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Professor Jonathan Wattis

Professor of Mathematical Sciences, Faculty of Science

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Research Summary

Mathematical modelling, nonlinear waves in discrete and continuous systems, kinetics of cluster formation, kinetics of phase transitions and polymerisation, DNA condensation, mesoscopic modelling of… read more

Recent Publications

  • S AHMED and H SUSANTO, 2017. Band-gaps in long Josephson junctions with periodic phase-shifts Phys Lett A.
  • WATTIS, JONATHAN A. D., 2017. IMA JOURNAL OF APPLIED MATHEMATICS. 82(3), 681-696
  • SMITH, WR and WATTIS, JAD, 2016. European Journal of Applied Mathematics. 27, 23-41
  • PEARSON T, WATTIS JA, KING JR, MACDONALD IA and MAZZATTI DJ, 2016. Bulletin of mathematical biology. 78(6), 1189-217

Current Research

Mathematical modelling, nonlinear waves in discrete and continuous systems, kinetics of cluster formation, kinetics of phase transitions and polymerisation, DNA condensation, mesoscopic modelling of DNA. Asymptotic analysis, coarse-graining techniques,&n

  • S AHMED and H SUSANTO, 2017. Band-gaps in long Josephson junctions with periodic phase-shifts Phys Lett A.
  • WATTIS, JONATHAN A. D., 2017. IMA JOURNAL OF APPLIED MATHEMATICS. 82(3), 681-696
  • SMITH, WR and WATTIS, JAD, 2016. European Journal of Applied Mathematics. 27, 23-41
  • PEARSON T, WATTIS JA, KING JR, MACDONALD IA and MAZZATTI DJ, 2016. Bulletin of mathematical biology. 78(6), 1189-217
  • BROWN, D. M., WILLIAMS, H., RYAN, K. J. P., WILSON, T. L., DANIEL, Z. C. T. R., MAREKO, M. H. D., EMES, R. D., HARRIS, D. W., JONES, S., WATTIS, J. A. D., DRYDEN, I. L., HODGMAN, T. C., BRAMELD, J. M. and PARR, T., 2016. SCIENTIFIC REPORTS. 6,
  • PARR, T., RYAN, K., WILLIAMS, H., HARRIS, D., BROWN, D., MAREKO, M., EMES, R., GILES, T., WATTIS, J., DRYDEN, I., LU, C., HODGMAN, C. and BRAMELD, J., 2015. PROCEEDINGS OF THE NUTRITION SOCIETY. 74(OCE5), E278-E278
  • PRATT, AC, WATTIS, JAD and SALTER, AM, 2015. Mathematical Biosciences,. 262, 167-181
  • PURVIS, B. E., REEVE, L., WATTIS, J. A. D. and MAO, Y., 2015. PHYSICAL REVIEW E. 91(2),
  • PRATT, ADRIAN C., WATTIS, JONATHAN A. D. and SALTER, ANDREW M., 2015. MATHEMATICAL BIOSCIENCES. 265, 101-103
  • REEVE, LOUISE and WATTIS, JONATHAN A. D., 2015. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 48(23),
  • ALI, AMIR, SUSANTO, HADI and WATTIS, JONATHAN A. D., 2015. JOURNAL OF MATHEMATICAL PHYSICS. 56(5),
  • WATTIS, JONATHAN A. D., GORDOA, PILAR R. and PICKERING, ANDREW, 2015. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. 28(1-3), 138-150
  • QI, QI, WATTIS, JONATHAN A. D. and BYRNE, HELEN M., 2014. BULLETIN OF MATHEMATICAL BIOLOGY. 76(6), 1241-1269
  • GORDOA, P. R., PICKERING, A. and WATTIS, J. A. D., 2014. APPLIED MATHEMATICS AND COMPUTATION. 237, 77-84
  • PEARSON, T., WATTIS, J. A. D., KING, J. R., MACDONALD, I. A. and MAZZATTI, D. J., 2014. BULLETIN OF MATHEMATICAL BIOLOGY. 76(9), 2091-2121
  • WATTIS, JONATHAN A. D. and JAMES, LAUREN M., 2014. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 47(34),
  • PICKERING, A., GORDOA, P.R. and WATTIS, J.A.D., 2013. Communications in Nonlinear Science and Numerical Simulation. n/a(n/a), n/a
  • HIRT, B. V., WATTIS, J. A. D. and PRESTON, S. P., 2013. J. Math. Biol..
