メイン＞研究室紹介＞森本ゼミ＞業績等

業績等:森本教授

論文リスト

Time periodic Navier-Stokes flow with nonhomogeneous boundary condition, MIMS Technical Report No.00017(200903181)

Stationary Navier-Stokes Flow in 2-D Channels involving the General Outflow Condition, Handbook of Differential Equations,  Stationary Partial Differential Equations, Vol. 4, pp. 299--353, Ed. M.  Chipot and P. Quittner, Elsevier, 2007

On the pressure drop of the Navier-Stokes flows in 3-D channel containing an
obstacle, MIMS report No. 062004  

The stationary Navier-Stokes flow in 2-D multiply connected channels involving
the general outflow condition, MIMS report No.052004,

A remark on the existence of 2-D steady Navier-Stokes flow in symmetric domain
under general outflow condition, MIMS report No.042004,
(accepted J. Mathematical Fluid Mechanics, August 17 2005)

A remark on the pressure for the Navier-Stokes flows in 2-D straight channel
with an obstacle, Mathematical Methods in the Applied Sciences, Vol. 27
pp.891-906(2004)

Stationary Navier-Stokes flow in 2-dimensional V-shaped infinite channel under
general outflow condition, ''Topics in Mathmatical Fluid Dynamics'' Ed. Remigio Russo,  Quaderni di Matematica, Vol.10, pp.125-136(2002)

A remark on the existence of steady Navier-Stokes flows  in a certain two
dimensional infinite tube (with H. Fujita), Tokyo Journal of Mathematics, Vol.25, No.2, pp.307-321(2002)

Stationary Navier-Stokes flow in 2-dimensional Y-shaped channel under general
outflow condition, ^^ ^^ The Navier-Stokes Equations: Theorey and Numerical Methods'' Ed.  Rodolfo Salvi, Lecture Note in Pure and Applied Mathematics Series/223, pp.65-72(2001) Marcel Decker

A remark on the existence of steady Navier-Stokes flows in 2D semi-infinite
channel involving the general outflow condition (with H.Fujita), Mathematica
Bohemica, Vol.126 No.2 pp.457-468(2001)

On stationary Navier-Stokes flows in 2D semi-infinite channel involving the
general outflow condition, (with H. Fujita) Ann. Univ. Ferrara, Sez.VII-Sc.Mat. Vol.XLVI,285-290(2000)

Remarks on the blow-up criterion for 3D Boussinesq equations (with N. Ishimura),Mathematical Models and Methods in Applied Sciences, 9(9), pp.1323-1332, 1999

General outflow condition for Navier-Stokes flow, Lecture Note in Numerical and Applied Analysis 16, Recent topics on mathematical theory of viscous
incompressible fluid, pp.209-224, ed. H. Kozono - Y. Shibata, Kinokuniya, Tokyo, 1998

Perturbation of the Boussinesq flow in an annular domain with general outflow
condition, joint work with S. Ukai, Proceedings of International Conference on
Navier-Stokes Equations: Theory and Numerical Methods, 2-6 June 1997, Villa
Monastero, Varenna, Italy

Navier-Stokes Equations: theory and numerical methods, Ed. R. Salvi, Pitmann
Research Series 388, pp.67-75, Adison Wesley Longmann 1998

Note on stationary Boussinesq equations in a bounded domain under general
outflow condition, Navier-Stokes Equations and Related Nonlinear Problems,
Proceedings of Sixth International Conference NSEC6, Palanga, Lithuania,
22-29 May 1997, Ed. Amann, Galdi, Pileckas, Solonnikov, pp.183-193,
VSP BV & TEV 1998

Stationary solutions for the Navier-Stokes equations and the Boussinesq
equations under general outflow condition「非線形発展方程式とその応用」研究集会報告集 京都大学数理解析研究所講究録 1009, 1997.8

 円環領域における Navier-Stokes 方程式の一般流速条件のもとでの境界値問題への注意, 明治大学科学技術研究所紀要 vol.35, No.7, pp.95-102, 1997

Stability analysis of the Navier-Stokes flows in annuli(with H. Fujita,
H. Okamoto) , Mathematical Methods in the Applied Sciences, vol. 20, pp.959-978, 1997

