Communications in Mathematical Sciences

A penalty method for some nonlinear variational obstacle problems

Non reflection and perfect reflection via Fano resonance in waveguides

Quantum Kac’s chaos

A regularity criterion of strong solutions to the 2D Cauchy problem of the kinetic-fluid model for flocking

Diffusion problems in multi-layer media with nonlinear interface contact resistance

Dynamical behaviors of a system modeling wave bifurcations

Approximate homogenization of convex nonlinear elliptic PDEs

A first-order reduction of the Cucker–Smale model on the real line and its clustering dynamics

A splitting method for overcoming the curse of dimensionality in Hamilton–Jacobi equations arising from nonlinear optimal control and differential games with applications to trajectory generation

Detection of conductivity inclusions in a semilinear elliptic problem arising from cardiac electrophysiology

The global attractor for the 3-D viscous primitive equations of large-scale moist atmosphere

Residual diffusivity in elephant random walk models with stops

An elementary proof of convex phase retrieval in the natural parameter space via the linear program PhaseMax