000			02845nam a22003257a 4500
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005			20250325203552.0
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020			_a9783030362256
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a517.95 _bHIE-M
100			_aHieber, Matthias
245			_aMathematical analysis of the Navier-Stokes equations : _bCetraro, Italy 2017
260			_aCham : _bSpringer, _c2020.
300			_avii, 462 pages
490			_aLecture notes in mathematics ; _v2254 _x0075-8434
490			_aLecture notes in mathematics (Springer-Verlag). CIME Foundation subseries
520			_aThis book collects together a unique set of articles dedicated to several fundamental aspects of the Navier–Stokes equations. As is well known, understanding the mathematical properties of these equations, along with their physical interpretation, constitutes one of the most challenging questions of applied mathematics. Indeed, the Navier-Stokes equations feature among the Clay Mathematics Institute's seven Millennium Prize Problems (existence of global in time, regular solutions corresponding to initial data of unrestricted magnitude). The text comprises three extensive contributions covering the following topics: (1) Operator-Valued H∞-calculus, R-boundedness, Fourier multipliers and maximal Lp-regularity theory for a large, abstract class of quasi-linear evolution problems with applications to Navier–Stokes equations and other fluid model equations; (2) Classical existence, uniqueness and regularity theorems of solutions to the Navier–Stokes initial-value problem, along with space-time partial regularity and investigation of the smoothness of the Lagrangean flow map; and (3) A complete mathematical theory of R-boundedness and maximal regularity with applications to free boundary problems for the Navier–Stokes equations with and without surface tension. Offering a general mathematical framework that could be used to study fluid problems and, more generally, a wide class of abstract evolution equations, this volume is aimed at graduate students and researchers who want to become acquainted with fundamental problems related to the Navier–Stokes equations.
650			_aNavier-Stokes equations
650			_aPartial differential equations
650			_aQuasilinear evolution equations
650			_aFluid and aerodynamics
700			_aRobinson, James C.
700			_aShibata, Yoshihiro
700			_aGaldi, Giovanni P. _eeditor
700			_aShibata, Yoshihiro _eeditor
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-3-030-36226-3/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/48704420-mathematical-analysis-of-the-navier-stokes-equations?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35984 _d35984