Perturbation of the Navier-Stokes flow in annular domain with the non-vanishing outflow condition (with S.Ukai),  J. Mathematical Sciences, Univ. Tokyo, Vol.3(1996), pp.73-82

Stationary Navier-Stokes equations under the boundary condition with
non-vanishing outflow (in Japanese)  「超関数と微分方程式」京都大学数理解析研究所講究録 935, 1996.1

A remark on the existence of the Navier-Stokes flow with non-vanishing outflow
condition (with H. Fujita),  Nonlinear waves : Proceedings of the 4th MSJ
International Reseach Institute, Sapporo 1995.7,  PP.50-58 Gakuto International Series Mathematical Science and Applications Vol.10 (1997) Nonlinear Waves,
pp.53-61

Stationary Navier-Stokes equations with  non-vanishing outflow condition.
Hokkaido Math. J. Vol.24(1995), pp.641-648

Perturbation of the Navier-Stokes flow in annular domain with the non-vanishing outflow condition (with S.Ukai)「流体とプラズマの諸現象の数学解析」京都大学数理解析研究所講究録 914, PP.40-47, 1995.6

Remarks on exact solutions to the Navier-Stokes equations under some slip
boundary condition, 明治大学科学技術研究所紀要 Vol.33, No.7, pp.89-96,1994

Asymptotic behavior of weak solutions of equations of heat convection, Lecture
Notes in Mathematics 1540, pp.269-276(1993)  

A solution to the stationary Navier-Stokes equations under the boundary
condition with non-vanishing outflow, 明治大学科学技術研究所紀要 vol.31, pp.7-12, 1992

Non-stationary Boussinesq equations, J.Fac.Sci.Univ.Tokyo, Sec.IA, Vol.39, No.1, pp.61-75, March (1992)

On the existence and uniqueness of equations of natural convection,  Tokyo
Journal of Mathematics, Vol.14, pp.217-226, June 1991.

On Non-stationary Boussinesq Equations, Proc. Japan Acad.,Vol.67, Ser.A , pp.159-161(1991)

Reproductive property of the Boussinesq equation, 京都大学数理解析研究所講究録
739, pp.178-185, 1991年1月

On the existence of weak solutions of stationary Boussinesq equation,  京都大学数理解析研究所講究録 734, pp.59-71, 1990年12月　

熱対流方程式の弱解の t ---> 無限大 での挙動. 第１１回発展方程式若手セミナー報告集,  pp.41-46 1990年4月

Boussinesq方程式の漸近安定な解について. 応用数学合同シンポジウム研究報告集, 1989年12月

On the existence and uniqueness of a weak solution of non-stationary Boussinesq equation  第１０回発展方程式若手セミナー報告集,  pp.192-198 1989年11月

On the existence of weak solutions of equations of natural convection , J. Fac. Sci. Univ. Tokyo, Sec.IA, Vol.36, N0.1, pp.87-102(1989)

On a degenerate parabolic problem.   明治大学科学技術研究所要 第２６冊 No.12 p.1-4 (1987)

Navier-Stokes 方程式の一近似.  明治大学科学技術研究所紀要 第２３冊  p.1-16(1984)
Quelques proprietes de la projection de L^r(\Omega)  associee a la decomposition de Helmholtz, J. Fac. Sci. Univ. Tokyo, Sec IA, Vol.28, p.65-69(1981)

Une remarque sur l'operateur gradient. J. Fac. Sci. Univ. Tokyo, Sect IA, Vol.28, p.57-64(1981)

L^r$-theorem of Helmholtz decomposition of vector fields(with D. Fujiwara).
J. Fac. Sci. Univ. Tokyo, Sect IA, Vol.24, p.685-700(1977)

L^r(R_+＾3) におけるストークス作用素の分数べきの定義域について. 明治大学工学部研究報告  No.32(1977)

ナビエーストークス方程式の初期値問題について. 明治大学科学技術究所紀要  第１３冊(1974)

Continuity property of the operator defined through the Fourier transform.
 明治大学工学部研究報告  No.29(1974)

 L_p(R^3) におけるストークス作用素の１性質. 明治大学工学部研究報告 No.28(1973)
ある射影作用素Pについて.　 明治大学工学部研究報告　No.26,27 (1972).

