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Preprint Oct 2026

Solutions to the Fokker-Planck equation with time-dependent force and source in $\mathbb R^3$

This paper concerns the global solutions of the kinetic Fokker-Planck (KFP) equation in $\mathbb R^3$ driven by a given external force $E=E(t,x)$ and an inhomogeneous source term $S_0=S_0(t,x,v)$. First, when $E$ and $S_0$ are sufficiently small in a suitable hybrid homogeneous Besov-Sobolev framework without any time-...

Ren-Jun Duan, Fu-Cai Li, Jin-Kai Ni et al. · 0 citations
Open access Jan 2025

Structural Stability of Prandtl Boundary Layers in the Entire Subsonic Regime

Despite the physical significance of the compressible Navier–Stokes equations in the presence of strong boundary layers, rigorous mathematical theories in this area remain at an early stage of development. In this paper, we establish the structural stability of shear flow boundary layer profiles for the two-dimensional...

Sheng-Xin Li, Tong Yang, Zhu Zhang · 1 citation

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