Inverse problems

1. Nguyen, V. L. On singularities and instability of reconstruction in thermoacoustic tomography. Preprint.

2. Agranovsky, M., and Nguyen, V. L. Range conditions for a spherical mean transform and global extendibility of solutions of darboux equation. Submitted (a newer version is available upon request).

3. Nguyen, V. L. A family of inversion formulas in thermoacoustic tomography. Inverse Problems and Imaging 3, 4 (2009), 649-675.

4. Hristova, Y., Kuchment, P., and Nguyen, L. Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inho-mogeneous media. Inverse Problems 24, 5 (2008), 055006, doi:10.1088/0266-5611/24/5/055006.

Cross-diffusion systems

1. Le, D., Nguyen, L. V., and Nguyen, T. T. Regularity and coexistence problems for strongly coupled elliptic systems. Indiana Univ. Math. J. 56, 4 (2007), 1749-1791.

2. Le, D., Nguyen, L. V., and Nguyen, T. T. Shigesada-Kawasaki-Teramoto model on higher dimensional domains. Electron. J. Differential Equations (2003), No. 72, 12 pp. (electronic).

Others,

1. (with D. Allan and B. Suman) Analytic calculations for steady-state temperature profiles in constant-cooling conditions for fine annealing of glass, in preparation.

L. F. Guseman Prize in mathematics, Texas A&M University, 2009.

KAUST-IAMCS Fellowship, The Institute for Applied Mathematics and Computational Science, Texas A&M University, 2008-2010.

Regents Fellowship, Texas A&M University, 2006.

Invited talk "A family of inversion formulas in thermoacoustic tomography" at Conference on Applied Inverse Problems, July 20-25, 2009, University if Vienna, Vienna, Austria.

Contributed talk "A family of inversion formulas in thermoacoustic tomography" at 3nd Annual Applied Mathematics Meeting for Students, March 27-28, 2009, UT Austin, Austin, Texas.

Expository talk "Spherical mean Radon transform" at Graduate student organization  seminar, March 26, 2009, Texas A&M University, College Station, Texas.

Invited talk (joint with P.Kuchment and Y. Hristova) "Mathematical problems of thermoacoustic tomography" at the Special Session on Radon Transforms, Tomography, and Related Geometric Analysis, Amer. Math. Soc. meeting, Louisiana State University, Baton Rouge, LA, 28 - 30 March 2008.

Contributed talk "Shigesada-Kawasaki-Teramoto Model on Higher Dimensional Domains" at Sixth Mississippi State - UAB Conference on Differential Equations & Computational Simulations, May 13-14, 2005, Mississippi State University, Mississippi.

Photoacoustic Imaging Group, University College of London