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NAGASAWA Takeyuki

Faculty: Graduate School of Science and Engineering TEL:
Position: Professor  Manager(Dean) ■FAX:
Address: 255 Shimo-Okubo, Sakura-ku, Saitama City, Saitama 338-8570, JAPAN ■Mail Address:
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Assigned Class

Faculty of Science
Education Planning Office

Academic Background

Graduate School
Keio University , (Doctor later) , 1988(Completed)
Keio University , (Doctor prophase) , 1985(Completed)
College
Keio University , 1983(Graduated)
Degree
Doctor of Science , Keio University, Japan , One-dimensional analysis for the motion of compressible viscous heat-conductive fluid

Research

Books, Articles, etc.

Books
ルベーグ流 測度論と積分論
共立出版:1-468 202103
ISBN:978-4-320-11442-5
長澤 壯之

条件付き勾配流
東北大学大学院理学研究科,大学院レクチャーノートシリーズ,25 2011
長澤壯之

基礎線形代数
学術図書 2003

基礎微積分
学術図書 2000
高橋豊文との共著

基礎課程微分方程式
培風館 1996
吉野崇との共著

Articles
A Möbius invariant discretization of O'Hara's Möbius energy
,J. Knot Theory Ramifications,31(3):Paper No. 2250016 2022
S. Blatt, A. Ishizeki & T. Nagasawa

Decomposition of generalized O'Hara's energies
,Math. Z.:https://doi.org/10.1007/s00209-020-02601-w 2020
A. Ishizeki & T. Nagasawa

Upper and lower bounds and modulus of continuity of decomposed Möbius energies
,J. Geom. Anal.:https://doi.org/10.1007/s12220-020-00496-x 2020
A. Ishizeki & T. Nagasawa

Asymptotic distribution of eigenvalues of Hill's equation with integrable potential under periodic condition
埼玉大学大学院理工学研究科,Saitama Math. J.,27:1-8 2011
Takeyuki Nagasawa, Hirotaka Ohrui

Gradient flow for the Helfrich variational problem
京都大学数理解析研究所,数理解析研究所考究録,1740:11-23 2011
Tajeyuki Nagasawa

Local existence and uniqueness for the n-dimensional Helfrich flow as a projected gradient flow
:投稿中 2011
Takeyuki Nagasawa, Taekyung Li

Asymptotic distribution of eigenvalues of Hill's equation with integrable potential under periodic condition
埼玉大学大学院理工学研究科,Saitama Math. J.:掲載予定 2010
Takeyuki Nagasawa, Hirotaka Ohrui

Hill の方程式の固有値の漸近分布について
,盛岡応用数学小研究集会報告集:掲載予定 2010
長澤壯之

How to unify the total/local-length-constrains of the gradient flow for the bending energy of plane curves
ÚTIA,Kybernetika,45(4):615-624 2009
Yuki Miyamoto, Takeyuki Nagasawa, Fumito Suto

On the gradient flow for a shape optimization problem of plane curves as a singular limit
,Proc. Ryukoku Workshop 2007 “Recent Advances on Nonlinear Parabolic and Elliptic Differential Equations” (ed.: Y. Morita, H. Ninomiya & E. Yanagida) :64-73 2008
Takeyuki Nahgasawa

On the gradient flow for a shape optimization problem of plane curves as a singular limit
,Saitama Math. J.,24:43-75 2007
Tomohiko Kurihara, Takeyuki Nagasawa

流体力学に現れる非線形偏微分方程式の解の構造の研究
埼玉大学総合研究機構,総合研究機構研究プロジェクト研究成果報告書,第5号(18年度):193-194 2007
長澤壯之
Structure of Solutions for Nonlinear Partial Differential Equations in Fluid Mechanics

On the existence of solutions of the Helfrich flow and its center manifold near spheres
,Differential Integral Equations,19(2):121-142 2006
Y. Kohsaka, T. Nagasawa

群同変性分岐理論を用いたヘルフリッヒ変分問題の安定性解析
埼玉大学総合研究機構,総合研究機構研究プロジェクト研究成果報告書,第4号(17年度) 2006
長澤壯之
Stability analysis of the Helfrich variational problem using the equivariant bifurcation theory

群同変性分岐理論を用いた幾何学的変分問題の安定性解析
埼玉大学総合研究機構,総合研究機構研究プロジェクト研究成果報告書,16年度 2005
長澤壯之
Stability analysis of geometric variational problems using the equivariant bifurcation theory

超曲面に対する幾何学的発展方程式に関する研究
,科学研究費補助金基盤研究(C)(2)研究成果報告書,平成15-16年度 2005
長澤壯之,小池茂昭,阪本邦夫,太田雅人,下川航也,高木泉,柳田英二,有澤真理子,高坂良史,立川篤 

Bifurcating critical points of bending energy with constraints related to the shape of red blood cell
Calc. Var. Partial Differential Equations,16(1):63-111 2003
With I. Takagi

Numerical computations for motion of vortices governed by a hyperbolic Ginzburg-Landau system (with K. Nakane & S. Omata)
Nonlinear Anal.,51(1):67-77 2002

A new energy inequality and partial regularity for weak solutions of Navier-Stokes equations
J. Math. Fluid. Mech.,3(1):40-56 2001

A refinement of the energy inequality for the Navier-Stokes equations
Nonlinear Anal,47(6):4245-4256 2001

Blow-up solutions for ordinary differential equations associated to harmonic maps and their applications
J. Math. Soc. Japan,53(2):485-500 2001
With A. Tachikawa

Closed surfaces minimizing the bending energy under prescribed area and volume
International Conference on Differential Equations Berlin World Scientic, Singapore,1999(1):561-563 2000
With I. Takagi, Ed.: F. Fiedler, K. Groeger & J. Sprekels

