Mathematical modeling for a nonlinear phenomena appearing engineering field and its analysis

• Project/Area Number: 20540205
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Global analysis
• Research Institution: Gifu University
• Principal Investigator: AIKI Toyohiko 岐阜大学, 教育学部, 准教授 (90231745)
• Co-Investigator(Kenkyū-buntansha): ISHIWATA Tetsuya 芝浦工業大学, システム理工学部, 准教授 (50334917)
• Project Period (FY): 2008 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000); Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2008: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
• Keywords: 非線形現象 / 形状記憶合金 / コンクリートの中性化 / 自由境界問題 / 弱解の一意性

Research Abstract

We consider the mathematical model for dynamics of a sensor made of shape memory alloys. We established the well-posedness of our model without the smallness condition for initial data even if the temperature filed is unknown.
Also, we study a one-dimensional free boundary problem as a mathematical model describing the concrete carbonation process. In this research we could guarantee the experimental law that the carbonation depth is proportionally to the square root of the time from mathematical modeling point of view.

Research Products

• [Journal Article] On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit (2012)
  • Author(s): T. Aiki, M. Anthonissen, A. Muntean
  • Journal Title: Discrete and Continuous Dynamical Systems Series S Volume: Vol.5 Pages: 15-28
  • Peer Reviewed
• [Journal Article] On the existence of a weak solution to a free boundary problem for a model of a shape memory alloy spring (2012)
  • Author(s): T. Aiki
  • Journal Title: Discrete and Continuous Dynamical Systems Series S Volume: Vol.5 Pages: 1-13
  • Peer Reviewed
• [Journal Article] Mathematical model for hysteresis phenomenon in moisture transport of concrete carbonation process (2012)
  • Author(s): T. Aiki, K. Kumazaki
  • Journal Title: Physica B Volume: Vol.407 Pages: 1424-1426
  • Peer Reviewed
• [Journal Article] FINITE DIFFERENCE SCHEME FOR THE LANDAU-LIFSHITZ EQUATION (2012)
  • Author(s): A. Fuwa, T. Ishiwata and M. Tsutsumi
  • Journal Title: Japan Journal of Industrial and Applied Mathematics Volume: Volume 29, Issue 1 Pages: 83-110
  • NAID: 10030213940
  • Peer Reviewed
• [Journal Article] On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit (2012)
  • Author(s): T.Aiki, M.Anthonissen, A.Muntean
  • Journal Title: Discrete and Continuous Dynamical Systems Series S Volume: 5 Pages: 15-28
  • Peer Reviewed
• [Journal Article] On the existence of a weak solution to a free boundary problem for a model of a shape memory alloy spring (2012)
  • Author(s): T.Aiki
  • Journal Title: Discrete and Continuous Dynamical Systems Series S Volume: 5 Pages: 1-13
  • Peer Reviewed
• [Journal Article] Mathematical model for hysteresis phenomenon in moisture transport of concrete carbonation process (2012)
  • Author(s): T.Aiki, K.Kumazaki
  • Journal Title: Discrete and Continuous Dynamical Systems Series S Volume: 407 Pages: 1424-1426
  • Peer Reviewed
• [Journal Article] FINITE DIFFERENCE SCHEME FOR THE LANDAU-LIFSHITZ EQUATION (2012)
  • Author(s): A.Fuwa, T.Ishiwata, M.Tsutsumi
  • Journal Title: Japan Journal of Industrial and Applied Mathematics Volume: 29 Pages: 83-110
  • NAID: 10030213940
  • Peer Reviewed
• [Journal Article] Finite difference scheme for the Ericksen-Leslie equation (2012)
  • Author(s): A.Fuwa, T.Ishiwata
  • Journal Title: Proceedings of Czech Japanese Seminar in Applied Mathematics 2010, in COE Lecture Note Volume: 36 Pages: 26-35
