Communications in Mathematical Sciences

Global well-posedness of the free-surface damped incompressible Euler equations with surface tension

Energy-stable second-order linear schemes for the Allen–Cahn phase-field equation

Numerical stochastic homogenization by quasilocal effective diffusion tensors

Sharp energy criteria and singularity of blow-up solutions for the Davey–Stewartson system

Generalization of Kreiss theory to hyperbolic problems with boundary-type eigenmodes

Corrector homogenization estimates for a non-stationary Stokes–Nernst–Planck–Poisson system in perforated domains

A variational structure for interacting particle systems and their hydrodynamic scaling limits

Nonparametric Bayesian inference for Gamma-type Lévy subordinators

Special solutions to a fourth-order nonlinear parabolic equation in non-divergence form

Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: Second-order, linear, unconditionally energy-stable schemes

Nonlocal approximation of elliptic operators with anisotropic coefficients on manifold