Contact Details
| Room No. | LT1030 (L933) |
|---|---|
| Telephone | +44 (0)141 548 3651 |
| Fax | +44 (0)141 548 3345 |
| m.grinfeld@strath.ac.uk |
Research Interests
Continuum Models of Phase Transitions
I am interested in phase transitions in various types of materials, such as alloys and liquid crystals, and in particular in models with nonstandard diffusion mechanisms and nonlocal terms.
Mathematics in Biology and Medicine
I am trying to work out what mathematics can add to the understanding of complex bilogical systems , such as the immune system (in the context of autoimmune disease) and stress-activated tissue control systems (in the context of non-targeted irradiation effects).
Mathematical Modelling in Economics
We (R. Cross, H. Lamba and myself) are trying to create a psychologically realistic model of the stock market, whoch takes into account memory effects as well.
Topological Techniques in Dynamical Systems
I have been a long-standing interest in Conley Index Theory and am in a permanet process of writing a book on it. In particular, I am interested in changes in dynamics in gradient systems under a change of metric, and in working out an index theory that applies to integro-differential equations.
Mathematical Modelling in Economics
We (R. Cross, H. Lamba and myself) are trying to create a psychologically realistic model of the stock market, whoch takes into account memory effects as well.
Recent Publications
- Well-posed and stationary solutions
- Burns M and Grinfeld M
University of Strathclyde Mathematics and Statistics Research Report, 2010, #16, 1-13. - Steady State Solutions of a Bistable Quasilinear Equation with Saturating Flux
- Burns M and Grinfeld M
University of Strathclyde Mathematics and Statistics Research Report, 2010, #4, 1-12. - Uniqueness in the Freedericksz transition with weak anchoring
- Grinfeld M, Mottram NJ, Da Costa FP and Pinto JT
Journal of Differential Equations, 2009, 246, 2590-2600. - Hysteresis and economics - taking the economic past into account
- Grinfeld M, Cross R and Lamba H
IEEE Control Systems Magazine, 2009, 29, 30-43. - Bifurcation analysis of the twist-Freedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions
- Da Costa FP, Gartland EC, Grinfeld M and Pinto JT
European Journal of Applied Mathematics, 2009, 20, 269-287.
View all of Michael Grinfeld's Publications.