  • A ALI and H SUSANTO, 2013. Rapidly oscillating ac-drived long Josephson junctions with phase-shifts physica d. 246, 15-22
  • HIRT, B.V., WATTIS, J.A.D., PRESTON, S.P. and LAUGHTON, C.A., 2012. Journal of Theoretical Biology. 295, 9–22
  • WATTIS, JONATHAN A. D., 2012. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 45(42),
  • HAMER, MATTHEW J., WATTIS, JONATHAN A. D. and GRAHAM, RICHARD S., 2012. SOFT MATTER. 8(44), 11396-11408
  • COVENEY, PETER V., SWADLING, JACOB B., WATTIS, JONATHAN A. D. and GREENWELL, H. CHRISTOPHER, 2012. CHEMICAL SOCIETY REVIEWS. 41(16), 5430-5446
  • ALLEN, E., MOING, A., WATTIS, J.A.D., LARSON, A., MAUCOURT, M., GRAHAM, I.A., ROLIN, D. and HOOKS, M.A., 2011. Biochemical Journal. 437, 505-513
  • ALI, A., SUSANTO, H. and WATTIS, J.A.D., 2011. SIAM Journal on Applied Mathematics. 71(1), 242-269
  • DUDUIALÄ‚, C.-I., WATTIS, J.A.D. and LAUGHTON, C.A., 2011. Physica D: Nonlinear Phenomena. 240(16), 1254-1261
  • ALLEN, E, MOING, A, WATTIS, JAD, LARSON, T, MAUCOURT, M, GRAHAM, IA, ROLIN, D and HOOKS, MA, 2011. Biochemical Journal. 437, 505-513
  • WATTIS, J.A.D., PICKERING, A. and GORDOA, P.R., 2011. Physica D: Nonlinear Phenomena. 240(7), 547-553
  • WATTIS, J.A.D., 2011. Origins of Life and Evolution of Biospheres. 41(2), 133-173
  • AHMAD, S., SUSANTO, H., WATTIS, J.A.D. and GOLDOBIN, E., 2010. PHYSICAL REVIEW -SERIES B-. VOL 82(NUMB 17), 174504
  • MJ HAMER, JAD WATTIS, RS GRAHAM, 2010. Journal of Non-Newtonian Fluid Mechanics. 165, 1294-1301 (In Press.)
  • MA HOOKS, E ALLEN, JAD WATTIS, 2010. Biochem Soc Trans. 38, 1230-1233
  • PEARSON, T., WATTIS, J.A.D., O'MALLEY, B., PICKERSGILL, L., BLACKBOURN, H., JACKSON, K.G. and BYRNE, H.M., 2009. Journal of Mathematical Biology. 58(6), 845-880
  • AHMAD, S., SUSANTO, H. and WATTIS, J.A.D., 2009. Existence and stability analysis of finite 0-pi-0 Josephson junctions (9 pages). VOL 80(NUMB 6), 064515
  • YI, X., WATTIS, J.A.D., SUSANTO, H. and CUMMINGS, L.J., 2009. Discrete breathers in a two-dimensional spring-mass lattice. VOL 42(NUMB 35), 355207
  • TINDALL, M J, WATTIS, J A D, O'MALLEY, B J, PICKERSGILL, L and JACKSON, K G, 2009. A continuum receptor model of hepatic lipoprotein metabolism. Journal of theoretical biology. 257(3), 371-84
  • BAND, L. R., CUMMINGS, L. J., WATERS, S. L. and WATTIS, J. A., 2009. J. Math. Biol.. 59(6), 809-840
  • CI DUDUIALA, JAD WATTIS, IL DRYDEN, CA LAUGHTON, 2009. Nonlinear breathing modes at a defect site in DNA Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 80, (In Press.)
  • SIGGERS, JENNIFER H, WATERS, SARAH, WATTIS, JONATHAN and CUMMINGS, LINDA, 2009. Flow dynamics in a stented ureter. Mathematical medicine and biology : a journal of the IMA. 26(1), 1-24
  • WATTIS, J.A.D., 2009. The modified Becker-Doring system with aggregation-dominated rate coefficients. VOL 42(NUMB 4), 045002
  • MIMOUNI, Z. and WATTIS, J. A., 2009. Similarity solution of coagulation equation with an inverse kernel. VOL 388(NUMBER 7), 1067-1073
  • WATERS, S.L., HEATON, K., SIGGERS, J.H., BAYSTON, R., BISHOP, M., CUMMINGS, L.J., GRANT, D.M., OLIVER, J.M. and WATTIS, J.A.D., 2008. Ureteric stents: investigating flow and encrustation. Proceedings of the Institute of Mechanical Engineers Part H Journal of Engineering in Medicine. 222(4), 551-561
