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1D Radiative Fluid and Liquid Crystal Equations

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Title: 1D Radiative Fluid and Liquid Crystal Equations
Description: This book presents recent results on nonlinear evolutionary fluid equations, in particular the global well-posedness and asymptotic behavior of solutions to 1D radiative fluid equations, as well as liquid crystal equations. Most of the material in this book was prepared by the author over the past few years.This book has two main features. Firstly, there are more known results on higher dimensional radiative fluid systems but only on the local existence and explosion of solutions; while the existing findings on the one-dimensional case present some shortcomings, this book introduces corrections and improvements of these shortcomings. Secondly, the current findings on the high-dimensional compressible liquid crystal fluid equations are few and include only globally existing solutions but not the asymptotic behavior of the solutions; the author developed not only the global existence and regularity of the solutions, but also the asymptotic behavior of the solutions for the one-dimensional case in the chapter 3 of this book. Therefore, this work provides the reader with complete elements related to the one-dimensional compressible liquid crystal fluid system.
Authors: Yuming Qin
Resource Type: eBook.
Subjects: Hodograph equations
Categories: MATHEMATICS / Differential Equations / Partial
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 3555259
RelevancyScore: 1110
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1109.74133300781
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  Data: 1D Radiative Fluid and Liquid Crystal Equations
– Name: Abstract
  Label: Description
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  Data: This book presents recent results on nonlinear evolutionary fluid equations, in particular the global well-posedness and asymptotic behavior of solutions to 1D radiative fluid equations, as well as liquid crystal equations. Most of the material in this book was prepared by the author over the past few years.This book has two main features. Firstly, there are more known results on higher dimensional radiative fluid systems but only on the local existence and explosion of solutions; while the existing findings on the one-dimensional case present some shortcomings, this book introduces corrections and improvements of these shortcomings. Secondly, the current findings on the high-dimensional compressible liquid crystal fluid equations are few and include only globally existing solutions but not the asymptotic behavior of the solutions; the author developed not only the global existence and regularity of the solutions, but also the asymptotic behavior of the solutions for the one-dimensional case in the chapter 3 of this book. Therefore, this work provides the reader with complete elements related to the one-dimensional compressible liquid crystal fluid system.
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.353
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Hodograph equations
        Type: general
    Titles:
      – TitleFull: 1D Radiative Fluid and Liquid Crystal Equations
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Yuming Qin
      – PersonEntity:
          Name:
            NameFull: Yuming Qin
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2022
            – D: 01
              M: 03
              Type: profile
              Y: 2023
          Identifiers:
            – Type: isbn-print
              Value: 9782759829033
            – Type: isbn-electronic
              Value: 9782759829040
          Titles:
            – TitleFull: 1D Radiative Fluid and Liquid Crystal Equations
              Type: main
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