Publications
171 results found
Gibbon JD, Doering CR, 2000, Scale separation and regularity of the Navier-Stokes equations, Cambridge, Intermittency in Turbulent Flows and other Dynamical Systems, Publisher: Cambridge University Press
Gibbon JD, 1999, Vorticity alignment results for the 3D Euler and Navier-Stokes equations, Fundamental Problematic Issues in Turbulence, Pages: 25-32
Gibbon JD, Fokas AS, Doering CR, 1999, Dynamically stretched vortices as solutions of the 3D Navier-Stokes equations, Physica D- Nonlinear Phenomena, Vol: 132, Pages: 497-510, ISSN: 0167-2789
Gibbon JD, 1999, Vorticity alignment results for the 3D Euler and Navier-Stokes equations, 2nd Monte Verita Colloquium on Fundamental Problematic Issues in Turbulence, Publisher: BIRKHAUSER VERLAG AG, Pages: 25-32
Doering CR, Gibbon JD, 1998, On the shape and dimension of the Lorenz attractor (vol 10, pg 255, 1995), DYNAMICS AND STABILITY OF SYSTEMS, Vol: 13, Pages: 299-301, ISSN: 0268-1110
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- Citations: 4
Gibbon JD, 1998, Extending Lundgren's transformation to construct stretched vortex solutions of the 3D Navier-Stokes and Euler equations, Developments in Geophysical Turbulence
Gibbon JD, Heritage M, 1997, Angular dependence and growth of vorticity in the three-dimensional Euler equations, PHYSICS OF FLUIDS, Vol: 9, Pages: 901-909, ISSN: 1070-6631
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- Citations: 8
Gibbon JD, Gibbons J, Heritage M, 1997, A logarithmic 3d Euler inequality, PHYSICS OF FLUIDS, Vol: 9, Pages: 471-472, ISSN: 1070-6631
Gibbon JD, Titi ES, 1997, Attractor dimension and small length scale estimates for the three-dimensional Navier-Stokes equations, NONLINEARITY, Vol: 10, Pages: 109-119, ISSN: 0951-7715
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- Citations: 20
Gibbon JD, 1997, Dimensions of attractors and small length scales in solutions of the two- and threedimensional: Navier-Stokes equations, Advances in Fluid Mechanics "Nonlinear Instability Analysis", Editors: Debnath, Choudhury, Publisher: Computational Mechanics, Pages: 1-42
Galanti B, Gibbon JD, Heritage M, 1997, Vorticity alignment results for the three-dimensional Euler and Navier-Stokes equations, Nonlinearity, Vol: 10, Pages: 1675-1694, ISSN: 0951-7715
Bartuccelli MV, Gibbon JD, Oliver M, 1996, Length scales in solutions of the complex Ginzburg-Landau equation, PHYSICA D, Vol: 89, Pages: 267-286, ISSN: 0167-2789
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- Citations: 30
Gibbon JD, 1996, A voyage around the Navier-Stokes equations, Physica D-Nonlinear Phenomena, Vol: 92, Pages: 133-139, ISSN: 0167-2789
Gibbon JD, 1996, Analysis of the 2d and 3d Navier-Stokes equations": in Nonlinear Mathematics and its applications, EPSRC Nonlinear Mathematics Spring School, Surrey, 1995, Pages: 121-146
GIBBON JD, 1995, A CONJECTURE REGARDING LOCAL BEHAVIOR OF VORTICITY IN THE 3D INCOMPRESSIBLE NAVIER-STOKES EQUATIONS, PHYSICS LETTERS A, Vol: 203, Pages: 181-188, ISSN: 0375-9601
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- Citations: 1
GIBBON JD, 1995, LENGTH SCALES AND LADDER THEOREMS FOR 2D AND 3D CONVECTION, NONLINEARITY, Vol: 8, Pages: 81-92, ISSN: 0951-7715
Doering CR, Gibbon JD, 1995, On the shape and dimension of the Lorenz attractor, DYNAMICS AND STABILITY OF SYSTEMS, Vol: 10, Pages: 255-268, ISSN: 0268-1110