壁面が周期的な運動をする場合のナビエ・ストークス方程式について. 京都大学数理解析研究所講究録 164(1972)

Stokes 作用素等の分数べきの定義域について. 京都大学数理解析研究所講究録 136
(1972)

On existence of periodic weak solutions of the Navier-Stokes equations in
regions with periodically moving boundaries. J. Fac. Sci. Univ. Tokyo, SectIA,
Vol.18, No.3, p.499-524(1972).

On fractional powers of the Stokes operator(with H. Fujita). Proc. Japan Acad.
Vol.46, No.10,p.1141-1143(1970)

Sur la reflexivite de l'espace S(p_0,\xi_0,A_0 : p_1,\xi_1,A_1), C. R. A. Sci. Paris, t.264, p.325-328(1967).

講演リスト

Time periodic solution of heat convection equations under general outflow condition, International Conference on Kinetic and Related Models, Wuhan, China, 2009年 4 月1日--4日

非斉次境界条件のもとでの熱対流方程式の時間周期解の存在, 日本数学会年会函数方程式分科会, 東京大学, 2009年3月26日--29日

Time Periodic Solution of Heat Convection Equation with Nonhomogeneous Boundary Condition, Workshop on Mathematical Fluid Dynamics, Darmstadt, Germany, 2008年 9月 8日 -- 9月 10日

Periodic Flow under General Outflow Condition, Parabolic and Navier-Stokes Equations in honor of Prof. Solonnikov, The Mathematical Research and Conference Center, Bedlewo, Poland, 2008年 8月 31日 -- 9月 6日

一般流束条件下での周期的な流れ, 第57回理論応用力学講演会, NCTAM2008, 2008年6月12日, 日本学術会議

小林徹平・森本浩子 Time periodic Navier-Stokes equations under general outflow condition, 日本数学会年会函数方程式分科会, 近畿大学 2008年3月25日(発表 小林)

非斉次境界条件のもとでのNavier-Stokes 方程式の時間周期解 応用解析研究会 早稲田大学理工学部 2007年 10月 20日

Time periodic Navier-Stokes flow with nonhomogeneous boundary condition, 日本数学会秋季総合分科会函数方程式分科会, 東北大学, 2007年 9月 23日

非斉次境界条件のもとでのNavier-Stokes 方程式の時間周期解 数理解析セミナー 明治大学 2007年7月23日

Nonstationary Navier-Stokes equations with nonhomogeneous boundary condition, Seminar, Universita degli Studi di Ferrara, Facolta di Ingegneria, 2007.3.19.

Navie-Sotkes 方程式と一般流束条件, 「第２回非線形の諸問題」, つるみ荘, 別府, 2006.9.28-30

On the pressure drop for the Navier-Stokes flow in 2-D channel with obstacles---nonhomogeneous boundary data case---International Conference Nonlinear Paraboloc Problems Helsinki 17-21 October 2005,

線形化2層流体問題(小林徹平との共同研究), 日本応用数理学会年会, 東北大学, 2005.9.23-25

On the pressure drop of the Navier-Stokes flows in 3-D  channel containing  
an obstacle, P.D.E. in Mathematical Physics, in memory of Olga A. Ladyzhenskaya,Levico Terme, Trento, Italy,  2004.10.25-30

On the pressure of the Navier-Stokes flows in 2-D  channel containing  
an obstacle, 日本数学会秋季総合分科会, 千葉大学, 2003.9.24-27.

A remark on the pressure for the Navier-Stokes flows in 2-D straight channel
with an obstacle, 研究集会「Recent topics in nonlinear PDE」 湯沢カルチャーセンター   2003.1.6-8.

Exponential decay at the infinity of steady Navier-Stokes flows in 2-D semi-
infinite channel,  NSEC8, St.Petersburg(Russia) 2002.9.11-18.

Exponential decay at the infinity of steady Navier-Stokes flows in 2-D semi-
infinite channel, 応用解析セミナー   早稲田大学  2002.6.15.

