論文 - 深尾 武史

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  1. The Cahn–Hilliard equation with forward-backward dynamic boundary condition via vanishing viscosity,SIAM Journal on Mathematical Analysis,Society for Industrial and Applied Mathematics,2022年,Pierluigi Colli, Takeshi Fukao, and Luca Scarpa

    共著,数学解析

  2. 高等学校の探究学習科目「理数探究基礎」で扱うための斜方投射を題材とした課題解決型授業の実践,京都教育大学附属高等学校研究紀要,95巻 ,京都教育大学,2022年03月,葛城元, 粥川絢子, 野原大輝, 深尾武史, 谷口和成

    共著,教科教育学

  3. A second-order accurate structure-preserving scheme for the Cahn–Hilliard equation with a dynamic boundary condition,Communications on Pure & Applied Analysis ,21巻 (頁 355 ~ 392) ,American Institute of Mathematical Sciences,2022年02月,Makoto Okumura, Takeshi Fukao, Daisuke Furihata, and Shuji Yoshikawa

    共著,数学解析

  4. Separation property and convergence to equilibrium for the equation and dynamic boundary condition of Cahn–Hilliard type with singular potential,Asymptotic Analysis,124巻 (頁 303 ~ 341) ,IOS Press,2021年08月,Takeshi Fukao, Hao Wu

    共著,数学解析

  5. A new structure-preserving scheme with the staggered space mesh for the Cahn–Hilliard equation under a dynamic boundary condition,Advances in Mathematical Sciences and Applications,30巻 (頁 347 ~ 376) ,Gakkotosho,2021年08月,Makoto Okumura and Takeshi Fukao

    共著,数学解析

  6. Vanishing diffusion in a dynamic boundary condition for the Cahn–Hilliard equation,NoDEA Nonlinear Differential Equations and Applications,27巻 Article 53号 (頁 1 ~ 27) ,Springer,2020年10月,Pierluigi Colli, Takeshi Fukao

    共著,数学解析

  7. On a transmission problem for equation and dynamic boundary condition of Cahn–Hilliard type with nonsmooth potentials,Mathematische Nachrichten,293巻 (頁 2051 ~ 2081) ,Wiley,2020年08月,Pierluigi Colli, Takeshi Fukao, Hao Wu

    共著,数学解析

  8. Cahn–Hilliard equation on the boundary with bulk condition of Allen–Cahn type,Advances in Nonlinear Analysis,9巻 (頁 16 ~ 38) ,de Gruyter,2020年01月,Pierluigi Colli, Takeshi Fukao

    共著,数学解析

  9. On a coupled bulk–surface Allen–Cahn system with an affine linear transmission condition and its approximation by a Robin boundary condition,Nonlinear Analysis: Theory, Methods & Applications,184巻 (頁 116 ~ 147) ,Elsevier,2019年02月,Pierluigi Colli, Takeshi Fukao, Kei Fong Lam

    共著,数学解析

  10. Abstract approach to degenerate parabolic equations with dynamic boundary conditions,Advances in Mathematical Sciences and Applications,27巻 (頁 29 ~ 44) ,Gakkotosho,2018年12月,Takeshi Fukao, Taishi Motoda

    共著,数学解析

  11. Nonlinear diffusion equations as asymptotic limits of Cahn–Hilliard systems on unbounded domains via Cauchy's criterion,Mathematical Methods in the Applied Sciences,41巻 (頁 2590 ~ 2601) ,John Wiley & Sons Ltd,2018年05月,Takeshi Fukao, Sunsuke Kurima, Tomomi Yokota

    共著,数学解析

  12. Nonlinear diffusion equations with Robin boundary conditions as asymptotic limits of Cahn–Hilliard systems,Journal of Elliptic and Parabolic Equations,4巻 (頁 271 ~ 291) ,Springer,2018年04月,Takeshi Fukao, Taishi Motoda

    共著,数学解析

  13. A boundary control problem for the equation and dynamic boundary condition of Cahn–Hilliard type,"Solvability, Regularity, Optimal Control of Boundary Value Problems for PDEs", Springer INdAM Series,Springer,2017年11月,Takeshi Fukao, Noriaki Yamazaki

    共著,数学解析

  14. Structure-preserving finite difference schemes for the Cahn–Hilliard equation with dynamic boundary conditions in the one-dimensional case,Communications on Pure and Applied Analysis,16巻 (頁 1915 ~ 1938) ,American Institute of Mathematical Sciences,2017年05月,Takeshi Fukao, Shuji Yoshikawa, Saori Wada