  • Peer Reviewed
• [Journal Article] The position of the joint of shape memory alloy and bias springs (2011)
  • Author(s): T. Aiki
  • Journal Title: Discrete and Continuous Dynamical Systems Series S Volume: Vol.4 Pages: 239-246
  • Peer Reviewed
• [Journal Article] On uniqueness of a weak solution of one-dimensional concrete carbonation proble (2011)
  • Author(s): T. Aiki, A. Muntean
  • Journal Title: Discrete and Continuous Dynamical Systems Series A Volume: Vol.29 Pages: 1345-1365
  • Peer Reviewed
• [Journal Article] Asymptotic behavior of blow-up solutions to a degenerate parabolic equation (2011)
  • Author(s): K. Anada and T. Ishiwata
  • Journal Title: Journal of Math-for-Industry Volume: Vol.3 Pages: 1-8
  • Peer Reviewed
• [Journal Article] Motion of essentially admissible V-shaped polygonal curves governed by generalized crystalline motion with a driving force (2011)
  • Author(s): T. Ishiwata
  • Journal Title: Journal of Math-for-Industry Volume: Vol.3 Pages: 21-25
  • Peer Reviewed
• [Journal Article] On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect (2011)
  • Author(s): T. Ishiwata
  • Journal Title: Discrete and Continuous Dynamical Systems Series S Volume: vol.4, no.4 Pages: 865-873
  • Peer Reviewed
• [Journal Article] Motion of polygonal curved fronts by crystalline motion : V-shaped solutions and eventual monotonicity (2011)
  • Author(s): T. Ishiwata
  • Journal Title: Discrete and Continuous Dynamical Systems Volume: Volume 1 Pages: 717-726
  • Peer Reviewed
• [Journal Article] Motion of essentially admissible V-shaped polygonal curves governed by generalized crystalline motion with a driving force (2011)
  • Author(s): T.Ishiwata
  • Journal Title: Journal of Math-for-Industry Volume: 3 Pages: 21-25
  • Peer Reviewed
• [Journal Article] The position of the joint of shape memory alloy and bias springs (2011)
  • Author(s): T.Aiki
  • Journal Title: Discrete and Continuous Dynamical Systems Series S Volume: 9 Pages: 239-246
  • Peer Reviewed
• [Journal Article] On uniqueness of a weak solution of one-dimensional concrete carbonation problem (2011)
  • Author(s): T.Aiki, A.Muntean
  • Journal Title: Discrete and Continuous Dynamical Systems Series A Volume: 29 Pages: 1345-1365
  • Peer Reviewed
• [Journal Article] Motion of polygonal curved fronts by crystalline motion : V-shaped solutions and eventual monotonicity (2011)
  • Author(s): T.Ishiwata
  • Journal Title: Discrete and Continuous Dynamical Systems Volume: Supplement 1 Pages: 717-726
  • Peer Reviewed
• [Journal Article] On the motion of polygonal curves with asymptotic lines by crys talline curvature flow with bulk effect (2011)
  • Author(s): T.Ishiwata
  • Journal Title: Discrete and Continuous Dynamical Systems Series S Volume: 4 Pages: 865-873
  • Peer Reviewed
• [Journal Article] Large time behavior of solutions to concrete carbonation problem (2010)
  • Author(s): T. Aiki, A. Muntean
  • Journal Title: Communications on Pure and Applied Analysis Volume: Vol.9 Pages: 1117-1129
  • Peer Reviewed
• [Journal Article] Large time behavior of solutions to concrete carbonation problem (2010)
  • Author(s): T.Aiki, A.Muntean
  • Journal Title: Communications on Pure and Applied Analysis Volume: 9 Pages: 1117-1129
  • Peer Reviewed
• [Journal Article] On the existence of a weak solution to a free boundary problem for a model of a shape memory alloy spring (2010)
  • Author(s): Toyohiko Aiki
  • Journal Title: DCDS-S (掲載確定)
  • Peer Reviewed
• [Journal Article] Existence and uniqueness of solutions to a mathematical model predicting service life of concrete structures (2009)
