Communications in Mathematical Sciences

Cauchy–Born rule and stability of crystalline solids at finite temperature

The Cauchy problem for a non strictly hyperbolic $3 \times 3$ system of conservation laws arising in polymer flooding

A Cahn–Hilliard model with a proliferation term for the proliferative-to-invasive transition of hypoxic glioma cells

Regularized least square kernel regression for streaming data

Numerical methods for stochastic differential equations based on Gaussian mixture

Microscopic and macroscopic traffic flow models including random accidents

Remarks on the energy inequality of a global $L^\infty$ solution to the compressible Euler equations for the isentropic nozzle flow

On the sedimentation of a droplet in Stokes flow

Global existence of strong solutions to the planar compressible magnetohydrodynamic equations with large initial data in unbounded domains

Dynamics of the three dimensional viscous primitive equations of large-scale moist atmosphere

On bifurcation of self-similar solutions of the stationary Navier–Stokes equations

A simple real-space scheme for periodic Dirac operators

The singularities for a periodic transport equation