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A CMA-workshop on
Camassa-Holm and other nonlinear dispersive
equations
Oslo, June 7- 8, 2004
Introduction:
We are pleased to announce a small informal two-days meeting
on "Camassa-Holm and other nonlinear dispersive equations",
which will be held from June 7 to 8, 2004, at the Centre of Mathematics
for Applications (CMA), University of Oslo.
In recent years the so-called Camassa-Holm equation has caught
a great deal of attention. It is a nonlinear dispersive wave equation
that models the propagation of unidirectional shallow water waves
on a flat bottom. In another interpretation it models finite length,
small amplitude radial deformation waves in cylindrical compressible
hyperelastic rods. Also relatated is the so-called Hunter Saxton
equation describing the director field of a nematic liquid crystal.
The Camassa-Holm equation possesses many remarkable properties.
To mention a few, it has a bi-Hamiltonian structure (an infinite
number of conservation laws), is completely integrable, and has
an infinite number of solitary wave solutions, called peakons due
to the discontinuity of their first derivatives at the wave peak,
interacting like solitons. The workshop will focus on theoretical
(existence, uniqueness, regularity, etc.) and numerical aspects
of the Camassa-Holm and other related nonlinear dispersive equations.
Time and place:
The workshop starts on
Monday June 7, 09.00, and ends on
Tuesday June 8, 14.15.
The meeting will take place in the CMA seminar room (B1036) in the
Niels Henrik Abel building (mathematics building) on the 10th. floor.
For more information on how to get to the venue, please send an
email to kennethk@math.uio.no
All persons who are interested are welcome to attend this meeting.
Program (subject to change):
Monday:
0900-0945 L. Molinet (Paris). Title: On
global existence for the Kadomtsev-Petviashvili-I equation around
the line-soliton. Abstract.
1000-1045 H. Holden (Trondheim). Title: On the
Hunter-Saxton-Zheng equation. Abstract.
1045-1115 **Coffee
1115-1200 J. Lenells (Lund). Title: Traveling Wave
Solutions of the Camassa-Holm Equation Abstract.
1200-1330 **Lunch
1330-1415 G. Coclite (Oslo). Title: On the Wellposedness
for a Generalized Hyperelastic-Rod Wave Equation. Abstract.
1430-1515 P. C. Moan (Oslo). Title: Numerical
aspects of the discretization of Hamiltonian wave equations
1515-1545 **Coffee
1545-1630 X. Raynaud (Trondheim). Title: . Abstract.
Tuesday:
0900-0945 A. Constantin (Lund). Title:
Geodesic flow on the diffeomorphism group of the circle. Abstract.
1000-1045 E. Wahlen (Lund). Title: On the blow-up
of solutions to the periodic Camassa-Holm equation. Abstract.
1045-1115 **Coffee
1115-1200 Karsten Trulsen (Oslo). Title: Large
horse-shoe patterns of water surface waves. Abstract.
1200-1330 **Lunch
1330-1415 Bo Su (Leipzig/Iowa) Title: Front Propagation
Problem in Nonisothermal Polymer Crystallization. Abstract.
Organizing committee:
Giuseppe Maria Coclite (UiO/CMA)
Kenneth Hvistendahl Karlsen (UiO/CMA)
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