论文标题
退化扩散 - 转向反应方程的前线的独特性和非独立性
Uniqueness and nonuniqueness of fronts for degenerate diffusion-convection reaction equations
论文作者
论文摘要
我们考虑一个空间维度的标量抛物线方程。该方程是由对流术语，一个或两个平衡的反应项组成的，但是阳性扩散率可能会消失。我们证明了这种方程式的旅行波解决方案的存在和几种属性。特别是，我们对轮廓的最低速度提供了一个清晰的估计，并提高了有关波前规则性的先前结果。此外，我们以相同速度显示了无限数量的半波前。
We consider a scalar parabolic equation in one spatial dimension. The equation is constituted by a convective term, a reaction term with one or two equilibria, and a positive diffusivity which can however vanish. We prove the existence and several properties of traveling-wave solutions to such an equation. In particular, we provide a sharp estimate for the minimal speed of the profiles and improve previous results about the regularity of wavefronts. Moreover, we show the existence of an infinite number of semi-wavefronts with the same speed.
