4 papers · 1 filter
Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on
Jiahong Wu, Mengxin Yan, Ning Zhu
The hydrostatic balance is a fundamental equilibrium state in stratified fluids and plays a central role in geophysical fluid dynamics. Understanding its stability under incomplete…
On the role of the displacement current and the Cattaneo's law on boundary layers of plasma
Nacer Aarach, Francesco De Anna, Marius Paicu +1
In the present paper, we aim to mathematically analyse the role of the displacement current and the Cattaneo's law on the boundary-layer theory of plasma, when the corresponding ch…
Global regularity for the 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
Marius Paicu, Ning Zhu
This paper establishes the global regularity of classical solution to the 2D MHD system with only horizontal dissipation and horizontal magnetic diffusion in a strip domain $\mathb…
On the striated regularity for the 2D anisotropic Boussinesq system
Marius Paicu, Ning Zhu
In this paper, we investigate the global existence and uniqueness of strong solutions to 2D Boussinesq system with anisotropic thermal diffusion or anisotropic viscosity and with s…