Number of items: **27**.

## Article

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). ISSN 1539-3755

Banasiak, Jacek and Lamb, Wilson (2012) *Analytic fragmentation semigroups and continuous coagulationâ€“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). ISSN 1539-3755

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). -. ISSN 1751-8113

Banasiak, Jacek and Lamb, Wilson (2011) *Global strict solutions to continuous coagulationâ€“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.

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 coagulationâ€“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

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

Khan, K.N. and Lamb, W. and McBride, A.C. (2009) *Fractional transformations of generalised functions.* Integral Transforms and Special Functions, 20 (6). pp. 471-490. ISSN 1065-2469

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

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

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

## Book Section

Lamb, W. and Stewart, I.W. (2008) *Stability for a class of equilibrium solutions to the coagulation-fragmentation equation.* In: Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics. AIP Conference Proceedings, 1048 . American Institute of Physics, pp. 942-945. ISBN 978-0-7354-0576-9

Blair, P.N. and Lamb, W. and Stewart, Iain W. (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. (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

This list was generated on **Tue Jul 22 03:25:20 2014 BST**.