Mathematics for Nonlinear Phenomena — Analysis and Computation: In Honor of Yoshikazu Giga’s 60th Birthday, Sapporo, Japan, August 2015

335 Pages·2017·6.464 MB·English

by  Yasunori Maekawa, Shuichi Jimbo (eds.)

Springer Proceedings in Mathematics & Statistics
Yasunori Maekawa
Shuichi Jimbo Editors
Mathematics
for Nonlinear
Phenomena—
Analysis and
Computation
In Honor of Yoshikazu Giga's 60th
Birthday, Sapporo, Japan, August 2015
Springer Proceedings in Mathematics & Statistics
Volume 215
Springer Proceedings in Mathematics & Statistics
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Yasunori Maekawa Shuichi Jimbo
(cid:129)
Editors
Mathematics for Nonlinear
—
Phenomena Analysis
and Computation
’
In Honor of Yoshikazu Giga s 60th Birthday,
Sapporo, Japan, August 2015
123
Editors
Yasunori Maekawa Shuichi Jimbo
Mathematical Institute Department ofMathematics
Tohoku University Hokkaido University
Sendai, Miyagi Sapporo,Hokkaido
Japan Japan
ISSN 2194-1009 ISSN 2194-1017 (electronic)
SpringerProceedings in Mathematics& Statistics
ISBN978-3-319-66762-1 ISBN978-3-319-66764-5 (eBook)
DOI 10.1007/978-3-319-66764-5
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Preface
This volume collects research papers and survey articles of participants in the
Mathematics for Nonlinear Phenomena: Analysis and
Computation
—InternationalConferenceinhonorof
ProfessorYoshikazuGigaonhis60thbirthday—
(Organizers: Shuichi Jimbo, Shunichi Goto, Yoshihito Kohsaka, Hideo Kubo,
Yasunori Maekawa, and Masaki Ohnuma)
Which was held from August 16 to 18, 2015, in Sapporo, Japan. The total
numberofparticipantsis205includingaround30personsfromoutsideJapan.We
would like to thank all the participants, in particular the invited lecturers of the
conferenceandtheresearcherswhocontributedtothisvolume.Wealsowouldlike
to extend our sincere gratitude to Department of Mathematics of Hokkaido
University, Sapporo International Communication Plaza Foundation, Institute for
MathematicsinAdvancedInterdisciplinaryStudy,andHokkaidoKaihatsuKokusai
Kouryu Kikin for their valuable support and commitment to make the conference
successful. Our thanks also go to the referees for their efficient work, and to the
secretaries, the staff, and the students who kindly helped us during the conference
and editing this volume.
TheconferencewassupportedinpartbytheGrantinAidforScientificResearch
of the Japan Society for the Promotion of Science (Nos. 26220702, 25220702,
25247008, 24340024, and 24540200).
Kyoto, Japan Yasunori Maekawa
Sapporo, Japan Shuichi Jimbo
July 2017
v
Mathematics for Nonlinear Phenomena: Analysis
—
and Computation International Conference in
Honor of Professor Yoshikazu Giga on His 60th
Birthday
Date: August 16–18, 2015
Venue: Sapporo Convention Center
http://www.math.sci.hokudai.ac.jp/sympo/150816/index_en.html
Program:
Aug. 16 (Sun.)
13:10–13:20 Opening
13:20–14:00 Robert V. Kohn (Courant Institute) Prediction without proba-
bility: a PDE approach to a model problem from machine learning
14:10–14:50 Piotr Rybka (University of Warsaw) The method of viscosity
solutions for analysis of singular diffusion problems appearing in
crystal growth problems
15:20–15:40 Takeshi Ohtsuka (Gunma University) Evolution of spirals by
crystalline curvature and eikonal equation
15:40–16:00 Yasunori Maekawa (Tohoku University) Stability of
scale-critical circular flows in a two-dimensional exterior domain
16:15–17:30 Poster Session
19:00 Banquet
Aug. 17 (Mon.)
