# Prof Keke Zhang

## Professor

Telephone: **01392 725226**

Extension: **(Streatham) 5226**

**Research Interests**

Theories of convection and waves in rotating systems; Generation and dynamics of planetary and stellar magnetic fields;Hydrodynamic and magnetohydrodynamic instabilities in rapidly rotating systems; Shape, gravity and internal structure of rotating planets; Large-scale numerical simulations for planetary and astrophysical systems.

**Bio**

Professor Keke Zhang obtained his B.Sc. in 1982 from University of Nanjing, China. He then obtained his M.Sc. in 1985 and his Ph.D in 1987, under the supervision of Professor F. H. Busse, from University of California, Los Angeles, USA. His main areas of expertise are the theories of convection, waves and magnetohydrodynamic instabilities in rotating systems, planetary and solar dynamos and large-scale numerical simulations for planetary and astrophysical systems. His active research has led to many scientific publications in refereed journals, as well as to a Cambridge University Monograph on Applied Mathematics and Mechanics, [Theory and Modelling of Rotating Fluids, Zhang and Liao, published by Cambridge University Press in 2017. He is Fellow of American Geophysical Union, Fellow of Royal Astronomical Socienty and Director of Center for Geophysical and Astrophysical Fluid Dynamics at Exeter and has served as an Editor_in_Chief for Journal of Physics of the Earth and Planetary Interiors (Impact factor 2.5) 2004--2014.

Professor Keke Zhang is the author of over 180 publications in peer-reviewed scientific journals including Nature, Science, Physical Review Letter, Journal of Fluid Mechanics, Physics of Fluid, Journal of Geophysical Research, Astrophysical Journal, SIAM Journal on Numerical Analysis and Journal of Mathematical Physics. Below is a list of his selected publications:

**Selected Publications**

**Zhang, K., **K., Chan and X. Liao (2014) On precessing flow in an oblate spheroid of arbitrary eccentricity. Journal of Fluid Mechanics 743, 358--384

**Zhang, K**., Chan, K., X. Liao, and J. M. Aurnou (2013) The non-resonant response of fluid in a rapidly rotating sphere undergoing longitudinal libration. J. Fluid Mechanics, 720, 212--235.

**Zhang, K**., Chan, K. and X. Liao (2012) Asymptotic theory of resonant flow

in a spheroidal cavity driven by latitudinal libration. J. Fluid Mechanics 692, 420--445.

Liao, X. and **Zhang, K**. , (2012) On flow in weakly precessing cylinders:

the general asymptotic solution. Journal of Fluid Mechanics, 709, 610--621.

Kong, D., **Zhang, K**., , Schubert, G. (2012) On the variation of zonal gravity

coefficients of a giant planet caused by its deep zonal flows. Astrophy. J. 748, 143

**Zhang, K., **Chan, K. and X. Liao (2011) On fluid motion in librating ellipsoids

with moderate equatorial eccentricity. J. Fluid Mechanics, 673, 468--479

Zhan, X., **Zhang, K**. and R. Zhu (2011) A full-sphere convection-driven

dynamo: implications for the ancient geomagnetic field. Phys. Earth Planet. Inter. 187:328--335.

Kong, D. **Zhang, K**. and G. Schubert (2010) Shapes of two-layer models of

rotating planets. Geophy. Research. 115, E12003

**Zhang, K., **Chan, K. and Liao X. (2010) On fluid flows in precessing spheres

in the mantle frame of reference. Physics of Fluid. 22, 116604

**Zhang, K**., D. Kong and X. Liao (2010) On fluid flows in precessing narrow annular channels:

asymptotic analysis and numerical simulation. J. Fluid Mech. 656, 116--146.

Liao X. and ** Zhang, K**. (2010) A new Legendre-type polynomial and its

application to geostrophic flow in rotating fluid spheres. Proc R. Soc. Lond.466: 2203--2217.

**Zhang, K**. and Liao, X. (2009) The onset of convection in rotating circular

cylinders with experimental boundary conditions. J. Fluid Mech. 622, 63-73.

Liao X. and **Zhang, K**., and (2009) A new integral property of inertial waves in

rotating fluid spheres. Proc R. Soc. Lond. 465: 1075-1091.

Dai, Z., **Zhang, K**., Liao, X. and Schubert, G. (2008) Hydrothermal convection in moderately thin spherical shells. Physical Rev. Lett. 101, 028501.

**Zhang, K**. and Liao, X. (2008) On the initial value problem in a rotating

circular cylinder. Journal of Fluid Mechanics. 610, 425--443.

**Zhang, K**., Liao, X., Zhan, X. and Zhu, R. (2007) Nonlinear convection in

rotating systems: Slip-stick travelling waves. Phys. Review E 75, 055302.

**Zhang, K**., Liao, X. and Busse, F.H. (2007) Asymptotic solutions of convection

in rapidly rotating non-slip spheres. J. Fluid Mech. 578, 371-380.

**Zhang, K**., Liao, X. and Busse, F.H. (2007) Asymptotic theory of inertial convection

in a rotating cylinder. J. Fluid Mech. 575, 449-471.

**Zhang, K**., Liao, X. and Schubert G. (2005) Pore water convection within carbonaceous chondrite parent bodies: Temperature-dependent viscosity and flow structure. Physics of Fluids, 17, 086602.

**Zhang, K**., Liao, X. and Earnshaw, P. (2004) On inertial waves and oscillations

in a rapidly rotating fluid spheroid. J. Fluid Mech. 504:1-40.

