论文标题
临界Sobolev空间中多孔介质中自由边界流的渐近模型的适应性
Well-posedness of an asymptotic model for free boundary Darcy flow in porous media in the critical Sobolev space
论文作者
论文摘要
我们证明，毛细血管驱动的自由边界darcy流的二次近似在$ \ dot {h}^{3/2} $中很好地摆姿势，并且如果初始基准在$ \ dot {h}^{3/2} $中，则全球范围很好。
We prove that the quadratic approximation of the capillarity-driven free-boundary Darcy flow is well posed in $ \dot{H}^{3/2} $, and globally well-posed if the initial datum is small in $ \dot{H}^{3/2} $.
