Diffusion-driven unbounded growth and dynamical spike patterns in reaction-diffusion-ode models
14:40--15:30 Takeyuki Nagasawa (Saitama)
Decomposition of Möbius energy and Möbius invariance of decomposed energies
15:30--16:00 coffee break
16:00--16:50 Takayoshi Ogawa (Sendai)
Threshold for the global behavior of solution to degenerate Keller-Segel (drift-diffusion) system in between critical exponents
17:30--19:00 welcome party
Wednesday, 29 October, 2014
10:00--10:50 Hideo Ikeda (Toyama)
Stability and bifurcation properties of a standing spot solution in 3-component FitzHugh-Nagumo systems
11:00--12:00 Michael Winkler (Paderborn)
Finite-time blow-up in the parabolic Keller-Segel system
12:00--13:30 lunch break
13:30--14:30 Short communications, I
Aya Ishizeki (Saitama)
Variational formulae and estimates for decomposed Möbius energies
Shoichi Hasegawa (Sendai)
Liouville theorem for Henon type equation on Riemannian models
Jin Takahashi (Tokyo)
Time-dependent singularities for a semilinear
parabolic equation with an absorption term
14:40--15:40 Short communications, II
Hiroko Yamamoto (Sendai)
Location of concentration points in a spatially heterogeneous semilinear Neumann problem
Kohta Suzuno (Tokyo)
Modeling bottleneck flow in pedestrian dynamics
Kurumi Hiruko (Sendai)
Dynamics of mutable prostate cancer cells under intermittent androgen suppression therapy
15:40--16:10 coffee break
16:10--17:00 Shinya Okabe (Sendai)
The obstacle problem for a fourth order parabolic equation
Thursday, 30 October, 2014
10:00--10:50 Eiji Yanagida (Tokyo)
Expanding patterns in the Fisher-KPP equation
11:00--12:00 Yuan Lou (Columbus/Beijing)
Evolution of Dispersal in Advective Environments
12:00--13:30 lunch break
13:30--14:20 Mayuko Iwamoto (Tokyo)
Mathematical model for adhesive locomotion in gastropods
14:30--15:20 Sumio Yamada (Tokyo)
Variational characterizations of the static solutions to the Einstein-Maxwell equation
15:20--16:00 coffee break
16:00--16:50 Izumi Takagi (Sendai)
Control of patterns by way of spatial heterogeneity
Friday, 31 October, 2014
10:00--10:50 Sohei Tasaki (Sendai)
Growth prediction of colonies of motile bacteria
11:00--12:00 Peter Bates (East Lansing)
Invariant manifolds of multi interior spike states for the Cahn-Hilliard equation
12:00--12:10 closing
Mini-workshop on Patterns Resulting from Competition between Diffusion and Taxis
Friday, 31 October, 2014
Venue: Kawai Hall, Mathematical Institute, Tohoku University
13:30--14:20 Koichi Osaki (Sanda)
Chemotaxis vs. logistic growth - global existence and pattern formation of solutions
14:40--15:20 Hiroshi Wakui (Sendai)
Boundedness of a weak solution to a degenerate drift-diffusion equation with a critical exponent
15:30--16:10 Yoshifumi Mimura (Sendai)
The critical mass for a degenerate Keller-Segel system from a variational viewpoint
Organizing Committee: Yuan Lou (Ohio State University/Renmin University), Izumi Takagi (Tohoku University; chair) and Eiji Yanagida (Tokyo Institute of Technology)
This symposium is supported by the Tohoku University Focused Research Project "Interdisciplinary Mathematics toward Smart Innovations", the JSPS Grant-in-Aid for Scientific Research (A) #22244010 "Theory of Differential Equations Applied to Biological Pattern Formation--from Analysis to Synthesis", and the JSPS Grant Challenging Exploratory Research #26610027 "Control of Patterns by Multi-component Reaction-Diffusion Systems of Degenerate Type".