**Zhang, K**., Weeks, M. and Roberts, P.H. (2004) Effect of electrically conducting walls on rotating magnetoconvection. Physics of Fluid, 16, 2023-2032.

**Zhang, K**. and Liao, X. (2004) A new asymptotic method for the analysis of

convection in a rapidly rotating sphere. J. Fluid Mech. 518, 319-346.

**Zhang, K**., Liao X., and Schubert G. (2004) A sandwich interface dynamo:

linear dynamo waves in the Sun. Astrophys. J. 602, 468-480.

**Zhang, K., **Liao, X. and Earnshaw, P. (2004) The Poincare equation: A new

polynomial and its unusual properties. J. Mathematical Physics. 45:4777-4790.

**Zhang, K., **Liao, X. and Schubert, G.(2003) Non-axisymmetric instabilities

of a toroidal magnetic field. Astrophys J. 36, 1124-1137.

**Zhang, K**., Chan, K. H., Zou, J., Liao, X., and Schubert G. (2003)

A three-dimensional spherical nonlinear interface dynamo. Astrophys. J. 596, 663-679.

**Zhang, K**. and Schubert, G. (2002) From penetrative convection to

teleconvection. Astrophys. J. 572, 461-276.

**Zhang, K., **Earnshaw, P., Liao, X., Busse, F.H. (2001) On inertial waves in a

rotating fluid sphere. J. Fluid Mech. 437, 103-119.

**Zhang, K**. and Gubbins, D. (2000) Scale disparities and

magnetohydrodynamics in the Earth's core. Phil. Trans. R. Soc. Lond. A 358, 899-920.

**Zhang, K.** and D. Gubbins, D. (2000) Is the geodynamo process intrinsically unstable?

Geophysical Journal International, 140:F1-F4.

**Zhang, K**. and Schubert, G. (2000) Magnetohydrodynamics in rapidly rotating

spherical systems. Ann. Review Fluid Mech. 32:411-445.

**Zhang, K. ** (1999) Nonlinear magnetohydrodynamic convective flows in the

Earth's fluid core. Phys. Earth Planet. Inter. 111:93-105.

**Zhang, K. **and Jones, C. A. (1997) The effect of hyperviscosity on geodynamo

models. Geophysical Research Letters. 24, 2869-2872.

**Zhang , K.** and Roberts, P. H. (1997) Thermal inertial waves in a rotating fluid

layer: exact and asymptotic Solutions. Physics of Fluid. 9, 1980-1987.

**Zhang, K.** and Schubert, G. (1997) On linear penetrative spherical rotating

convection. Journal of Atmospheric Sciences. 54(21), 2509-2518.

**Zhang, K.** and Jones, C.A. (1996) On small Roberts number

magnetoconvection in rapidly rotating systems. Proc R. Soc. Lond. 452, 981-995.

Zhan**g, K**. and Gubbins, D. (1996) Convection in a rotating spherical

fluid shell with inhomogeneous temperature boundary conditions. Physics of Fluid. 8, 1141-1148.

**Zhang, K**. and Schubert, G. (1996) Penetrative convection and zonal flow on

Jupiter. Science, 273, 941-943.

**Zhang, K**. (1995) On coupling between the Poincar\'{e} equation and the heat

equation: non-slip boundary condition. J. Fluid Mech. 284, 239-256.

**Zhang, K**. (1995) Spherical shell rotating convection in the presence of

toroidal magnetic field. Proc R. Soc. Lond. 448, 245-268.

**Zhang, K**. and Busse, F. H. (1995) On hydromagnetic instabilities

driven by the Hartmann boundary layer in a rapidly rotating sphere. J. Fluid Mech. 304, 363-283.

**Zhang, K**. and Schubert, G. (1995) Spatial symmetry breaking in rapidly

rotating convective spherical shells. Geophysical Research Letters. 22, 1265-1268.

**Zhang, K.** (1994) On coupling between the Poincar\'{e} equation and the heat

equation. J. Fluid Mech. 268, 211-229.

**Zhang, K**. and Jones, C. A. (1994) Convective motions in the Earth's fluid core.

Geophysical Research Letters. 21, 1939-1942.

**Zhang, K.** and Gubbins, D. (1993) Convection in a rotating spherical

fluid shell with inhomogeneous temperature boundary conditions at infinite Prandtl number. J. Fluid Mech., 250, 209-232.

**Zhang, K.** (1993) On equatorially trapped boundary inertial waves.

J. Fluid Mech. 248, 203-217.

**Zhang, K.** and Gubbins, D. (1993) Nonlinear aspects of core-mantle

interaction. Geophysical Research Letters. 20, 2969-2972.

**Zhang, K**. and Fearn, D. (1993) How strong is the invisible component of the

magnetic field in the Earth's core? Geophysical Research Letters. 20, 2083-2088.

**Zhang, K.** (1992) Spiralling columnar convection in rapidly rotating spherical

fluid shells. J. Fluid Mech. 236, 535-556.

**Zhang, K**. (1991) Parameterized rotating convection for core and planetary

atmosphere dynamics. Geophysical Research Letters. 18, 685-689.

**Zhang, K**. (1991) Vacillatory convection in a rotating spherical fluid shell at

infinite Prandtl number. J. Fluid Mech. 228, 607-628.

**Zhang, K**. and Busse, F. (1989) Convection driven magnetohydrodynamic

dynamos in rotating spherical shells. Geophys. and Astrophys. Fluid Dyn. 49, 97-116.

**Zhang, K**. and Busse, F. (1987) On the onset of convection in rotating

spherical shells. Geophys. and Astrophys. Fluid Dyn. 39, 119-147.