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Dr Boris Baeumer

Office: Science III, room 213
Phone: 479-7763
Email: bbaeumer@maths.otago.ac.nz


Curriculum Vitae

BORIS BAEUMER has been a senior lecturer in the Department of Mathematics & Statistics at the University of Otago since 2004. His expertise is in applied mathematics focusing on movement of particles or organisms in nature that do not adhere to classical theories. He obtained his Ph.D. in pure mathematics from Louisiana State University, USA in 1997, moved in to applied mathematics during a postdoctoral fellowship in hydrology at the University of Nevada, Reno and was appointed lecturer at the University of Otago in 2001. He was awarded the Early Career Award for Distinction in Research by the University of Otago in 2005 and his research on Transport in Fractal Media was supported by the Royal Society of New Zealand through their Marsden Faststart funding scheme during 2004-2005. He has given invited addresses at international conferences and published over 25 scientific articles not just in mathematical journals but also in physics, geophysics, hydrology and computer science. He is a council member of the New Zealand Mathematical Society as well as a council member of the New Zealand branch of ANZIAM (Australia and New Zealand Industrial and Applied Mathematics). He is also involved in popularising science as council member of the Otago Institute, the Otago branch of the Royal Society of New Zealand.

Research Interests

Dr Boris Baeumer's current research interest is in modelling fractal flow and anomalous dispersion; in particular as it pertains to solute transport of (potentially toxic) particles in groundwater flow as well as dispersal of organisms such as viruses or invading species. He is using a new approach that incorporates heavy tailing and fractal pathways. Heavy tailing occurs whenever there is a power-law probability of catastrophic events, and therefore the approach has promising applications in hydrology, ecology (invasion of species), epidemiology, chemical engineering (for example, build-up on electrodes), physics (for example, rays going through the atmosphere), economics (stock-market), meteorology (rainfall patterns, flood events), etc.

