 0951-7715.
Hajduk, Karol W., Robinson, James C. and Sadowksi, Witold (2021) Robustness of regularity for the 3D Convective Brinkman-Forchheimer equations. Journal of Mathematical Analysis and Applications, 500 (1). 125058. doi:10.1016/j.jmaa.2021.125058 ISSN 0022-247X.
2020
Robinson, James C. and RodrΓguez-Bernal, AnΓbal (2020) The heat flow in an optimal FrΓ©chet space of unbounded initial data in Rd. Journal of Differential Equations, 269 (11). pp. 10277-10321. doi:10.1016/j.jde.2020.07.017 ISSN 0022-0396.
Robinson, James C. (2020) The Navier-Stokes regularity problem. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 378 (2174). 20190526. doi:10.1098/rsta.2019.0526 ISSN 1364-503X.
Chipot, Michel, Droniou, Jerome, Planas, Gabriela, Robinson, James C. and Xue, Wei (2020) Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain. Analysis and Applications, 18 (2). pp. 211-235. doi:10.1142/S0219530519500118 ISSN 0219-5305.
2019
Margaris, Alexandros and Robinson, James C. (2019) Embedding properties of sets with finite box-counting dimension. Nonlinearity, 32 (10). pp. 3523-3547. doi:10.1088/1361-6544/ab1b7f ISSN 0951-7715.
Ozanski, Wojciech and Robinson, James C. (2019) Partial regularity for a surface growth model. SIAM Journal of Mathematical Analysis, 51 (1). pp. 228-255. doi:10.1137/18M1166821 ISSN 0036-1410.
2018
Robinson, James C., Rodrigo, Jose L. and Skipper, Jack (2018) Energy conservation for the Euler equations on T2 x R+ for weak solutions defined without reference to the pressure. Asymptotic Analysis, 110 (3-4). pp. 185-202. doi:10.3233/ASY-181482 ISSN 0921-7134.
Robinson, James C., Rodrigo, Jose L. and Skipper, Jack W.D. (2018) Energy conservation for the Euler equations on T 2 Γ R + for weak solutions defined without reference to the pressure. Asymptotic Analysis, 110 (3-4). pp. 185-202. doi:10.3233/ASY-181482 ISSN 0921-7134.
Robinson, James C. and RodrΓguez-Bernal, AnΓbal (2018) Optimal existence classes and nonlinear-like dynamics in the heat equation in Rd. Advances in Mathematics, 334 . pp. 488-543. doi:10.1016/j.aim.2018.06.009 ISSN 0001-8708.
Hoang, Luan T., Olson, Eric J. and Robinson, James C. (2018) Continuity of pullback and uniform attractors. Journal of Differential Equations, 264 (6). pp. 4067-4093. doi:10.1016/j.jde.2017.12.002 ISSN 0022-0396.
2017
Hajduk, Karol and Robinson, James C. (2017) Energy equality for the 3D critical convective Brinkman-Forchheimer equations. Journal of Differential Equations, 263 (11). pp. 7141-7161. ISSN 0022-0396.
Fraser, Jonathan M., Olson, Eric J. and Robinson, James C. (2017) Some results in support of the Kakeya conjecture. Real Analysis Exchange, 42 (2). pp. 253-268. doi:10.14321/realanalexch.42.2.0253 ISSN 0147-1937.
Laister, Robert, Robinson, James C. and SierΕΌΔga, MikoΕaj (2017) A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations. Journal of Differential Equations, 262 (10). pp. 4979-4987. doi:10.1016/j.jde.2017.01.014 ISSN 0022-0396.
Fefferman, Charles L., McCormick, David S., Robinson, James C. and Rodrigo, Jose L. (2017) Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces. Archive for Rational Mechanics and Analysis, 223 (2). pp. 677-691. doi:10.1007/s00205-016-1042-7 ISSN 0003-9527.
2016
Pooley, Benjamin C. and Robinson, James C. (2016) An EulerianβLagrangian form for the Euler equations in Sobolev spaces. Journal of Mathematical Fluid Mechanics, 18 (4). pp. 783-794. doi:10.1007/s00021-016-0271-8 ISSN 1422-6928.
Laister, R., Robinson, James C., SierΕΌΔga, Mikolaj and Vidal-LΓ³pez, A. (2016) A complete characterisation of local existence for semilinear heat equations in Lebesgue spaces. Annales de l'Institut Henri Poincare (C) Non Linear Analysis , 33 (6). pp. 1519-1538. doi:10.1016/j.anihpc.2015.06.005 ISSN 0294-1449.