  • WATTIS, J A D, O'MALLEY, B, BLACKBURN, H, PICKERSGILL, L, PANOVSKA, J, BYRNE, H M and JACKSON, K G, 2008. Mathematical model for low density lipoprotein (LDL) endocytosis by hepatocytes. Bulletin of mathematical biology. 70(8), 2303-33
  • BUTT, I.A. and WATTIS, J.A.D., 2007. Journal of Physics A : Mathematical and Theoretical. 40(6), 1239-1264
  • WATTIS, J.A.D. and COVENEY, P.V., 2007. Journal of Physical Chemistry. 111, 9546-9562
  • DA COSTA, F.P., PINTO, J.T., SASPORTES, R., VAN ROESSEL, H. and WATTIS, J.A.D., 2007. OBERWOLFACH REPORTS. VOL 4(NUMB 4), 2754-2756
  • BUTT, I.A. and WATTIS, J.A.D., 2007. Physica D - Nonlinear Phenomena. 231(2), 165-179
  • MALTSEV, E, WATTIS, JAD and BYRNE, HM, 2006. Phys Rev E. 74, 011904
  • MALTSEV, E, WATTIS, JAD and BYRNE, HM, 2006. Phys Rev E. 74, 041918
  • WATTIS, JAD, 2006. Physica D - Nonlinear Phenomena. 222, 1-20
  • COVENEY, P. V. and WATTIS, J. A. D., 2006. Molecular Physics. VOL 104(NUMB 1), 177-185
  • WATTIS, JAD, 2006. J Phys A; Math Gen. 39, 7283-7298
  • DA COSTA, FP, VAN ROESSEL, H and WATTIS, JAD, 2006. Long-time behaviour and self-similarity in a coagulation equation with input of monomers. Markov Processes and Related Fields. 12, 367-398
  • BUTT, I.A. and WATTIS, J.A.D., 2006. Journal of Physics A: Mathematical and General. VOL 39(NUMB 18), 4955-4984
  • SIGGERS,J.H., CUMMINGS,L., WATERS,S. and WATTIS,J., 2005. Ureteric stents: investigating flow and encrustation In: Biofilms: Persistence and Ubiquity. 205-209
  • SIGGERS, J.H., CUMMINGS, L.J., WATERS, S.L. and WATTIS, J.A., 2005. The effect of ureteric stents on urine flow In: Proceedings ASME Bioengineering conference, 2005.
  • WATTIS, J. A. D. and COVENEY, P. V., 2005. INTERNATIONAL JOURNAL OF ASTROBIOLOGY. VOL 4(ISSU 1), 62-74
  • WATTIS, J. A. and COVENEY, P. V., 2005. ORIGINS OF LIFE AND EVOLUTION OF THE BIOSPHERE. VOL 35(NUMBER 3), 243-273
  • WATTIS, J. A., MCCARTNEY, D. G. and GUDMUNDSSON, T., 2004. Journal of Engineering Mathematics. VOL 49(NUMBER 2), 113-131
  • WATTIS, J.A.D., 2004. Journal of Physics A: Mathematical and General. VOL 37(PART 32), 7823-7842
  • WATTIS, J.A.D., 2004. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical, and Engineering Sciences. 362(1820), 1461-1477
  • CUMMINGS, L.J., WATERS, S.L., WATTIS, J.A.D. and GRAHAM, S.J., 2004. Journal of Mathematical Biology. VOL 49(NUMB 1), 56-82
  • BOLTON, C.D. and WATTIS, J.A.D., 2004. Journal of Physics A: Mathematical and General. VOL 37(PART 6), 1971-1986
  • WATTIS, J. A. D., BOLTON, C. D. and COVENEY, P. V., 2004. Journal of Physics A: Mathematical and General. VOL 37(PART 8), 2895-2912
  • BOLTON, C.D. and WATTIS, J.A.D., 2003. Journal of Physics A: Mathematical and General. VOL 36(PART 29), 7859-7888
  • BOLTON, C.D. and WATTIS, J.A.D., 2003. Journal of Physical Chemistry B. VOL 107(PART 29), 7126-7134
  • BYATT-SMITH, J. G., LACEY, A. A., PARKER, D. F., SIMPSON, D., SMITH, W. R. and WATTIS, J. A. D., 2003. Mathematical modelling of homeless populations The Mathematical Scientist. VOL 28(PART 1), 1-12
  • KING, J.R. and WATTIS, J.A.D., 2002. Journal of Physics A: Mathematical and General. 35(6), 1357-1380
  • BOLTON, C.D. and WATTIS, J.A.D., 2002. Journal of Physics A: Mathematical and General. VOL 35(PART 14), 3183-3202
  • DA COSTA, F. P., GRINFELD, M. and WATTIS, J. A. D., 2002. Studies in Applied Mathematics. VOL 109(PART 3), 163-204
