lévy diffusion 1memory effects 1nonlocal evolution equations 1rayleigh-stokes equation 1viscoelastic fluid flow 1well-posedness 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.AP2026
Well-posedness of stochastic time-nonlocal telegraph equations with Hölder diffusion coefficient: hereditary phase-space lifting and novel generalized coupling method
Xi Huang, Li Peng, Juan Carlos Pozo +1
We consider the initial-boundary value problem for the stochastic time-nonlocal telegraph equation with -type kernel : \begin{align*} γ\partial_t \le…
math.AP2026
Non-local evolution equations with Lévy diffusion: Well-posedness and limiting behavior
Xi Huang, Li Peng, Yong Zhou
The paper analyzes evolution equations with nonlocal time dependence and Lévy diffusion, establishing existence of classical and mild solutions and proving that as the Lévy index a…