4 papers · 1 filter
Local Gevrey regularity and Quasi-Monte Carlo quadrature for PDEs parameterized on non-compact domains
Dinh DÅ©ng, Dinh Dũng, Tùng Lê +2
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…
Analytic and Gevrey class regularity for parametric semilinear reaction-diffusion problems and applications in uncertainty quantification
Alexey Chernov, Tung Le
We investigate a class of parametric elliptic semilinear partial differential equations of second order with homogeneous essential boundary conditions, where the coefficients and t…
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…
Analytic and Gevrey class regularity for parametric elliptic eigenvalue problems and applications
Alexey Chernov, Tung Le
We investigate a class of parametric elliptic eigenvalue problems with homogeneous essential boundary conditions where the coefficients (and hence the solution ) may depend on a…