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# Communications in Mathematical Sciences

## Volume 18 (2020)

### Number 4

### Contents

Local well and ill posedness for the modified KdV equations in subcritical modulation spaces

pp. 909-946

Intensity fluctuations in random waveguides

pp. 947-971

Unique weak solutions of the non-resistive magnetohydrodynamic equations with fractional dissipation

pp. 987-1022

Nilpotent decomposition of solvable Lie algebras

pp. 1041-1054

Global solutions of a diffuse interface model for the two-phase flow of compressible viscous fluids in 1D

pp. 1055-1086