Communications in Mathematical Sciences

Inviscid limit to the shock waves for the fractal Burgers equation

Criteria for the $a$-contraction and stability for the piecewise-smooth solutions to hyperbolic balance laws

Markov jump processes and collision-like models in the kinetic description of multi-agent systems

A macroscopic traffic flow model with finite buffers on networks: well-posedness by means of Hamilton–Jacobi equations

Seemingly stable chemical kinetics can be stable, marginally stable, or unstable

On a nonlocal differential equation describing roots of polynomials under differentiation

Non-degenerate stationary solution for outflow problem on the 1-D viscous heat-conducting gas with radiation

Two-front solutions of the SQG equation and its generalizations

Global existence for Nernst–Planck–Navier–Stokes system in $\mathbb{R}^n$

Rademacher complexity and the generalization error of residual networks