  • Author(s): T. Aiki, A. Muntean
  • Journal Title: Advances in Mathematical Sciences and Applications Volume: Vol.19 Pages: 109-129
  • Peer Reviewed
• [Journal Article] Existence and uniqueness of solutions to a mathematical model predicting service life of concrete structures (2009)
  • Author(s): Toyohiko Aiki, Adrian Muntean
  • Journal Title: Advances in Mathemaical Sciences and Applications 19 Pages: 109-129
  • Peer Reviewed
• [Journal Article] あるクリスタライン運動の多角形解の挙動について (2009)
  • Author(s): 石渡哲哉
  • Journal Title: 京都大学理解析研究所講究録「パターンダイナミクスの数理とその周辺」 1633 Pages: 1-10
• [Journal Article] A mathematical model for a valve made of a spring of a shape memory alloy, Nonlinear Phenomena with Energy Dissipation (2008)
  • Author(s): T. Aiki
  • Journal Title: mathematical analysis, modeling and simulation, Gakuto International Series, Mathematical Sciences and Applications Volume: Vol.29 Pages: 1-18
  • Peer Reviewed
• [Journal Article] Motion of non-convex polygons by crystalline curvature andalmost convexity phenomena (2008)
  • Author(s): T. Ishiwata
  • Journal Title: Japan Journal of Industrial and Applied Mathematics Volume: Vol.25, No.2 Pages: 233-253
  • Peer Reviewed
• [Journal Article] Interface motion of a negative crystal and its analysis (2008)
  • Author(s): T. Ishiwata and S. Yazaki
  • Journal Title: 京都大学数理解析研究所講究録1588「非線形発展方程式と現象の数理 Pages: 23-29
• [Journal Article] Motion of essential admissible polygons by crystalline curvature flow, Gakuto International Series, Mathematical Sciences and Applications (2008)
  • Author(s): T. Ishiwata
  • Journal Title: Proceedings of International Conference on Nonlinear Phenomena with Energy Dissipation Volume: 29 Pages: 201-210
  • Peer Reviewed
• [Journal Article] Motion of non-convex polygons by crystalline curvature and almost convexity phenomena (2008)
  • Author(s): T. Ishiwata
  • Journal Title: Japan Journal of Industrial and Applied Mathematics 25 Pages: 233-253
  • NAID: 10021073169
  • Peer Reviewed
• [Journal Article] On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit
  • Author(s): Toyohiko Aiki, Martiji Anthonissen, Adrian Muntean
  • Journal Title: DCDS-S (To appear)
  • Peer Reviewed
• [Journal Article] n the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect
  • Author(s): Tetsuya Ishiwata
  • Journal Title: DCDS-S (To appear)
  • Peer Reviewed
• [Presentation] Crystalline motion of spiral-shaped polygonal curve with a tip motion (2012)
  • Author(s): T. Ishiwata
  • Organizer: Mini-Workshp on Applied Mathematics
  • Place of Presentation: Tamkang University, Tamsui, Taiwan
  • Year and Date: 2012-03-23
• [Presentation] Crystalline motion of spiral-shaped polygonal curve with a tipmotion (2012)
  • Author(s): T.Ishiwata
  • Organizer: Mini-Workshp on Applied Mathematics
  • Place of Presentation: Tamkang University, Tamsui, Taiwan
  • Year and Date: 2012-03-23
• [Presentation] あるベクトル値PDEに対する構造保存型差分法について (2012)
  • Author(s): T.Ishiwata
  • Organizer: 第4回福島応用数学研究集会
  • Place of Presentation: コラッセふくしま
  • Year and Date: 2012-03-10
• [Presentation] クリスタライン曲率流による開曲線の運動 (2012)
  • Author(s): T.Ishiwata
  • Organizer: 北陸応用数理研究会2012
  • Place of Presentation: 金沢大学サテライト・プラザ
  • Year and Date: 2012-02-19
• [Presentation] 非線形方程式で表現されるヘンリーの法則を伴う1次元コンクリート中性化問題について (2012)
  • Author(s): T.Aiki
  • Organizer: 第100回神楽坂解析セミナー
  • Place of Presentation: 東京理科大学神楽坂校舎
  • Year and Date: 2012-01-28
• [Presentation] Mathematical model for moisture transport in concrete carbonation (2011)