10:30–11:10 Charles M. Elliott (University of Warwick) Partial differential
equations on evolving domains
11:30–12:10 Zensho Yoshida (The University of Tokyo) Topological con-
straints and structures in macro (fluid and plasma) systems
vii
viii MathematicsforNonlinearPhenomena:Analysis…
14:00–14:40 MatthiasHieber(TUDarmstadt)Ajourneythroughtheworldof
incompressible viscous fluid flows: an evolution equation
perspective
14:50–15:30 Alex Mahalov (Arizona State University) Stochastic
three-dimensional rotating Navier-Stokes equations: averaging,
convergence, regularity and 3D nonlinear dynamics
16:00–16:40 Y.-H. Richard Tsai (University of Texas) Boundary integral
methods for implicitly defined interfaces
16:50–17:30 Ryo Kobayashi (Hiroshima University) Locomotion of animals,
design of robots and mathematics
Aug. 18 (Tue.)
10:00–10:40 Chun Liu (Penn State University) Transport of charged particles
in biological environments
11:00–11:40 Jürgen Saal (Düsseldorf University) Fluid flow and rotation: a
fascinating interplay
11:40 Closing
Poster Session
16:15–17:30, August 16, 2015
P1 Koichi Anada (Waseda University) Behavior of type II blow-up solutions
to a quasi-linear parabolic partial differential equation
P2 Tomoro Asai (Hiroshima City University) The self-similar solution for
fourth order curvature flow equation
P3 I-Kun Chen (Kyoto University) Singularity of macroscopic variables near
boundary for gases with cutoff hard potential
P4 Kiyoko Furuya (Ochanomizu University) On formally self-adjoint
Schrödinger operators with measurable potential
P5 Mitsuo Higaki (Tohoku University) Navier wall law for nonstationary
viscous incompressible flows
P6 Tetsuya Ishiwata (Shibaura Institute of Technology) Behavior of
polygons by area-preserving crystalline curvature flow
P7 TakashiKagaya(TokyoInstitute ofTechnology)Exponentialstabilityof
a traveling wave for an area preserving curvature motion
P8 Yuki Kaneko (Waseda University) Spreading and vanishing phenomena
for a free boundary problem of reaction-diffusion equations
P9 Kota Kumazaki (Tomakomai National College of Technology) A
mathematical model for concrete carbonation process
MathematicsforNonlinearPhenomena:Analysis… ix
P10 Michal Lasica (University of Warsaw) On the anisotropic curvature flow
of planar curves in the uniformly convex case
P11 Tatsuhiko Miura (The University of Tokyo) Zero width limit of the heat
equation on moving thin domains
P12 Tatsuya Miura (The University of Tokyo) Singular perturbation by
bending for an adhesive obstacle problem
P13 Masashi Mizuno (Nihon University) Convergence of the Allen-Cahn
equation with Neumann boundary conditions
P14 Atsushi Nakayasu (The University of Tokyo) On one-dimensional
singular diffusion equations with spatially inhomogeneous driving force
P15 Tokinaga Namba (The University of Tokyo) On cell problems for
Hamilton-Jacobi equations with non-coercive Hamiltonians and its appli-
cation to homogenization problems
P16 Masaki Ohnuma (Tokushima University) Cauchy problem of some
nonlinear parabolic equations with uniformly continuous initial data
P17 MichiakiOnodera(KyushuUniversity)Dynamicalapproachtoanelliptic
overdetermined problem
P18 Eugene B. Postnikov (Kursk State University), Anastasia Lavrova
(Immanuel Kant Baltic Federal University) The continuous wavelet
transformasananalysistoolfornon-linearoscillations[co-authoredbyE.B.
