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Andrew Lam

Research interest

  • Sharp interface and phase field modelling of soluble surfactants in two-phase flow.
  • Phase field approximation of PDEs on complex domain.
  • Shape and topology optimisation in fluid flow.

Preprints/Publications

  1. Accuracy and Stability of Filters for Dissipative PDEs
    [with C.E.A. Brett, K.J.H. Law, D.S. McCormick, M.R. Scott, and A.M. Stuart] in Phys. D, Vol 245, (2013), pg 34-45
  2. Diffuse interface modelling of soluble surfactants in two-phase flow
    [with H. Garcke and B. Stinner] in Commun. Math. Sci., Vol 12, No 8, (2014), pg 1475-1522
  3. Analysis of the diffuse domain approach to a bulk-surface coupled PDE system
    [with H. Abels and B. Stinner] in SIAM J. Math. Anal., Vol 47, Issue 5, (2015), pg 3687-3725
    ArXiv version (with additional details for the analysis with other boundary conditions)
  4. Shape optimization with surface functionals in Navier-Stokes flow using a phase field approach
    [with H. Garcke, C. Hecht, M. Hinze, and C. Kahle]
  5. A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport
    [with H. Garcke, E. Sitka and V. Styles]
    accepted in M3AS (Mathematical Models and Methods in Applied Sciences)
  6. Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport
    [with H. Garcke]

Articles in Proceedings and Reports

  • Phase-field modelling of two-phase flow with soluble surfactant
    [with H. Garcke and B. Stinner] in Interfaces and Free Boundaries: Analysis, Control and Simulation, Oberwolfach Report, doi: 10.4171/OWR/2013/15 (2013).

Thesis