２次元管状領域におけるNavier-Stokes方程式の解の無限遠における挙動について,
生田応用解析セミナー  明治大学  2002.5.13.

Exponential decay at the infinity of steady Navier-Stokes flows in 2-D semi-
infinite channel, 日本数学会年会, 明治大学, 2002.3.28-31

Steady Navier-Stokes flow in 2-D bounded symmetric domain under general outflow condition, 日本数学会年会, 明治大学, 2002.3.28-31.

一般流速条件のもとでの２次元定常Navier-Stokes流について, 第27回発展方程式研究会, 中央大学, 2001.12.20-22.

A Remark on the Existence of 2-D Steady Navier-Stokes Flow under General Outflow Condition, Fourth European Conference on Elliptic and Parabolic Problems:
Theory-Applications, June 18-22, 2001, Rolduc, Netherlands.

Navier-Stokes Flows in 2-D Channels Involving General Outflow Condition,
Workshop on Flow Problems, June 16, 2001, Darmstadt, Germany.

対称無限管における Navier-Stokes 流、ワークショップ「非線型問題の探求」、2001年
3月2日、電気通信大学.

2次元Ｙ字型無限管における定常 Navier-Stokes 流、第１８回九州における偏微分方程式研究集会、2001年1月30日ー2月1日、九州大学.

Stationary Navier-Stokes flow under general outflow condition, AMC 2000, Manila, Phillipines, 23-27 October, 2000.

2次元Ｙ字型無限管における 定常 Navier-Stokes 流について, 日本数学会秋季総合分科会 函数方程式分科会（京都大学）2000年9月24-27日.

Stationary Navier-Stokes flow in 2-dimensional Y-shaped infinite channel under
general outflow condition, International Conference on Navier-Stokes Equations:
Theory and Numerical Methods, Varenna, Italy,  12-16 June 2000.

Navier-Stokes flow involving general outflow condition, Seconda Universita degli Studi di Napoli, Caserta, 2 June 2000.

Stationary Navier-Stokes flow in 2-dimensional V-shaped infinite channel under
general outflow condition, Topics in Mathmatical Fluid Dynamics, Capo Miseno,
Italy, 27-30 May 2000.

多重連結な半無限管内の Navier-Stokes 方程式の定常解について  研究集会「Recent topics in nonlinear partial differential equation」
主催：増田久弥、三村昌泰、西田孝明, 妙見ホテル 2000年1月6-8日.

Stationary Navier-Stokes flow in a certain channel involving general outflow
condition,International Conference on Partial Differential Equations and
Applications, Olomouc(Czech Republic), December 13-17 1999.

V 字型無限管内の２次元ナヴィエストークス方程式の定常解について, 日本数学会秋季総合分科会、函数方程式分科会（広島大学）1999年9月30日.

On the stationary Navier-Stokes flows in 2D semi-infinite tube under general
outflow condition, NSEC7, Ferrara, Italy, September 16 1999.

A remark on the existence of the Navier-Stokes flow in 2D tube-like domain  
under general outflow condition, 日本数学会函数方程式分科会（大阪大学）1998年
10月3日.

On the existence of steady Navier-Stokes flow in 2D tube-like domain under
general outflow condition,  ICM98, Berlin,Germany,  August 20 1998.

Navier-Stokes flow in 2D tube-like domain under general outflow condition,
 Universitat Paderborn, Paderborn, Germany,  August 14 1998.

A remark on the existence of the Navier-Stokes flow in 2D tube-like domain under general outflow condition,  5th MAFPD, 29 June-3 July, 1998, Maui, Hawai,
U.S.A.

Steady Navier-Stokes flow in a twodimensional tube under general outflow
condition, Seminario de Matematica Aplicada e Analise Numerica, 12 March 1998,
Instituto Superior Tecnico, Departamento de Matematica, Lisboa, Portugal.

Stationary solution to the Boussinesq equations in an annular domain under
general outflow condition, International Conference on Navier-Stokes Equations:
Theory and Numerical Methods,2-6 June 1997, Villa Monastero, Varenna, Italy.

