School of Mathematics and Statistics
University of St Andrews
St Andrews KY16 9SS, Scotland
Chuong V. Tran
Office: 306
Tel: +44 1334 463741
Fax: +44 1334 46 3748
Email: chuong@mcs.stand.ac.uk
Web site:
http://wwwvortex.mcs.stand.ac.uk/~chuong/
Education
B.Sc. in Mathematical
Physics, 1995 (Alberta)
M.Sc. in Physics, 1996 (Toronto)
Ph.D. in Physics, 2001 (Toronto)
Work Experience
01/2001  06/2001:
Postdoctoral Fellow, Department of Physics, University of Toronto
07/2001  08/2004: Postdoctoral Fellow (Pacific Institute for the Mathematical Sciences Postdoctoral Fellow
from 04/2002 to 03/2004), Department of Mathematical and Statistical
Sciences, University of Alberta
09/2004  08/2005: Temporary Lecturer, Mathematics Institute, University of
Warwick
09/2005  08/2010: RCUK Academic Fellow, School of Mathematics and
Statistics, University of St Andrews
09/2010  Present: Lecturer, School of Mathematics and Statistics,
University of St Andrews
Teaching
Previous years:
MT1001  Introductory Mathematics
MT2001  Mathematics
MT3503  Complex Analysis
MT4005  Linear and Nonlinear Waves
MT4508  Dynamical Systems
MT5802  Advanced Analytic techniques
20132014:
MT3503  Complex Analysis
MT5802  Advanced Analytic techniques
List of courses offered
by the department and relevant information
Research
Research
interests
GFD, MHD, turbulence, stability, mixing and transport
Publications

CVT and X. Yu: Depletion of
nonlinearity in the pressure force driving NavierStokes flows,
under review.

L.A.K. Blackbourn and CVT:
Numerical study of a family of generalized models of twodimensional
turbulence, under review.

L.A.K. Blackbourn and CVT:
Inertialrange dynamics and scaling laws of twodimensional
magnetohydrodynamic turbulence in the weak field regime, under review.

CVT, X. Yu and L.A.K. Blackbourn:
Twodimensional magnetohydrodynamic turbulence in the limits of infinite
and vanishing magnetic Prandtl number,
J. Fluid Mech.
725,
195215 (2013).
(online)

CVT, X. Yu and Z. Zhai: On global
regularity of 2D generalized magnetohydrodynamic equations,
J. Differential Equations
254,
41944216 (2013).
(online)

CVT, X. Yu and Z. Zhai: Note on solution
regularity of the generalized magnetohydrodynamic equations with partial
dissipation,
Nonlinear Anal.
85,
4351 (2013).
(online)

CVT and X. Yu: Bounds for the number
of degrees of freedom of magnetohydrodynamic turbulence in two and three
dimensions, Phys. Rev. E
85,
066323 (2012).
(online)

L.A.K. Blackbourn and CVT: On
energetics and inertialrange scaling laws of twodimensional
magnetohydrodynamic turbulence,
J. Fluid Mech.
703,
238254 (2012).
(online)

CVT and L.A.K. Blackbourn: A dynamical
systems approach to fluid turbulence,
Fluid Dyn. Res.
44,
031417 (2012).
(online)

L.A.K. Blackbourn and CVT:
Effects of friction on twodimensional NavierStokes turbulence,
Phys. Rev. E
84,
046322 (2011).
(online)

CVT, L.A.K. Blackbourn and R.K. Scott:
Number of degrees of freedom and energy spectrum of surface quasigeostrophic
turbulence, J. Fluid Mech.
684, 427440
(2011). (online)

CVT and D.G. Dritschel:
Energy dissipation and resolution of steep gradients in
onedimensional Burgers flows, Phys.
Fluids 22, 037102 (2010). (online)

CVT, D.G. Dritschel and R.K. Scott:
Effective degrees of nonlinearity in a family of generalized models of
twodimensional turbulence, Phys.
Rev. E
81, 016301 (2010). (online)

CVT and L. Blackbourn: Number of degrees of freedom of twodimensional turbulence, Phys. Rev. E
79, 056308 (2009). (online)

CVT: The number of degrees of freedom of
threedimensional NavierStokes turbulence, Phys. Fluids
21, 125103 (2009). (online)

D.G. Dritschel, R.K. Scott, C. Macaskill,
G.A. Gottwald and CVT: Vortex selfsimilarity and the evolution of unforced inviscid twodimensional turbulence, Advance in
Turbulence XII  Proceedings of the 12th Euromech European Turbulence Conference
132, 461464
(2009).