    共著,数学解析

  15. Solvability of p-Laplacian parabolic equations with constraints coupled with Navier–Stokes equations in 3D domains by using largeness of p,Funkcialaj Ekvacioj,60巻 (頁 1 ~ 20) ,Division of Functional Equations/The Mathematical Society of Japan,2017年04月,Takeshi Fukao, Yutaka Tsuzuki, Tomomi Yokota

    共著,数学解析

  16. Lagrange multiplier and singular limit of double-obstacle problems for the Allen–Cahn equation with constraint,Mathematical Methods in the Applied Sciences,40巻 (頁 5 ~ 21) ,John Wiley & Sons Ltd,2017年01月,Mohammad Hassan Farshbaf-Shaker, Takeshi Fukao, Noriaki Yamazaki

    共著,数学解析

  17. Cahn–Hilliard approach to some degenerate parabolic equations with dynamic boundary conditions,"System Modeling and Optimization", IFIP Advances in Information and Communication Technology,494巻 (頁 282 ~ 291) ,Springer,2016年12月,Takeshi Fukao

    共著,数学解析

  18. Convergence of Cahn–Hilliard systems to the Stefan problem with dynamic boundary conditions,Asymptotic Analysis,99巻 (頁 1 ~ 21) ,IOS Press,2016年08月,Takeshi Fukao

    単著,数学解析

  19. Nonlinear diffusion equations as asymptotic limits of Cahn–Hilliard systems,Journal of Differential Equations,260巻 (頁 6930 ~ 6959) ,Elsevier,2016年05月,Pierluigi Colli, Takeshi Fukao

    共著,数学解析

  20. The Allen-Cahn equation with dynamic boundary conditions and mass constraints,Mathematical Methods in the Applied Sciences,38巻 (頁 3950 ~ 3967) ,John Wiley & Sons Ltd,2015年12月,Pierluigi Colli, Takeshi Fukao

    共著,数学解析

  21. Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials,Nonlinear Analysis: Theory, Methods & Applications,127巻 (頁 413 ~ 433) ,Elsevier,2015年11月,Pierluigi Colli, Takeshi Fukao

    共著,数学解析

  22. Singular limit of Allen-Cahn equation with constraints and its Lagrange multiplier,Dynamical Systems and Differential Equations, AIMS Proceedings, 2015 (頁 418 ~ 427) ,American Institute of Mathematical Sciences,2015年11月,Mohammad Hassan Farshbaf-Shaker, Takeshi Fukao, Noriaki Yamazaki

    共著,数学解析

  23. Cahn-Hilliard equation with dynamic boundary conditions and mass constraint on the boundary,Journal of Mathematical Analysis and Applications,429巻 (頁 1190 ~ 1213) ,Elsevier,2015年09月,Pierluigi Colli, Takeshi Fukao

    共著,数学解析

  24. Quasi-variational inequality approach to heat convection problems with temperature dependent velocity constraint,Discrete and Continuous Dynamical Systems, Ser. A,35巻 (頁 2523 ~ 2538) ,American Institute of Mathematical Sciences,2015年06月,Takeshi Fukao, Nobuyuki Kenmochi

    共著,数学解析

  25. 数学的モデリングにおける理科的問題の可能性-中学生対象の台車実験を通した学習-,数学教育学会誌,55巻 (頁 11 ~ 20) ,数学教育学会,2014年12月,宮川 敏之, 深尾 武史, 谷口 和成, 渡邉 伸樹, 柳本 哲

    共著,教科教育学

  26. Abstract theory of variational inequalities with Lagrange multipliers and application to nonlinear PDEs,Mathematica Bohemica,139巻 (頁 391 ~ 399) ,Mathematical Institute Academy of Sciences of the Czech Republic,2014年08月,Takeshi Fukao, Nobuyuki Kenmochi

    共著,数学解析

  27. A thermohydraulics model with temperature dependent constraint on velocity fields,Discrete and Continuous Dynamical Systems, Ser. S,7巻 (頁 17 ~ 34) ,American Institute of Mathematical Sciences,2014年02月,Takeshi Fukao, Nobuyuki Kenmochi

    共著,数学解析

  28. A study of educational contents of mathematical modelling for beginners,Proceeding of the sixth international conference on sciences and mathematics education in developing countries (頁 305 ~ 310) ,Mathematical Society of Myanmar,2014年01月,Takeshi Fukao, Yoshiho Akagawa, Yoshio Fujii

