Michael Grinfeld

Dr

  • United Kingdom

20012019
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Research Output 2001 2019

2019

Point island dynamics under fixed rate deposition

Allen, D., Grinfeld, M. & Sasportes, R., 15 Apr 2019, In : Journal of Mathematical Analysis and Applications. 472, 2, p. 1716-1728 13 p.

Research output: Contribution to journalArticle

Deposition rates
Dynamical systems
Globalization
Center Manifold
Asymptotics of Solutions
2018
3 Citations (Scopus)

A mechanistic model of high dose irradiation damage

Siam, F. M., Grinfeld, M., Bahar, A., Rahman, H. A., Ahmad, H. & Johar, F., 30 Sep 2018, In : Mathematics and Computers in Simulation. 151, p. 156-168 13 p.

Research output: Contribution to journalArticle

Irradiation
Dosimetry
Dose
Damage
Cells
Open Access
File
Fixed-point Equation
Fragmentation
Inverse problems
Nucleation
One Dimension

Minimality conditions for wave speed in anisotropic smectic C* liquid crystals

Crooks, E. C. M., Grinfeld, M. & McKay, G., 21 Dec 2018, In : Mathematical Methods in the Applied Sciences . 41, 1, p. 88-102 15 p.

Research output: Contribution to journalArticle

Open Access
File
Minimality
Wave Speed
Liquid Crystal
Liquid crystals
Anisotropy
2015
1 Citation (Scopus)

Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition

Blackman, J. A., Grinfeld, M. & Mulheran, P. A., 18 Dec 2015, In : Physics Letters A. 379, 47-48, p. 3146-3148 3 p.

Research output: Contribution to journalArticle

Open Access
File
Convolution
fragmentation
Nucleation
data simulation
Substrates
1 Citation (Scopus)

Convergence in a multidimensional randomized Keynesian beauty contest

Grinfeld, M., Volkov, S. & Wade, A. R., 31 Mar 2015, In : Advances in Applied Probability. 47, 1, p. 57-82 26 p.

Research output: Contribution to journalArticle

Lyapunov functions
Set theory
Coincident
Barycentre
Lyapunov Function
2013
4 Citations (Scopus)

A mesoscopic stock market model with hysteretic agents

Grinfeld, M., Lamba, H. & Cross, R., Mar 2013, In : Discrete and Continuous Dynamical Systems - Series B. 18, 2, p. 403–415 13 p.

Research output: Contribution to journalArticle

Market Model
Stock Market
Volatility Clustering
Fokker Planck equation
Fokker-Planck Equation

Long-time behaviour of point islands under fixed rate deposition

Grinfeld, M., O'Neill, K. P., Costin, O. & Park, H., 2013, In : Communications in Information and Systems. 13, 2, p. 183-200 18 p.

Research output: Contribution to journalArticle

2012
12 Citations (Scopus)

Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach

Grinfeld, M., Lamb, W., O'Neill, K. P. & Mulheran, P. A., 13 Jan 2012, In : Journal of Physics A: Mathematical and Theoretical. 45, 1, p. - 10 p., 015002.

Research output: Contribution to journalArticle

Film growth
Fragmentation
Monolayers
fragmentation
Nucleation
8 Citations (Scopus)

Distributional fixed-point equations for island nucleation in one dimension: a retrospective approach for capture zone scaling

Mulheran, P., O'Neill, K. P., Grinfeld, M. & Lamb, W., 15 Nov 2012, In : Physical Review E. 86, 5, 8 p., 051606.

Research output: Contribution to journalArticle

File
Fixed-point Equation
Fragmentation
Nucleation
One Dimension
nucleation
12 Citations (Scopus)

Gap size and capture zone distributions in one-dimensional point island nucleation and growth simulations: asymptotics and models

O'Neill, K. P., Grinfeld, M., Lamb, W. & Mulheran, P., Feb 2012, In : Physical Review E. 85, 2, 8 p., 021601.

Research output: Contribution to journalArticle

Open Access
File
Nucleation
nucleation
Simulation
Fragmentation
simulation
1 Citation (Scopus)

Kickback in nematic liquid crystals

Da Costa, F. P., Grinfeld, M., Langer, M., Mottram, N. J. & Pinto, J. T., Mar 2012, In : Quarterly of Applied Mathematics . 70, 1, p. 99-110 12 p.