D.G. Dritschel, R.K. Scott, C. Macaskill,
G.A. Gottwald and CVT: Late time evolution of unforced inviscid twodimensional turbulence, J. Fluid Mech.
640, 215233
(2009). (online)

CVT: Constraints on scalar
diffusion anomaly in threedimensional flows having bounded velocity
gradients, Phys. Fluids
20, 077103 (2008).
(online)

CVT: Local transfer and
spectra of a diffusive field advected by largescale incompressible
flows, Phys. Rev. E
78, 036310 (2008).
(online)

D.G. Dritschel, R.K. Scott, C. Macaskill,
G.A. Gottwald and CVT: Unifying theory for vortex dynamics in twodimensional
turbulence, Phys. Rev. Lett.
101, 094501 (2008).
(online)

CVT: Constraints on inertial
range scaling laws in forced twodimensional NavierStokes turbulence,
Phys. Fluids
19, 108109 (2007).
(online)

D.G. Dritschel, CVT and R.K. Scott:
Revisiting Batchelor's theory of twodimensional turbulence,
J. Fluid Mech.
591, 379391 (2007).
(online)

CVT: An upper bound for passive
scalar diffusion in shear flows,
Phys. Fluids
19, 068104 (2007).
(online)

CVT and D.G. Dritschel:
Largescale dynamics in twodimensional Euler and surface quasigeostrophic
flows, Phys. Fluids
18, 121703 (2006).
(online)

CVT and D.G. Dritschel: Vanishing enstrophy dissipation in twodimensional NavierStokes turbulence in the inviscid limit,
J. Fluid Mech.
559, 107116 (2006).
(online)

CVT and D.G. Dritschel:
Impeded inverse energy transfer in the CharneyHasegawaMima model of quasigeostrophic flows,
J. Fluid Mech.
551, 435443 (2006).
(online)

CVT: Diminishing
inverse transfer and noncascading dynamics in surface quasigeostrophic
turbulence, Physica D
213, 7684 (2006).
(online)

CVT:
Enstrophy dissipation in freely evolving twodimensional turbulence,
Phys. Fluids
17, 081704 (2005).
(online)

CVT and J.C. Bowman: Largescale
energy spectra in surface quasigeostrophic turbulence,
J. Fluid Mech.
526, 349359 (2005).
(online)

CVT, T.G. Shepherd and
H.R. Cho: Extensivity of twodimensional turbulence,
Physica D
192, 187195 (2004).
(online)

CVT: Nonlinear transfer and
spectral distribution of energy in alpha turbulence,
Physica D
191, 137155 (2004).
(online)

CVT and J.C. Bowman: Robustness
of the inverse cascade in twodimensional turbulence,
Phys. Rev. E
69, 036303 (2004).
(online)

CVT and J.C. Bowman: Energy budgets
in CharneyHasegawaMima and surface quasigeostrophic turbulence,
Phys. Rev. E
68, 036304 (2003).
(online)

CVT and J.C. Bowman: On the dual
cascade in twodimensional turbulence,
Physica D
176, 242255 (2003).
(online)

CVT, T.G. Shepherd and
H.R. Cho: Stability of stationary solutions of the forced NavierStokes
equations on the twotorus,
Discrete Contin. Dyn. Syst. B
2, 483494 (2002).
(online)

CVT and T.G. Shepherd: Constraints
on the spectral distribution of energy and enstrophy dissipation in forced
twodimensional turbulence,
Physica D
165, 199212 (2002).
(online)
 CVT: Extensive chaos and complexity of
twodimensional turbulence, PhD thesis, University of Toronto (2001).
Selected
Talks
Growth of velocity norms in
NavierStokes flows, Clay Mathematics Institute Workshop on
Geometry and Fluids
(Oxford, April 2014)
Global regularity of MHD turbulence
with partial hyperdissipation, IUTAM Symposium on Understanding
Common Aspects of Extreme Events in Fluids
(Dublin, July 2012)
A dynamical systems approach to
fluid turbulence, Fourth International Symposium on Bifurcations
and Instabilities in Fluid Dynamics
(Barcelona, July 2011)
A quantitative description
of turbulence, Canadian Mathematical Society Meeting
(Edmonton, June 2011)
The number of degrees of freedom of
threedimensional NavierStokes turbulence, Fields Institute
Workshop on the Dynamics in Environmental and Geophysical flows
(Waterloo, July 2009)
Refereeing for
Physica D, Journal of Fluid Mechanics,
Physics of Fluids, Physical Review Letters, Physical Review E, Journal of
the Atmospheric Sciences, Discrete and Continuous Dynamical Systems,
Journal of Mathematical Physics, Geophysical and Astrophysical Fluid
Dynamics, Applied Mathematics and Computation, SIAM Journal on Applied
Mathematics, Europhysics Letters, Journal of Physics A, Applied Mathematical
Modelling, Applied Mathematics Letters, Journal of Mathematical Analysis
and Applications, Nonlinearity
Applied Mathematics Seminars 2013/2014
Follow the above link for a schedule of weekly seminars in applied mathematics. If you would like to visit us and give a seminar, please contact me.
Thank you for visiting my home page.
How about a tour of my bigger home at the link below?
Vortex Dynamics Research Group