Note on stationary Boussinesq equations in a bounded domain under general
outflow condition, NSEC6, Sixth International Conference on Navier-Stokes
Equations and Related Nonlinear Problems, 22-29 May 1997, Palanga, Lithuania.

A stationary solution to the Boussinesq equations in an annulus, 第1回 流体力学の数学解析, 15-17 May 1997, 京都大学大学院人間環境研究科.

General outflow condition for the Navier-Stokes flow「実解析的方法の非線形発展方程式への応用」研究集会 1996.12.2-13 筑波大学.

Stationary solutions for the Navier-Stokes equations and the Boussinesq
equations under general outflow condition, 「非線形発展方程式とその応用」
研究集会, 1996.10.21-23, 京都大学数理科学研究所.

On the existence of solutions to the stationary Navier-Stokes equations under
general outflow condition (Poster), International Workshop on Theoretical and
Numerical Fluid Mechanics, July 29-August 2, 1996, Vancouver, Canada.

Further remarks on the existence of the Navier-Stokes flow with non-vanishing
outflow condition, NSEC5, May 20-May 24, 1996,  Kruger National Park, South
Africa.

Stationary Boussinesq equations under non-vanishing outflow condition, 1996年4月 日本数学会年会函数方程式分科会 新潟大学

A remark on the existence of the Navier-Stokes flow with non-vanishing outflow
condition, MSJIRI on Nonlinear wave 1995.7.  Sapporo

Perturbation of the Navier-Stokes flow in annular domain with the non-vanishing outflow condition (with S.Ukai), NSEC4 1995.5.22-27.  Toulon-Hyeres, France

定常ナヴィエ・ストークス方程式とnon-vanishing outflow condition, 「応用解析」研究会 1995.3.11.早稲田大学理工学部

Perturbation of Navier-Stokes flow in annular domain with general outflow
condition,  「流体とプラズマの諸現象の数学解析」研究集会 京都大学数理解析研究所  1994.10.19.

滑り境界条件のもとでのナウィエストークス流, 日本応用数理学会平成6年度年会
1994.9.19

Stationary Navier-Stokes equations under general outflow condition, ICM94 Zurich Poster Session, 1994.8.5.

Stationary Navier-Stokes equations under the boundary condition
with non-vanishing outflow , 「超関数と微分方程式」研究集会 1994.1.11-13 京都大学数理解析研究所

定常Navier-Stokes 方程式の非斉次境界値問題,  東海大学セミナー  1992.12.7.

On the periodic problem of natural convection, International  Conference on
Nonlinear and Microlocal Analysis, Tianjin, China, August 19-23,1991.

Weak solution to the equations of natural convection, 南開数学研究所(中国, 天津),1991.8.16.

Asymptotic behavior of solutions of the convection equations, International
Conference on Functional Analysis and Related Topics, 1991.7.29-8.2 京都大学数理解析研究所

対流方程式の弱解の漸近挙動について, 東京工業大学にて 1991.6.28. 東工大・慶応大 非線形解析セミナー

0n periodic solution of Boussinesq equations, 「流体とプラズマの諸現象の解析」研究集会 1990年9月 京都大学数理解析研究所

Boussinesq方程式の漸近安定な解について.  応用数学合同シンポジウム 1989年12月  
京都大学数理解析研究所

Asymptotic behavior of weak solution of equations of heat convection, 日本数学会秋期総合分科会函数方程式分科会,  1989年9月

対流方程式の解の t---> 無限大 での挙動. 第11回発展方程式若手セミナー,  1989年8月,  高野山

Reproductive property of the Boussinesq equation, 「流体方程式の解の空間的構造」研究集会 1989年7月 京都大学数理解析研究所

On the existence of weak solutions of stationary Boussinesq equation, 「流体とプラズマの数理解析」研究集会  1988年11月 京都大学数理解析研究所

壁面が周期的な運動をする場合のナビエ・ストークス方程式について, 短期共同研究
「Navier-Stokes方程式等の位相解析的数値解析的研究」京都大学数理解析研究所  
1972年

Stokes 作用素等の分数べきの定義域について 「補間空間の理論およびその応用」 研究集会 京都大学数理解析研究所  1972年