# Prof Keke Zhang

## Publications

### To Appear

• Zhang K. Rotating spherical convection with applications to planetary systems, Flow and Creep in the Solar System: Observations, Modeling and Theory, Kluwer Academic Publishers, 83-96.

### 2008

• Chan KH, Liao X, Zhang K. (2008) A three-dimensional multilayered spherical dynamic interface dynamo using the Malkus-Proctor formulation, ASTROPHYSICAL JOURNAL, volume 682, no. 2, pages 1392-1403, DOI:10.1086/588748. [PDF]
• Liao X, Zhang K. (2008) The mathematical problem of inertial waves in rapidly rotating planets and stars, International Press and the American Mathematical Society, 831-860.
• Chan K, Zhang K, Li L, Liao X. (2008) On the effect of an electrically heterogeneous lower mantle on planetary dynamos, Physics of the Earth and Planetary Interiors, volume 169, pages 204-210.
• Li L, Liao X, Zhang K. (2008) Countertraveling waves in rotating Rayleigh-Bénard convection, Physical Review E, volume 77, no. 2, article no. 027301. [PDF]
• Liao X, Zhang K. (2008) On viscous decay factors for spherical inertial modes in rotating planetary fluid cores: Comparison between asymptotic and numerical analysis, Physics of the Earth and Planetary Interiors, volume 169, pages 211-219.
• Roberts P, Schubert G, Zhang K, Liao X, Busse FH. (2008) Instabilities in a fluid layer with phase changes (vol 165, pg 147, 2007), PHYSICS OF THE EARTH AND PLANETARY INTERIORS, volume 170, no. 1-2, pages 147-148, DOI:10.1016/j.pepi.2008.07.013. [PDF]
• Li L, Liao L, Chan K, Zhang K. (2008) Linear and nonlinear instabilities in rotating cylindrical Rayleigh-Bénard convection, Physical Review E, volume 78, no. 5, article no. 056303. [PDF]
• Dai Z, Zhang K, Liao X, Schubert G. (2008) Hydrothermal convection in moderately thin spherical shells, Phy. Rev. Lett, volume 101, pages 28501-28501. [PDF]
• Dai Z, Zhang K, G.Schubert XL. (2008) Simulations of nonlinear pore-water convection in spherical shells, Phys. of Fluids, volume 20, pages 26601-26601. [PDF]
• Zhang K, Liao X. (2008) On the initial-value problem in a rotating circular cylinder, JOURNAL OF FLUID MECHANICS, volume 610, pages 425-443, DOI:10.1017/S0022112008002711. [PDF]
• Chan K, Liao X, Zhang K. (2008) Multilayered solar interface dynamos: from a Cartesian kinematic dynamo to a spherical dynamic dynamo, Waves & Oscillations in the Solar Atmosphere: Heating and Magneto-Seismology, Proceedings of the International Astronomical Union, volume 247, pages 22-32, DOI:10.1017/S1743921308014610.

### 2007

• Zhu R, Zhang K, Pan Y. (2007) Paleomagnetism and the Earth's deep interior: Unsolved problems and future challenges, Episodes, volume 30, no. 3.
• Liao X, Feng T, Zhang K. (2007) On the Saturation and Temporal Variation of Mean Zonal Flows: An Implication for Equatorial Jets on Giant Planets, Astrophysical Journal, volume 666, no. 1, pages L41-L44.
• Feng T, Liao X, Zhang K. (2007) A quasi-geostrophic convection model for planetary systems using a domain decomposition method, Physics of the Earth and Planetary Interiors, Volume, volume 163, pages 266-282.
• Zhang K. (2007) Equilibration of generated magnetic field: weak and strong field dynamo, Encyclopedia of Geomagnetism and Paleomagnetism, Springer.
• Zhang K. (2007) Asymptotic theory of inertial convection in a rotating cylinder, Journal of Fluid Mechanics, volume 575, pages 449-471, DOI:10.1017/S0022112006004290.
• Roberts PH, Schubert G, Zhang K, Liao X, Busse FH. (2007) Instabilities in a fluid layer with phase changes, Physics of the Earth and Planetary Interiorsrn, volume 165, pages 147-157.
• Zhang K, Liao X, Zhan X, Zhu R. (2007) Nonlinear convection in rotating systems: Slip-stick three-dimensional traveling waves, Physical Review E, volume 75, no. 5, article no. 055302.
• Liao X, Zhang K, Chang Y. (2007) Nonlinear torsional oscillations in rotating systems, Phys. Rev. Lett, volume 98:094501, pages 1-4.
• Zhang K. (2007) Earth's core convection, Encyclopedia of Geomagnetism and Paleomagnetism, Springer.
• Zhang K, Liao X, Busse F H. (2007) Asymptotic solutions of convection in rapidly rotating non-slip spheres, Journal of Fluid Mechanics, volume 578, pages 371-380.
• Chan K, Zhang K, Li L, Liao X. (2007) A new generation of convection-driven spherical dynamos using EBE finite element method, Physics of the Earth and Planetary Interiors, volume 163, pages 251-265.
• Gibbons SJ, Gubbins D, Zhang K. (2007) Convection in rotating spherical fluid shells with inhomogeneous heat flux at the outer boundary, GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, volume 101, no. 5-6, pages 347-370, DOI:10.1080/03091920701472550. [PDF]
• Zhang K. (2007) Magnetoconvection, Encyclopedia of Geomagnetism and Paleomagnetism, Springer.