  • Author(s): T.Aiki
  • Organizer: 第3回サービス数学セミナー
  • Place of Presentation: 佛教大学教育学部
  • Year and Date: 2011-11-19
• [Presentation] Large-time behavior of a free boundary problem describing concrete carbonation (2011)
  • Author(s): T.Aiki
  • Organizer: Dutch-Japanese Workshop, Analysis of non-equilibrium evolution problems : Selected topics in material and life sciences
  • Place of Presentation: Technical institute of Eindhoven, the Netherlands
  • Year and Date: 2011-11-10
• [Presentation] Behavior of polygonal curves by crystalline curvature flow (2011)
  • Author(s): T. Ishiwata
  • Organizer: Dutch-Japanese Workshop, Analysis of non-equilibrium evolution problems : selected topics in material and life sciences
  • Place of Presentation: Eindhoven University of Technology, Netherlands
  • Year and Date: 2011-11-08
• [Presentation] Behavior of Polygonal Curves by Crystalline Curvature Flow (2011)
  • Author(s): T. Ishiwata
  • Organizer: Workshop on Nonlinear Partial Differential Equations
  • Place of Presentation: East China Normal University,上海
  • Year and Date: 2011-11-03
• [Presentation] Behavior of Polygonal Curves by Crystalline Curvature Flow (2011)
  • Author(s): T.Ishiwata
  • Organizer: Workshop on Nonlinear Partial Differential Equations, Dept of Math and Center of PDE
  • Place of Presentation: East China Normal University,上海
  • Year and Date: 2011-11-03
• [Presentation] Analysis of a mathematical model for moisture transport in concrete carbonation (2011)
  • Author(s): T.Aiki
  • Organizer: 研究集会非平衡非線形現象の解析--発展方程式の立場から--
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2011-10-25
• [Presentation] Recent results on mathematical models for concrete carbonation (2011)
  • Author(s): T.Aiki
  • Organizer: CoMFoS11 on Mathematical Aspects of Continuum Mechanics
  • Place of Presentation: 広島国際学院大学
  • Year and Date: 2011-10-08
• [Presentation] コンクリート中性化過程における水分輸送モデルについて (2011)
  • Author(s): T.Aiki
  • Organizer: 日本数学会・実函数論分科会
  • Place of Presentation: 信州大学松本キャンパス
  • Year and Date: 2011-09-29
• [Presentation] Crystalline motion and eventual mononicity of the shape (2011)
  • Author(s): T. Ishiwata
  • Organizer: ICIAM 2011
  • Place of Presentation: Vancouver Convention Centre, Vancouver, BC, Canada
  • Year and Date: 2011-07-19
• [Presentation] Crystalline motion and eventual monotonicity of the shape (2011)
  • Author(s): T.Ishiwata
  • Organizer: ICIAM 2011
  • Place of Presentation: Vancouver Convention Centre, Vancouver, BC, Canada
  • Year and Date: 2011-07-19
• [Presentation] Behavior of polygonal curves by crystalline curvature flow with a driving force (2011)
  • Author(s): T.Ishiwata
  • Organizer: EASIAM 2011
  • Place of Presentation: Waseda Univ.Kita-Kyushu campus
  • Year and Date: 2011-06-29
• [Presentation] Hysteresis phenomenon in mioiture transport of concrete carbonation process (2011)
  • Author(s): T.Aiki
  • Organizer: 8th International Symposium on Hysteresis Modeling and Micromagnetics
  • Place of Presentation: Levico (Trento), Italy
  • Year and Date: 2011-05-10
• [Presentation] Large-time behavior of a free boundary problem describing concrete carbonation (2011)
  • Author(s): T. Aiki
  • Organizer: Dutch-Japanese Workshop, Analysis of non-equilibrium evolution problems : Selected topics in material and life sciences
  • Place of Presentation: the Netherlands
• [Presentation] Hysteresis phenomenon in moisture transport of concrete carbonation process (2011)
  • Author(s): T. Aiki
  • Organizer: 8th International Symposium on Hysteresis Modeling and Micromagnetics
