# Browse by Author or creator

**44**.

## Article

Alshaikhi, Abdulwahed S. and Grinfeld, Michael and Wilson, Stephen K.
(2022)
*Patterns formed in a thin film with spatially homogeneous and non-homogeneous Derjaguin disjoining pressure.*
European Journal of Applied Mathematics, 33 (5).
pp. 894-918.
ISSN 0956-7925

da Costa, Fernando P. and Grinfeld, Michael and Mottram, Nigel J. and Pinto, João T. and Xyxanadasy, Kedtysack
(2021)
*Steady state solutions in a model of a cholesteric liquid crystal sample.*
Afrika Matematika, 32.
pp. 645-672.

da Costa, F.P. and Drmota, M. and Grinfeld, M.
(2020)
*Modelling silicosis : structure of equilibria.*
European Journal of Applied Mathematics, 31 (6).
pp. 950-967.
ISSN 0956-7925

Grinfeld, Michael and Mulheran, Paul A.
(2020)
*On linear growth in COVID-19 cases.*
Computational and Mathematical Biophysics, 8 (1).
pp. 211-215.
ISSN 2544-7297

Crooks, Elaine C. M. and Grinfeld, Michael
(2020)
*Minimal travelling wave speed and explicit solutions in monostable reaction-diffusion equation.*
Electronic Journal of Qualitative Theory of Differential Equations.
ISSN 1417-3875
(In Press)

Walton, Joshua and McKay, Geoffrey and Grinfeld, Michael and Mottram, Nigel J.
(2020)
*Pressure-driven changes to spontaneous flow in active nematic liquid crystals.*
European Physical Journal E - Soft Matter, 43 (8).
51.
ISSN 1292-8941

Allen, D. and Grinfeld, M. and Mulheran, P. A.
(2019)
*Characterising submonolayer deposition via visibility graphs.*
Physica A: Statistical Mechanics and its Applications, 532.
121872.
ISSN 0378-4371

Allen, D. and Grinfeld, M. and Sasportes, R.
(2019)
*Point island dynamics under fixed rate deposition.*
Journal of Mathematical Analysis and Applications, 472 (2).
pp. 1716-1728.
ISSN 0022-247X

Crooks, Elaine C. M. and Grinfeld, Michael and McKay, Geoffrey
(2018)
*Minimality conditions for wave speed in anisotropic smectic C* liquid crystals.*
Mathematical Methods in the Applied Sciences, 41 (1).
pp. 88-102.
ISSN 0170-4214

Krcelic, Hrvojka and Grinfeld, Michael and Mulheran, Paul A.
(2018)
*Distributional fixed-point equations for island nucleation in one dimension : the inverse problem.*
Physical Review E, 98 (5).
052801.
ISSN 2470-0053

Siam, F.M. and Grinfeld, M. and Bahar, A. and Rahman, H.A. and Ahmad, H. and Johar, F.
(2018)
*A mechanistic model of high dose irradiation damage.*
Mathematics and Computers in Simulation, 151.
pp. 156-168.
ISSN 0378-4754

Blackman, J. A. and Grinfeld, M. and Mulheran, P. A.
(2015)
*Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition.*
Physics Letters A, 379 (47-48).
pp. 3146-3148.
ISSN 0375-9601

Grinfeld, Michael and Volkov, Stanislav and Wade, Andrew R.
(2015)
*Convergence in a multidimensional randomized Keynesian beauty contest.*
Advances in Applied Probability, 47 (1).
pp. 57-82.
ISSN 0001-8678

Grinfeld, Michael and Lamba, Harbir and Cross, Rodney
(2013)
*A mesoscopic stock market model with hysteretic agents.*
Discrete and Continuous Dynamical Systems - Series B, 18 (2).
403–415.
ISSN 1531-3492