### 2006

• Liao X, Zhang K. (2006) On the Convective Excitation of Torsional Oscillations in Rotating Systems, Astrophysical Journal, volume 638, no. 2, pages L113-L116.
• Zhang P, Gilbert AD, Zhang K. (2006) Nonlinear dynamo action in rotating convection and shear, J. Fluid Mech, volume 546, pages 25-49. [PDF]
• Zhang K, Chan K, Zou J. (2006) Spherical interface dynamos: mathematical theory, finite element approximation and application, SIAM Journal on Numerical Analysis, volume 44, no. 5, pages 1877-1902, DOI:10.1137/050635596.
• Zhang P, Gilbert AD, Zhang K. (2006) Nonlinear dynamo action in rotating convection and shear, J. Fluid Mech, volume 546, pages 25-49.
• Zhang K, Schubert G. (2006) Comparison of terrestrial and solar dynamos, REPORTS ON PROGRESS IN PHYSICS, volume 69, no. 5, pages 1581-1605, DOI:10.1088/0034-4885/69/5/R02. [PDF]
• Zhang K, Liao X, Zhan X, Zhu R. (2006) Convective instabilities in a rotating vertical Hele-Shaw cell, Physics of Fluids, volume 18, no. 12, article no. 124102.
• Chang Y, Liao X, Zhang K. (2006) Convection in rotating annular channels heated from below. Part 2. Transitions from steady flow to turbulence, Geophysical and Astrophysical Fluid Dynamics, volume 100, no. 3, pages 215-241.
• Liao X, Zhang K, Chang Y. (2006) On boundary-layer convection in a rotating fluid layer, J. Fluid Mech, volume 549, pages 375-384.

### 2005

• Liao X, Zhang K, Chang Y. (2005) Convection in rotating annular channels heated from below. Part 1. Linear stability and weakly nonlinear mean flows, Geophysical and Astrophysical Fluid Dynamics, volume 99, no. 6, pages 445-465.
• Liao X, Zhang K, Gubbins D. (2005) A multi-layered kinematic dynamo model: implications of a stratified upper layer in the Earth's core, Geophys. Astrophys. Fluid Dyn, volume 99, pages 377-395.
• Li L, Zhang P, Liao X, Zhang K. (2005) Multiplicity of nonlinear thermal convection in a spherical shell, Phys Rev E Stat Nonlin Soft Matter Phys, volume 71, no. 1 Pt 2, DOI:10.1103/PhysRevE.71.016301. [PDF]
• Busse FH, Zhang K, Liao X. (2005) On slow inertial waves in the solar convection zone, Astrophys. J, volume 631.
• Zhang K, Liao XH, Schubert G. (2005) Pore water convection within carbonaceous chondrite parent bodies: Temperature-dependent viscosity and flow structure, PHYSICS OF FLUIDS, volume 17, no. 8, article no. ARTN 086602, DOI:10.1063/1.2012047. [PDF]
• Liao X, Zhang K, Feng T. (2005) On Convective Instabilities and Differential Rotation in Rapidly Rotating Stars: A New Quasi-geostrophic Approximation, Astrophysical Journal, volume 631, no. 1, pages 518-528.

