Special Session 65: Nonlinear Evolution Equations and Related Topics
Organizer(s): Goro AKAGI , Michinori ISHIWATA , Mitsuharu OTANI

Parallel Session 2 :: Wednesday, May 31, 16:00 – 18:30                     ST1002
16:00-16:30	Jorge A Esquivel-Avila (Universidad Autonoma Metropolitana, Mexico)  Some remarks about the existence of nonglobal and global solutions of a class of evolution equations

17:00-17:30

Tatsuya Watanabe (Kyoto Sangyo University, Japan)  Ground state solutions for quasilinear scalar field equations arising in nonlinear optics

17:30-18:00

Florian Salin (Institut Camille Jordan, France)  Numerical analysis of fractional nonlinear diffusion equation

18:00-18:30

Goro Akagi (Mathematical Institute, Tohoku University, Japan)  Rates of convergence to asymptotic profiles for fast diffusion on domains

Parallel Session 3 :: Thursday, June 1, 08:00 – 09:30                     ST1002
8:00-8:30	Akisato Kubo (Fujita Health University, Japan)  Non-linear evolution equations with non-local coefficients arised in chemotaxis models

8:30-9:00

Kotaro Sato (Graduate School of Science, Tohoku University, Japan)  On some evolution equation with irreversibility and energy-conservation arising from fracture mechanics

9:00-9:30

Shun Uchida (Oita University, Japan)  Solvability of doubly nonlinear parabolic equation with p-Laplacian

Parallel Session 4 :: Thursday, June 1, 14:00 – 16:00                     ST1002
14:00-14:30	Monica Marras (University of Cagliari, Italy)  Qualitative behavior of solutions to a class of Keller-Segel system

14:30-15:00

Yutaro Chiyo (Tokyo University of Science, Japan)  Existence of bounded classical solutions to a chemotaxis system modeling tumor angiogenesis

15:00-15:30

Yuya Tanaka (Department of Mathematics, Tokyo University of Science, Japan)  Blow-up in a generalized diffusive Lotka--Volterra competition model with chemotaxis

15:30-16:00

Tomomi Yokota (Tokyo University of Science, Japan)  Global dynamics in a degenerate chemotaxis model for tumor invasion

Parallel Session 5 :: Thursday, June 1, 16:30 – 19:00                     ST1002
16:30-17:00	Maurizio Grasselli (Politecnico di Milano, Italy)  Multi-component Cahn-Hilliard and Allen-Cahn equations

17:00-17:30

Ciprian Gal (Florida International University, USA)  On fractional in time diffusion equations

17:30-18:00

Andrea Giorgini (Politecnico di Milano, Italy)  Recent results for the Navier-Stokes-Cahn-Hilliard system with unmatched densities

18:00-18:30

Tomoyuki Oka (The University of Tokyo, Japan)  Homogenization problem with nonlinear boundary conditions and its applications to optimal design problems

18:30-19:00

Kosuke Kita (Waseda University, Graduate School of Advanced Science and Engineering, Japan)  On critical phenomena for nonlinear heat equations on bounded domains characterized by nonlinear boundary conditions