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Mathematics & Statistics hosts the Marine Population Modelling group which is engaged in research into topics surrounding marine resource modelling and ecology. Recent work has included important developments in the population modelling of marine species.

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Number of items: 29.

kerr, Lyndsay and Lamb, Wilson and Langer, Matthias (2023) Discrete fragmentation equations with time-dependent coefficients. Discrete and Continuous Dynamical Systems - series S. ISSN 1937-1632

Kerr, Lyndsay and Lamb, Wilson and Langer, Matthias (2020) Discrete fragmentation systems in weighted ℓ1 spaces. Journal of Evolution Equations, 20 (4). pp. 1419-1451. ISSN 1424-3199

Lamb, Wilson and McBride, Adam and Smith, Ann Louise (2013) Coagulation and fragmentation processes with evolving size and shape profiles : a semigroup approach. Discrete and Continuous Dynamical Systems - Series A, 33 (11/12). pp. 5177-5187. ISSN 1078-0947

Banasiak, Jacek and Lamb, Wilson and Langer, Matthias (2013) Strong fragmentation and coagulation with power-law rates. Journal of Engineering Mathematics, 82 (1). pp. 199-215. ISSN 0022-0833

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

Banasiak, Jacek and Lamb, Wilson (2012) Analytic fragmentation semigroups and continuous coagulation–fragmentation equations with unbounded rates. Journal of Mathematical Analysis and Applications, 391 (1). pp. 312-322. ISSN 0022-247X

Banasiak, Jacek and Lamb, Wilson (2012) The discrete fragmentation equations : semigroups, compactness and asynchronous exponential growth. Kinetic and Related Models, 5 (2). pp. 223-236. ISSN 1937-5093

Smith, Ann Louise and Lamb, Wilson and Langer, Matthias and McBride, Adam (2012) Discrete fragmentation with mass loss. Journal of Evolution Equations, 12 (1). pp. 181-201. ISSN 1424-3199

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

Banasiak, Jacek and Lamb, Wilson (2011) Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 141 (03). pp. 465-480.

Khan, Khaula Naeem and Lamb, Wilson and Mcbride, Adam (2011) Fractional calculus of periodic distributions. Fractional Calculus and Applied Analysis, 14 (2). pp. 260-283. ISSN 1314-2224

McGuiness, C.G. and Lamb, Wilson and Mcbride, Adam (2011) On a class of continuous fragmentation equations with singular initial conditions. Mathematical Methods in the Applied Sciences, 34. pp. 1181-1192. ISSN 0170-4214

Lamb, Wilson and Mcbride, Adam (2011) A distributional approach to fragmentation equations. Communications in Applied Analysis, 15. pp. 511-520. ISSN 1083-2564

McBride, A.C. and Smith, A.L. and Lamb, W. (2010) Strongly differentiable solutions of the discrete coagulation–fragmentation equation. Physica D: Nonlinear Phenomena, 239 (15). pp. 1436-1445.

Lamb, W. and McBride, A.C. and McGuinness, G.C. (2010) Fragmentation arising from a distributional initial condition. Mathematical Methods in the Applied Sciences, 33 (10). pp. 1183-1191. ISSN 0170-4214

Khan, Khaula Naeem and Lamb, Wilson and McBride, Adam C. (2009) Fractional transformations of generalised functions. Integral Transforms and Special Functions, 20 (6). pp. 471-490. ISSN 1065-2469

Banasiak, Jacek and Lamb, Wilson (2009) Coagulation, fragmentation and growth processes in a size structured population. Discrete and Continuous Dynamical Systems - Series B, 11 (3). pp. 563-585. ISSN 1531-3492

Belleni-Morante, A. and Lamb, W. and McBride, A.C. (2009) A photon transport problem with a time-dependent point source. Analysis and Applications, 7 (1). pp. 1-19. ISSN 0219-5305

Lamb, Wilson and Stewart, Iain W.; (2008) Stability for a class of equilibrium solutions to the coagulation-fragmentation equation. In: Numerical Analysis and Applied Mathematics. AIP Conference Proceedings, 1048 (1). American Institute of Physics, GRC, pp. 942-945. ISBN 9780735405769

Blair, P.N. and Lamb, W. and Stewart, I.W. (2007) Coagulation and fragmentation with discrete mass loss. Journal of Mathematical Analysis and Applications, 329 (2). pp. 1285-1302. ISSN 0022-247X

Belleni-Morante, A. and Lamb, W. and McBride, A.C. (2007) Photon transport problems involving a point source. Analysis and Applications, 5 (1). pp. 77-93. ISSN 0219-5305

Banasiak, J. and Lamb, W. (2006) On a coagulation and fragmentation equation with mass loss. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 136 (6). pp. 1157-1173.

Lamb, W. and McGhee, D.F. (2004) Eigenfunction expansions for generalized functions of several variables. Integral Transforms and Special Functions, 15 (3). pp. 239-249. ISSN 1065-2469

Lamb, W. (2004) Existence and uniqueness results for the continuous coagulation and fragmentation equation. Mathematical Methods in the Applied Sciences, 27 (6). pp. 703-721. ISSN 0170-4214

Blair, P.N. and Lamb, W. and Stewart, Iain W.; Constanda, C. and Ahues, M. and Largillier, A., eds. (2004) An application of semigroup theory to a fragmentation equation. In: Integral Methods in Science and Engineering. Birkhauser, Boston, USA, pp. 19-24. ISBN 081764377X

Lamb, W. and McBride, A.; Goldstein, G. and Nagel, R. and Romanelli, S., eds. (2003) On a continuous coagulation and fragmentation equation with a singular fragmentation kernel. In: Evolution Equations. Lecture Notes in Pure and Applied Mathematics, 234 . Marcel Dekker, New York, USA, pp. 281-298. ISBN 0824709756

Banasiak, Jacek and Lamb, Wilson (2003) On the application of substochastic semigroup theory to fragmentation models with mass loss. Journal of Mathematical Analysis and Applications, 284 (1). pp. 9-30. ISSN 0022-247X

Lamb, Wilson and Murdoch, Ian and Stewart, John (2001) On an operator identity central to projection operator methodology. Physica A: Statistical Mechanics and its Applications, 298 (1). pp. 121-139. ISSN 0378-4371

This list was generated on Fri Mar 29 04:43:47 2024 GMT.