McCormick, David S., Olson, Eric J., Robinson, James C., Rodrigo Diez, JosΓ© L., Vidal-LΓ³pez, Alejandro and Zhou, Yi (2016) Lower bounds on blowing-up solutions of the three-dimensional Navier--Stokes equations in $\dot H^{3/2}$, $\dot H^{5/2}$, and $\dot B^{5/2}_{2,1}$. SIAM Journal on Mathematical Analysis, 48 (3). pp. 2119-2132. doi:10.1137/15M1017776 ISSN 0036-1410.
Robinson, James C. and SΓ‘nchez-Gabites, J. J. (2016) On finite-dimensional attractors of homeomorphisms. Bulletin of the London Mathematical Society, 48 (3). pp. 483-498. doi:10.1112/blms/bdw011 ISSN 0024-6093 .
Chemin, Jean-Yves, McCormick, David S., Robinson, James C. and Rodrigo Diez, JosΓ© L. (2016) Local existence for the non-resistive MHD equations in Besov spaces. Advances in Mathematics, 286 . pp. 1-31. doi:10.1016/j.aim.2015.09.004 ISSN 0001-8708.
Pooley, Benjamin C. and Robinson, James C. (2016) Well-posedness for the diffusive 3D Burgers equations with initial data in H^1/2. In: Recent Progress in the Theory of the Euler and NavierβStokes Equations, Vienna, 2013. Published in: Recent Progress in the Theory of the Euler and NavierβStokes Equations (430). pp. 137-153. ISBN 9781107554979.
2015
Fraser, J. M., Henderson, A. M., Olson, E. J. and Robinson, J. C. (2015) On the Assouad dimension of self-similar sets with overlaps. Advances in Mathematics, 273 . pp. 188-214. doi:10.1016/j.aim.2014.12.026 ISSN 0001-8708.
2014
Fefferman, Charles L., McCormick, David S., Robinson, James C. and Rodrigo, Jose L. (2014) Higher order commutator estimates and local existence for the non-resistive MHD equations and related models. Journal of Functional Analysis, Volume 267 (Number 4). pp. 1035-1056. doi:10.1016/j.jfa.2014.03.021 ISSN 0022-1236.
Nieuwenhuis, Michaela A.C., Robinson, James C. and Steinerberger, Stefan (2014) Minimal periods for ordinary differential equations in strictly convex Banach spaces and explicit bounds for some -spaces. Journal of Differential Equations, Volume 256 (Number 8). pp. 2846-2857. doi:10.1016/j.jde.2014.01.019 ISSN 0022-0396.
Robinson, James C. (2014) Log-Lipschitz embeddings of homogeneous sets with sharp logarithmic exponents and slicing products of balls. Proceedings of the American Mathematical Society, Volume 142 (Number 4). pp. 1275-1288. doi:10.1090/S0002-9939-2014-11852-1 ISSN 0002-9939.
Robinson, James C., Real, Jose, MarΓn-Rubio, Pedro and GarcΓa-Luengo, Julia (2014) Pullback attractors for the non-autonomous 2D Navier -- stokes equations for minimally regular forcing. Discrete and Continuous Dynamical Systems, Volume 34 (Number 1). pp. 203-227. doi:10.3934/dcds.2014.34.203 ISSN 1078-0947.
McCormick, David S., Robinson, James C. and Rodrigo, Jose L. (2014) Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation. Archive for Rational Mechanics and Analysis, Volume 214 (Number 2). pp. 503-523. doi:10.1007/s00205-014-0760-y ISSN 0003-9527.
Robinson, James C. and Sadowski, Witold (2014) A local smoothness criterion for solutions of the 3D Navier-Stokes equations. Rendiconti del Seminario Matematico della Universita di Padova, Volume 131 . pp. 159-178. doi:10.4171/RSMUP/131-9 ISSN 0041-8994.
2013
Robinson, James C. and Vidal-LΓ³pez, Alejandro (2013) Minimal periods of semilinear evolution equations with Lipschitz nonlinearity revisited. Journal of Differential Equations, Volume 254 (Number 11). pp. 4279-4289. doi:10.1016/j.jde.2013.03.001 ISSN 0022-0396.
