Mathematical Physics Laboratory

Research subjects

We are interested in the theories and applied technologies of the following research areas:

• Statistics
  theoretical research and applications on various fields including AI, Entropy research, Neuroscience, and biological industries


• Artificial Intelligence
  various neural network models including Autoencoder, Boltzmann machine, Transformer etc.


• Entropy
  generalized Boltzmann entropy, application on AI, finantial data, and biological data


• Boltzmann equation
  discrete kinetic theory and lattice Boltzmann method for fluid flow simulation


• Econometrics, Financial mathematics
  application of Boltzmann equation, stochastic differential equation, optimal pricing mechanism


• Parallel computing
  CPU and GPU based parallelization

Positions of Master and Ph. D. candidates are available.

Selected publications

J. W. Shim,

Generalized Entropy Approach for Conserved Systems with Finite Entities: Insights into Non-Gaussian and Non-Chi-Square Distributions using Havrda-Charvat-Tsallis Entropy.

International Journal of Theoretical Physics, 62 (2023)

J. W. Shim,

Minimal number of discrete velocities for a flow description and internal structural evolution of a shock wave.

International Journal of Non-Linear Mechanics, 128 (2021)

J. W. Shim,

Entropy formula of N-body system.

Scientific Reports, 10 (2020)

S.-J. Oh et al., (J. W. Shim as a co-corresponding author)

Ultrasonic Neuromodulation via Astrocytic TRPA1.

Current Biology, 29 (2019)

J. W. Shim,

Parametric lattice Boltzmann method.

Journal of Computational Physics, 338 (2017)

J. W. Shim,

Multidimensional on-lattice higher-order models in the thermal lattice Boltzmann theory.

Physical Review E, 88, 053310 (2013)

J. W. Shim,

Univariate polynomial equation providing on-lattice higher-order models of thermal lattice Boltzmann theory.

Physical Review E, 87, 013312 (2013)

J. W. Shim* and R. Gatignol,

How to obtain higher-order multivariate Hermite expansion of Maxwell-Boltzmann distribution by using Taylor expansion.

Zeitschrift fuer Angewandte Mathematik und Physik, 64, 473 (2013)

D. H. Woo et al.,

TREK-1 and Best1 channels mediate fast and slow glutamate release in astrocytes upon GPCR activation.

Cell, 151, 25 (2012)

J. W. Shim* and R. Gatignol,

Thermal lattice Boltzmann method based on a theoretically simple derivation of the Taylor expansion.

Physical Review E, 83, 046710 (2011)

J. W. Shim* and R. Gatignol,

Robust thermal boundary conditions applicable to a wall along which temperature varies in Lattice Gas Cellular Automata.

Physical Review E, 81, 046703 (2010)

J. W. Shim* and R. Gatignol,

Microchannel flow with Lattice Gas Cellular Automata and lattice Boltzmann method.

Houille Blanche-Revue Internationale de l'Eau, 5, 120 (2009)

Conferences

J. W. Shim,

Reduced number of discrete velocities for a flow description by lattice Boltzmann theory.

Proceedings of the 28th International Symposium on rarefied gas dynamics (2012)

J. W. Shim,

Uniform polynomial equations providing higher-order multi-dimensional models in lattice Boltzmann theory.

Proceedings of the 1st European conference on gas micro flows (2012)

J. W. Shim,

Stability and accuracy of thermal lattice Boltzmann theory.

Proceedings of the 3rd GASMEMS Workshop (2011)

J. W. Shim* and R. Gatignol,

Robust thermal boundary condition using Maxwell-Boltzmann statistics and its application.

Proceedings of the 27th International Symposium on Rarefied Gas Dynamics (2010)

J. W. Shim* and R. Gatignol,

Thermal lattice Boltzmann method based on Taylor expansion with applications.

Proceedings of the 2nd GASMEMS Workshop (2010)

J. W. Shim* and R. Gatignol,

Microchannel flow with Lattice Gas Cellular Automata and lattice Boltzmann method.

Proceedings of the 1st European conference on microfluidics, Bologna (2008)

J. W. Shim* and R. Gatignol,

Microchannel flow with Lattice Gas Cellular Automata and lattice Boltzmann method.

Proceedings of the 26th International Symposium on Rarefied Gas Dynamics (2008)

J. W. Shim* and R. Gatignol,

Microchannel Flow simulation with Lattice Gas Cellular Automata.

The fifth international conference for mesoscopic methods in engineering and science, Amsterdam (2008)

Selected applied or registered patents

Unmanned aerial vehicle having buoyancy apparatus and attitude control method thereof. (US)

Method for simulating fluid flow using Tsallis entropy and Renyi entropy. (US)

Apparatus and method for forgery prevention of digital information. (US)

Apparatus and method of separating sound sources. (US)

Appartus and method for forgery protection of digital information. (KR)

Apparatus for radiation shield. (KR)

Unmanned vehicle having buoyancy apparatus and position and attitude control method of unmanned vehicle. (KR)

Sound reduction system and sound reduction method using the same. (KR)

Method for simulating fluid flow using Tsallis entropy and Renyi entropy. (KR)

Apparatus and method for separating sound sources 1. (KR)

Apparatus and method for separating sound sources 2. (KR)

Device for decreasing air resistance for automobile. (KR)

Sound reduction system and sound reduction method using the same. (KR)

Wind control system inside a vehicle and method for controlling a wind using the same. (KR)

Contact information

Korea Institute of Science and Technology (KIST) &
Major of Artificial Intelligence & Robotics, KIST School, Korea National University of Science and Technology (UST),
5 Hwarangno 14-gil, Seoul, Republic of Korea

Copyright 2021, 2023 J. W. Shim. All rights reserved.