Grinfeld, Michael and O'Neill, Kenneth Peter and Costin, Ovidiu and Park, H
(2013)
*Long-time behaviour of point islands under fixed rate deposition.*
Communications in Information and Systems, 13 (2).
pp. 183-200.
ISSN 2163-4548

Mulheran, Paul and O'Neill, Kenneth Peter and Grinfeld, Michael and Lamb, Wilson
(2012)
*Distributional fixed-point equations for island nucleation in one dimension : a retrospective approach for capture zone scaling.*
Physical Review E, 86 (5).
051606.
ISSN 2470-0053

Da Costa, F.P. and Grinfeld, Michael and Langer, Matthias and Mottram, Nigel J. and Pinto, J.T.
(2012)
*Kickback in nematic liquid crystals.*
Quarterly of Applied Mathematics, 70 (1).
pp. 99-110.
ISSN 0033-569X

O'Neill, Kenneth Peter and Grinfeld, Michael and Lamb, Wilson and Mulheran, Paul
(2012)
*Gap size and capture zone distributions in one-dimensional point island nucleation and growth simulations: asymptotics and models.*
Physical Review E, 85 (2).
021601.
ISSN 2470-0053

Grinfeld, M. and Lamb, W. and O'Neill, K. P. and Mulheran, P. A.
(2012)
*Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach.*
Journal of Physics A: Mathematical and Theoretical, 45 (1).
-.
015002.
ISSN 1751-8113

Grinfeld, Michael and Knight, Philip and Wade, Andrew
(2012)
*Rank-driven Markov processes.*
Journal of Statistical Physics, 146 (2).
pp. 378-407.
ISSN 0022-4715

Burns, Martin and Grinfeld, Michael
(2012)
*Steady-state solutions of a mass-conserving bistable equation with a saturating flux.*
Journal of Engineering Mathematics, 77.
pp. 163-180.
ISSN 0022-0833

Grinfeld, Michael and Knight, Philip A. and Wade, Andrew R.
(2011)
*Bak-Sneppen-type models and rank-driven processes.*
Physical Review E, 84 (4).
041124.
ISSN 2470-0053

Burns, Martin and Grinfeld, Michael
(2011)
*Steady state solutions of a bi-stable quasi-linear equation with saturating flux.*
European Journal of Applied Mathematics, 22 (4).
pp. 317-331.
ISSN 0956-7925

Bhowmik, S. K. and Duncan, D. B. and Grinfeld, M. and Lord, G. J.
(2011)
*Finite to infinite steady state solutions, bifurcations of an integro-differential equation.*
Discrete and Continuous Dynamical Systems - Series B, 16 (1).
pp. 57-71.
ISSN 1531-3492

Davies, J. and Grinfeld, M. and Webb, S. D.
(2011)
*Introduction to the special issue.*
Theory in Biosciences, 130 (1-3 sp).
pp. 1-3.
ISSN 1431-7613

Grinfeld, Michael and Langer, Matthias and Mottram, Nigel
(2011)
*Nematic viscosity estimation using director kickback dynamics.*
Liquid Crystals, 38.
pp. 981-987.
ISSN 0267-8292

Grinfeld, Michael and Burns, Martin
(2011)
*Well-posedness and stationary solutions.*
Communications in Applied Analysis, 15.
pp. 251-264.
ISSN 1083-2564

Da Costa, Fernando P. and Gartland Jr., Eugene C. and Grinfeld, Michael and Pinto, Joao T.
(2009)
*Bifurcation analysis of the twist-Freedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions.*
European Journal of Applied Mathematics, 20 (3).
pp. 269-287.
ISSN 0956-7925

Grinfeld, M. and Webb, S.D.
(2009)
*Structural instability in an autophosphorylating kinase switch.*
Mathematical Biosciences, 219 (2).
pp. 92-96.
ISSN 0025-5564

Da Costa, F.P. and Grinfeld, M. and Mottram, N.J. and Pinto, J.T.,
FCT Portugal (partly supported) (Funder)
(2009)
*Uniqueness in the Freedericksz transition with weak anchoring.*
Journal of Differential Equations, 246 (7).
pp. 2590-2600.
ISSN 0022-0396

