边界耦合的牛顿渗流方程组解的整体存在与爆破

摘要

In this paper, we deal with the large time behavior of solutions to the multi-dimensional Newtonian filtration equations coupled via the nonlinear boundary conditions. By constructing various kinds of upper and lower solutions, we obtain the critical global existence curve and the critical Fujita curve.%本文研究了由边界条件耦合的多维牛顿渗流方程组解的长时间行为。利用构造的多种上下解，得到了整体存在临界曲线与Fujita临界曲线。