论文标题
具有梯度和非局部项的扰动非线性热方程的单点爆炸和最终轮廓
Single point blow-up and final profile for a perturbed nonlinear heat equation with a gradient and a non-local term
论文作者
论文摘要
我们在本文中考虑了标准半线性热方程的扰动，该术语涉及空间衍生物和非本地术语。在一些较早的工作（Abdelhedi-Zaag JDE 2021）中，我们为该方程式构建了一个爆炸解决方案，并表明它在原点上炸毁了（至少）。我们还得出了所谓的“中间爆破轮廓”。在本文中，我们证明了单点爆破属性并确定最终的爆炸曲线。
We consider in this paper a perturbation of the standard semilinear heat equation by a term involving the space derivative and a non-local term. In some earlier work (Abdelhedi-Zaag JDE 2021), we constructed a blow-up solution for that equation, and showed that it blows up (at least) at the origin. We also derived the so called "intermediate blow-up profile". In this paper, we prove the single point blow-up property and determine the final blow-up profile.
