Keywords
Profile
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: | ||
■Web site: |
Profile
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
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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
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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
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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