3 papers
math.NA2026
Mass conservation, positivity and energy identical-relation preserving scheme for the Navier-Stokes equations with variable density
Fan Yang, Haiyun Dong, Maojun Li +1
In this paper, we consider a mass conservation, positivity and energy identical-relation preserving scheme for the Navier-Stokes equations with variable density. Utilizing the squa…
math.NA2025
Continuous Data Assimilation for the Navier-Stokes Equations with Nonlinear Slip Boundary Conditions
W. C. Wu, H. Y. Dong, K. Wang
This paper focuses on continuous data assimilation (CDA) for the Navier-Stokes equations with nonlinear slip boundary conditions. CDA methods are typically employed to recover the…
math.NA2025
High-order mass conserving, positivity plus energy-law preserving schemes and their error estimates for Keller-Segel equations
Mingmei Chen, Kun Wang, Cong Xie
Chemotaxis plays a significant role in numerous physiological processes. The Keller-Segel equation serves as a mathematical model for simulating the phenomenon of cell population a…