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- Citations: 35
Gibbon JD, 1995, Applied Analysis of the Navier-Stokes equations, Publisher: Cambridge University Press
DOERING CR, GIBBON JD, LEVERMORE CD, 1994, WEAK AND STRONG SOLUTIONS OF THE COMPLEX GINZBURG-LANDAU EQUATION, PHYSICA D, Vol: 71, Pages: 285-318, ISSN: 0167-2789
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- Citations: 139
GIBBON JD, 1994, DERIVATION OF 3D NAVIER-STOKES LENGTH SCALES FROM A RESULT OF FOIAS, GUILLOPE AND TEMAM, NONLINEARITY, Vol: 7, Pages: 245-252, ISSN: 0951-7715
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- Citations: 4
BARTUCCELLI MV, DOERING CR, GIBBON JD, et al., 1993, LENGTH SCALES IN SOLUTIONS OF THE NAVIER-STOKES EQUATIONS, NONLINEARITY, Vol: 6, Pages: 549-568, ISSN: 0951-7715
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- Citations: 30
BARTUCCELLI MV, GIBBON JD, MALHAM SJA, 1993, LATTICE METHODS AND THE PRESSURE FIELD FOR SOLUTIONS OF THE NAVIER-STOKES EQUATIONS, NONLINEARITY, Vol: 6, Pages: 79-91, ISSN: 0951-7715
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- Citations: 1
Bartuccelli MV, Doering CD, Gibbon JD, et al., 1993, Length scales in solutions of dissipative partial-differential equations, Future Directions of Nonlinear Dynamics in Physical and Biological Systems, Vol: 312, Pages: 97-100, ISSN: 0258-1221
BARTUCCELLI MV, DOERING CD, GIBBON JD, et al., 1993, LENGTH SCALES IN SOLUTIONS OF DISSIPATIVE PARTIAL-DIFFERENTIAL EQUATIONS, NATO Advanced Study Institute on Future Directions of Nonlinear Dynamics in Physical and Biological Systems, in honor of Alwyn Scotts 60th Birthday, Publisher: PLENUM PRESS DIV PLENUM PUBLISHING CORP, Pages: 97-100, ISSN: 0258-1221
BARTUCCELLI M, DOERING C, GIBBON JD, 1991, LADDER THEOREMS FOR THE 2D AND 3D NAVIER-STOKES EQUATIONS ON A FINITE PERIODIC DOMAIN, NONLINEARITY, Vol: 4, Pages: 531-542, ISSN: 0951-7715
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- Citations: 10
KNOBLOCH E, GIBBON JD, 1991, COUPLED NLS EQUATIONS FOR COUNTER PROPAGATING WAVES IN SYSTEMS WITH REFLECTION SYMMETRY, PHYSICS LETTERS A, Vol: 154, Pages: 353-356, ISSN: 0375-9601
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- Citations: 18
DOERING CR, GIBBON JD, 1991, NOTE ON THE CONSTANTIN-FOIAS-TEMAM ATTRACTOR DIMENSION ESTIMATE FOR 2-DIMENSIONAL TURBULENCE, PHYSICA D, Vol: 48, Pages: 471-480, ISSN: 0167-2789
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- Citations: 20
GIBBON JD, 1991, WEAK AND STRONG TURBULENCE IN A CLASS OF COMPLEX GINZBURG LANDAU EQUATIONS, NATO ADVANCED RESEARCH WORKSHOP ON THE GLOBAL GEOMETRY OF TURBULENCE, Publisher: PLENUM PRESS DIV PLENUM PUBLISHING CORP, Pages: 309-317
BARTUCCELLI M, CONSTANTIN P, DOERING CR, et al., 1990, ON THE POSSIBILITY OF SOFT AND HARD TURBULENCE IN THE COMPLEX GINZBURG-LANDAU EQUATION, PHYSICA D, Vol: 44, Pages: 421-444, ISSN: 0167-2789
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- Citations: 125
Gibbon JD, Doering CR, Holm DD, 1990, Finite dimensionality in the complex Ginzburg Landau equation, Nonlinear evolution equations: integrability and spectral methods, Editors: Degasperis, Fordy, Lakshmanan, Degasperis, Fordy, Lakshmanan, Publisher: Manchester University Press, Pages: 462-476
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