3 papers
physics.plasm-ph2026
Nonlinear Dynamical Friction from the Doppler-Shifted Equilibrium Memory Kernel
N. R. Sree Harsha, Zhenyuan Yu, Chuang Ren +2
We present a statistical mechanics framework for modeling equilibrium friction coefficients using the Generalized Langevin Equation (GLE). We show that the kernel, obtained via the…
math.AP2025
Isolated singularities for elliptic equations with convolution terms in a punctured ball
Marius Ghergu, Zhe Yu
The purpose of this article is two-fold. First, we investigate the inequality $$ -Δu+V(x) u\geq f\quad\mbox{ in } B_1\setminus\{0\}\subset \mathbb{R}^N , N \geq 2, $$ where $f\in L…
math.AP2025
Elliptic Harnack inequalities for mixed local and nonlocal -energy form on metric measure spaces
Aobo Chen, Zhenyu Yu
In the context of metric measure spaces, we introduce an axiomatic formulation of mixed local and nonlocal -energy forms. Within this framework, we use the Poincaré inequality,…