Research
Research
Embedded Files
Interests
Interests
Applied analysis: traveling wave analysis; nonlinear conservation laws arising in science and engineering
Modeling and simulation
Mathematical biology: movement of flagellated bacteria, chemotactic behaviors
A single cell's movement [6,7]
From individuals to collective [4]
Traveling wave solutions [3]
Publications
Publications
[7] J. Park, Y. Kim, W. Lee, V. Pfeifer, V. Muraveva, C. Beta, and S. Lim, Bundling instability of lophotrichous bacteria, Phys. Fluids, 36, 101917 (2024)
[6] J. Park, Y. Kim, W. Lee, and S. Lim, Modeling of lophotrichous bacteria reveals key factors for swimming reorientation, Sci. Rep., 12:6482 (2022)
[5] T. Li and J. Park, Traveling waves in a Keller-Segel type model with logistic growth, Commun. Math. Sci., 20:3 (2022), 829–853
[4] J. Park and Z. Aminzare, A mathematical description of bacterial chemotaxis in response to two stimuli, Bull. Math. Biol., 84:9 (2022)
- Extended version: arXiv:2006.00688
[3] T. Li and J. Park, Traveling waves in a chemotaxis model with logistic growth, Discrete Continuous Dyn. Syst. Ser. B, 24 (2019), 6465–6480
[2] T. Li and J. Park, Stability of traveling wave solutions of models for image processing with non-convex and nonlinearity, Commun. Pure Appl. Anal., 17 (2018), 959–985
[1] T. Li and J. Park, Stability of traveling wave solutions of nonlinear conservation laws for image processing, Commun. Math. Sci., 15 (2017), 1073–1106
[0] J. Park, Traveling wave solutions of nonlinear conservation laws arising from image processing and from chemotaxis, Ph.D. Thesis at The University of Iowa (2019)
Talks
Talks
2025
Dynamics of bipolar lophotrichous bacterial motility, International Conference on Computational Method for Coupled Problems in Science and Engineering, May 2025
2024
Understanding bacterial collective behavior, Fall AMS Eastern Sectional meeting, October 2024
Understanding swimming patterns of polarly-flagellated bacteria through modeling, Joint Annual Meeting of KSMB-SMB, July 2024
Modeling of lophotrichous bacteria, SIAM Conference on the Life Sciences, June 2024
2023
Modeling of swimming bacteria, SIAM-NNP Annual Sectional Meeting, October 2023
Keynote speaker on Partial Differential Equations in Biology, Symposium for Undergraduate Mathematics Research 2023, SUNY New Paltz, September 2023
Understanding bacterial reorientation mechanisms, Spring AMS Central Sectional meeting, April 2023
[Virtual] PDE models for chemotaxis, National Institute for Mathematical Sciences Korea, February 2023
2022
Understanding bacterial movement, Seoul National University, December 2022
A mathematical model of a swimming bacterium through a fluid, PDE Seminar, The University of Iowa, September 2022
Understanding collective behavior of bacterial chemotaxis, SIAM Conference on the Life Sciences, July 2022
[Virtual] Understanding the movement of flagellated bacteria, Seminar in the applied and computational mathematics series at Tulane University, March 2022
Understanding movement of flagellated bacteria, Seoul National University, January 2022
2021
From individual motility pattern to the collective movement of flagellated bacteria, Sangmyung University, December 2021
[Virtual] Individual motility pattern and collective movement of flagellated bacteria, Interdisciplinary Center for Quantitative Modeling in Biology (ICQMB) at University of California, Riverside, November 2021
[Virtual] Motility pattern of flagellated bacteria, Biomathematics Seminar at Texas Tech University, September 2021
A swimming strategy of polarly-flagellated bacteria, Virtual Society of Mathematical Biology (SMB) Annual Meeting, June 2021
[Virtual] Feature Selection and Generation, City University of New York (CUNY) GC learning seminar-Machine Learning Reading Group, April 2021
Collective behavior in bacterial chemotaxis, DASIV SmartState Center Spring School - Models and Data, University of South Carolina, April 2021
2020
[Virtual] Collective behavior in bacterial chemotaxis, CUNY Hunter College Applied Math Seminar, November 2020
A swimming strategy of flagellar bacteria via wrapping the flagella around the cell body, Mathematical Biosciences Institute (MBI) virtual workshop on Mathematical and Computation Methods in Biology, May 2020
2019
Collective behavior of bacterial chemotaxis: advection-diffusion approximation and simulation, Kyung Hee University, December 2019
Collective behavior of bacterial chemotaxis: advection-diffusion approximation and simulation, National Institute for Mathematical Sciences (NIMS), Korea, December 2019
Collective behavior of bacteria in response to two stimuli: advection-diffusion approximation and simulation, Math-bio Seminar, University of Iowa, November 2019
