Communications in Mathematical Sciences

Fractional Keller–Segel equation: Global well-posedness and finite time blow-up

Existence and local uniqueness for the Stokes-Nernst-Planck-drift-diffusion-Poisson system modeling nanopore and nanowire sensors

$3D$ crystal image analysis based on fast synchro-squeezed transforms

Regularity and singularity results for the dissipative Whitham equation and related surface wave equations

The classical limit of quantum observables in the conservation laws of fluid dynamics

Regularizing effect for conservation laws with a Lipschitz convex flux

Nonlinear functional approach for mono-cluster flocking to the discrete Cucker–Smale model

The regularity criteria on the magnetic field to the $3D$ incompressible MHD equations

The kinetic Fokker–Planck equation with weak confinement force

Bubble assemblies in ternary systems with long range interaction

Stability and decay rates for a variant of the 2D Boussinesq–Bénard system