MarΓn-Rubio, Pedro, Robinson, James C. and Sadowski, Witold (2013) Solutions of the 3D Navier-Stokes equations for initial data in αΈ’1/2: Robustness of regularity and numerical verification of regularity for bounded sets of initial data in αΈ’1. Journal of Mathematical Analysis and Applications, Volume 400 (Number 1). pp. 76-85. doi:10.1016/j.jmaa.2012.10.064 ISSN 0022-247X.
Robinson, James C. and Sharples, Nicholas (2013) Dimension prints and the avoidance of sets for flow solutions of non-autonomous ordinary differential equations. Journal of Differential Equations, Volume 254 (Number 10). pp. 4144-4167. doi:10.1016/j.jde.2013.02.012 ISSN 0022-0396.
Laister, Robert, Robinson, James C. and SierΕΌΔga, Mikolaj (2013) Non-existence of local solutions for semilinear heat equations of Osgood type. Journal of Differential Equations, Volume 255 (Number 10). pp. 3020-3028. doi:10.1016/j.jde.2013.07.007 ISSN 0022-0396.
Robinson, James C., Sadowski, Witold and Sharples, Nicholas (2013) On the regularity of lagrangian trajectories corresponding to suitable weak solutions of the NavierβStokes equations. In: IUTAM Symposium on Topological Fluid Dynamics II - Theory and Applications, Cambridge, UK, 23-27 July 2012. Published in: Procedia IUTAM, Volume 7 pp. 161-166. doi:10.1016/j.piutam.2013.03.019 ISSN 2210-9838.
2012
Robinson, James C. and SierΕΌΔga, MikoΕaj (2012) Supersolutions for a class of semilinear heat equations. Revista MatemΓ‘tica Complutense . doi:10.1007/s13163-012-0108-9 ISSN 1139-1138.
Robinson, James C. and SierΕΌΔga, MikoΕaj (2012) A note on well-posedness of semilinear reaction-diffusion problem with singular initial data. Journal of Mathematical Analysis and Applications, Vol.385 (No.1). pp. 105-110. doi:10.1016/j.jmaa.2011.06.023 ISSN 0022247X.
Robinson, James C. and Sadowski, Witold (2012) On the dimension of the singular set of solutions to the NavierβStokes equations. Communications in Mathematical Physics, Vol.309 (No.2). pp. 497-506. doi:10.1007/s00220-011-1336-4 ISSN 0010-3616.
Robinson, James C., Sadowski, Witold and Silva, Ricardo P. (2012) Lower bounds on blow up solutions of the three-dimensional NavierβStokes equations in homogeneous Sobolev spaces. Journal of Mathematical Physics, Vol.53 (No.11). Article no. 115618. doi:10.1063/1.4762841 ISSN 0022-2488.
Carvalho, Alexandre Nolasco de, Langa, JosΓ© A. and Robinson, James C. (2012) Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation. Proceedings of the American Mathematical Society, Vol.140 (No.7). pp. 2357-2373. doi:10.1090/S0002-9939-2011-11071-2 ISSN 0002-9939.
2011
Dashti, Masoumeh and Robinson, James C. (2011) The motion of a fluidβrigid disc system at the zero limit of the rigid disc radius. Archive for Rational Mechanics and Analysis, Volume 200 (Number 1). pp. 285-312. doi:10.1007/s00205-011-0401-7 ISSN 0003-9527.
Robinson, James C. (2011) Dimensions, embeddings, and attractors. Cambridge tracts in mathematics, Vol.186 . Cambridge ; New York: Cambridge University Press. ISBN 9780521898058
Pinto de Moura, Eleonora, Robinson, James C. and SΓ‘nchez-Gabites, J. J. (2011) Embedding of global attractors and their dynamics. Proceedings of the American Mathematical Society, Vol.139 (No.10). pp. 3497-3512. doi:10.1090/S0002-9939-2011-10759-7 ISSN 0002-9939.
Εukaszewicz, Grzegorz, Real, JosΓ© and Robinson, James C. (2011) Invariant measures for dissipative systems and generalised Banach limits. Journal of Dynamics and Differential Equations, Volume 23 (Number 2). pp. 225-250. doi:10.1007/s10884-011-9213-6 ISSN 1040-7294.
