1D Radiative Fluid and Liquid Crystal Equations
Published on 11. October 2022
152 pages
978-2-7598-2904-0 (ISBN)
Description
No detailed description available for "1D Radiative Fluid and Liquid Crystal Equations".
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Edition
Digital original
Language
English
Place of publication
Les Ulis
France
Target group
Professional and scholarly
US School Grade: College Graduate Student
Edition type
Digital original
ISBN-13
978-2-7598-2904-0 (9782759829040)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Qin Yuming :
Dr. Yuming QIN is full professor, head of Mathematics Department and director of Institute of Nonlinear Sciences of Donghua University. His research interests are global (local) wellposedness of solutions and infinite-dimensional dynamical systems for nonlinear evolutionary equations including fluid equations such as Navier-Stokes equations, MHD, etc, and thermo(visco)elasticequations.
Content
- 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
