index.html

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.st-and.ac.uk

Web site: http://www-vortex.mcs.st-and.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 -- Present: RCUK Academic Fellow, School of Mathematics and Statistics, University of St Andrews

Teaching

2007 -- 2008:
MT4005 - Linear and Nonlinear Waves (with Dr Jean Reinaud)
MT4508 - Dynamical Systems

2008 -- 2009:
MT5802 - Advanced Analytic techniques (with Dr Magda Carr)
MT2001 - Mathematics (with Prof. David Dritschel, Drs Andrew Wright and Martyn Quick)

2009 -- 2010:
MT1001 - Introductory Mathematics (with Drs Jean Reinaud and Magda Carr)
MT5802 - Advanced Analytic techniques (with Dr Magda Carr)
MT2001 - Mathematics (with Prof. David Dritschel and Dr Martyn Quick)

List of courses offered by the department and relevant information

Research

Research interests

Geophysical fluid dynamics, turbulence, stability, mixing and transport

Publications

CVT and D.G. Dritschel: Energy dissipation and resolution of steep gradients in one-dimensional Burgers flows (2009).

CVT, D.G. Dritschel and R.K. Scott: Effective degrees of nonlinearity in a family of generalized models of two-dimensional turbulence (2009).

CVT: The number of degrees of freedom of three-dimensional Navier--Stokes turbulence (2009).

D.G. Dritschel, R.K. Scott, R.K. Macaskill, G. Gottwald and CVT: Late time evolution of unforced inviscid two-dimensional turbulence, J. Fluid Mech. accepted (2009).

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

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

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

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

CVT: Constraints on inertial range scaling laws in forced two-dimensional Navier--Stokes turbulence, Phys. Fluids 19, 108109 (2007). (online)

D.G. Dritschel, CVT and R.K. Scott: Revisiting Batchelor's theory of two-dimensional turbulence, J. Fluid Mech. 591, 379--391 (2007). (online)

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

CVT and D.G. Dritschel: Large-scale dynamics in two-dimensional Euler and surface quasigeostrophic flows, Phys. Fluids 18, 121703 (2006). (online)

CVT and D.G. Dritschel: Vanishing enstrophy dissipation in two-dimensional Navier--Stokes turbulence in the inviscid limit, J. Fluid Mech. 559, 107--116 (2006). (online)

CVT and D.G. Dritschel: Impeded inverse energy transfer in the Charney--Hasegawa--Mima model of quasi-geostrophic flows, J. Fluid Mech. 551, 435--443 (2006). (online)

CVT: Diminishing inverse transfer and non-cascading dynamics in surface quasi-geostrophic turbulence, Physica D 213, 76--84 (2006). (online)

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

CVT and J.C. Bowman: Large-scale energy spectra in surface quasi-geostrophic turbulence, J. Fluid Mech. 526, 349--359 (2005). (online)

CVT, T.G. Shepherd and H.-R. Cho: Extensivity of two-dimensional turbulence, Physica D 192, 187--195 (2004). (online)

CVT: Nonlinear transfer and spectral distribution of energy in alpha turbulence, Physica D 191, 137--155 (2004). (online)

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

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

CVT and J.C. Bowman: On the dual cascade in two-dimensional turbulence, Physica D 176, 242--255 (2003). (online)

CVT, T.G. Shepherd and H.-R. Cho: Stability of stationary solutions of the forced Navier-Stokes equations on the two-torus, Discrete Contin. Dyn. Syst. B 2, 483--494 (2002). (online)

CVT and T.G. Shepherd: Constraints on the spectral distribution of energy and enstrophy dissipation in forced two-dimensional turbulence, Physica D 165, 199--212 (2002). (online)

CVT: Extensive chaos and complexity of two-dimensional turbulence, PhD thesis, University of Toronto (2001).

Recent Talks

Local transfer and spectra of a diffusive field advected by large-scale incompressible flows, IUTUM Symposium on Rotating Stratified Turbulence and Turbulence in the Atmosphere and Oceans (Isaac Newton Institute, Cambridge; December 2008)

Constraints on scalar diffusion anomaly in three-dimensional flows having bounded velocity gradients, Structure and Waves in Anisotropic Turbulence (Mathematics Institute, Warwick; November 2008)

Scalar transport, The Nature of High Reynolds Number Turbulence, (Isaac Newton Institute, Cambridge; October 2008)

Local transfer and spectra of a diffusive field advected by large-scale incompressible flows, Seminar Series on Turbulence (Mathematics Institute, Imperial College; May 2008)

An upper bound for passive scalar diffusion in shear flows, Workshop on Two-dimensional Turbulence (Lorentz Centre, Leiden; March, 2007)

Vanishing enstrophy dissipation in two-dimensional Navier-Stokes turbulence in the inviscid limit, Workshop on Theoretical and Computational Issues in Environmental Turbulence (Mathematics Institute, Warwick; March, 2006)

Enstrophy dissipation in freely evolving two-dimensional turbulence, Department of Mathematics and Informatics Colloquium (Vietnam National University, Ho Chi Minh City; August, 2005)

Refereeing for

Physica D, Journal of Fluid Mechanics, Physical Review Letters, Physics of Fluids, Journal of the Atmospheric Sciences, Discrete and Continuous Dynamical Systems, Journal of Mathematical Physics