Communications in Mathematical Sciences

Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme

Necessary conditions for blow-up solutions to the restricted Euler–Poisson equations

On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter

Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems

A fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations

Design of a mode converter using thin resonant ligaments

Sub-exponential convergence to steady-states for 1-D Euler–Poisson equations with time-dependent damping

On the analyticity and gevrey regularity of solutions to the three-dimensional inviscid Boussinesq equations in a half space

An energy preserving discretization method for the thermodynamic Kuramoto model and collective behaviors

A Fourier collocation method for Schrödinger–Poisson system with perfectly matched layer

Global solution for equations governing the low-frequency ion motion in plasma

The Bramson correction for integro-differential Fisher–KPP equations