I classify myself as a theoretical applied mathematician - a person that studies problems arising from applied sciences (like biological growth and fluid flow) and aims for theoretical results.

My work mainly involves proving mathematical theorems about various models used in applied sciences. These are statements regarding certain properties of solutions to partial differential equations that would be useful for scientists.

Below you can find a brief summary of my research interests and the research projects I am responsible as principal investigator.

Research Interests

Research projects (as Principal Investigator)

Hong Kong RGC General Research Fund

  1. Optimising the design of support structures in additive manufacturing with phase fields

    [RGC project number (12300321)] Period: 01/01/2022 to 31/12/2024. Funding: $391,015 HKD

  2. Modelling and analysis of diffuse interface models for two-phase micropolar fluid flows

    [RGC project number (14303420)] Period: 01/01/2021 to 31/12/2023. Funding: $555,754 HKD

  3. On Cahn-Hilliard models with singular potentials and source terms

    [RGC project number (14302319)] Period: 01/09/2019 to 31/08/2022. Funding: $502,444 HKD

  4. Mathematical studies of a phase field approach to shape optimization

    [RGC project number (14302218)] Period: 01/01/2019 to 31/12/2021. Funding: $456,452 HKD