Projects per year
Personal profile
Chinese Name
Biography
Recevied his Ph.D. from University of Warwick, U.K., in 2014, and after a 3-year postdoc at University of Regensburg, Germany, followed by a 3-year Research Assistant Professorship at Chinese University of Hong Kong, Andrew joined Hong Kong Baptist University in 2020 as an Assistant Professor.
Research Interests
An applied matematician with primary research interest in
- Mathematical modelling
Derive mathematical models for multi-component materials and fluids with applications in biological sciences and industry, such as tumour growth and soluble surfactants in two-phase flows.
- Analysis
Mathematical analysis of coupled systems of elliptic and parabolic partial differential equations, sometimes with degenerate and singular terms. Establishing important properties such as existence and uniqueness of solutions, and various interesting asymptotic limits.
- Optimal Control
Employ optimal control methodology and Tikhonov regularisation to solve inverse identification problems inferring model parameters from data, and geometric inverse problems identifying location of interfaces between two different materials. Investigate convergence to solutions of the original inverse problem as the Tikhonov parameter tends to zero. - Numerical schemes
Develop energy stable numerical schemes for the simulation of nonlinear partial differential equations with bulk-surface interactions and dynamic boundary conditions. Establish existence and convergence of discrete solutions.
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Phase field modeling, calibration and experimental design for Stereolithography in 3D printing
1/01/23 → …
Project: Research project
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Optimising the design of support structures in additive manufacturing with phase fields
1/01/22 → 31/12/24
Project: Research project
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Modelling and analysis of diffuse interface models for two-phase micropolar fluid flows
1/01/21 → 31/12/23
Project: Research project
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On Cahn-Hilliard models with singular potentials and source terms
1/09/19 → 28/02/23
Project: Research project
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Mathematical studies of a phase field approach to shape optimization
1/01/19 → 30/06/22
Project: Research project
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Global and exponential attractors for a Cahn–Hilliard equation with logarithmic potentials and mass source
Lam, K. F., 5 Mar 2022, In: Journal of Differential Equations. 312, p. 237-275 39 p.Research output: Contribution to journal › Article › peer-review
Open Access1 Citation (Scopus) -
On the Existence of Strong Solutions to the Cahn-Hilliard-Darcy System with Mass Source
Giorgini, A., Lam, K. F., Rocca, E. & Schimperna, G., Jan 2022, In: SIAM Journal on Mathematical Analysis. 54, 1, p. 737-767 31 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)4 Downloads (Pure) -
ReDisX: a Continuous Max Flow-based framework to redefine the diagnosis of diseases based on identified patterns of genomic signatures
Yip, H. F., Chowdhury, D., Wang, K., Liu, Y., Gao, Y., Lan, L., Zheng, C., Guan, D., Lam, K. F., Zhu, H., Tai, X. & Lu, A., 11 Apr 2022, Cold Spring Harbor Laboratory Press, 38 p.Research output: Working paper › Preprint
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Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities
Frigeri, S., Lam, K. F. & Signori, A., Apr 2022, In: European Journal of Applied Mathematics. 33, 2, p. 267-308 42 p.Research output: Contribution to journal › Article › peer-review
Open Access2 Citations (Scopus) -
On a phase field model of Cahn–Hilliard type for tumour growth with mechanical effects
Garcke, H., LAM, K. F. & Signori, A., Feb 2021, In: Nonlinear Analysis: Real World Applications. 57, 103192.Research output: Contribution to journal › Article › peer-review
18 Citations (Scopus)