Professor James Robinson
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James RobinsonProfessor EPSRC Leadership Fellow Office: C2.07 |
Research Interests: Rigorous fluid dynamics and turbulence; infinite-dimensional dynamical systems; random dynamical systems; non-autonomous dynamical systems; embeddings of finite-dimensional sets into Euclidean spaces.
Teaching Responsibilities 2011/12:
Term 1: MA912 (A1) Analysis for Linear PDEs
Please see link on left to EPSRC Leadership Fellowship for other research activities.
Selected papers:
J C Robinson (1995) A concise proof of the "geometric" construction of inertial manifolds. Physics Letters A 200, 415-417.
T Caraballo, J A Langa, & J C Robinson (1998) Upper semicontinuity of attractors for small random perturbations of dynamical systems. Communications in Partial Differential Equations 23, 1557-1571.
J C Robinson (1999) Global attractors: topology and finite-dimensional dynamics. Journal of Dynamics and Differential Equations 11, 557-581.
P K Friz & J C Robinson (2001) Parametrsiing the attractor of the two-dimensional Navier-Stokes equations with a finite set of nodal values. Physica D 148, 201-220.
T Caraballo, J A Langa, & J C Robinson (2001) A stochastic pitchfork bifurcation in a reaction-diffusion equation. Proceedings of the Royal Soceity of London Series A 457, 2041-2061.
J C Robinson (2002) Stability of random attractors under perturbation and approximation. Journal of Differential Equations 186, 652-669.
T Caraballo & J C Robinson (2004) Stabilisation of linear PDEs by Stratonovich noise. Systems and Control Letters 53, 41-50.
I Kukavica & J C Robinson (2004) Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem. Physica D 196, 45-66.
J C Robinson (2005) A topological delay embedding theorem for infinite-dimensional dynamical systems. Nonlinearity 18, 2135-2143.
J A Langa & J C Robinson (2006) Fractal dimension of a random invariant set. Journal de Mathematiquest Pure et Appliques 85, 269 -294.
J A Langa, J C Robinson, & A Suárez (2006) Bifurcations in non-autonomous scalar equations. Journal of Differential Equations 221, 1-35.
T Carballo, H Crauel, J A Langa, & J C Robinson (2007) The effect of noise of the Chafee-Infante equation: a nonlinear case study. Proceedings of the American Mathematical Society 135, 373-382.
J A Langa, J C Robinson, A Suárez, & A Vidal López (2007) The stability of attractors for non-autonomous perturbations of gradient-like systems. Journal of Differential Equations 234, 607-625.
J C Robinson (2007) Parametrization of global attractors, experimental observations, and turbulence. Journal of Fluid Mechanics 578, 495-507.
A Carvalho, J A Langa, J C Robinson, & A Suárez (2007) Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system. Journal of Differential Equations 236, 570-603.
J C Robinson & W Sadowski (2007) Decay of weak solutions and the singular set of the three-dimensional Navier-Stokes equations. Nonlinearity 20, 1185-1191
S I Chernyshenko, P Constantin, J C Robinson, & E S Titi (2007) A posteriori regularity of the three-dimensional Navier-Stokes equations from numerical computations. Journal of Mathematics Physics 48, 065204: 1-15.
J C Robinson (2009) Linear embeddings of finite-dimensional subsets of Banach spaces into Euclidean spaces. Nonlinearity 22, 753-746.
M Dashti & J C Robinson (2009) A simple proof of uniqueness of the particle trajectories for solutions of the Navier-Stokes equations. Nonlinearity 22, 735-746.
J C Robinson & W Sadowski (2009) Almost-everywhere uniqueness of Lagrangian trajectories for suitable weak solutions of the three-dimensional Navier-Stokes equations. Nonlinearity 22, 2093-2099.
E J Olson & J C Robinson (due January 2010) Almost Lipschitz embeddings of almost homogeneous subsets of Hilbert space. Transactions of the American Mathematical Society.
Books & conference proceeedings:
J C Robinson & P A Glendinning (2001) From finite to infinite dimensional dynamical systems, proceedings of the NATO ASI workshop at the Isaac Newton Institute, August 1995. Kluwer Academic.
J C Robinson (2001) Infinite-dimensional dynamical systems. Cambridge University Press.
J C Robinson (2004) An introduction to ordinary differential equations. Cambridge University Press.
J C Robinson & J L Rodrigo (2009) Partial Differential Equations and Fluid Mechanics, proceedings of a meeting at Warwick, May 2007. Cambridge University Press.
Research grants:
EPSRC Leadership Fellowship EP/G007470/1 : The Navier-Stokes equations: functional analysis and dynamical systems (01/10/2008 - 30/9/2013)
Royal Society University Research Fellowship: Practical implications from the theory of global attractors (01/10/1999 - 30/9/2007)
Royal Society Joint Project (with Seville): Bifuration theory for non- autonomous differential equations (01/07/2002 - 30/06/2004)
For more information and further publications see James Robinson's homepage or his Expertise Profile