2010
Carvalho, Alexandre Nolasco de, Langa, JosΓ© A. and Robinson, James C. (2010) Finite-dimensional global attractors in Banach spaces. Journal of Differential Equations, Vol.249 (No.12). pp. 3099-3109. doi:10.1016/j.jde.2010.09.032 ISSN 0022-0396.
de Moura, E. Pinto and Robinson, James C. (2010) Orthogonal sequences and regularity of embeddings into finite-dimensional spaces. Journal of Mathematical Analysis and Applications, Vol.368 (No.1). pp. 254-262. doi:10.1016/j.jmaa.2010.02.052 ISSN 0022-247X.
de Moura, Eleonora Pinto and Robinson, James C. (2010) Lipschitz deviation and embeddings of global attractors. Nonlinearity, Vol.23 (No.7). pp. 1695-1708. doi:10.1088/0951-7715/23/7/009 ISSN 0951-7715.
Olson, Eric J. and Robinson, James C. (2010) Almost bi-Lipschitz embeddings and almost homogeneous sets. Transactions of the American Mathematical Society, Vol.362 (No.1). pp. 145-168. doi:10.1090/S0002-9947-09-04604-2 ISSN 0002-9947.
2009
Cotter, S. L., Dashti, M., Robinson, James C. and Stuart, A. M. (2009) Bayesian inverse problems for functions and applications to fluid mechanics. Inverse Problems, Vol.25 (No.11). Article no. 115008. doi:10.1088/0266-5611/25/11/115008 ISSN 0266-5611.
Carvalho, Alexandre Nolasco de, Langa, JosΓ© A. and Robinson, James C. (2009) On the continuity of pullback attractors for evolution processes. Nonlinear Analysis: Theory, Methods & Applications, Vol.71 (No.5-6). pp. 1812-1824. doi:10.1016/j.na.2009.01.016 ISSN 0362-546X.
Robinson, James C. and Sadowski, Witold (2009) Almost-everywhere uniqueness of Lagrangian trajectories for suitable weak solutions of the three-dimensional Navier-Stokes equations. Nonlinearity, Vol.22 (No.9). pp. 2093-2099. doi:10.1088/0951-7715/22/9/002 ISSN 0951-7715.
Robinson, James C. and Sadowski, Witold (2009) A criterion for uniqueness of Lagrangian trajectories for weak solutions of the 3D Navier-Stokes equations. Communications in Mathematical Physics, Vol.290 (No.1). pp. 15-22. doi:10.1007/s00220-009-0819-z ISSN 0010-3616.
Robinson, James C. (2009) Linear embeddings of finite-dimensional subsets of Banach spaces into Euclidean spaces. Nonlinearity, Vol.22 (No.4). pp. 711-728. doi:10.1088/0951-7715/22/4/001 ISSN 0951-7715.
Dashti, M. and Robinson, James C. (2009) A simple proof of uniqueness of the particle trajectories for solutions of the Navier-Stokes equations. Nonlinearity, Vol.22 (No.4). pp. 735-746. doi:10.1088/0951-7715/22/4/003 ISSN 0951-7715.
Rodrigo, Jose (2009) Contour dynamics for the surface quasi-geostrophic equation. In: Robinson, James C. (James Cooper), 1969- and Rodrigo, Jose, (eds.) Partial differential equations and fluid mechanics. London Mathematical Society lecture note series (No.364). Cambridge, UK ; New York: Cambridge University Press, pp. 207-227. ISBN 9780521125123
Kerr, Robert M. (Robert McDougall) and Bustamante, M. D. (2009) Exploring symmetry plane conditions in numerical Euler solutions. In: Robinson, James C. (James Cooper), 1969- and Rodrigo, Jose, (eds.) Partial differential equations and fluid mechanics. London Mathematical Society lecture note series, Vol.364 . Cambridge, UK ; New York: Cambridge University Press. ISBN 9780521125123
Carvalho, Alexandre Nolasco de, Langa, JosΓ© A. and Robinson, James C. (2009) Lower semicontinuity of attractors for non-autonomous dynamical systems. Ergodic Theory and Dynamical Systems, Vol.29 . pp. 1765-1780. doi:10.1017/S0143385708000850 ISSN 0143-3857.
Robinson, James C. (James Cooper), 1969- and Rodrigo, Jose, eds. (2009) Partial differential equations and fluid mechanics. London Mathematical Society lecture note series (No.364). Cambridge, UK ; New York: Cambridge University Press. ISBN 9780521125123
Langa, JosΓ© A., Robinson, James C., Rodriguez-Bernal, Anibal and Suarez, Antonio (2009) Permanence and asymptotically stable complete trajectories for nonautonomous Lotka-Volterra models with diffusion. SIAM Journal on Mathematical Analysis, Vol.40 (No.6). pp. 2179-2216. doi:10.1137/080721790 ISSN 0036-1410.
