Communications in Mathematical Sciences

Unique minimizer for a random functional with double-well potential in dimension 1 and 2

Entropies for radially symmetric higher-order nonlinear diffusion equations

Corrector theory for elliptic equations in random media with singular Green’s function. application to random boundaries

Unconditionally stable schemes for higher order inpainting

A mathematical model for the hard sphere repulsion in ionic solutions

Pricing and hedging contingent claims with regime switching risk

Exponentially-stable steady flow and asymptotic behavior for the magnetohydrodynamic equations

Gaussian processes associated to infinite bead-spring networks

Approximate solutions to several visibility optimization problems

Frame-based segmentation for medical images

Homogenization of the g-equation with incompressible random drift in two dimensions

Critical thresholds in multi-dimensional restricted Euler equations

Derivation of continuum models for the moving contact line problem based on thermodynamic principles

A sharp bound on the l² norm of the solution of a random elliptic difference equation

Kramers’ formula for chemical reactions in the context of Wasserstein gradient flows