For more information about this meeting, contact Yuxi Zheng, Tianyou Zhang.
|Title:||Uniqueness of conservative solutions to a variational wave equation|
|Seminar:||Hyperbolic and Mixed Type PDEs Seminar|
|Speaker:||Alberto Bressan, Penn State|
|An interesting class of variational wave equations take the form
u_tt - c(u)(c(u)u_x)_x = 0,
where c(u) > 0 is the wave speed. It is well known that solutions
remain uniformly Holder continuous, but their gradient can blow up in
finite time. When this happens, multiple solutions can be constructed.
Uniqueness can be achieved by further imposing that the total energy
remains constant in time.
The uniqueness proof relies on a refined analysis of characteristics,
which in this case satisfy an ODE with Holder continuous right hand side.
The talk will present the main ideas in the construction, and review some earlier results on uniqueness for ODEs with possibly discontinuous right
Room Reservation Information
|Date:||12 / 02 / 2014|
|Time:||10:00am - 10:50am|