Joint workshop on nonlinear PDE's, University of Tohoku and University of Sydney
General Information
This is a joint workshop between the University of Tohoku (Sendai, Japan) and the University of Sydney for postgraduate students and post doctoral fellows fostering scientific exchange.
Organizers of the workshop are:
The workshop takes place on March 9, 2012 at the University of Sydney.
Participants
Tohoku University:
 Tsukasa Iwabuchi, Toru Kan, Yohei Fujishima, Kazushige Nakagawa, Harunori Monobe, Noboru Chikami, Kanako Kobayashi, Erika Ushikoshi, Kouta Uriya, Takayoshi Ogawa, Shinya Okabe
University of Sydney
 Sanjiban Santra, Kelei Wang, Robert Marangell, Xin Liu
Program
Below is the program. All talks take place in Carslaw Seminar Room 453.
 09:00–09:40 Tsukasa Iwabuchi (Tohoku Univ.)

 Illposedness for the nonlinear Schrödinger equations in one space dimension
 09:50–10:30 Sanjiban Santra (Univ. Sydney)

 Some concentration results of a singular perturbed problem with mixed powers
 10:45–11:05 Toru Kan (Tohoku Univ.)

 Bifurcation structure of the LiouvilleGel’fand equation for a twodimensional annular domain
 11:10–11:30 Kelei Wang (Univ. Sydney)

 Partial regularity of stable solutions for some supercritical problems
 11:35–11:55 Yohei Fujishima (Tohoku Univ.)

 Blowup set for a semilinear heat equation with exponential nonlinearity
 Lunch
 14:00–14:40 Kazushige Nakagawa (Tohoku Univ.)

 On the PhragménLindelöf theorem for ${L}^{p}$viscosity solutions of fully nonlinear PDEs with unbounded ingredients
 14:50–15:10 Robert Marangell (Univ. Sydney)

 Instability and stability in periodic traveling waves in the SineGordon Equation
 15:15–15:35 Harunori Monobe (Tohoku Univ.)

 On a Stefanlike problem related to cell crawling
 15:40–16:00 Xin Liu (Univ. Sydney)

 Tackling structural complexity of fluid knots by Jones polynomials
 16:10–17:00 Poster Session
 Poster presenters:
 Noboru Chikami (Tohoku Univ.)
 Local existence and blowup criterion for the compressible NavierStokesPoisson equations in Besov spaces
 Kanako Kobayashi (Tohoku Univ.)
 Convectiondiffusion equation with absorption and nondecaying initial data
 Erika Ushikoshi (Tohoku Univ.)
 Hadamard variational formula for the Green function of the boundary value problem on the Stokes equations
 Kouta Uriya (Tohoku Univ.)
 Modified wave operator for the quadratic nonlinear Schrödinger system in two space dimensions