  • Place of Presentation: Levico(Trento), Italy
• [Presentation] Finite difference scheme for the Ericksen-Leslie equation, Poster presentation (2010)
  • Author(s): T. Ishiwata
  • Organizer: Czech-Japanese Semilar in Applied Mathematics
  • Place of Presentation: Czech Technical University, Prague, Czech Republic
  • Year and Date: 2010-08-31
• [Presentation] Crystalline motion and eventual monotonicity of the shape (2010)
  • Author(s): T. Ishiwata
  • Organizer: Czech-Japanese Semilar in Applied Mathematics
  • Place of Presentation: Czech Technical University, Prague, Czech Republic
  • Year and Date: 2010-08-30
• [Presentation] バルクからの効果を考慮したクリスタライン運動と解の形状の変化について (2010)
  • Author(s): 石渡哲哉
  • Organizer: 北陸応用数理研究会2010
  • Place of Presentation: 金沢大学サテライト・プラザ
  • Year and Date: 2010-02-13
• [Presentation] コンクリート中性化問題の時間無限大における解の挙動について (2009)
  • Author(s): 愛木豊彦
  • Organizer: 第35回発展方程式研究会
  • Place of Presentation: 中央大学理工学部
  • Year and Date: 2009-12-24
• [Presentation] クリスタライン運動と解図形の形状単調化 (2009)
  • Author(s): 石渡哲哉
  • Organizer: 第7回浜松偏微分方程式研究集会
  • Place of Presentation: 静岡大学浜松キャンパス工学部
  • Year and Date: 2009-12-22
• [Presentation] Large time behavior of a free boundary appearing in a concrete carbonation process (2009)
  • Author(s): 愛木豊彦
  • Organizer: Nonlinear Evolution Equations and Related Topics
  • Place of Presentation: 早稲田大学西早稲田キャンパス
  • Year and Date: 2009-10-12
• [Presentation] コンクリートの中性化問題の解の時間無限大での挙動について (2009)
  • Author(s): 愛木豊彦
  • Organizer: 日本数学会・実関数論分科会
  • Place of Presentation: 大阪大学豊中キャンバス
  • Year and Date: 2009-09-25
• [Presentation] Large time behavior of a solution to the free boundary problem on a concrete carbonation process (2009)
  • Author(s): Toyohiko Aiki, Adrian Muntean
  • Organizer: Conference on evolutional equations, related topics and applications
  • Place of Presentation: Munich, Germany
  • Year and Date: 2009-09-09
• [Presentation] On the motion of polygonal curves by crystalline curvature flow with bulk effect (2009)
  • Author(s): T. Ishiwata
  • Organizer: 1st Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
  • Place of Presentation: Tohoku University, Sendai, Japan
  • Year and Date: 2009-06-16
• [Presentation] On the motion of polygonal curves by crystalline curvature flow with bulk effect (2009)
  • Author(s): 石渡哲哉
  • Organizer: 1st Italian-Japanese workshop on geometric properties for parabolic and elliptic PDE's
  • Place of Presentation: 東北大学
  • Year and Date: 2009-06-16
• [Presentation] A weak solution of the free boundary problem on a concrete carbonation process (2009)
  • Author(s): Toyohiko Aiki, Adrian Muntean
  • Organizer: 4th Polish-Japanese Days, Current advances in applied nonlinear analysis and mathematical modeling issues
  • Place of Presentation: Warsaw, Madralin, Poland
  • Year and Date: 2009-05-19
• [Presentation] 立体を作る活動を通して問題解決能力を育成する教材の開発 (2009)
  • Author(s): 愛木豊彦, 宮原里奈
  • Organizer: 数学教育学会春季年会
  • Place of Presentation: 東京大学駒場キャンパス
  • Year and Date: 2009-03-28
• [Presentation] 乱数表を用いた授業の開発と実践 (2009)
  • Author(s): 愛木豊彦, 竹内雅人
  • Organizer: 数学教育学会春季年会
  • Place of Presentation: 東京大学駒場キャンパス
  • Year and Date: 2009-03-28
• [Presentation] 形状記憶合金で作られる栓の動きを記述する自由境界問題について (2009)
  • Author(s): 愛木豊彦
  • Organizer: 日本数学会・実関数論分科会
  • Place of Presentation: 東京大学駒場キャンパス
  • Year and Date: 2009-03-26
• [Presentation] Large time behavior of a solution to the free boundary problem on a concrete carbonation process (2009)
  • Author(s): T. Aiki
  • Organizer: Conference on evolutional equations
