Research Output per year
Personal profile
Research interests
I research into differential equations, mostly PDEs, and their applications. Much of my work concerns diffusion-type equations and I am particularly interested in
blow-up, as can model explosions or ignition,
free-boundary problems, such as phase-change models, and
models with non-local terms
I am also interested in mathematical modelling of industrial, societal, and other problems, from bread baking and welding to homelessness and housing allocation. Many of these research areas originate through interaction with the Industrial Mathematics KTN and particularly the Study Groups with Industry.
Biography
I received my D.Phil. in mathematics at Oxford in 1979, then held post-doctoral fellowships, in both Oxford and Wellington. My work in this period concerned:
Free-boundary problems, including both freezing/melting and the famous Hele-Shaw problem.
Ignition, using both ODE and parabolic-equation models.
A high-order parabolic model for thin-film flow.
I was appointed lecturer at Heriot-Watt in 1982, reader in 1987, professor in 1996, and elected fellow of the Royal Society of Edinburgh in 1990. Here I have continued my earlier research, proving key results on blow-up for parabolic equations, and on free-boundary motion.
Largely through participation in Study Groups with Industry, I have also studied diverse practical problems:
Industrial, including calorimetry, bread crusts and green roofs (collaborating companies have been small, SMEs, and large, such as RHM).
Scientific, such as fire spread.
Social, such as homelessness levels.
Fingerprint Dive into the research topics where Andrew Alfred Lacey is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
Co Author Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Research Output
- 54 Article
A mathematical model of serious and minor criminal activity
Lacey, A. A. & Tsardakas, M., Jun 2016, In : European Journal of Applied Mathematics. 27, 3, p. 403-421 19 p.Research output: Contribution to journal › Article
Open Access
File
3
Citations
(Scopus)
62
Downloads
(Pure)
Determining the twist in an optical fiber
Lacey, A. A., Rakesh & Tang, J., 24 Feb 2016, In : Inverse Problems. 32, 3, 28 p., 035008.Research output: Contribution to journal › Article
Open Access
File
On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control
Lacey, A. A., Kavallaris, N. & Nikolopoulos, C., Jun 2016, In : Nonlinear Analysis: Theory, Methods and Applications. 138, p. 189–206 18 p.Research output: Contribution to journal › Article
Open Access
File
5
Citations
(Scopus)
20
Downloads
(Pure)
A Mathematical Model for Flash Sintering
Hewitt, I. J., Lacey, A. A. & Todd, R. I., 2 Oct 2015, In : Mathematical Modelling of Natural Phenomena. 10, 6, p. 77-89 13 p.Research output: Contribution to journal › Article
Open Access
File
20
Citations
(Scopus)
38
Downloads
(Pure)
Mathematical modelling of Tyndall star initiation
Lacey, A. A., Hennessy, M., Harvey, P. & Katz, R., Oct 2015, In : European Journal of Applied Mathematics. 26, 5, p. 615-645 31 p.Research output: Contribution to journal › Article
Open Access
File
1
Citation
(Scopus)
37
Downloads
(Pure)
Prizes
Heriot-Watt University Teaching Excellence Award for Global Learning and Teaching
Adamopoulou, Panagiota-Maria (Recipient), Ptashnyk, Mariya (Recipient), Johnston, Desmond Alexander (Recipient), Saemann, Christian (Recipient), Weston, Robert Andrew (Recipient), Breit, Dominic (Recipient), Kevin J. Painter (Recipient), Loisel, Sebastien (Recipient), Lacey, Andrew Alfred (Recipient), Neil MacIntyre (Recipient), Louie Robertson (Recipient) & Lee Duncan (Recipient), 23 Oct 2019
Prize: Other distinction