Allen-Cahn动力学下的Compacton形成
Compacton formation under Allen--Cahn dynamics
摘要：
研究了由Landau能量泛函导出的具有非常数高阶刚度的广义Allen-Cahn方程的解。我们解析地解决了固定问题，并推导出存在所谓的双稳态，即在两个阶段之间的有限区间上的连接。动力学问题的数值求解和描述的形成。
英文摘要：
We study the solutions of a generalized Allen-Cahn equation deduced from a Landau energy functional, endowed with a non-constant higher order stiffness. We analytically solve the stationary problem and deduce the existence of so-called compactons, namely, connections on a finite interval between the two phases. The dynamics problem is numerically solved and compacton formation is described.
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