Decay of the 2D Periodic Stationary Viscous Surface Waves  

作　　者：Yun Rui ZHENG 

机构地区：[1]School of Mathematical Sciences, Qufu Normal University

出　　处：《Acta Mathematica Sinica,English Series》2018年第12期1837-1862,共26页数学学报（英文版）

摘　　要：We consider the evolution of viscous fluids in a 2D horizontally periodic slab bounded above by a free top surface and below by a fixed fiat bottom. This is a free boundary problem. The dynamics of the fluid are governed by the incompressible stationary Navier-Stokes equations under the influence of gravity and the effect of surface tension. We develop the global theory of solutions in low regularity Sobolev spaces for small data by nonlinear energy estimates.We consider the evolution of viscous fluids in a 2D horizontally periodic slab bounded above by a free top surface and below by a fixed fiat bottom. This is a free boundary problem. The dynamics of the fluid are governed by the incompressible stationary Navier-Stokes equations under the influence of gravity and the effect of surface tension. We develop the global theory of solutions in low regularity Sobolev spaces for small data by nonlinear energy estimates.

关 键 词：Free boundary problems global existence Navier Stokes equations 

分 类 号：O351.2[理学—流体力学]