Robinson, James C. and Sadowski, Witold (2009) The regularity problem for the three-dimensional Navier-Stokes equations. In: Robinson, James C. (James Cooper), 1969- and Rodrigo, Jose L., (eds.) Partial differential equations and fluid mechanics. London Mathematical Society lecture note series (No.364). Cambridge, UK ; New York: Cambridge University Press, pp. 185-206. ISBN 9780521125123
Dashti, M. and Robinson, James C. (2009) The uniqueness of Lagrangian trajectories in Navier-Stokes flows. In: Robinson, James C. (James Cooper), 1969- and Rodrigo, Jose L., (eds.) Partial differential equations and fluid mechanics. London Mathematical Society lecture note series (No.364). Cambridge, UK ; New York: Cambridge University Press, pp. 54-63. ISBN 9780521125123
2008
Robinson, James C. (2008) A topological time-delay embedding theorem for infinite-dimensional cocycle dynamical systems. Discrete and Continuous Dynamical Systems. Series B, Vol.9 (No.3-4). pp. 731-741. ISSN 1531-3492.
Robinson, James C. and Sadowski, Witold (2008) Numerical verification of regularity in the three-dimensional Navier-Stokes equations for bounded sets of initial data. Asymptotic Analysis, Volume 59 (Number 1). pp. 39-50. doi:10.3233/ASY-2008-0899 ISSN 0921-7134.
Dashti, Masoumeh and Robinson, James C. (2008) An a posteriori condition on the numerical approximations of the NavierβStokes equations for the existence of a strong solution. SIAM Journal on Numerical Analysis, Vol.46 (No.6). pp. 3136-3150. doi:10.1137/060677537 ISSN 0036-1429.
2007
Robinson, James C., Rodriguez-Bernal, Anibal and Vidal-Lopez, Alejandro (2007) Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems. Journal of Differential Equations, Vol.238 (No.2). pp. 289-337. doi:10.1016/j.jde.2007.03.028 ISSN 0022-0396.
Langa, JosΓ© A., Robinson, James C., Rodriguez-Bernal, A., Suarez, A. and Vidal-Lopez, A. (2007) Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations. Discrete and Continuous Dynamical Systems, Vol.18 (No.2-3). pp. 483-497. doi:10.3934/dcds.2007.18.483 ISSN 1078-0947.
Chernyshenko, Sergei I., Constantin, Peter, Robinson, James C. and Titi, Edriss S. (2007) A posteriori regularity of the three-dimensional Navier-Stokes equations from numerical computations. Journal of Mathematical Physics, Vol.48 (No.6). Article: 065204. doi:10.1063/1.2372512 ISSN 0022-2488.
Carvalho, Alexandre Nolasco de, Langa, JosΓ© A., Robinson, James C. and Suarez, Antonio (2007) Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system. Journal of Differential Equations, Vol.236 (No.2). pp. 570-603. doi:10.1016/j.jde.2007.01.017 ISSN 0022-0396.
Robinson, James C. and Sadowski, Witold (2007) Decay of weak solutions and the singular set of the three-dimensional Navier-Stokes equations. Nonlinearity, Vol.20 (No.5). pp. 1185-1191. doi:10.1088/0951-7715/20/5/007 ISSN 0951-7715.
Robinson, James C. (2007) Parametrization of global attractors experimental observations and turbulence. Journal of Fluid Mechanics, Vol.57 . pp. 495-507. doi:10.1017/S0022112007005137 ISSN 0022-1120.
Langa, JosΓ© A., Robinson, James C., Suarez, Antonio and Vidal-Lopez, Alejandro (2007) The stability of attractors for non-autonomous perturbations of gradient-like systems. Journal of Differential Equations, Vol.234 (No.2). pp. 607-625. doi:10.1016/j.jde.2006.11.016 ISSN 0022-0396.
2006
Caraballo, Tomas, Crauel, Hans, Langa, JosΓ© A. and Robinson, James C. (2006) The effect of noise on the Chafee-Infante equation : a nonlinear case study. Proceedings of the American Mathematical Society, Volume 135 (Number 2). pp. 373-382. ISSN 0002-9939.
This list was generated on Fri Mar 29 12:40:43 2024 GMT.