  • WATTIS, J.A., HARRIS, S.A., GRINDON, C.R. and LAUGHTON, C.A., 2001. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 63(6), 061903/1-11
  • HARRIS, J. R., WATTIS, J. A. and WOOD, J. V., 2001. Acta Materialia. VOL 49(NUMBER 19), 3991-4003
  • WATTIS, J. A. D. and COVENEY, P. V., 2001. Journal of Physics A: Mathematical and General. VOL 34(PART 41), 8697-8726
  • TEW, R. B. and WATTIS, J. A. D., 2001. Journal of Physics A: Mathematical and General. VOL 34(PART 36), 7163-7180
  • WATTIS, J.A.D., 2001. Physics Letters A. VOL 284(NUMBER 1), 16-22
  • WATTIS, J. A. D., 2000. Journal of Physics A: Mathematical and General. VOL 33(PART 33), 5925-5944
  • DAVIES, S.C., KING, J.R. and WATTIS, J.A.D., 1999. Journal of Engineering Mathematics. 36(1-2), 57-88
  • DAVIES, S.C., KING, J.R. and WATTIS, J.A.D., 1999. Journal of Physics A: Mathematical and General. 32(44), 7745-7764
  • WATTIS, J. A. D. and COVENEY, P. V., 1999. Physical Chemistry Chemical Physics. VOL 1(NUMB 9), 2163-2176
  • COVENEY, P. V. and WATTIS, J. A. D., 1999. Journal of Physics A: Mathematical and General. VOL 32(NUMBER 41), 7145-7152
  • WATTIS, J. A. D., 1999. Journal of Physics A: Mathematical and General. VOL 32(NUMBER 49), 8755-8784
  • WATTIS, J. A. D. and COVENEY, P. V., 1999. Journal of Physical Chemistry B. VOL 103(NUMBER 21), 4231-4250
  • WATTIS, J.A.D. and KING, J.R., 1998. Journal of Physics A: Mathematical and General. 31(34), 7169-7190
  • WATTIS, J. A. D., 1998. Journal of Physics A: Mathematical and General. VOL 31(NUMBER 14), 3301-3324
  • COVENEY, P. V. and WATTIS, J. A. D., 1998. Journal of the Chemical Society. Faraday Transactions. VOL 94(NUMBER 2), 233-246
  • KING, J.R. and WATTIS, J.A., 1997. 'Mud-cracking' in a Latex paint film, Report from European ÌÇÐÄÔ­´´ Group with Industry 1997, University of Bath
  • WATTIS, J. A. D. and COVENEY, P. V., 1997. Journal of Chemical Physics. VOL 106(NUMBER 22), 9122-9140
  • WATTIS, J.A., 1996. Nonlinearity. 9, 1583-1598
  • WATTIS, J. A. D., 1996. Journal of Physics A: Mathematical and General. VOL 29(NUMBER 24), 8139-8158
  • COVENEY, P. V. and WATTIS, J. A. D., 1996. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. VOL 452(MNTH 9), 2079-2102
  • WATTIS, J. A. D., 1995. Physica D - Nonlinear Phenomena. VOL 82(NUMBER 4), 333
  • WATTIS, J. A. D., 1994. Physica Scripta. VOL 50(NUMBER 3), 238
  • FRIESECKE, G. and WATTIS, J. A. D., 1994. Communications in Mathematical Physics. VOL 161(NUMBER 2), 391
  • WATTIS, J. A. D., 1993. Journal of Physics A: Mathematical and General. VOL 26(NUMBER 5), 1193
  • DUNCAN, D. B., EILBECK, J. C., FEDDERSEN, H. and WATTIS, J. A. D., 1993. Physica D - Nonlinear Phenomena. VOL 68(NUMBER 1), 1
  • FLYTZANIS, N., MALOMED, B. A. and WATTIS, J. A. D., 1993. Physics Letters A. VOL 180(NUMBER 1/2), 107
  • WATTIS, J.A. and DUNCAN, D.B., 1992. Approximations to solitary waves on lattices, use of identities and the Lagrangian formulation Chaos, Solitons and Fractals. 505-518
  • DUNCAN, D.B., WALSHAW, C.H. and WATTIS, J.A., 1991. A symplectic solver for lattice equations In: Nonlinear Coherent Structures in Physics and Biology. 151-158
  • ALI, AMIR, SUSANTO, HADI and WATTIS, JONATHAN A. D., PHYSICA D-NONLINEAR PHENOMENA. 246(1), 15-22
  • WATTIS, LOUISE, GREEN, EILEEN and RADFORD, JILL, GENDER PLACE AND CULTURE. 18(6), 749-767

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