### 2004

• Zhang K, Earnshaw P, Liao X. (2004) On inertial waves and oscillations in a rapidly rotating fluid spheroid, Journal of Fluid Mechanics, volume 504, pages 1-40, DOI:10.1017/S0022112003007456.
• Zhang K, Liao X, Earnshaw P. (2004) The Poincaré equation: A new polynomial and its unusual properties, Journal of Mathematical Physics, volume 45, no. 12, pages 4777-4790.
• Chan KH, Liao X, Zhang K, Jones CA. (2004) Non-axisymmetric spherical interface dynamos, Astronomy and Astrophysics, volume 423.
• Zhang K, Liao X, Schubert G. (2004) A sandwich interface dynamo: Linear dynamo waves in the Sun, ASTROPHYSICAL JOURNAL, volume 602, no. 1, pages 468-480, DOI:10.1086/380834. [PDF]
• Zhang P, Zhang K. (2004) Vacillating flows between two differentially rotating spheres, Far East Journal of Applied Mathematics, volume 14, no. 1, pages 1-24.
• Zhang K, Chen DH, Jones C. (2004) An incompressible stratified fluid model of Comet Shoemaker-Levy 9's collision with Jupiter, CHINESE ASTRONOMY AND ASTROPHYSICS, volume 28, no. 4, pages 412-421, DOI:10.1016/j.chinastron.2004.09.005. [PDF]
• Schubert G, Chan K, Liao X, Zhang K. (2004) Planetary dynamos: effects of electrically conducting flows overlying turbulent regions of magnetic field generation, Icarus, volume 172, no. 2, pages 305-315.
• Weeks M, Zhang K, Roberts P H. (2004) Effect of electrically conducting walls on rotating magnetoconvection, Physics of Fluids, volume 16, no. 6, pages 2023-2032.
• Zhang K, Liao X. (2004) A new asymptotic method for the analysis of convection in a rapidly rotating sphere, Journal of Fluid Mechanics, volume 518, pages 319-346, DOI:10.1017/S0022112004001120.

### 2003

• Young E, Zhang K, Schubert G. (2003) Conditions for pore water convection within carbonaceous chondrite parent bodies - implications for planetesimal size and heat production, Earth and Planetary Science Letters, volume 213, no. 3-4, pages 249-259.
• Zhang KK, Liao XH. (2003) The kinematic theory of solar dynamo, CHINESE JOURNAL OF ASTRONOMY AND ASTROPHYSICS, volume 3, no. 1, pages 12-+, DOI:10.1088/1009-9271/3/1/12. [PDF]
• Zhang K, Liao X, Schubert G. (2003) Nonaxisymmetric Instabilities of a Toroidal Magnetic Field in a Rotating Sphere, Astrophysical Journal, volume 585, no. 2, pages 1124-1137.
• Jones CA, Soward AM, Zhang K. (2003) Edited Earth's Core and Lower Mantle.
• Zhang K, Liao X, Li L. (2003) Differential Rotation Driven by Precession, Celestial Mechanics and Dynamical Astronomy, volume 87, no. 1, pages 39-51.
• Zhang K, Chan KH, Zou J, Liao X, Schubert G. (2003) A three-dimensional spherical nonlinear interface dynamo, ASTROPHYSICAL JOURNAL, volume 596, no. 1, pages 663-679, DOI:10.1086/377600. [PDF]

### 2002

• Zhang KK, Schubert G. (2002) From penetrative convection to teleconvection, ASTROPHYSICAL JOURNAL, volume 572, no. 1, pages 461-476, DOI:10.1086/340288. [PDF]
• Liao X, Zhang K, Earnshaw P. (2002) On the viscous damping of inertial oscillation in planetary fluid interiors, Phys Earth Planet Inter, volume 128, pages 125-136.
• Liao X, Zhang K. (2002) On multiple jet flows in Jupiter's atmosphere, Acta Astronomica sinicaVOL:43, pages 225-235.
• Zhang P, Liao X, Zhang K. (2002) Patterns in spherical Rayleigh-Bénard convection: a giant spiral roll and its dislocations, Phys Rev E Stat Nonlin Soft Matter Phys, volume 66, no. 5 Pt 2, DOI:10.1103/PhysRevE.66.055203. [PDF]
• Weeks M, Zhang K. (2002) Thermal Generation of Alfvén Waves in Oscillatory Magnetoconvection: Diffusively Modified Modes, Geophysical and Astrophysical Fluid Dynamics, volume 96, no. 5, pages 405-424.
• Wicht J, Jones C A, Zhang K. (2002) Instability of Zonal Flows in Rotating Spherical Shells: An Application to Jupiter, Icarus, volume 155, no. 2, pages 425-435.
• Chen X, Zhang K. (2002) Nonlinear convection in a rotating annulus with a finite gap, Geophys and Astrophys Fluid Dyn, volume 96, pages 499-518.
• Zhang K, Gubbins D. (2002) Convection-driven hydromagnetic waves in planetary fluid cores, MATHEMATICAL AND COMPUTER MODELLING, volume 36, no. 3, pages 389-401, article no. PII S0895-7177(02)00133-4, DOI:10.1016/S0895-7177(02)00133-4. [PDF]