Construction of weak solutions of the Navier-Stokes equations on Riemannian manifold by minimizing variational functionals
Adv. in Math. Sci. Appl.,9(1):51-71 1999

Initial-final value problems for a ordinary differential equations and applications to equivariant harmonic maps
J. Math. Soc. Japan,50(3):545-555 1998
With K. Ueno

Numerical computations for a hyperbolic Ginzburg-Landau system
Invited Lectures delivered at the eighth International Colloquium on Differential Equations Academic Publications, Plovdiv,2:89-97 1998
With K. Nakane & S.Omata, Ed.: D. Kolev

Navier-Stokes flow on Riemannian maniblds
Nonlinear Anal,30(2):825-832 1997

A variational method to construct weak solutions of nonlinear hyperbolic equations
Invited Lectures and Short Communications delivered at the Sixth International Colloquium on Differential Equations Impulse-M, Plovdiv,1:279-287 1996
Ed.: D. Bainov

Existence and asymptotic behavior of weak solutions to semilinear hyperbolic systems with damped terms
Tsukuba J. Math.,20(1):51-64 1996
With A. Tachikawa

Weak solutions of a semilinear hyperbolic system on a nondecreasing domain
Math. Methods Appl. Sci.,19(16):1303-1316 1996
With A. Tachikawa

Existence and asymptotic behavior of weak solutions to strongly damped semilinear hyperbolic system
Hokkaido Math. J. 24,24(1):387-405 1995
With A. Tachikawa

The set of solutions for certain semilinear heat equations
Tohoku Math. J. (2),47(1):99-103 1995

An elementary proof of the blow-up phenomena for the heat equation with non linear boundary conditions
Nonlinear Paftial Differential Equations International Academic Publisher, Beijing:197-204 1993
Ed.: G. Dong & F. Lin

Discrete Morse semiflows and their convergence of a fuctional with free boundary
Nonlinear Paftial Differential Equations International Academic Publisher, Beijing:205-213 1993
With S. Omata, Ed.: G. Dong & F. Lin

Discrete Morse semiflows of a functional with free boundary
Adv. in Math. Sci. Appl.,2(1):147-187 1993
With S. Omata

Uniqueness and Widder's theorems for the heat equation on Riemannian manifolds
Geometry and Its Applications World Scientific, Singapore:161-173 1993
Ed.: T. Nagano, H. Omori, Y. Maeda & M. Kanai

The rate of convergence for chemical interfacial reaction models
Funkcial. Ekvak.,35(3):515-531 1992

Boundary value problems to a certain class of nonlinear diffusion equations
Math. Methods Appl. Sci.,14(2):79-92 1991

Asymptotical stability of Yang-Mills' gradien flow
Geometry of Manifolds Perspect. Math. 8, Academic Press, Boston:499-517 1989
Ed.: K. Shiohama

Lp,q-estimates for certain semi-linear parabolic equations
Tohoku Math. J. (2),41(4):597-608 1989

On the one-dimensional free boundary problem for the heat-conductive compressible viscous gas
Recent Topics in Nonlinear PDE IV North-Holland/Kinokuniya, Tokyo:83-99 1989
Ed.: M. Mimura & T. Nishida

Global asymptotics of the outer pressure problem with free boundary
Japan J. Appl. Math.,5(2):205-224 1988

On the asymptotic behavior of the one-dimensional motion of the polytropic ideal gas with stress-free condition
Quart. Appl. Math.,46(4):66-679 1988

On the outer pressure problem of the one-dimensional polytropic ideal gas
Japan J. Appl. Math.,5(1):53-85 1988

Weak asymptotical stability of Yang-Mills' gradient flow
Tokyo J. Math.,11(2):339-357 1988
With K. Kono

On the one-dimensional motion of the polytropic ideal gas non-fixed on the boundary
J. Differential Equations,65(1):49-67 1986

Presentation
O’Haraエネルギーの分解と評価
東北大学理学部数学科談話会 202011
長澤 壯之

Upper and lower bounds and modulus of continuity of decomposed Möbius energies
第45回偏微分方程式札幌シンポジウム 202008
T. Nagasawa

一般回転数の平面閉曲線に対する非局所曲率流の漸近解析
早稲田大学 応用解析研究会 202007
長澤 壯之

The n-dimensional Henfrich flow
東北大学大学院理学研究科,International Workshop on PDE “Concentrationand Related Topics in Nonlinear Problems” 201011
長澤壯之

n-dimensional Henfrich flow
山口大学理学部,The Sixth “Topics in Nonliner Problems” 201009
長澤壯之

Helfrich流に対するGramian評価について
熊本大学理学部,熊本大学応用解析セミナー 201007
長澤壯之

Gradient flow for the Helfrich variational problem
京都大学数理解析研究所,New Trends of Variational Problems 201006
長澤壯之

Asymptotic distribution of eigenvalues of Hill's equation with integrable potential under periodic condition
兵庫県立大学他,偏微分方程式姫路研究集会 201002
Takeyuki Nagasawa

Hill の方程式の固有値の漸近分布について
東京工業大学,非線形解析セミナー 201001
長澤壯之
大岡山

Hill の方程式の固有値の漸近分布について
盛岡大学,盛岡応用数学小研究集会 200911
長澤壯之

Constrained gradient flows of bending energy for plane curves: Total-length constraint versus local-length constraint
奈良女子大学、JST,Variational Problems for Curves and Surfaces and Related Topics 200907
Takeyuki Nagasawa

Others
書評 ウィリアム・ダンハム著 一樂重雄・實川敏明訳 「微積分名作ギャラリー ニュートンからルベーグまで」
,数学通信,15(4):138-140 2011

結び目のエネルギー:入門と最近の話題