Home / Faculty / Simon, John Sebastian

Simon, John Sebastian

Assistant Professor
Email Addressjssimon@math.upd.edu.ph
RoomMath Building Annex 218 - J
Research Interests
Navier--Stokes equations \(\diamond\) Cahn--Hilliard equations \(\diamond\) Boussinesq and Fourier equations \(\diamond\) Euler equations \(\diamond\) optimal control \(\diamond\) lipschitz and density based shape optimization
  • Education
    • PhD Mathematics 博士(理学) (2022), President's Award (学長表彰)
      Kanazawa University (金沢大学)

      Dissertation: Fluids, Shapes, and Controls: Shape Design Problems for Maximizing Fluid Vortices for Flow Past a Cylinder
      Adviser: Hirofumi Notsu, Ph.D.

    • Master of Science in Mathematics (2018)
      University of the Philippines Baguio

      Thesis: Optimal Control for a Fluid Governed by the Navier-Stokes Equations with Delay in the Convection
      Adviser: Gilbert R. Peralta, Dr.rer.nat.

    • Bachelor of Science in Mathematics (2016), Cum Laude
      University of the Philippines Baguio
  • Postdoctoral Fellowships
    • Institute of Mathematics of the Czech Academy of Sciences

      Project: Praemium Academiae grant of RNDr. Šárka Nečasová (2022-2024)

    • Johann Radon Institute for Computational and Applied Mathematics

      Project: Optimization and Optimal Control Group of Prof. Dr. Karl Kunisch (2024-2025)

    • Institute of Mathematics of the University of Koblenz

      Project: DFG project Fluid dynamic shape optimization with phase fields and Lipschitz methods of Prof. Dr. Michael Hinze and Dr. Christian Kahle (2025-2026)

  • Publications

    [14] M. Hinze, C. Kahle & J.S.H.S, Long-time behavior of solutions to fluid dynamic shape optimization problems via phase-field method, to appear in Interfaces and Free Boundaries (arXiv:2601.13293)

     

    [13] K. Bhandari, B. Ducomet, Š. Nečasová & J.S.H.S., On an Euler-Schrödinger system appearing in laser-plasma interaction, Journal of Hyperbolic Differential Equations 22:4 (2025), 761–779

     

    [12] K. Kunisch & J.S.H.S., Low-regret shape optimization in the presence of missing Dirichlet data, Inverse Problems 41(2025), 085012.

     

    [11] N. Jork & J.S.H.S., Analysis of Unregularized Optimal Control Problems Constrained by the Two-Dimensional Boussinesq System, SIAM Journal on Mathematical Analysis 57:4 (2025).

     

    [10] B. Ducomet, Š. Nečasová & J.S.H.S., Global solutions of Euler-Maxwell equations with dissipation, Annali di Matematica Pura ed Applicata 204(2025), 1541–1559.

     

    [9] Š. Nečasová & J.S.H.S., On a nonlocal two-phase flow with convective heat transfer, Journal of Nonlinear Science 34:65(2024).

     

    [8] A. Dominguez Corella, N. Jork, Š. Nečasová & J.S.H.S., Stability analysis of the Navier-Stokes velocity tracking problem with bang-bang controls, Journal of Optimization Theory and Applications 201(2024), 790–824.

     

    [7] J.S.H.S., Long-time behavior of shape design solutions for the Navier–Stokes equations, Journal of Applied Mathematics and Mechanics 103:2(2023), e202100441.

     

    [6] J.S.H.S. & H. Notsu, A shape design problem for the Navier–Stokes flow with a convective boundary condition, Computational and Applied Mathematics 41:167(2022).

     

    [5] J.S.H.S. & H. Notsu, A Shape Optimization Problem Constrained with the Stokes Equations to Address Maximization of Vortices, Evolution Equations and Control Theory 11:6(2022), 1873–1902.

     

    [4] J.S.H.S. & H. Notsu, A Convective Boundary Condition for the Navier–Stokes equations, Applied Mathematics Letters 128(2022), 107876.

     

    [3] G. R. Peralta & J.S.H.S., Optimal Control for the Navier-Stokes Equation with Time Delay in the Convection: Analysis and Finite Element Approximations, Journal of Mathematical Fluid Mechanics 23:56(2021).

     

    [2] J.S.H.S. & R. B. Po, Optimal Control for a Discrete Time Model for Tuberculosis, Thai Journal of Mathematics 17(1), 193-204.

     

    [1] J.S.H.S. & J. F. Rabago, Optimal Control for a Predator – Prey Model with Disease in the Prey-Population, Malaysian Journal of Mathematical Sciences 12(2), 269–285.