This paper is concerned with conical traveling fronts for reaction–diffusion equations with combustion nonlinearity in ${\mathbb{R}}^3$. By constructing a sequence of pyramidal traveling fronts and taking its limit, we establish the existence and qualitative properties of conical traveling fronts.

中文翻译：

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燃烧方程的圆锥形传播前沿 ${\mathbb{[R}}^3$

本文涉及具有燃烧非线性的反应扩散方程的圆锥传播前沿。 ${\mathbb{[R}}^3$。通过构造一系列金字塔形的行进线并取其极限，我们确定了圆锥形行进线的存在性和定性。