Postnikov, A.I. Lavrova and E.A. Lebedeva]
P19 Motohiko Sato (Wakkanai Hokusei Gakuen University) Dynamic
boundary conditions for singular degenerate parabolic equations
P20 Yukihiro Seki (Kyushu University) Recent results on blow-up for
nonlinear heat equations
P21 Masahiko Shimojo(Okayama UniversityofScience) On a free boundary
problem of a curvature flow with a driving force
P22 Ken Shirakawa (Chiba University), Hiroshi Watanabe (Salesian
Polytechnic)Energy-dissipations in non-isothermalphase-field systems
associated with grain boundary motions
P23 Takuya Suzuki (The University of Tokyo) On the Stokes resolvent
estimates for cylindrical domains
P24 KohtaroTadaki(ChubuUniversity)Anoperationalcharacterizationofthe
notion of probability by algorithmic randomness
P25 Kazutoshi Taguchi (The University of Tokyo) On the discrete
1-harmonicflows
P26 Go Takahashi (Waseda University) Extension criterion via Morrey type
functional on solutions to the Navier-Stokes equations
P27 Shuji Takahashi (Tokyo Denki University) On decay rate estimates in
subspaces for the Navier-Stokes equations
P28 Keisuke Takasao (The University of Tokyo) Existence of weak solution
for volume preserving mean curvature flow via phase field method
x MathematicsforNonlinearPhenomena:Analysis…
P29 Kota Uriya (Tohoku University) Final state problem for a system of
nonlinear Schrödinger equations with mass resonance
P30 Hiroshi Watanabe (Salesian Polytechnic)Well-posedness for strongly
degenerate parabolic equations
An Introduction of Yoshikazu Giga Through His Contributions
to Mathematics and Mathematical Society
1. Academic Career of Yoshikazu Giga
Yoshikazu Giga is a Professor of Mathematics at the University of Tokyo and
one of leading experts in mathematical analysis for nonlinear parabolic partial
differential equations. In his 37-year research career, his research interests have
included analysis of the Navier–Stokes equations, blow-up phenomena for semi-
linear heat equations, defect energy surface evolution equations, and singular dif-
fusion equations based on the theory of viscosity solutions.
YoshikazuGigawasborninTokyo,Japan,in1955.HestudiedattheUniversity
of Tokyo before taking his Ph.D. equivalent Master’s degree in 1981 under the
guidance of Prof. Daisuke Fujiwara. Then, he moved to Nagoya University as a
research associate. He officially received the degree of Doctor of Science from the
University of Tokyo in 1985. The defense committee included Prof. Seizô Itô and
Prof. Hiroshi Fujita. In his earlier career, he stayed at the Courant Institute of
Mathematical Sciences as a postdoc and the University of Maryland as a visiting
assistant professor. He also stayed at the Institute for Mathematics and its
Applications(IMA)oftheUniversityofMinnesotaasavisitingmember,beforehe
movedtotheDepartmentofMathematicsofHokkaidoUniversityin1986.Hewas
invited to many institutions in Japan as an intensive course lecturer, for example,
Kyushu University and the University of Tokyo. He became a full professor at
HokkaidoUniversityin1992,afterhewasinvitedtoUniversitätPaderbornin1987
asavisitingprofessorandIMAin1990.HewasinvitedtoJapan-U.S.Mathematics
Instituteof Johns Hopkins University in 1994. He was an Andrejewski Lecturer at
Humboldt-Universität zu Berlin in 1997 and a Rudolph-Lipschitz Lecturer at
UniversitätBonnin1999. He served asavisitingprofessoratKyoto Universityin
2002 and of Research Institute for Mathematical Sciences (RIMS) of Kyoto
University in 2004. He was invited to be a plenary lecturer at the International
Congress on Industrial and Applied Mathematics (ICIAM) in 2003. He moved to
theGraduateSchoolofMathematicalSciencesoftheUniversityofTokyoin2004.
HewasinvitedtomanyinstitutionsasacourselecturerincludingtheUniversitéde
Lyon (2005), Universität zu Köln (2008), University of Victoria (2011), and
University of Pittsburgh (2013). He will be invited as a section lecturer at the
International Congress of Mathematicians (ICM) in 2018.