Nonlinear diffusion equations can be used to describe processes and behaviours in fields as diverse as biology, heat transfer, ground water modelling, industrial processes, chemical reactions, and mathematical physics. This workshop will focus on two aspects: first, the use of nonlinear equations in modelling various physical problems, in particular in the areas of ground water flow, math biology, and math physics; and second, the use of symmetry techniques to find useful analytic solutions to these types of models.
Guest editors Philip Broadbridge and Roman Cherniha
Applications of nonlinear diffusion equations are invariably irreversible processes. Irreversibility may be signified by some time-monotonic functional or “entropy” on the space of state functions. We welcome contributions that have some reference to real irreversible systems whose state functions involve dependence on both space and time variables or their analogues (e.g. age of individuals). Such systems may include, but are not limited to heat transfer, solute transport, mixing processes, evolution of solid surfaces and crystal defects, cell migration, population dynamics, disease transmission and population genetics. “Nonlinear” is a key word but linear models may be used if the effects of nonlinear extensions are also discussed. Within this field, analysis of the properties of practical nonlinear diffusion equations, and approaches to their solution, remain important.
|Philip Broadbridge La Trobe University Australia|
|Roman Cherniha National Academy of Sciences of Ukraine Ukraine|
|Maureen Edwards University of Wollongong Australia|
|Kenji Kajiwara Kyushu University Japan|
|Maria Clara Nucci University of Perugia Italy|
|Mary Pugh University of Toronto Canada|
|Masato Wakayama Kyushu University Japan|
The programme booklet with abstracts is now available for download.
Delegates are also welcome to attend a retirement dinner for Professor Philip Broadbridge to take place at 6:30pm on Thursday the 20th of June at the Metropolitan Hotel, 263 William Street, Melbourne, at a cost of A$ 59. The charge will cover the Metropolitan's three course sharing menu shown below, and an after-dinner tea or coffee. Professor Broadbridge will purchase some drinks for guests at the start of the event.
Wednesday the 5th of June: If you or a dinner guest has special dietary requirements, please complete your dinner registration by June 5th. There is a field available to specify special dietary requirements when registering.
Monday the 10th of June: We would appreciate if all remaining guests could complete their registration by June 10th.
Dinner registration is available under the "Events" tab when registering at the registration website. There is a "Retirement Dinner Only" registration category for those who would like to attend the dinner but not the workshop. It is also possible to include additional dinner guests when registering, using the drop-down box under the "Events" tab.
The conference will be held at La Trobe University's City Campus, Level 20, 360 Collins Street, Melbourne, Victoria 3000.
Several of our speakers will be staying at the Rendezvous Hotel, 328 Flinders Street, Melbourne. We have secured a promotional code for 15% off the best available rate: Please use the following link to book directly, or use the promotional code: LATROBE19
Alternative accommodation options in the Melbourne central business district include:
For those arriving in Melbourne via Tullamarine International Airport, the Skybus runs express from the airport to Southern Cross Station in the Melbourne central business district. The Skybus costs approximately A$ 20 one-way and directions to the ticket booth and bus pickup point are well signposted at the airport.
Southern Cross Station, and the workshop and dinner venues are all within the Melbourne "Free-tram-zone", where all tram rides are free of charge and do not require a ticket. For boundaries of the Free-tram-zone please see the linked pdf map.
If you wish to travel outside the free tram zone a reusable Myki card can be purchased at Southern Cross Station. Myki cards can be used for all Melbourne metropolitan trains, trams and buses. Please see the Public Transport Victoria website for further details.
This event is sponsored by the Australian Mathematical Sciences Institute (AMSI). AMSI allocates a travel allowance annually to each of its member universities (for list of members, see www.amsi.org.au/members).
Students or early career researchers from AMSI member universities without access to a suitable research grant or other source of funding may apply (with approval of the Head of Mathematical Sciences) for subsidy of travel and accommodation out of the AMSI departmental travel allowance.
For more information and to apply, see research.amsi.org.au/travel-funding/.
The AustMS WIMSIG Cheryl E. Praeger Travel Awards are designed to provide full or partial support for Australian female mathematicians to attend conferences or to visit collaborators.
Please see www.austms.org.au/Praeger+Travel+Awards for full details.
The AustMS WIMSIG Anne Penfold Street Awards provide additional financial support to Australian mathematicians for their caring responsibilities, while they travel for conferences or research visits to collaborators.
Please see http://www.austms.org.au/Street+Awards for full details.
www.crechendo.com.au offers short term childcare in Melbourne for events.
If you have any questions or inquiries about ANDE 2019 you can contact us via e-mail at ande2019 [at] imi.kyushu-u.ac.jp