    共著,教科教育学

  29. Lagrange multipliers in variational inequalities for nonlinear operators of monotone type,Advances in Mathematical Sciences and Applications,23巻 (頁 547 ~ 574) ,Gakkotosho,2013年12月,Takeshi Fukao, Nobuyuki Kenmochi

    共著,数学解析

  30. Parabolic variational inequalities with weakly time-dependent constraint,Advances in Mathematical Sciences and Applications,23巻 (頁 365 ~ 395) ,Gakkotosho,2013年12月,Takeshi Fukao, Nobuyuki Kenmochi

    共著,数学解析

  31. On a variational inequality of Bingham and Navier-Stokes type in three dimensional space,Nonlinear analysis in interdisciplinary sciences, GAKUTO International Series, Mathematical Sciences and Applications,36巻 (頁 57 ~ 71) ,Gakkotosho,2013年12月,Takeshi Fukao

    単著,数学解析

  32. Abstract theory of variational inequality and Lagrange multipliers,Discrete and continuous dynamical systems, supplement,2013巻 (頁 237 ~ 246) ,American Institute of Mathematical Sciences,2013年11月,Takeshi Fukao, Nobuyuki Kenmochi

    共著,数学解析

  33. Weak variational formulation for the constrained Navier-Stokes equations,Surikaisekikenkyusho Kokyuroku, RIMS, Kyoto University,1792巻 (頁 57 ~ 81) ,Kyoto University,2012年05月,Takeshi Fukao, Nobuyuki Kenmochi

    共著,数学解析

  34. Variational inequality for the Stokes equations with constraint,Discrete and continuous dynamical systems, supplement,2011巻 (頁 437 ~ 446) ,American Institute of Mathematical Sciences,2011年11月,Takeshi Fukao

    単著,数学解析

  35. Variational inequality for the Navier-Stokes equations with time-dependent constraint,International symposium on computational science 2011, GAKUTO International Series, Mathematical Sciences and Applications,34巻 (頁 87 ~ 102) ,Gakkotosho,2011年10月,Takeshi Fukao, Nobuyuki Kenmochi

    共著,数学解析

  36. Global attractor of double obstacle problem in thermohydraulics,Current advances in nonlinear analysis and related topics, GAKUTO International Series, Mathematical Sciences and Applications,32巻 (頁 273 ~ 287) ,Gakkotosho,2010年02月,Takeshi Fukao, Masahiro Kubo

    共著,数学解析

  37. Time-dependent obstacle problem in thermohydraulics,Discrete and continuous dynamical systems, supplement,2009巻 (頁 240 ~ 249) ,American Institute of Mathematical Sciences,2009年09月,Takesi Fukao, Masahiro Kubo

    共著,数学解析

  38. 最小二乗法の導入を取り入れた微分法の学習とその実践報告,論文集「高専教育」,32巻 (頁 603 ~ 608) ,国立高等専門学校機構,2009年03月,深尾 武史

    単著,教科教育学

  39. Time-dependent double obstacle problem in thermohydraulics,Nonlinear phenomena with energy dissipation, mathematical analysis, modeling and simulation, GAKUTO International Series, Mathematical Sciences and Applications,29巻 (頁 73 ~ 92) ,Gakkotosho,2008年08月,Takesi Fukao, Masahiro Kubo

    共著,数学解析

  40. 数理モデル化を強く意識した微分方程式の授業展開例とその実践報告,論文集「高専教育」,31巻 (頁 565 ~ 570) ,国立高等専門学校機構,2008年03月,深尾 武史

    単著,教科教育学

  41. Free boundary problems of the nonlinear heat equations coupled with the Navier-Stokes equations,Recent advances in nonlinear analysis, proceedings of the international conference on nonlinear analysis (頁 67 ~ 76) ,World Scientific Publishing,2008年02月,Takesi Fukao

    単著,数学解析

  42. Nonlinear degererate parabolic equations for a thermohydraulic model,Discrete and continuous dynamical systems, supplement,2007巻 (頁 399 ~ 408) ,American Institute of Mathematical Sciences,2007年09月,Takesi Fukao, Masahiro Kubo

    共著,数学解析

  43. Time dependent nonlinear evolution equations and their applications,岐阜工業高等専門学校紀要,41巻 (頁 15 ~ 24) ,Gifu National College of Technology,2007年04月,Takesi Fukao

