Communications in Mathematical Sciences

Initial value problem for the free-boundary magnetohydrodynamics with zero magnetic boundary condition

The 3D incompressible Boussinesq equations with fractional partial dissipation

Asymptotic expansion with boundary layer analysis for strongly anisotropic elliptic equations

A unified system of FB-SDEs with Lévy jumps and double completely-$\mathcal{S}$ skew reflections

The generalized Riemann problem and instability of delta shock to the chromatography equations

Bifurcation of traveling waves in a Keller–Segel type free boundary model of cell motility

Thin film flow dynamics on fiber nets

Semigroups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations

Global well-posedness and asymptotics for a penalized Boussinesq-type system without dispersion

A family of asymptotic models for internal waves propagating in intermediate/deep water

On a multi-species Cahn–Hilliard–Darcy tumor growth model with singular potentials

The direct and inverse elastic scattering problems for two scatterers in contact

Resetting of a particle system for the Navier–Stokes equations