Communications in Mathematical Sciences

A hierarchy of dispersive layer-averaged approximations of Euler equations for free surface flows

A new phase-field approach to variational implicit solvation of charged molecules with the Coulomb-field approximation

On SDP method for solving canonical dual problem in post buckling of large deformed elastic beam

A semi-supervised heat kernel pagerank MBO algorithm for data classification

Time periodic solutions for a three-dimensional non-conservative compressible two-fluid model

The 3D compressible viscoelastic fluid in a bounded domain

Error estimates of finite difference time domain methods for the Klein–Gordon–Dirac system in the nonrelativistic limit regime

Regularized semi-supervised least squares regression with dependent samples

Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations

Analytical validation of a $2+1$ dimensional continuum model for epitaxial growth with elastic substrate

Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization

Global well-posedness for $n$-dimensional Boussinesq system with viscosity depending on temperature

Non-isothermal electrokinetics: energetic variational approach