Add to ORKG在這篇論文中，我們發現雙穩反應擴散方程式的一個變分結構。透過探討這個結構的特性，並且經由找到一個特定的臨界點，可以證明行波解的存在性。而雙穩系統行波速度的唯一性也將透過這篇論文得到證明。In this essay, we find a variational structure of the bistable equation. We will show the existence of traveling wave solution by finding a critical point. The uniqueness of the speed of the bistable system is also obtained in this essay.Abstract 3ntroduction 4reliminaries 5raveling waves for bistable reaction-diffusion equation 6onclusional remark and future work 18ppendix 1
International audienceWe construct analytical solutions for a system composed of a reaction-diffusio...
We study the existence and qualitative properties of traveling wave solutions for the unbalanced bis...
本文討論帶有Fisher 型非局部反應項的反應擴散方程，其非局部項由以某種機率 分佈為積分核的摺積組成。為瞭解積分核對方程式解造成的影響，與古典Fisher-KPP 方程的穩定解、行波 解做比較，我們...
Reaction-diffusion systems arise in many different areas of the physical and biological sciences, an...
本論文分成兩部份。 第一部份是關於反應擴散對流方程 的傳動波解。我們考慮具有週期性的對流場 、燃燒型態及半穩定的非線性反應項 。我們主要整理Berestycki和Hamel文章[1]中的脈衝波的存在性...
這篇論文主要處理的問題是反應擴散方程的傳動波ut=△u+uzz-f(u)，其中(x, z)∈Rn+1是空間變數。假定f(u)是一個双雙穩定的非線性項，我們分別考慮平衡的狀態及非平衡的狀態。在平衡的狀態...
Reaction-diffusion systems arise in many different areas of the physical and biological sciences, an...
We will discuss travelling wave solutions to reaction-diffusion equations of the form: ut=uxx+ up (1...
In this Note, we consider traveling waves in a reaction-diffusion equation in dimension one. Motivat...
Abstract. We consider traveling wave solutions to spatially discrete reaction-diffusion equations wi...
We consider the Nagumo reactiondiffusion equation ut=uxx+f(u) and the Nagumo telegraph equation τutt...
This is the published version, also available here: http://dx.doi.org/10.1137/S0036139999357113.We c...
A new method for proving the existence of traveling wave solutions for equations of the form Ut Uxx ...
We consider traveling wave solutions to spatially discrete reaction-diffusion equations with nonloca...
International audienceWithin the framework of the Maxwell-Cattaneo relaxation model extended to reac...
International audienceWe construct analytical solutions for a system composed of a reaction-diffusio...
We study the existence and qualitative properties of traveling wave solutions for the unbalanced bis...
本文討論帶有Fisher 型非局部反應項的反應擴散方程，其非局部項由以某種機率 分佈為積分核的摺積組成。為瞭解積分核對方程式解造成的影響，與古典Fisher-KPP 方程的穩定解、行波 解做比較，我們...
Reaction-diffusion systems arise in many different areas of the physical and biological sciences, an...
本論文分成兩部份。 第一部份是關於反應擴散對流方程 的傳動波解。我們考慮具有週期性的對流場 、燃燒型態及半穩定的非線性反應項 。我們主要整理Berestycki和Hamel文章[1]中的脈衝波的存在性...
這篇論文主要處理的問題是反應擴散方程的傳動波ut=△u+uzz-f(u)，其中(x, z)∈Rn+1是空間變數。假定f(u)是一個双雙穩定的非線性項，我們分別考慮平衡的狀態及非平衡的狀態。在平衡的狀態...
Reaction-diffusion systems arise in many different areas of the physical and biological sciences, an...
We will discuss travelling wave solutions to reaction-diffusion equations of the form: ut=uxx+ up (1...
In this Note, we consider traveling waves in a reaction-diffusion equation in dimension one. Motivat...
Abstract. We consider traveling wave solutions to spatially discrete reaction-diffusion equations wi...
We consider the Nagumo reactiondiffusion equation ut=uxx+f(u) and the Nagumo telegraph equation τutt...
This is the published version, also available here: http://dx.doi.org/10.1137/S0036139999357113.We c...
A new method for proving the existence of traveling wave solutions for equations of the form Ut Uxx ...
We consider traveling wave solutions to spatially discrete reaction-diffusion equations with nonloca...
International audienceWithin the framework of the Maxwell-Cattaneo relaxation model extended to reac...
International audienceWe construct analytical solutions for a system composed of a reaction-diffusio...
We study the existence and qualitative properties of traveling wave solutions for the unbalanced bis...
本文討論帶有Fisher 型非局部反應項的反應擴散方程，其非局部項由以某種機率 分佈為積分核的摺積組成。為瞭解積分核對方程式解造成的影響，與古典Fisher-KPP 方程的穩定解、行波 解做比較，我們...