Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Spatial decay estimates for the Forchheimer fluid equations in a semi-infinite cylinder

Xuejiao Chen;  Yuanfei Li — 2023

Applications of Mathematics

The spatial behavior of solutions is studied in the model of Forchheimer equations. Using the energy estimate method and the differential inequality technology, exponential decay bounds for solutions are derived. To make the decay bounds explicit, we obtain the upper bound for the total energy. We also extend the study of spatial behavior of Forchheimer porous material in a saturated porous medium.

Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics

Yuanfei Li;  Shengzhong Xiao — 2022

Applications of Mathematics

In this paper, we consider an initial boundary value problem for the two-dimensional primitive equations of large scale oceanic dynamics. Assuming that the depth of the ocean is a positive constant, we establish rigorous a priori bounds of the solution to problem. With the aid of these a priori bounds, the continuous dependence of the solution on changes in the boundary terms is obtained.

Page 1

Download Results (CSV)