TY - JOUR
T1 - Global Well-Posedness for Navier-Stokes-Darcy Equations with the Free Interface
AU - Zhao , Bin
AU - Zhang , Mingyue
AU - Liang , Chuangchuang
JO - International Journal of Numerical Analysis and Modeling
VL - 5
SP - 569
EP - 619
PY - 2021
DA - 2021/08
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/19384.html
KW - Navier-Stokes-Darcy equations, the free interface, global well-posedness, large time behavior.
AB - <p style="text-align: justify;">In this paper, the Navier-Stokes-Darcy equations with the free interface are considered,
which model the movement of the sea and the sand in the seafloor or the filtration of blood through
the arterial wall. The global well-posedness of the solution perturbed around the constant steady
state is obtained and then the almost exponential decay to the constant stationary state is gained.
Finally, we present an efficient explicit discrete scheme based on finite-volume method for the free
interface system and provide the numerical tests to illustrate the consistency with our analysis
result.</p>