Travelling fronts in non-local evolution equations

被引：79

作者：

DeMasi, A

Gobron, T

Presutti, E

机构：

[1] ECOLE POLYTECH,PHYS MAT CONDENSEE LAB,F-91128 PALAISEAU,FRANCE

[2] UNIV ROMA TOR VERGATA,DIPARTIMENTO MATEMAT,I-00133 ROME,ITALY

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1995年 / 132卷 / 02期

关键词：

D O I：

10.1007/BF00380506

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of travelling fronts and their uniqueness module 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 +/-infinity are in the domain of attraction of the stable and, respectively, the metastable states. The results are compared with those of FIFE & MCLEOD [13] for the Allen-Cahn equation.

引用

页码：143 / 205

页数：63

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