论文标题
在周期性的半线性热方程中吹来
Blow up in a periodic semilinear heat equation
论文作者
论文摘要
使用数值和分析工具的组合研究了在一维半线性热方程中吹来的。重点放在空间变量中的周期性问题上，并从几乎平坦的积极初始条件开始。新的结果包括各种渐近近似值，这些近似值在整个时空间隔内有效，直到爆炸时间和包括爆炸时间。还提出了有关继续数值解决方案以外的奇异性的初步结果。
Blow up in a one-dimensional semilinear heat equation is studied using a combination of numerical and analytical tools. The focus is on problems periodic in the space variable and starting out from a nearly flat, positive initial condition. Novel results include various asymptotic approximations that are, in combination, valid over the entire space and time interval right up to and including the blow-up time. Preliminary results on continuing a numerical solution beyond the singularity are also presented.