    単著,その他

  44. 数理モデル化・実験を並行して行う微分方程式の学習について,論文集「高専教育」,30巻 (頁 481 ~ 486) ,国立高等専門学校機構,2007年03月,深尾 武史

    単著,教科教育学

  45. Embedding theorem for phase field equation with convection,Free boundary problems. Theory and applications, International Series of Numerical Mathematics,154巻 (頁 169 ~ 178) ,Birkhauser Verlag,2006年11月,Takesi Fukao

    単著,数学解析

  46. System of nonlinear heat equation and Navier-Stokes equations,Surikaisekikenkyusho Kokyuroku, RIMS, Kyoto University,1522巻 (頁 82 ~ 100) ,Kyoto University,2006年10月,Takesi Fukao

    単著,数学解析

  47. Partial differential equations for solid-liquid phase transition with fluid motion,Surikaisekikenkyusho Kokyuroku, RIMS, Kyoto University,1475巻 (頁 45 ~ 64) ,Kyoto University,2006年02月,Takesi Fukao

    単著,数学解析

  48. Phase field equations with convections in non-cylindrical domains,Mathematical approach to nonlinear phenomena; modelling, analysis and simulations, GAKUTO International Series, Mathematical Sciences and Applications,23巻 (頁 42 ~ 54) ,Gakkotosho,2005年12月,Takesi Fukao

    単著,数学解析

  49. Stefan problems with convection governed by Navier-Stokes equations,Advances in Mathematical Sciences and Applications,15巻 (頁 29 ~ 48) ,Gakkotosho,2005年10月,Takesi Fukao, Nobuyuki Kenmochi

    共著,数学解析

  50. Weak solutions for Stefan problems with convection in non-cylindrical domains,Nonlinear Partial Differential Equations and Their Applications, GAKUTO International Series, Mathematical Sciences and Applications,20巻 (頁 28 ~ 47) ,Gakkotosho,2004年10月,Takeshi Fukao

    単著,数学解析

  51. Mathematical analysis of Czochralski crystal growth,European congress on computational methods in applied sciences and engineering,2004巻 ,European Community on Computational Methods in Applied Sciences,2004年07月,Takesi Fukao, Nobuyuki Kenmochi

    共著,数学解析

  52. Degenerate parabolic equations with convection in non-cylindrical domains,Advances in Mathematical Sciences and Applications,14巻 (頁 139 ~ 150) ,Gakkotosho,2004年04月,Takesi Fukao, Nobuyuki Kenmochi

    共著,数学解析

  53. A new class of doubly nonlinear evolution equations,Taiwanese Journal of Mathematics,8巻 (頁 103 ~ 124) ,Math. Soc. Repub. China (Taiwan),2004年01月,Masayasu Aso, Takesi Fukao, Nobuyuki Kenmochi

    共著,数学解析

  54. Transmission-Stefan problems arising in Czochralski process of crystal growth,Free boundary problems. Theory and applications, International Series of Numerical Mathematics,147巻 (頁 151 ~ 165) ,Birkhauser Verlag,2004年01月,Takesi Fukao, Nobuyuki Kenmochi, Irena Pawlow

    共著,数学解析

  55. Stefan problems in non-cylindrical domains arising in Czochralski process of crystal growth,Control and Cybernetics,32巻 (頁 201 ~ 221) ,Polish Acad. Sci., Warsaw,2003年04月,Takesi Fukao, Nobuyuki Kenmochi, Irena Pawlow

    共著,数学解析

  56. Transmission problems for degenerate parabolic equations,Elliptic and Parabolic Problems, Proceedings of the Fourth European Conference (頁 103 ~ 112) ,World Scientific Publishing,2002年10月,Takeshi Fukao

    単著,数学解析

  57. Two-phase Stefan problems in non-cylindrical domains,Surikaisekikenkyusho Kokyuroku, RIMS, Kyoto University,1249巻 (頁 35 ~ 46) ,Kyoto University,2002年02月,Takeshi Fukao, Nobuyuki Kenmochi, Irena Pawlow

    共著,数学解析

  58. Transmission problems arising in Czochralski process of crystal growth,Mathematical Approach to Nonlinear Phenomena; Modelling, Analysis and Simulations, GAKUTO International Series, Mathematical Sciences and Applications,17巻 (頁 228 ~ 243) ,Gakkotosho,2001年09月,Takeshi Fukao, Nobuyuki Kenmochi, Irena Pawlow

    共著,数学解析

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