Communications in Mathematical Sciences

Machine learning methods for autonomous ordinary differential equations

A note on the relaxation process in a class of non-equilibrium two-phase flow models

Asymptotic stability of nonlinear wave for an inflow problem to the compressible Navier-Stokes-Korteweg system

Stability for the 2D Micropolar equations with partial dissipation near Couette flow

Global smooth solutions to the two-dimensional axisymmetric Zeldovich-von Neumann-Döring combustion equations with swirl

IMEX variable step-size Runge-Kutta methods for parabolic integro-differential equations with nonsmooth initial data

Existence and large time behavior for a dissipative variant of the rotational NLS equation

The conditional barycenter problem, its data-driven formulation and its solution through normalizing flows

An efficient interface hydrostatic reconstruction for the two-layer shallow flows with arbitrary wet-dry fronts

A note on enhanced dissipation of time-dependent shear flows

The hydrostatic limit of the Beris-Edwards system in dimension two

Localization and the landscape function for regular Sturm-Liouville operators

A diffuse interface approach for vector-valued PDEs on surfaces