1D Radiative Fluid and Liquid Crystal Equations.

Intro
1D Radiative Fluid and Liquid Crystal Equations
Contents
Foreword
Preliminary
Some Basic Inequalities
The Sobolev Inequalities
The Interpolation Inequalities
The Poincaré Inequality
The Classical Bellman-Gronwall Inequality
The Generalized Bellman-Gronwall Inequalities
The Uniform Bellman-Gronwall Inequality
The Young Inequalities
The Hölder Inequalities
The Minkowski Inequalities
Asymptotic Behavior of Solutions for the One-Dimensional Infrarelativistic Model of a Compressible Viscous Gas with Radiation
Main Results
Global Existence and Uniform-in-Time Estimates in H1
Asymptotic Behavior of Solutions in H1
Global Existence and Uniform-in-Time Estimates in H2
Asymptotic Behavior of Solutions in H2
Global Existence and Uniform-in-Time Estimates in H4
Asymptotic Behavior of Solutions in H4
Bibliographic Comments
Global Existence and Regularity of a One-Dimensional Liquid Crystal System
Main Results
Global Existence in H1 x H1 0 x H2
Proof of Theorem 3.1.2
Proof of Theorem 3.1.3
Bibliographic Comments
Large-Time Behavior of Solutions to a One-Dimensional Liquid Crystal System
Introduction
Uniform Estimates in Hi x Hi0 x Hi+1 (i = 1, 2) and H4 x H4 0 x H4
Large-Time Behavior in Hi x Hi0 x Hi+1 (i = 1, 2) and H4 x H4 0 x H4
Bibliographic Comments
Bibliography
Index.