LEADER 03152nam 2200529 450 001 9910807365303321 005 20240116064104.0 010 $a2-7598-2904-9 024 7 $a10.1051/978-2-7598-2904-0 035 $a(CKB)5860000000297409 035 $a(DE-B1597)641532 035 $a(DE-B1597)9782759829040 035 $a(OCoLC)1371240354 035 $a(MiAaPQ)EBC30800163 035 $a(Au-PeEL)EBL30800163 035 $a(PPN)269858903 035 $a(EXLCZ)995860000000297409 100 $a20240116d2022 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$a1D Radiative Fluid and Liquid Crystal Equations /$fYuming Qin 205 $aFirst edition. 210 1$a[Place of publication not identified] :$cScience Press, EDP Sciences,$d[2022] 210 4$dİ2022 215 $a1 online resource (152 p.) 225 0 $aCurrent Natural Sciences Series 311 $a2-7598-2903-0 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tContents -- $tForeword -- $tChapter 1 Preliminary -- $tChapter 2 Asymptotic Behavior of Solutions for the One-Dimensional Infrarelativistic Model of a Compressible Viscous Gas with Radiation -- $tChapter 3 Global Existence and Regularity of a One-Dimensional Liquid Crystal System -- $tChapter 4 Large-Time Behavior of Solutions to a One-Dimensional Liquid Crystal System -- $tBibliography -- $tIndex 330 $aThis book presents recent results on nonlinear evolutionary fluid equations, in particular the global well-posedness and asymptotic behavior of solutions to 1D radiative fluid equations, as well as liquid crystal equations. Most of the material in this book was prepared by the author over the past few years.This book has two main features. Firstly, there are more known results on higher dimensional radiative fluid systems but only on the local existence and explosion of solutions; while the existing findings on the one-dimensional case present some shortcomings, this book introduces corrections and improvements of these shortcomings. Secondly, the current findings on the high-dimensional compressible liquid crystal fluid equations are few and include only globally existing solutions but not the asymptotic behavior of the solutions; the author developed not only the global existence and regularity of the solutions, but also the asymptotic behavior of the solutions for the one-dimensional case in the chapter 3 of this book. Therefore, this work provides the reader with complete elements related to the one-dimensional compressible liquid crystal fluid system. 410 0$aCurrent Natural Sciences Series 606 $aEquations of motion 606 $aHodograph equations 615 0$aEquations of motion. 615 0$aHodograph equations. 676 $a531.110151 700 $aQin$b Yuming$0314000 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910807365303321 996 $a1D Radiative Fluid and Liquid Crystal Equations$93977682 997 $aUNINA