Research output: Contribution to journalArticle

Open Access
File
Nematic liquid crystals
Nematic Liquid Crystal
Linear partial differential equation
Decoupling
Partial differential equations
7 Citations (Scopus)

Rank-driven Markov processes

Grinfeld, M., Knight, P. & Wade, A., Jan 2012, In : Journal of Statistical Physics. 146, 2, p. 378-407 30 p.

Research output: Contribution to journalArticle

File
Markov processes
Markov Process
Bak-Sneppen Model
fitness
Markov chains

Steady-state solutions of a mass-conserving bistable equation with a saturating flux

Burns, M. & Grinfeld, M., 2012, In : Journal of Engineering Mathematics. 77, p. 163-180 18 p.

Research output: Contribution to journalArticle

File
Steady-state Solution
Order Parameter
Fluxes
Interval
Bifurcation Diagram
2011
7 Citations (Scopus)

Bak-Sneppen-type models and rank-driven processes

Grinfeld, M., Knight, P. A. & Wade, A. R., 18 Oct 2011, In : Physical Review E. 84, 4, 5 p., 041124.

Research output: Contribution to journalArticle

File
Bak-Sneppen Model
Self-organized Criticality
Long-time Behavior
Markov Process
Stochastic Model
3 Citations (Scopus)

Finite to infinite steady state solutions, bifurcations of an integro-differential equation

Bhowmik, S. K., Duncan, D. B., Grinfeld, M. & Lord, G. J., Jul 2011, In : Discrete and Continuous Dynamical Systems - Series B. 16, 1, p. 57-71 15 p.

Research output: Contribution to journalArticle

File
Integrodifferential equations
Bifurcation (mathematics)
Steady-state Solution
Stationary Solutions
Integro-differential Equation

Introduction to the special issue

Davies, J., Grinfeld, M. & Webb, S. D., 2011, In : Theory in Biosciences. 130, 1-3 special issue, p. 1-3 3 p.

Research output: Contribution to journalEditorial

4 Citations (Scopus)

Nematic viscosity estimation using director kickback dynamics

Grinfeld, M., Langer, M. & Mottram, N., 2011, In : Liquid Crystals. 38, p. 981-987 7 p.

Research output: Contribution to journalArticle

Elastic constants
Viscosity
viscosity
Eigenvalues and eigenfunctions
Switches
21 Citations (Scopus)

Steady state solutions of a bi-stable quasi-linear equation with saturating flux

Burns, M. & Grinfeld, M., Aug 2011, In : European Journal of Applied Mathematics. 22, 4, p. 317-331 15 p.

Research output: Contribution to journalArticle

Quasilinear Equations
Steady-state Solution
Linear equations
Fluxes
Allen-Cahn Equation
2 Citations (Scopus)

Well-posedness and stationary solutions

Grinfeld, M. & Burns, M., 2011, In : Communications in Applied Analysis. 15, p. 251-264

Research output: Contribution to journalArticle

File
Stationary Solutions
Well-posedness
Quasilinear Parabolic Equations
Variational Inequalities
Existence and Uniqueness
2009
3 Citations (Scopus)
Open Access
File
Nematic liquid crystals
Nematic Liquid Crystal
Bifurcation Analysis
Twist
Ground state
28 Citations (Scopus)

Hysteresis and economics - taking the economic past into account

Cross, R., Grinfeld, M. & Lamba, H., 19 Jan 2009, In : IEEE Control Systems. 29, 1, p. 30-43 14 p.

Research output: Contribution to journalArticle

Open Access
File
Hysteresis
Economics
Memory Effect
Economic Model
Macroeconomics
1 Citation (Scopus)

Structural instability in an autophosphorylating kinase switch

Grinfeld, M. & Webb, S. D., Jun 2009, In : Mathematical Biosciences. 219, 2, p. 92-96 5 p.

Research output: Contribution to journalArticle

Open Access
File
Bistability
Switch
phosphotransferases (kinases)
Degradation
Phosphotransferases
6 Citations (Scopus)

Uniqueness in the Freedericksz transition with weak anchoring

Da Costa, F. P., Grinfeld, M., Mottram, N. J., Pinto, J. T. & FCT Portugal (partly supported) (Funder), 1 Apr 2009, In : Journal of Differential Equations. 246, 7, p. 2590-2600 11 p.

Research output: Contribution to journalArticle

Open Access
File
Liquid Crystal
Uniqueness
Change of Variables
Nonlinear Boundary Value Problems
Nonlinear Boundary Conditions
2008

Bak-Sneppen Type Models and Coagulation-Fragmentation

Grinfeld, M., 2008, p. 922-925. 3 p.

