Scientific objectives and scope
Stability plays an essential role in many branches of science and engineering,
including several aspects of fluid mechanics, high-speed transmission of
information, and feasibility of MHD fusion devices. The objective of the
workshop is to give an overview of current state-of-the-art methods for
examining stability, as well as to present some widely applicable new
techniques. The format will consist of three invited speakers giving a series of
lectures at a level aimed at graduate students but useful for
researchers from a variety of disciplines, such as mathematics, engineering,
biology, etc.
Workshop description
Although the topic of stability of solutions of partial differential equations
is important in almost any application area, the most powerful techniques one
uses to examine stability are hardly ever taught in courses. This is mainly
because many of these techniques have come about fairly recently. We are
organizing a workshop where these techniques are taught in 3 mini-courses.
The workshop is aimed at graduate students, postdoctoral fellows and young
researchers interested in stability methods, working in different disciplines
on a variety of applications.
- Course 1. An introduction to stability analysis
-
Lecturer: Margaret Beck
(Mathematics, Boston University and Heriot-Watt University, 4 lectures)
- Course 2. Using AUTO for stability problems.
- Lecturer:
Bjorn Sandstede (Mathematics, Brown University),
assisted by David Lloyd (Surrey University)
(4 lectures, tutorial files)
Please visit http://www.dam.brown.edu/people/sandsted/auto.php and follow the instructions there prior to the workshop.
- Course 3: Nonlinear and orbital stability.
- Lecturer: Walter Strauss
(Mathematics, Brown University, 4 lectures)
Participation and support
The workshop is specifically aimed at graduate students and beginning
researchers, although others are invited to participate as well. Limited funding is available to students and postdoctoral fellows,
through generous support of the the National Science Foundation and the
Pacific Institute for the Mathematical
Sciences.
- - Registration. There is no registration fee, but all have to
register to attend, so we may estimate required classroom size, and quantity of
refreshments. To register, e-mail your intent to do so to
stability@amath.washington.edu. Registration is currently closed.
- - Support for students. We intend to provide qualified students
up to US$400 for the cost of airfare or driving, and lodging.
Participating students are highly encouraged to participate in the SIAM Conference on nonlinear waves and
coherent structures, for instance by presenting a poster or a contributed
talk. To apply for support, please send e-mail to
stability@amath.washington.edu with a description of your status and
research, who your advisor is, and your motivation for wanting to participate in the workshop.
Support is available to qualified candidates on a first-come, first-serve
basis, and depends on funding availability.
- - Support for postdoctoral fellows.
We intend to reimburse postdoctoral researchers
up to US$300 for participating in the workshop, which should cover the
incremental cost of attending the workshop if they are attending the
SIAM Conference. To apply for support,
please send e-mail to
stability@amath.washington.edu with a description of your status and research, and your motivation
for wanting to participate in the workshop. Support is available to qualified candidates on a first-come, first-serve basis, and depends on funding availability.
Schedule
This is a short, but intensive workshop. The full two days will be used,
starting early on Monday, ending late on Tuesday.
|
Monday 6/11
Guggenheim Hall 220 |
Tuesay 6/12
Sieg Hall 134 |
| 9:00-9:50 |
Introduction 1: Margaret Beck |
Introduction 4: Margaret Beck |
| 10:00-10:30 |
Break |
Break |
| 10:30-11:20 |
Introduction 2: Margaret Beck |
Nonlinear Stability 2: Walter Strauss |
| 11:30-12:20 |
AUTO and Stability 1: Bjorn Sandstede |
AUTO and Stability 3: Bjorn Sandstede |
| 12:30-14:00 |
Lunch |
Lunch |
| 14:00-14:50 |
AUTO and Stability 2: Bjorn Sandstede |
AUTO and Stability 4: Bjorn Sandstede |
| 15:00-15:50 |
Introduction 3: Margaret Beck |
Nonlinear Stability 3: Walter Strauss |
| 16:00-16:30 |
Break |
Break |
| 16:30-17:20 |
Nonlinear Stability 1: Walter Strauss |
Nonlinear Stability 4: Walter Strauss |
| 17:30-19:30 |
|
Dinner, Reception |
As noted above: Bjorn Sandstede will be assisted by David Lloyd.
Lecture notes
Lecture notes are linked to above.
Lodging, transportation and local information
Lodging options are found here.
Note that the Hotel Deca is the conference hotel for the SIAM conference. More
information is available from
Lodging, transportation, etc.. Participants are encouraged to arrange for
room sharing.
All lectures will be in Guggenheim Hall on the University of Washington Campus.
2006 Workshop
The lecture notes from the 2006 Workshop remain available:
- Course 1. An introduction to stability analysis
-
Lecturer: Mariana Haragus
(Mathematics, U. de Franche-Comte) (4 lectures)
- Course 2. The Evans function.
- Lecturer:
Todd Kapitula (Mathematics
and Statistics, U. of New Mexico) (4 lectures)
- Course 3. Numerical methods.
- Lecturers: J. Nathan Kutz (Applied Mathematics, U. of Washington)
(1 lecture),
Bernard
Deconinck (Applied Mathematics, U. of Washington) (1 lecture),
Jens Rademacher (Weierstrass
Institute, Berlin) (1 lecture),
Jeff Humpherys (Mathematics, Brigham Young)
(1 lecture)
- Course 4: Nonlinear stability.
- Lecturer: Harvey Segur
(Applied Mathematics, U. of Colorado, Boulder)
(
lecture 1,
lecture 2,
lecture 3,
lecture 4
)
|
