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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.