Cross, Rod and Grinfeld, Michael and Lamba, Harbir
(2009)
*Hysteresis and economics - taking the economic past into account.*
IEEE Control Systems, 29 (1).
pp. 30-43.
ISSN 0272-1708

Grinfeld, M. and Lord, G.J.
(2008)
*Bifurcations in the regularized Ericksen bar model.*
Journal of Elasticity, 90 (2).
pp. 161-173.
ISSN 0374-3535

Cross, R. and Grinfeld, M. and Lamba, H. and Seaman, T.
(2007)
*Stylized facts from a threshold-based heterogeneous agent model.*
European Physical Journal B - Condensed Matter and Complex Systems, 57 (2).
pp. 213-218.
ISSN 1434-6028

Hutson, V. and Grinfeld, M.
(2006)
*Non-local dispersal and bistability.*
European Journal of Applied Mathematics, 17.
pp. 221-232.
ISSN 0956-7925

Berkolaiko, Gregory and Grinfeld, Michael
(2006)
*Multiplicity of periodic solutions in bistable equations.*
Proceedings A: Mathematical, Physical and Engineering Sciences, 462 (2067).
pp. 1001-1019.
ISSN 1471-2962

Grinfeld, M. and Novick-Cohen, A.
(2006)
*Some remarks on stability for a phase-field model with memory.*
Discrete and Continuous Dynamical Systems - Series A, 15 (4).
pp. 1089-1117.
ISSN 1078-0947

Grinfeld, M. and Hines, G. and Hutson, V. and Mischaikov, K. and Vickers, G. T.
(2005)
*Non-local dispersal.*
Differential Integral Equations, 18 (11).
pp. 1299-1320.
ISSN 0893-4983

Artstein, Z. and Grinfeld, M.
(2002)
*Ergodicity and mixing via Young measures.*
Ergodic Theory and Dynamical Systems, 22 (4).
pp. 1001-1015.
ISSN 0143-3857

Duffy, B.R. and Grinfeld, M. and Freitas, P.
(2002)
*Memory driven instability in a diffusion process.*
SIAM Journal on Mathematical Analysis, 33 (5).
pp. 1090-1106.
ISSN 0036-1410

Da Costa, F.P. and Wattis, J.A.D. and Grinfeld, M.
(2002)
*A hierarchical cluster system based on Horton-Strahler rules for river networks.*
Studies in Applied Mathematics, 109 (3).
pp. 163-204.
ISSN 0022-2526

Da Costa, F.P. and Grinfeld, M. and Mcleod, J.B.
(2001)
*Unimodality of steady state distributions of growing cell populations.*
Journal of Evolving Equations, 1 (4).
pp. 405-409.
ISSN 1424-3199

## Book Section

Cross, R. and Grinfeld, M. and Lamba, H. and Pittock, A.;
Mortell, M.P. and O'Malley, R.E. and Pokrovskii, A.K. and Sobolev, V., eds.
(2005)
*Rationality, frustration minimisation, hysteresis and the El Farol problem.*
In:
Singular Perturbations and Hysteresis.
SIAM, Philadelphia, pp. 61-72.
ISBN 978-0-898715-97-2

## Conference or Workshop Item

McPike, Ruaraidh and Heath, Mike and Grinfeld, Michael and Wolfram, Marie-Therese
(2018)
*On a mean field game formulation of fish stock exploitation.*
In: National Meeting of the Portuguese Mathematical Society, 2018-07-09 - 2018-07-11, Polytechnic Institute of Bragança.

Grinfeld, M.
(2008)
*Bak-Sneppen Type Models and Coagulation-Fragmentation.*
In: International Conference on Numerical Analysis and Applied Mathematics, 2008-09-01.

**Mon Mar 27 07:03:18 2023 BST**.