Moving Interface Problems and Applications in Fluid Dynamics
(8 Jan - 31 Mar 2007)
It is a perennial challenge to develop
accurate (and yet not-so-complex) mathematical models for
faithful descriptions of various moving interface problems
with different applications. In this program, we will
discuss recent developments in the modeling and simulations
of biological flow coupled to deformable tissue/elastic
structure, shock wave and bubble dynamics in biological
treatment (occurring in shock lithotripsy, lipoplasty, phacoemulsification and others) with
experimental verification, multi-medium flow or multi-phase
flow involving cavitation/supercavitation (arising from
large pressure changes) and detonation problems. This
program will address (mathematical) issues arising from
these areas, including
Satisfactory or physically realistic answers and descriptions for the issues mentioned depend largely on the collaboration among fluid mechanists, applied and computational mathematicians and engineers with relevant input and participation of biologists, medical personnel, physical scientists and experimentalists.
Theoretically, in multi-medium flow, the partial
differential equation models invariably involve
discontinuities in the physical parameters, coefficients,
singular source distribution along interfaces, and
non-smooth or even discontinuous solutions. It is a
challenge to discuss and address issues of existence and
uniqueness and regularity of the solutions for multi-phase
physics. This will definitely lead to new research topics or
directions for both pure and applied mathematicians.
This three-month program will bring together leading physicists, computational scientists and applied mathematicians internationally, and local experts from NUS, NTU, A*STAR institutes and local hospitals to discuss and interact as well as collaborate. The program consists of two workshops, four tutorial sessions, and collaborative research. One workshop focuses on moving interface problems and applications in biological flow; the other emphasizes compressible multi-medium flows, bubble dynamics, cavitating flow, detonation and their applications.
IMS Membership is not required for participation in above activities. For attendance at these activities, please complete the registration form (MSWord|PDF|PS) and fax it to us at (65) 6873 8292 or email it to us at email@example.com.
If you are an IMS member or are applying for IMS
membership, you do not need to register for these activities.
Solicited research papers based on this conference will be refereed and published by a Contemporary Mathematics volume, American Mathematical Society. Information about the AMS's Contemporary Mathematics series can be found in the following website http://www.ams.org/cgi-bin/bookstore/bookpromo/conmseries.
The Institute for Mathematical Sciences invites applications for membership for participation in the above program. Limited funds to cover travel and living expenses are available to young scientists. Applications should be received at least three (3) months before the commencement of membership. Application form is available in (MSWord|PDF|PS) format for download.
For enquiries on scientific aspects of the program, please email Boo Cheong Khoo at firstname.lastname@example.org.