### 2001

• Christensen UR, Aubert J, Cardin P, Dormy E, Gibbons S, Glatzmaier GA, Grote E, Honkura Y, Jones C, Kono M. (2001) A numerical dynamo benchmark, PHYSICS OF THE EARTH AND PLANETARY INTERIORS, volume 128, no. 1-4, pages 25-34, DOI:10.1016/S0031-9201(01)00275-8. [PDF]
• Jones CA, Soward AM, Zhang K. (2001) Dynamics and magnetic fields of the Earth and planetary interiors - Preface, PHYSICS OF THE EARTH AND PLANETARY INTERIORS, volume 128, no. 1-4, pages 1-1, DOI:10.1016/S0031-9201(01)00272-2. [PDF]
• Chan KH, Zhang K, Zou J, Schubert G. (2001) "A nonlinear, 3-D spherical $\alpha^2$ dynamo using a finite element method.", Phys. Earth Planet. Inter, volume 128, pages 35-50.
• Zhang K, Earnshaw P, Liao X, Busse F H. (2001) On inertial waves in a rotating fluid sphere, Journal of Fluid Mechanics, volume 437, no. 2, pages 103-119.
• Chan KH, Zhang K, Zou J, Schubert G. (2001) A nonlinear vacillating dynamo induced by an electrically heterogeneous mantle, Geophy. Res. Lett, volume 28, pages 4411-4414.
• Schubert G, Zhang K. (2001) Effects of an electrically conducting inner core on planetary and stellar dynamos, Astrophys. J, volume 557, pages 930-942.

### 2000

• Schubert G, Zhang K. (2000) Spherical oscillatory α 2 dynamo induced by magnetic coupling between a fluid shell and an inner electrically conducting core: Relevance to the solar dynamo, Astrophysical Journal, volume 532, no. 2 PART 2.
• Roberts PH, Zhang KK. (2000) Thermal generation of Alfven waves in oscillatory magnetoconvection, JOURNAL OF FLUID MECHANICS, volume 420, pages 201-223, DOI:10.1017/S0022112000001440. [PDF]
• Zhang K, Schubert G. (2000) Magnetohydrodynamics in rapidly rotating spherical systems, Annual Review of Fluid Mechanics, volume 32, pages 409-443, DOI:10.1146/annurev.fluid.32.1.409.
• Schubert G, Zhang K. (2000) Spherical Oscillatory alpha^2 Dynamo Induced by Magnetic Coupling Between a Fluid Shell and an Inner Electrically Conducting Core: Relevance to the Solar Dynamo, Astrophys. J, volume 532.
• Zhang K, Gubbins D. (2000) Scale disparities and magnetohydrodynamics in the Earth's core, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 358, no. 1768, pages 899-920, DOI:10.1098/rsta.2000.0566.
• Zhang K, Gubbins D. (2000) Is the geodynamo process intrinsically unstable?, GEOPHYSICAL JOURNAL INTERNATIONAL, volume 140, no. 1, pages F1-F4, DOI:10.1046/j.1365-246x.2000.00024.x. [PDF]
• Zhang K, Schubert G. (2000) Teleconvection: remotely driven thermal convection in rotating stratified spherical layers, Science, volume 290, no. 5498, pages 1944-1947. [PDF]
• Schubert G, Zhang K. (2000) Dynamics of giant planet interiors, FROM GIANT PLANETS TO COOL STARS, PROCEEDINGS, volume 212, pages 210-222. [PDF]

### 1999

• Zhang KK, Chen CX, Greed GT. (1999) Finite-amplitude convection rolls with integer wavenumbers, GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, volume 90, no. 3-4, pages 265-296, DOI:10.1080/03091929908204122. [PDF]
• Sarson GR, Jones CA, Zhang K. (1999) Dynamo action in a uniform ambient field, Physics of the Earth and Planetary Interiors, volume 111, pages 47-68.
• Zhang K, Fearn DR, Schubert G. (1999) Magnetohydrodynamics of the Earth's and planetary interiors, PHYSICS OF THE EARTH AND PLANETARY INTERIORS, volume 111, no. 1-2, pages 1-1. [PDF]
• Zhang K. (1999) Nonlinear magnetohydrodynamic convective flows in the Earth's fluid core, Physics of the Earth and Planetary Interiors, volume 111, no. 1-2, pages 93-103, DOI:10.1016/S0031-9201(98)00149-6.

### 1987

Showing 186 publications from Symplectic.