2 papers
math.NA2026
Local Gevrey regularity and Quasi-Monte Carlo quadrature for PDEs parameterized on non-compact domains
Dinh Dũng, Tùng Lê, Alexey Chernov
We establish local Gevrey regularity for the weak solution to parametric divergence-form diffusion elliptic PDEs, assuming the diffusion coefficient itself possesses local Gevrey p…
math.NA2025
Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models
Alexey Chernov, Tung Le
We investigate parameteric Navier-Stokes equations for a viscous, incompressible flow in bounded domains. The coefficients of the equations are perturbed by high-dimensional random…