Mathematics for Nonlinear Phenomena — Analysis and Computation: In Honor of Yoshikazu Giga’s 60th Birthday, Sapporo, Japan, August 2015 PDF
Preview Mathematics for Nonlinear Phenomena — Analysis and Computation: In Honor of Yoshikazu Giga’s 60th Birthday, Sapporo, Japan, August 2015
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 This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today. More information about this series at http://www.springer.com/series/10533 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 LibraryofCongressControlNumber:2017951151 ©SpringerInternationalPublishingAG2017 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authorsortheeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinor for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. Printedonacid-freepaper ThisSpringerimprintispublishedbySpringerNature TheregisteredcompanyisSpringerInternationalPublishingAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland 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.
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