Research output: Contribution to conferencePaper

Coagulation
Fragmentation
Markov chain
Model

Bifurcations in the regularized Ericksen bar model

Grinfeld, M. & Lord, G. J., 28 Feb 2008, In : Journal of Elasticity. 90, 2, p. 161-173 13 p.

Research output: Contribution to journalArticle

Open Access
File
Bifurcation (mathematics)
Boundary conditions
2007
12 Citations (Scopus)

Stylized facts from a threshold-based heterogeneous agent model

Cross, R., Grinfeld, M., Lamba, H. & Seaman, T., May 2007, In : European Physical Journal B - Condensed Matter and Complex Systems. 57, 2, p. 213-218 6 p.

Research output: Contribution to journalArticle

Open Access
File
volatility
kurtosis
thresholds
Switches
decay
2006
2 Citations (Scopus)

Multiplicity of periodic solutions in bistable equations

Berkolaiko, G. & Grinfeld, M., 8 Mar 2006, In : Proceedings A: Mathematical, Physical and Engineering Sciences. 462, 2067, p. 1001-1019 18 p.

Research output: Contribution to journalArticle

Open Access
File
Magnetization
Periodic Solution
Multiplicity
Bifurcation
Magnetic fields
23 Citations (Scopus)

Non-local dispersal and bistability

Hutson, V. & Grinfeld, M., 30 Apr 2006, In : European Journal of Applied Mathematics. 17, p. 221-232 11 p.

Research output: Contribution to journalArticle

Open Access
File
Bistability
Semiflow
Materials Science
Initial value problems
Diffusion Model
1 Citation (Scopus)

Some remarks on stability for a phase-field model with memory

Grinfeld, M. & Novick-Cohen, A., 2006, In : Discrete and Continuous Dynamical Systems - Series A. 15, 4, p. 1089-1117 28 p.

Research output: Contribution to journalArticle

Open Access
File
Polymer Melts
Phase Field Model
Memory Effect
Glass Transition
Polymer melts
2005

Non-local dispersal

Grinfeld, M., Hines, G., Hutson, V., Mischaikov, K. & Vickers, G. T., 2005, In : Differential Integral Equations. 18, 11, p. 1299-1320 21 p.

Research output: Contribution to journalArticle

Open Access
File
Materials Science
Materials science
Reaction-diffusion Equations
Integral Operator
Partial differential equations

Rationality, frustration minimisation, hysteresis and the El Farol problem

Cross, R., Grinfeld, M., Lamba, H., Pittock, A., Mortell, M. P. (ed.), O'Malley, R. E. (ed.), Pokrovskii, A. K. (ed.) & Sobolev, V. (ed.), 2005, Singular Perturbations and Hysteresis. Philadelphia, p. 61-72 11 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Frustration
Rationality
Hysteresis
Singular Perturbation
Asymptotic Theory
2002
7 Citations (Scopus)

A hierarchical cluster system based on Horton-Strahler rules for river networks

Da Costa, F. P., Wattis, J. A. D. & Grinfeld, M., 2002, In : Studies in Applied Mathematics. 109, 3, p. 163-204 41 p.

Research output: Contribution to journalArticle

Coagulation
Rivers
Self-similar Solutions
Behavior of Solutions
Differential System

Ergodicity and mixing via Young measures

Artstein, Z. & Grinfeld, M., 2002, In : Ergodic Theory and Dynamical Systems. 22, 4, p. 1001-1015 14 p.

Research output: Contribution to journalArticle

Young Measures
Ergodicity
Iterate
Uniqueness
Empirical Measures
18 Citations (Scopus)

Memory driven instability in a diffusion process

Duffy, B. R., Grinfeld, M. & Freitas, P., 2002, In : SIAM Journal on Mathematical Analysis. 33, 5, p. 1090-1106 16 p.

Research output: Contribution to journalArticle

Diffusion Process
Orbits
Data storage equipment
Fluids
Center Manifold Reduction
2001
8 Citations (Scopus)

Unimodality of steady state distributions of growing cell populations

Da Costa, F. P., Grinfeld, M. & Mcleod, J. B., 31 Dec 2001, In : Journal of Evolving Equations. 1, 4, p. 405-409 4 p.

Research output: Contribution to journalArticle

Open Access
File
Unimodality
Steady-state Distribution
Cell Population
Stationary Distribution
Probability density function