Publications

  1. A space-tapered vector Lévy motion model to simulate preasymptotic transport in regional-scale fractured media (with Yong Zhang @ Desert Research Institute, Las Vegas and Donald M. Reeves @ Desert Research Institute, Reno). Submitted.
  2. A Subordinated Kinematic Wave Equation for Heavy-Tailed Flow Responses from Heterogeneous Hillslopes (with Ciaran J. Harman and Murugesu Sivapalan @ University of Illinois at Urbana-Champaign and Donald M. Reeves). Journal of Geophysical Research - Earth Surface, to appear.
  3. Particle tracking for fractional diffusion with two time scales (with Mark M. Meerschaert and Yong Zhang). Computers and Mathematics with Applications, 59, 1078-1086, doi:10.1016/ doi:10.1016/j.camwa.2009.05.009, 2010.
  4. Tempered stable Lévy motion and transient super-diffusion (with M.M. Meerschaert @ Michigan State University). Journal of Computational and Applied Mathematics, 233, 2438-2448, doi:10.1016/j.cam.2009.10.027, 2010.
  5. Space-Time Duality for Fractional Diffusion (with Mark M. Meerschaert and E. Nane @ Auburn University). Journal of Applied Probability, 46(4), 1100-1115, doi:10.1239/jap/1261670691, 2009.
  6. Fractional advection-dispersion equations for modeling transport at the Earth surface (with Rina Schumer @ Desert Research Institute, Reno, and Mark M. Meerschaert). Journal of Geophysical Research - Earth Surface, 114, F00A07, doi:10.1029/2008JF001246, 2009.
  7. Predicting the Drug Release Kinetics of Matrix Tablets (with Peter Hinow @ University of Minnesota, Ami Radunskaya @ Pomona College and Lipika Chatterjee, Thomas Rades and Ian Tucker @ University of Otago). Discrete and Continuous Dynamical Systems - Series B , 12(2), 261-277, doi:10.3934/dcdsb.2009.12.261, 2009.
  8. Unbounded functional calculus for bounded groups with applications (with M. Haase @ Delft University of Technology and M. Kovacs @ University of Otago). Journal of Evolution Equations 9, 171-195, doi:10.1007/s00028-009-0012-z, 2009.
  9. Brownian subordinators and fractional Cauchy problems (with M.M. Meerschaert and E. Nane). Transactions of the American Mathematical Society, 361(7), 3915-3930, doi:10.1090/S0002-9947-09-04678-9, 2009.
  10. Particle tracking for time-fractional diffusion (with M.M. Meerschaert and Y. Zhang). Physical Review E 78, 036705, doi:10.1103/PhysRevE.78.036705, 2008.
  11. Tempered anomalous diffusion in heterogeneous systems (with M.M. Meerschaert and Y. Zhang). Geophysical Research Letters, 35, L17403, doi:10.1029/2008GL034899, 2008.
  12. Moment analysis for spatiotemporal fractional dispersion (with Y. Zhang and D.A. Benson). Water Resources Research VOL. 44, W04424, doi:10.1029/2007WR006291, 2008.
  13. Numerical solutions for fractional reaction-diffusion equations (with M. Kovacs and M.M. Meerschaert). Computers and Mathematics with Applications 55 (2008), 2212–2226, doi:10.1016/j.camwa.2007.11.012.
  14. Subordinated multiparameter groups of linear operators: Properties via the transference principle (with M. Kovacs and M.M. Meerschaert), Functional Analysis and Evolution Equations, Dedicated to Gunter Lumer (H. Amann, W. Arendt, M. Hieber, F. Neubrander, S. Nicaise, J. von Below eds.), Birkhaeuser Verlag, 35-50, 2008.
  15. Fractional reproduction-dispersal equations and heavy tail dispersal kernels (with M. Kovacs and M.M. Meerschaert). Bulletin of Mathematical Biology 69(7), 2281-2297, 2007.
  16. Predicting the Tails of Breakthrough Curves in Regional-scale Alluvial Systems (with Y. Zhang and D.A. Benson). Ground Water 45(4), 473-484, 2007. doi: 10.1111/j.1745-6584.2007.00320.x
  17. Fractional diffusion with two time scales (with M.M. Meerschaert). Physica A: Statistical and Theoretical Physics 373 (2007), pp.237-251.
  18. The relationship between flux and resident concentrations for anomalous dispersion (with Y. Zhang and D.A. Benson). Geophysical Research Letters VOL. 33, L18407, doi:10.1029/2006GL027251, 2006.
  19. Aquifer Operator-Scaling and the Effect on Solute Mixing and Dispersion (with D.A. Benson, M.M. Meerschaert and H.-P.Scheffler, University of Siegen, Germany). Water Resources Research , 42 (2006), W01415, doi:10.1029/2004WR003755.
  20. Inhomogeneous fractional diffusion equations (with M.M. Meerschaert and S. Kurita, University of Nevada, Reno). Fractional Calculus and Applied Analysis, Vol. 8 (2005), No. 4, pp. 371-386.
  21. Advection and Dispersion in Time and Space (with D.A. Benson and M.M. Meerschaert). Physica A: Statistical and Theoretical Physics, Vol. 350 (2005), No. 2-4, pp. 245-262.
  22. Space-time fractional derivative operators (with M.M. Meerschaert and J. Mortenson, University of Nevada, Reno). Proceedings of the American Mathematical Society, Vol. 133 (2005), No. 8, pp. 2273-2282.
  23. Properties of scaling limits of random walks with waiting times (with M.M. Meerschaert). Proceedings of the 1st IFAC workshop on fractional differentiation and its applications. Bordeaux 2004.
  24. Fractal mobile/immobile solute transport (with R. Schumer, D.A. Benson, and M.M. Meerschaert). Water Resources Research, Vol. 39 (2003), No. 10, p. 1296.
  25. On the inversion of the Laplace and convolution transform Transactions of the American Mathematical Society, 355, no. 3, 1201-1212, 2003.
  26. Multiscaling fractional advection-dispersion equations and their solutions (with R. Schumer, M.M. Meerschaert, and D.A. Benson). Water Resources Research 39(1), 1022, 2003.
  27. Stochastic solutions of space-time fractional diffusion equations (with M.M. Meerschaert, D.A. Benson, H.-P. Scheffler). Physical Review E Vol. 65, 041103, 2002.
  28. Stochastic solutions for fractional Cauchy problem (with M.M. Meerschaert). Fractional Calculus and Applied Analysis, vol. 4, No 4 (2001), pp.481-500.
  29. Operator Levy motion and multiscaling anomalous diffusion (with M.M. Meerschaert and D.A. Benson). Physical Review E, Vol. 63 (2001), pp. 1112-1117.
  30. Subordinated advection-dispersion equation for contaminant transport (with M.M. Meerschaert, D.A. Benson and S.W. Wheatcraft, University of Nevada, Reno). Water Resources Research, Vol. 37 (2001), No. 6, pp.1543-1550.
  31. Approximate solutions to the abstract Cauchy problem. Evolution equations and their applications in physical and life sciences. Bad Herrenalb, Lecture Notes in Pure and Applied Mathematics, 215, Marcel Dekker, New York, 33-41, 2001.
  32. Multidimensional advection and fractional dispersion (with M.M. Meerschaert, D.A. Benson). Physical Review E 59: 5026-5028 (1999).
  33. Convolution kernels and generalized functions. (with G. Lumer and F. Neubrander) Generalized functions, operator theory, and dynamical systems. Brussels, Chapman & Hall/CRC Research Notes in Mathematics, 399, Chapman & Hall/CRC, Boca Raton, 68-78, 1999.
  34. Laplace transform methods for evolution equations (with F. Neubrander, Louisiana State University) Conferenze del Seminario di Matematica dell'Università di Bari 259: 27-60, 1994.

Best results, Albert, born 26.3. 2002, Leilani, born 2.1.2004 and Sylvia, born 22.9.2006!




Last updated, January 15,2010.