Reaction-diffusion Equations of Degenerate-type
碩士 === 國立臺灣大學 === 數學研究所 === 93 === This paper investigates the effects of a degenerate diffusion term in reaction-diffusion models with Fisher-KPP and bistable type nonlinearities. In the first case when the nonlinear term g is of Fisher-KPP type, we obtain a continuum of t.w.s. having wave speed c...
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2005
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ndltd-TW-093NTU054790172015-12-21T04:04:04Z http://ndltd.ncl.edu.tw/handle/84761393908185687015 Reaction-diffusion Equations of Degenerate-type 退化型之反應擴散方程 Li-Sheng Chang 張立昇 碩士 國立臺灣大學 數學研究所 93 This paper investigates the effects of a degenerate diffusion term in reaction-diffusion models with Fisher-KPP and bistable type nonlinearities. In the first case when the nonlinear term g is of Fisher-KPP type, we obtain a continuum of t.w.s. having wave speed c greater than a threshold value c* and the appearance of a sharp-type profile if c = c*. In the other case when g is bistable, we observe that the t.w.s. is of sharp type. Finally, we estimate the speed of front propagation for reaction-diffusion equations. This formulation makes it possible to calculate sharp estimates for the speed explicitly. Chiun-Chuan Chen 陳俊全 2005 學位論文 ; thesis 18 en_US |
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en_US |
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碩士 === 國立臺灣大學 === 數學研究所 === 93 === This paper investigates the effects of a degenerate diffusion term in reaction-diffusion models with Fisher-KPP and bistable type nonlinearities. In the first case when the nonlinear term g is of Fisher-KPP type, we obtain a continuum of t.w.s. having wave speed c greater than a threshold value c* and the appearance of a sharp-type profile if c = c*. In the other case when g is bistable, we observe that the t.w.s. is of sharp type. Finally, we estimate the speed of front propagation for reaction-diffusion equations. This formulation makes it possible to calculate sharp estimates for the speed explicitly.
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| author2 |
Chiun-Chuan Chen |
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Chiun-Chuan Chen Li-Sheng Chang 張立昇 |
| author |
Li-Sheng Chang 張立昇 |
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Li-Sheng Chang 張立昇 Reaction-diffusion Equations of Degenerate-type |
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Li-Sheng Chang |
| title |
Reaction-diffusion Equations of Degenerate-type |
| title_short |
Reaction-diffusion Equations of Degenerate-type |
| title_full |
Reaction-diffusion Equations of Degenerate-type |
| title_fullStr |
Reaction-diffusion Equations of Degenerate-type |
| title_full_unstemmed |
Reaction-diffusion Equations of Degenerate-type |
| title_sort |
reaction-diffusion equations of degenerate-type |
| publishDate |
2005 |
| url |
http://ndltd.ncl.edu.tw/handle/84761393908185687015 |
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