  • Place of Presentation: Munich, Germany
• [Presentation] A free boundary problem for a concrete carbonation process (2009)
  • Author(s): T. Aiki
  • Organizer: 6th European conference on elliptic and parabolic problems
  • Place of Presentation: Gaeta, Italy
• [Presentation] A weak solution of the free boundary problem on a concrete carbonation process (2009)
  • Author(s): T. Aiki
  • Organizer: 4th Polish-Japanese Days, Current advances in applied nonlinear analysis and mathematical modelling issues
  • Place of Presentation: Warsaw, Madralin, Poland
• [Presentation] コンクリートの中性化について (2008)
  • Author(s): 愛木豊彦
  • Organizer: 研究集会「第3回非線形数理科学」
  • Place of Presentation: 千葉大学教育学部
  • Year and Date: 2008-12-21
• [Presentation] コンクリート中性化問題の弱解の存在について (2008)
  • Author(s): 愛木豊彦
  • Organizer: 第34回発展方程式研究会
  • Place of Presentation: 中央大学理工学部
  • Year and Date: 2008-12-18
• [Presentation] バルク効果を考慮したクリスタライン運動について (2008)
  • Author(s): 石渡哲哉
  • Organizer: 研究集会「第10回界面ダイナミクスと数値シミュレーション」
  • Place of Presentation: 神戸インスティテュート
  • Year and Date: 2008-11-27
• [Presentation] A free boundary probiem for the shape memory alloys in case the temperature is unknown. (2008)
  • Author(s): Toyohiko Aiki
  • Organizer: PDE approximations in Fast reaction-Slowdiffusion scenarios
  • Place of Presentation: Leiden University, the Netherlands
  • Year and Date: 2008-11-14
• [Presentation] 形状記憶合金に関する自由境界問題 (2008)
  • Author(s): 愛木豊彦
  • Organizer: 応用解析研究会(第485回)
  • Place of Presentation: 早稲田大学理工学部
  • Year and Date: 2008-10-25
• [Presentation] クリスタライン曲率に依存して動く多角形曲線の運動について (2008)
  • Author(s): 石渡哲哉
  • Organizer: 京都駅前セミナー
  • Place of Presentation: キャンパスプラザ京都
  • Year and Date: 2008-10-16
• [Presentation] コンクリートの中性化に対する数理モデルの弱解の存在について (2008)
  • Author(s): 愛木豊彦
  • Organizer: 日本数学会・実関数論分科会
  • Place of Presentation: 東京工業大学
  • Year and Date: 2008-09-27
• [Presentation] 高校生を対象とした2次曲線についての教材開発と実践 (2008)
  • Author(s): 愛木豊彦, 岡田真子
  • Organizer: 数学教育学会秋季例会
  • Place of Presentation: 東京工業大学
  • Year and Date: 2008-09-26
• [Presentation] On the motion of polygons by crystalline curvature (2008)
  • Author(s): Tetsuya Ishiwata
  • Organizer: THIRD EURO-JAPANESE WORKSHOP ON BLOW-UP
  • Place of Presentation: 東北大学
  • Year and Date: 2008-09-09
• [Presentation] あるクリスタライン運動の多角形解の挙動について (2008)
  • Author(s): 石渡哲哉
  • Organizer: 研究集会「パターンダイナミクスの数理とその周辺」
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2008-06-25
• [Presentation] A free boundary problem for the shape memory alloys in case the temperature is unknown (2008)
  • Author(s): T. Aiki
  • Organizer: PDE approximations in Fast reaction-Slow diffusion scenarios
  • Place of Presentation: Leiden University, the Netherlands
• [Presentation] Free boundary problems for a valve made of shape memory alloys (2008)
  • Author(s): T. Aiki
  • Organizer: 7th AIMS International Conference on Dynamical Systems, Differential Equations and applications
  • Place of Presentation: University of Texas at Arlington, USA
• [Book] Recent Advances in Nonlinear Analysis (2008)
  • Author(s): Toyohiko AIRI, Jana Kopfova
  • Publisher: World Scientific
• [Book] Nonlinear Phenomena with Energy Dissipation, mathematical analysis, modeling and Simulation (2008)
  • Author(s): Toyohiko AIKI
  • Publisher: GAKKOTOSHO TOKYO, JAPAN
• [Book] Recent Advances in Nonlinear Analysis (2008)
  • Author(s): Tetsuya Ishiwata
  • Publisher: World Scientific
• [Book] Nonlinear Phenomena with Energy Dissipation, mathematical analysis, modeling and simulation (2008)
  • Author(s): Tetsuya Ishiwata
  • Publisher: GAKROTOSHO TOKYO, JAPAN