Traveling waves in a chemotaxis model, PDE Learning Seminar, University of Iowa, November 2019
Traveling wave solutions of nonlinear conservation laws for image processing, The Midwest Women in Mathematics Symposiums, University of Iowa, April 2019
Traveling wave solutions of models for image processing, Sangmyung University, Korea, January 2019
2018
Traveling wave solutions of nonlinear conservation laws for image processing, Seoul National University, Korea, December 2018
Traveling waves in a chemotaxis model with logistic growth, The Advanced Summer School on Continuation Methods for Nonlinear Problems, University of Illinois at Urbana-Champaign, August 2018
Nonlinear conservation laws arising from image processing, Yonsei University, Korea, January 2018
Home institute talks (2015 - )
Home institute talks (2015 - )
Simulating flagellated bacteria swimming (Math and Cookies), SUNY New Paltz, October 2022
Differential equations in real life, Seminar for undergraduate students (Math and Cookies), SUNY New Paltz, December 2021
A population-level model of E. coli chemotaxis, Applied Math Seminar, University of Cincinnati, October 2019
Nonlinear conservation laws with non-convex fluxes for image processing, PDE seminar, University of Iowa, April 2018
Nonlinear conservation laws arising from image denoising, PDE Seminar, University of Iowa, November 2016
Asymptotic stability of traveling waves for scalar viscous conservation laws, PDE Seminar, University of Iowa, December 2015
Existence and uniqueness of entropy solution for scalar conservation laws (I, II), PDE Seminar, University of Iowa, April, May 2015
Poster presentations
Poster presentations
Traveling waves in a chemotaxis model, Workshop on Evolutionary Dynamics in Cancer at MBI, November 2019
Stability of traveling wave solutions of nonlinear conservation laws for image processing, Association for Women in Mathematics (AWM) Workshop at 2019 Joint Mathematics Meetings, January 2019
Awards and Grant Support
Awards and Grant Support
Dr. Nuala McGann Drescher Leave Award, New York State (NYS)/United University Professions (UUP) Joint Labor-Management Committees, Fall 2024
Individual Development Awards, NYS/UUP Joint Labor-Management Committees, Spring 2024
Research & Creative Projects Awards, SUNY New Paltz, 2023-2025
Research Foundation/SUNY Center for Professional Development Scholarship for Granting Writing Course, Fall 2022
Early Career Travel Award for the SIAM Conference on the Life Sciences, 2022
AWM Travel Grant for Poster Presentation in the AWM Workshop at JMM, AWM, 2019
AMS Grad Student Travel Grant to AMS Sectional Meeting, Fall 2018
Organizer/co-organizer of sessions at scientific meetings
Organizer/co-organizer of sessions at scientific meetings
Co-organizer (with Daniel Cooney, Rebecca Hardenbrook) of a session, Fall AMS Eastern Sectional meeting at University of Albany, October 2024: Agent-Based and Mean-Field Modeling for Complex Social Systems (Part I-III)
Co-organizer (with Sookkyung Lim, Yanyu Xiao, Hem R. Joshi, David Gerberry) of a session, Spring AMS Central Sectional meeting at University of Cincinnati, April 2023: Mathematical modeling in Biosciences (Part I-IV)
Co-organizer (with Zahra Aminzare) of a mini-symposium session, SIAM Conference on the Life Science, July 2022:
Mathematical Modeling to Understanding Chemotactic Behavior of Flagellated Bacteria (Part I)
Mathematical Modeling to Understanding Chemotactic Behavior of Flagellated Bacteria (Part II)
Selected Workshops and Spring/Summer Schools Attended
Selected Workshops and Spring/Summer Schools Attended
Parallel Programming and GPU Bootcamp, October 14-15, Princeton Research Computing, Princeton University
KSMB-SMB Satellite Workshop on Tutorials for Recent Advances in Methods of Biomedical Mathematics, June 27-29, Institute for Basic Science (IBS) Korea, June 27-29
Mathematics Research Communities Program on Complex Social Systems, AMS, June 18-24, 2023
DASIV SmartState Center Spring School - Models and Data, University of South Carolina
The Advanced Summer School on Continuation Methods for Nonlinear Problems, University of Illinois at Urbana-Champaign, August 13-24, 2018
MSRI Summer School on Nonlinear dispersive PDE, quantum many particle systems and the world between, Instituto Nazionale Di Alta Matematica, Italy, July 17-28, 2017
MSRI Summer School - Séminaire de Mathématiques Supérieures 2016: Dynamics of Biological Systems, University of Alberta for PIMS, Canada, May 30-Jun 11, 2016
Computer Skills
Computer Skills
MATLAB, Fortran, Python, Mathematica, XPPAUT
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