000			01913 a2200253 4500
003			OSt
005			20250210172537.0
008			250205b xxu||||| |||| 00| 0 eng d
020			_a9781470430962
040			_cIIT Kanpur
041			_aeng
082			_a515.3530153205 _bT782l
100			_aTsai, Tai-Peng
245			_aLectures on Navier-Stokes equations _cTai-Peng Tsai
260			_bAmerican Mathematical Society _c2018 _aProvidence
300			_axii, 224p
440			_aGraduate studies in mathematics
490			_v; no.192
520			_aThis book is a graduate text on the incompressible Navier-Stokes system, which is of fundamental importance in mathematical fluid mechanics as well as in engineering applications. The goal is to give a rapid exposition on the existence, uniqueness, and regularity of its solutions, with a focus on the regularity problem. To fit into a one-year course for students who have already mastered the basics of PDE theory, many auxiliary results have been described with references but without proofs, and several topics were omitted. Most chapters end with a selection of problems for the reader. After an introduction and a careful study of weak, strong, and mild solutions, the reader is introduced to partial regularity. The coverage of boundary value problems, self-similar solutions, the uniform $L^3$ class including the celebrated Escauriaza-Seregin-Sverak Theorem, and axisymmetric flows in later chapters are unique features of this book that are less explored in other texts. The book can serve as a textbook for a course, as a self-study source for people who already know some PDE theory and wish to learn more about Navier-Stokes equations, or as a reference for some of the important recent developments in the area.
650			_aFluid dynamics
650			_aIncompressible viscous fluids
650			_aNavier-Stokes equations
942			_cBK
999			_c567188 _d567188