**Minh-Binh TRAN**

(Trần Minh Běnh)

Van Vleck Assistant
Professor

Office B312 Sterling
Hall

Department of
Mathematics

University of
Wisconsin, Madison, WI 53706

Tel.: (608) 890 3165

email: mtran23 at
wisc dot edu

I was born on
February 28th, 1985 in Vietnam. I am currently a Van Vleck Assistant Professor
at the Department of Mathematics, University of Wisconsin Madison.

I have been carrying
on interdisciplinary research, in collaborating with scientists from

·
The Department of Physics
and The Center for Complex
Quantum Systems (UT Austin)

·
The Department of Aerospace
Engineering and Engineering Mechanics and The Institute for Computational Engineering and Sciences
(UT Austin)

·
Department of Biomolecular
Chemistry - School of Medicine
and Public Health (UW Madision)

My research focuses
on the following topics:

**1.
****Main Theme A:
Kinetic and Dispersive Equations - Gas,
Fluids and Quantum Physics**

1.1 Quantum Kinetic Theory (The coupling Boltzmann-Schrodinger
system):

i) Kinetic equations
approach: The Cauchy problem (joint work with R. Alonso, I. M. Gamba);
Hydrodynamics limits (joint work with S. Jin); Convergence
to equilibrium (joint work with M. Escobedo);
Positivity (joint work with T. Nguyen)

ii) Dispersive
equations approach: Scattering theory (joint work with A. Soffer)

iii) Dynamical
systems approach: The analog between the global attractor
conjecture (GAC)
in chemical reaction
network and the convergence to equilibrium of quantum kinetic equations: joint
work with G. Craciun

iv) Quantum field
theory approach: The Peletmiskii-Yatchenko derivation: (joint work with L. Reichl)

1.2 Dispersive
waves: Weak turbulence for capillary waves (joint work with T. Nguyen)

1.3 Classical
Kinetic Theory: Convergence to equilibrium; Fokker-Plank equations; Nonlinear
Approximation for Boltzmann equation; Structure Preserving Scheme

**2.
****Main Theme B:
Scientific Computing and Computational Sciences**

2.1
Paralleling
Computing:

2.1.1 Domain Decomposition
Methods, Absorbing Boundary Conditions

2.1.2 Applications to:

- Control Theory

- Kinetic Theory

- Stochastic Differential
Equations and Financial Mathematics

2.2
Hybridized
Discontinuous Galerkin Method

2.3
Approximation
Theory: Wavelet, Splines, Spectral Method

**NEWS: **

I am writing the blog **‘On the theories of
weak turbulence and quantum kinetics’**. The blog is devoted to
the description of our recent research results on quantum kinetic and
dispersive waves. Please check out the Introduction and the Table
Of Contents – where a list of all posts is supplied.

I am participating
in the European Research Council (ERC) Advanced Grant Project DYCON, as an External Associate
Member.

My Research

1.
Simulations

3.
Publications

My Teaching

1.
Fall 2015: Math 421

2.
Fall 2016: Math 319

Last updated: 10
March 2017