Development and application ofthe theory of reaction-diffusion system approximation

Research output

Research output per year 2010 2011 2012 2013

• 28 Presentation
• 13 Article

Research output per year

Research output per year

Search results

• 2013

  Numerical solution of nonlinear cross-diffusion systems by a linear scheme

  Murakawa, H., 2013, In: The proceedings for the 4th MSJ-SI conference on Nonlinear Dynamics in Partial Differential Equations. -

  Research output: Contribution to journal › Article › peer-review
• 2012

  A free boundary problem in a singular limit of a three-component reaction-diffusion system

  Murakawa and H. Ninomiya, H., 2012, In: RIMS Kokyuroku Bessatsu. B35, p. 77-93

  Research output: Contribution to journal › Article › peer-review

• A relation between cross-diffusion and reaction-diffusion

  Murakawa, H., 2012, In: Discrete and Continuous Dynamical Systems - Series B. 5, 1, p. 147-158

  Research output: Contribution to journal › Article › peer-review

• A relation between cross-diffusion and reaction-diffusion

  H.Murakawa, 2012, In: Discrete Contin.Dyn.Syat.S. 5, p. 147-158

  Research output: Contribution to journal › Article › peer-review

• Instantaneous limit of a reaction-diffusion system with a fast precipitation and dissolution reaction

  Murakawa, H., 2012.

  Research output: Contribution to conference › Presentation

• Spatial patterns in a population model structured by cell size, quiescence and sensing radius, Everything disperses to Miami

  Murakawa, H., 2012.

  Research output: Contribution to conference › Presentation

• Triple-junctions in a strong interaction limit of a three-component system

  Murakawa, H., 2012.

  Research output: Contribution to conference › Presentation

• 地下水の流れ,氷の融解,生物の競争・協調:その数理モデルと半線形近似

  村川秀樹, 2012.

  Research output: Contribution to conference › Presentation

• 非線形交差拡散系の線形数値解法

  村川秀樹, 2012.

  Research output: Contribution to conference › Presentation

• 非線形拡散問題の線形有限体積近似とその改良

  村川秀樹, 2012.

  Research output: Contribution to conference › Presentation

• 非線形拡散問題の線形近似

  村川秀樹, 2012, In: 数理解析研究所講究録. 1810, p. 189-206

  Research output: Contribution to journal › Article › peer-review

• 非線形拡散問題の線形近似

  村川秀樹, 2012.

  Research output: Contribution to conference › Presentation
• 2011

  A free boundary problem in the limit of a fast reaction system

  H.Murakawa, 2011.

  Research output: Contribution to conference › Presentation

• A linear scheme to approximate nonlinear cross-diffusion systems

  H.Murakawa, 2011, In: Math.Mod.Numer.Anal.. 45

  Research output: Contribution to journal › Article › peer-review

• A linear scheme to approximate nonlinear cross-diffusion systems

  Murakawa, H., 2011, In: Math. Mod. Numer. Anal.. 45, 6, p. 1141-1161

  Research output: Contribution to journal › Article › peer-review

• An in vitro cell population dynamics model incorporating cell size, quie scence, and contact inhibition

  A.Ducrot & al, E., 2011, In: Math.Models Methods Appl.Sci.. 21

  Research output: Contribution to journal › Article › peer-review

• An in vitro cell population dynamics model incorporating cellsize, quiescence, and contact inhibition, Math

  Ducrot, A., Le Foll, F., Magal, P., Murakawa, H. & Pasquier and G. Webb, J., 2011, In: Models Methods Appl. Sci.. 21, supp01, p. 871-892

  Research output: Contribution to journal › Article › peer-review

• Fast reaction limit and nonlinear diffusion

  H.Murakawa, 2011.

  Research output: Contribution to conference › Presentation

• Fast reaction limit of a three-component reaction-diffusion system

  Murakawa, H. & H. Ninomiya, A., 2011, In: Journal of Mathematical Analysis and Applications. 379, 1, p. 150-170

  Research output: Contribution to journal › Article › peer-review

• Fast reaction limit of a three-component reaction-diffusion system

  H.Murakawa & H.Ninomiya, 2011, In: J.Math.Anal.Appl.. 379

  Research output: Contribution to journal › Article › peer-review

• Numerical simulations of nonlinear cross-diffusion systems using a linear scheme

  H.Murakawa, 2011.

  Research output: Contribution to conference › Presentation

• Numerical solution of nonlinear cross-diffusion systems by a linear scheme

  H.Murakawa, 2011.

  Research output: Contribution to conference › Presentation

• Numerical solution of nonlinear cross-diffusion systems by a linear scheme

  Murakawa, H., 2011.

  Research output: Contribution to conference › Presentation

• Singular limit of a three-component reaction-diffusion system

  H.Murakawa, 2011.

  Research output: Contribution to conference › Presentation

• ある3成分反応拡散系の急速反応極限に現れる自由境界問題とその自由境界を捉えるための数値解法

  村川秀樹, 2011.

  Research output: Contribution to conference › Presentation

• 反応拡散系近似,急速反応極限

  村川秀樹, 2011.

  Research output: Contribution to conference › Presentation

• 反応拡散系近似:理論と応用

  村川秀樹, 2011.

  Research output: Contribution to conference › Presentation

• 反応拡散系近似と急速反応極限

  村川秀樹, 2011.

  Research output: Contribution to conference › Presentation

• 古典的ステファン問題の直感に沿う近似解法

  村川秀樹, 2011.

  Research output: Contribution to conference › Presentation

• 非線形交差拡散系に対する汎用的で簡便な数値解法

  村川秀樹, 2011.

  Research output: Contribution to conference › Presentation

• 非線形交差拡散系の線形解法:有限体積法

  村川秀樹, 2011.

  Research output: Contribution to conference › Presentation

• 非線形拡散問題に対する保存型線形スキーム

  村川秀樹, 2011.

  Research output: Contribution to conference › Presentation

• 非線形拡散問題の反応拡散系近似とその数値解析への応用

  村川秀樹, 2011.

  Research output: Contribution to conference › Presentation

• 非線形拡散問題の線形解法

  村川秀樹, 2011.

  Research output: Contribution to conference › Presentation
• 2010

  A linear scheme to approximate nonlinear cross-diffusion systems

  H.Murakawa, 2010.

  Research output: Contribution to conference › Presentation

• A numerical method for nonlinear cross-diffusion systems

  H.Murakawa, 2010.

  Research output: Contribution to conference › Presentation

• Numerical approximation of a reaction-diffusion system with fast reversible reaction

  Eymard, R., Hilhorst, D., Murakawa, H. & M. Olech, A., 2010, In: Chinese Annals of Mathematics B. 31, 5, p. 631-654

  Research output: Contribution to journal › Article › peer-review

• ある3成分反応拡散系の急速反応極限

  村川秀樹, 2010.

  Research output: Contribution to conference › Presentation

• 反応-拡散の相互作用と非線形拡散

  村川秀樹, 2010, In: 数理解析研究所講究録. 1704, p. 187-194

  Research output: Contribution to journal › Article › peer-review

• 非線形交差拡散系の線形解法

  村川秀樹, 2010.

  Research output: Contribution to conference › Presentation

• 非線形拡散問題の反応拡散系近似

  村川秀樹, 2010.

  Research output: Contribution to conference › Presentation