论文标题
解决方案概念，适合良好的福特伯格 - Whitham方程
Solution concepts, well-posedness, and wave breaking for the Fornberg-Whitham equation
论文作者
论文摘要
我们讨论了有关福nberg-Whitham方程的凯奇问题的概念和综述结果，该方程也被称为文献中的Burgers-Poisson方程。我们的重点是比较各种强和弱解决方案概念，以及以断裂形式的强大解决方案的爆炸。一路上，我们添加了有关爆炸时半圆顶性的各个方面，从非线性操作员的半群到考奇（Cauchy）问题，以及作为弱解决方案的连续行进波。
We discuss concepts and review results about the Cauchy problem for the Fornberg-Whitham equation, which has also been called Burgers-Poisson equation in the literature. Our focus is on a comparison of various strong and weak solution concepts as well as on blow-up of strong solutions in the form of wave breaking. Along the way we add aspects regarding semiboundedness at blow-up, from semigroups of nonlinear operators to the Cauchy problem, and about continuous traveling waves as weak solutions.
