Communications in Mathematical Sciences

Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions

Shallow water viscous flows for arbitrary topopgraphy

Stability of reconstruction schemes for scalar hyperbolic conservations laws

Exact artificial boundary conditions for quasilinear elliptic equations in unbounded domains

Global existence of weak solutions to the regularized Hookean dumbbell model

A variational formulation for a level set representation of multiphase flow and area preserving curvature flow

Orbital stability of numerical periodi nonlinear Schrödinger equation

Multicommodity flows on road networks

Breakdown of homogenization for the random Hamilton-Jacobi equations

A fast algorithm for solving first-order PDEs by L1-minimization

Avalanches in networks of weakly coupled phase-shifting rotators

A Beale-Kato-Madja breakdown criterion for an Oldroyd-B fluid in the creeping flow regime