Nonlinear Dispersive Waves and Fluids (Contemporary Mathematics)

Mathematicians review some recent developments in the mathematical theory of quantum waves and fluids. Among their topics are blowup rate for mass critical rotational nonlinear Schröder equations, the almost global existence of a classical solution for a three-dimensional wave equation of nematic liquid-crystals, the uniqueness of standing-waves for a non-linear Schrödinger equation with three pure-power combinations in dimension one, a regularity upgrade of pressure, and orbital stability of standing waves for fractional Hartree equations with unbounded potentials. The 15 research papers and survey articles are from two special sessions at the AMS-MAA Joint Mathematics Meeting in Atlanta during January 2017. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)