Communications in Mathematical Sciences

Selection and mutation in a shifting and fluctuating environment

Wave breaking for a model equation for shallow water waves of moderate amplitude

Homogenization of a discrete network model for chemical vapor infiltration process

Complexity of randomized algorithms for underdamped Langevin dynamics

On the continuous time limit of ensemble square root filters

A nonlocal model of elliptic equation with jump coefficients on manifold

Global strong solutions for planar full compressible Hall-MHD equations with large initial data

Kinetic and hydrodynamic models for the relativistic Cucker–Smale ensemble and emergent behaviors

Self-similar solutions of the spherically symmetric Euler equations for general equations of state

Global solutions to rotating motion of isentropic flows with cylindrical symmetry

Optimal sample complexity of subgradient descent for amplitude flow via non-Lipschitz matrix concentration