# Kyoto University Applied Mathematics Seminar (KUAMS)

## Records of past seminars: year 2016

No.27:   2016. 2. 23. (Tue) 16:30-18:00

Dr. Yosuke Hasegawa, Associate Professor (Univ. of Tokyo)
"Towards Effective Control of Turbulent Transport Phenomena"

Abstract: This talk was given in Japanese.

No. 28:   2016. 4. 19. (Tue) 16:30-18:00

Takeshi Gotoda (Kyoto University, Department of Mathematics)
"Mathematical analysis of enstrophy dissipation via point vortex solution for regularized Euler equations"

Abstract: This talk was given in Japanese.

No. 29:   May 24, 2016 (Tue) 16:30-18:00

Dr. Akane Kawaharada (Kyoto University of Education)
"An approach to studying the relation between cellular automaton models and partial differential equation models of some physical phenomena"

Abstract: This talk was given in Japanese.

Note: This was a joint seminar with "Kyoto Dynamical Systems seminar".

No. 30:   June 17, 2016 (Fri) 16:30-18:00  Special seminar

Prof. Hans G. Kaper (Georgetown University, Washington, DC, and MCRN (Mathematics and Climate Research Network))
"Mathematics and Climate - Challenges for Dynamical Systems"

Abstract: Mathematical models and statistical arguments play a central role in the assessment of the changes that are observed in Earth's climate system. While much of the discussion of climate change is focused on large-scale computational models, the theory of dynamical systems provides the language to distinguish natural variability from change. In this talk I will discuss some problems of current interest in climate science and indicate how, as mathematicians, we can find inspiration for new applications.

No. 31:   June 28, 2016 (Tue) 16:30-18:00

Dr. Chihiro Matsuoka (Osaka City University)
"Nonlinear evolution of vortex sheets with non-uniform current in MHD flows"

Abstract: This talk was given in Japanese with slides written in English.

No. 32:   July 19, 2016 (Tue) 16:30-18:00

Prof. Koji Ohkitani (SoMaS, University of Sheffield)
"The Navier-Stokes equations and Wiener path integrals: a probabilistic approach to the regularity problems"

Abstract: This talk was given in Japanese.

No. 33:   August 29, 2016 (Mon) 16:00-17:30

Prof. Giuseppe Di Fazio (University of Catania, Dept. of Mathematics and Informatics)
"Strong $$A_\infty$$ weights and quasilinear degenerate elliptic equations"

Abstract: Strong $$A_\infty$$ weights are introduced. Then, degenerate elliptic equations with respect to a power of a strong $$A_\infty$$ weight are studied. Then, Harnack inequality and local regularity results for weak solutions of a quasilinear degenerate equation in divergence form under natural growth conditions are proved. We stress that regularity results are achieved under minimal assumptions on the coefficients.

No. 34:   October 11, 2016 (Tue) 16:30-18:00

Dr. Shizuo Kaji (Yamaguchi University)
"Shape processing methods based on ideas from topology"

Abstract: This talk was be given in Japanese.

No. 35:   October 22, 2016 (Sat) 9:30-16:00

Special Seminar: Freshman Seminar 2016

No. 36:   November 11, 2016 (Fri) 16:30-18:00 Special seminar

Prof. Pingwen Zhang (Peking University, School of Mathematical Sciences)
"Numerical Methods of Quasicrystals and Applications"

Abstract: In this talk, we will introduce a high-precision numerical method for studying quasicrystals, i.e., the projection method. This method is based on the philosophy that a continuous distributed quasicrystal is a continuous function over a quasilattice. It can be used to study the soft quasicrystals. In particular, the projection method decomposes the quasiperiodic structure by a combination of the almost periodic functions, and provides an efficient algorithm to calculate the combinational coefficients in the higher-dimensional space. At the same time, the projection method provides a unified computational framework for the periodic crystals and quasicrystals. The free energies of the two kinds of ordered structures can be obtained with the same accuracy. Therefore, it can be used to determine the thermodynamic stability of periodic and quasiperiodic crystals in theory. We have applied the algorithm to a series of coarse-grained density functional theories, and obtained 2-dimensional 8-, 10, 12-fold symmetric quasicrystals (computed in the 4-dimensional space), and 3-dimensional icosahedral quasicrystals (calculated in the 6-dimensional space). The corresponding phase diagrams, including periodic crystals and quasicrystals, have been constructed.

Note that the day is different from the usual one. The place is the same as usual (6-809).

No. 37:   December 26, 2016 (Mon) 17:00-18:30

Prof. Tetsuya Ishiwata (Shibaura Institute of Technology)
"Type II blow-up of solutions to a quasilinear parabolic equation"

Abstract: This talk was be given in Japanese.

Note that the day and time are different from the usual ones. The place is the same as usual (6-809).

No. 38:   January 5, 2017 (Thu) 16:30-18:00

Dr. Kei Nishi (Kyoto Sangyo University)
"Heterogeneity-induced dynamics of a front-back pulse arising in some bistable medium"

Abstract: This talk will be given in Japanese.

Note that the day is different from the usual one. The place is the same as usual (6-809).