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Quantum and Kinetic Transport: Analysis, Computations, and New Applications

March 9 - June 12, 2009


Organizing Committee | Activities | Scientific Overview

Participation | Application | Contact Us

Organizing Committee

Eric Carlen (Rutgers University, Department of Mathematics)
Pierre Degond (Université de Toulouse III (Paul Sabatier))
Irene Gamba (University of Texas at Austin)
Frank Graziani (Lawrence Livermore National Laboratory)
Shi Jin (University of Wisconsin-Madison, Department of Mathematics)
Karl Kempf (Intel Corporation)
David Levermore (University of Maryland, Department of Mathematics)
Peter Markowich (Universität Wien, Institute of Mathematics)
Stanley Osher (University of California, Los Angeles (UCLA), Mathematics)
Christian Ringhofer (Arizona State University, Department of Mathematics and Statistics)
Marshall Slemrod (University of Wisconsin-Madison, Mathematics)

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Activities

There will be an active program of research activities, seminars and workshops throughout the March 9 - June 12, 2009 period and core participants will be in residence at IPAM continuously for these fourteen weeks. The program will open with tutorials, and will be punctuated by four major workshops and a culminating workshop at UCLA's Lake Arrowhead Conference Center. Several distinguished senior researchers will be in residence for the entire period. Between the workshops there will be a program of activities involving the long-term and short-term participants, as well as visitors.

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Scientific Overview

We are at the dawn of the nanotechnology era, where scientific and technological advancements in many fields strongly demand the investigation of problems involving small or multiple scales. In such problems, the hydrodynamic theory is often invalid, and one has to apply the more fundamental laws of physics, such as kinetic theory (Boltzmann equation), molecular dynamics (Newton’s second law or the Liouville equation), or even quantum mechanics (Schrodinger equation). This requires the development of new mathematical and computational methods for physical laws at these scales, or a mixture of them, which is facilitated by the improvements of modern computers. Mathematical understanding of the scaling limit from one scale to another plays an important role, and interweaves with the development of new multiscale computational methods. This program will focus on the mathematical analysis, computational challenges and new applications of quantum and kinetic transport theory. It will invite both senior leading figures and young researchers in these directions. Besides applied mathematicians, special attention will be paid to invite researchers in other fields in science and engineering, representing academic, national lab and industrial research.

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Participation

This long-term program will involve a community of senior and junior researchers. The intent is for long-term participants to have an opportunity to learn about the mathematics of quantum and kinetic transport from the perspective of multiple fields and to meet a diverse group of people and have an opportunity to form new collaborations. In addition to these activities, there will be opening tutorials, four workshops, and a culminating workshop at Lake Arrowhead.

Full and partial support for long-term participants is available, and those interested are encouraged to fill out an online application at the bottom of this page. Support for individual workshops will also be available, and may be applied for through the online application for each workshop. We are especially interested in applicants who are interested in becoming core participants and participating in the entire program (March 9 - June 12, 2009), but give consideration to applications for shorter periods. Funding for participants is available at all academic levels, though recent PhD's, graduate students, and researchers in the early stages of their career are especially encouraged to apply.

Encouraging the careers of women and minority mathematicians and scientists is an important component of IPAM's mission and we welcome their applications.

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Contact Us:

Institute for Pure and Applied Mathematics (IPAM)
Attn: KT2009
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: ipam@ucla.edu
Website: http://www.ipam.ucla.edu/programs/kt2009/

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