变刚度Allen-Cahn方程定态解的稳定性
Stability of the stationary solutions of the Allen-Cahn equation with non-constant stiffness
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。我们假设刚度是一个积极的功能领域，我们讨论的稳定性的固定解决方案证明线性和局部非线性稳定。
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 assume the stiffness to be a positive function of the field and we discuss the stability of the stationary solutions proving both linear and local non-linear stability.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
