Communications in Mathematical Sciences

An asymptotic preserving scheme for Lévy-Fokker-Planck equation with fractional diffusion limit

High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities

A generalized mean-field game model for the dynamics of pedestrians with limited predictive abilities

Continuum limits for adaptive network dynamics

Kinetic model for myxobacteria with directional diffusion

Stabilized exponential time differencing schemes for the convective Allen–Cahn equation

Low-Mach type approximation of the Navier–Stokes system with temperature and salinity for free surface flows

Dissipation enhancement for a degenerated parabolic equation

Global convergence of triangularized orthogonalization-free method

Local solvability for a quasilinear wave equation with the far field degeneracy: 1D case

The existence and limit behavior of the shock layer for 1D stationary compressible non-Newtonian fluids

Asymptotic behavior of solutions to the unipolar hydrodynamic model of semiconductors with time-dependent damping in bounded domain

Globally convergent Dai–Liao conjugate gradient method using quasi-Newton update for unconstrained optimization