Dynamics and Numerics for Non-local PDEs and Related Equations in the Physical and Biological Sciences

May 4 - 7, 2014

Iowa State University
Department of Mathematics

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ABSTRACT

The scope of the school is to review latest advances in the development of mathematical tools and numerical methods for nonlocal partial differential equations of the transport/kinetic type, and related lattice differential equations, which arise in various contexts of physical sciences (e.g., aggregation, coagulation, and fragmentation; gases and plasmas; phase transitions; reaction-diffusion systems; competitive selection; swarming; contact processes). There are many issues in both mathematical analysis of those models and their numerical realization.

GOALS

The aim of the school is to provide a sound mathematical background, a comprehensive review of newly developed techniques and novel numerical methods to capture the stable patterns produced by such mathematical models. The techniques used are often related to classical methods in fluid mechanics, and the interplay between classical applications and modern ones will be highlighted through the school program.   The introductory lectures aim to familiarize graduate students, postdocs, and non-experts with central concepts and new directions in the field. Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.

REGISTRATION CLOSED

ORGANIZERS

CONFIRMED PARTICIPANTS

FUNDING

A limited amount of travel and local lodging is available for researchers in the early stages of their career who want to attend the full program, especially for graduate students and post-doctoral fellows.

INFORMATION FOR PARTICIPANTS

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Email: hliu@iastate.edu

CONFERENCE POSTER

ACKNOWLEDGMENT

Funding provided by the NSF through the KI-net Grant.