Travelling fronts in non-local evolution equations
Travelling fronts in non-local evolution equations
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DOI：
10.1007/bf00380506
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发表时间：
1995-06
影响因子：
2.5
通讯作者：
A. Masi;T. Gobron;E. Presutti
中科院分区：
文献类型：
--
作者：
A. Masi;T. Gobron;E. Presutti
在文[5]中从具有Glauber动力学和KAc势的Ising系统导出的一维非定域演化方程的背景下，证明了行波前锋的存在及其模平移的唯一性。前锋描述了稳定相和亚稳相之间的运动界面，它吸引了±∞处的所有轮廓，这些轮廓分别位于稳定相和亚稳相的吸引域内。并与Fife&McLeod[13]的Allen-Cahn方程的结果进行了比较。
The existence of travelling fronts and their uniqueness modulo translations are proved in the context of a one-dimensional, non-local, evolution equation derived in [5] from Ising systems with Glauber dynamics and Kac potentials. The front describes the moving interface between the stable and the metastable phases and it is shown to attract all the profiles which at ± ∞ are in the domain of attraction of the stable and, respectively, the metastable states. The results are compared with those ofFife&McLeod[13] for the Allen-Cahn equation.