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      Scientific aspects





Moving Interface Problems and Applications in Fluid Dynamics

(8 Jan - 31 Mar 2007)

Organizing Committee ·  Confirmed Visitors · Overview · Activities Membership Application

 Organizing Committee


  • Boo Cheong Khoo, (National University of Singapore)


  • Weizhu Bao, (National University of Singapore)
  • Zhilin Li, (North Carolina State University)
  • Ping Lin, (National University of Singapore)
  • Tiegang Liu, (Institute of High Performance Computing)
  • Le Duc Vinh, (Singapore-MIT Alliance)

 Confirmed Visitors


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

  1. how to efficiently deal with interfacial topological change,
  2. how to overcome the unphysical oscillations,
  3. how to suppress the numerical instability when a fluid coupled to a stiff material or when the density ratio of two media is very large,
  4. how to efficiently deal with stiff chemical reactions in computations,
  5. whether and when one should consider using isotropic or anisotropic models, considerations of thermal and friction effect, and other factors during the modeling of multi-phase flows with relevance to the bio-medical field and physical environment.

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.

The purpose of this program is to bring together fluid mechanists, physicists, biological scientists, computational scientists, applied and computational mathematicians and engineers to develop and promote interdisciplinary research on modeling, theory, and simulations in the area of fluid dynamics involving moving interfaces, with a view to applications in the bio-medical field and physical environment and with relevance to industry and the defense community. It will provide a platform for local and international researchers to exchange ideas, conduct collaborative research and identify future directions and developments in these fields.


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

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


 Membership Application

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.

More information is available by writing to:
Institute for Mathematical Sciences
National University of Singapore
3 Prince George's Park
Singapore 118402
Republic of Singapore
or email to

For enquiries on scientific aspects of the program, please email Boo Cheong Khoo at

Organizing Committee ·  Confirmed Visitors · Overview · Activities Membership Application