| 期刊全稱 | Advances in Mathematical Fluid Mechanics | | 期刊簡稱 | Lecture Notes of the | | 影響因子2023 | Josef Málek,Jind?ich Ne?as,Mirko Rokyta | | 視頻video | http://file.papertrans.cn/149/148813/148813.mp4 | | 發(fā)行地址 | A collection of survey articles from top specialists in fluid mechanics.Includes supplementary material: | | 圖書封面 |  | | 影響因子 | This book consists of six survey contributions that are focused on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids. The first article "Viscous flows in Besov spaces" by M area Cannone ad- dresses the problem of global existence of a uniquely defined solution to the three-dimensional Navier-Stokes equations for incompressible fluids. Among others the following topics are intensively treated in this contribution: (i) the systematic description of the spaces of initial conditions for which there exists a unique local (in time) solution or a unique global solution for small data, (ii) the existence of forward self-similar solutions, (iii) the relation of these results to Leray‘s weak solutions and backward self-similar solutions, (iv) the extension of the results to further nonlinear evolutionary problems. Particular attention is paid to the critical spaces that are invariant under the self-similar transform. For sufficiently small Reynolds numbers, the conditional stability in the sense of Lyapunov is also studied. The article is endowed by interesting personal and historical comments and an exhaustive bibliography that gives the re | | Pindex | Book 2000 |
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